Find the slope of the line

Find The Slope Of The Line

Answers

Answer 1

Answer:

-1

Step-by-step explanation:

y = -1

Answer 2
-1 because that's where the point is on the y-axis.

Related Questions

an isosceles triangle is such that AC=BC and has vertices A=(3,4), B=(7,4) and C=(5,8) a) Calculate the length of AC B) the line of symmetry of the triangle meets the line AB at M what are the coordinates of M​

Answers

Answer:

Step-by-step explanation:

A( 3 , 4)  &   C(5 , 8)

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

[tex]AC = \sqrt{(5-3)^{2}+(8-4)^{2}}\\\\=\sqrt{(2)^{2}+(4)^{2}}\\\\=\sqrt{4+16}\\\\=\sqrt{20}\\\\= 4.47 units[/tex]

M is the midpoint of AB

A(3,4)  &B(7,4)

[tex]M(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\M(\frac{3+7}{2},\frac{4+4}{2})\\\\M(\frac{10}{2},\frac{8}{2})[/tex]

M(5,4)

Numeric Response 4. In an arithmetic series, the first term is -12 and the 15th term is 40. The sum of the first 15 terms is (Record your answer in the numerical-response section below.)

Your answer should be in.0000​

Answers

In any artihmetic sequence, consecutive terms differ by a fixed constant c. So given the first term a, the second term is a + c, the third terms is a + 2c, and so on, up to the n-th term a + (n - 1)c.

If the 15th term is 40, then

40 = -12 + (15 - 1) c   ==>   c = 52/14 = 26/7

We can then write the n-th term as

-12 + (n - 1) 26/7 = (26n - 110)/7

The sum of the first 15 terms is then

[tex]\displaystyle \sum_{n=1}^{15}\frac{26n-110}7 = \frac{26}7\sum_{n=1}^{15}n - \frac{110}7\sum_{n=1}^{15}n = \boxed{210}[/tex]

Another way to compute the sum: let S denote the sum,

S = -12 - 58/7 - 32/7 + … + 228/7 + 254/7 + 40

Reverse the order of terms:

S* = 40 + 254/7 + 228/7 + … - 32/7 - 58/7 - 12

Notice that adding up terms in the same position gives the same result,

-12 + 40 = 28

-58/7 + 254/7 = 28

-32/7 + 228/7 = 28

so that

S + S* = 2S = 28 + 28 + 28 + … + 28 + 28 + 28

There are 15 terms in the sum, so

2S = 15×28   ==>   S = 15×28/2 = 210

Why is it useful to have different forms of linear equations?

Answers

It is also useful because we can read the slope and y-intercept from the equation. Often, when we are given equations in other forms, we can rewrite it in slope-intercept form to get the slope and y-intercept.

Linear equation is the equation of a straight line.

Forms of a linear equation

The forms of a linear equation are:

Slope intercept form - [tex]\mathbf{y = mx + b}[/tex].Point slope form - [tex]\mathbf{y - y_1 = m (x - x_1)}[/tex].Standard form - [tex]\mathbf{Ax +Bx = C}[/tex].

Slope intercept form

From the slope intercept form, one can easily deduce the slope and the y-intercept of the linear equation

Point slope form

From the point-slope form, one can easily deduce the slope and the points of the graph of the linear equation

Standard form

From the standard form, the values of x and y can be easily calculated.

Hence, the usefulness of having different forms of linear equation is that they all serve different purposes, even through they represent the same graph.

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Find an equation of the line having the given slope and containing the given point m= - 8, (2,5) The equation of the line is y= (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the expression)​

Answers

Answer:

Equation of line is y = -8x + 21

Step-by-step explanation:

Slope, m = -8

General equation of line:

[tex]{ \boxed{ \bf{y = mx + c}}}[/tex]

At point (2, 5), y = 5 and x = 2:

[tex]{ \tt{5 = ( - 8 \times 2) + c}} \\ { \tt{c = 21}}[/tex]

Therefore:

[tex]{ \sf{y = - 8x + 21}}[/tex]

[tex]{ \underline{ \blue{ \sf{christ \:† \: alone }}}}[/tex]

Write an equation of the line. What is the equation of the line?

Answers

Answer:

y=-1

Step-by-step explanation:

As the line is horizontal in nature and pass through (2,-1), the equation is y=-1

1. 6/5 x 3/4
2. 2/3 x 8/5
3. 5/2 x 4/3

Answers

Answer:

hope this might help you

Answer:

1. 9/10

2. 16/15 or 1 1/15

3. 20/6 or 3 1/3

Step-by-step explanation:

Multiply one fraction’s numerator by the other fractions numerator over multiplying one fraction’s denominator by the other fraction’s denominator.

The points A,B,C and D divide the line segment AD in the ratio 4:3:1 , respectively , and AD = 72cm . What is the length of BD?

Answers

Segment addition postulate states that given points X, and Z, on a line, a point Y, can be located between X, and Z, ony if we have;

XZ = XY + YZ

The length of the segment BD is 36  cm

The reason the above value is correct is as follows:

Known:

The ratio in which the points A, B, C, and D divide the line segment = 4:3:1

The length of segment AD = 72 cm

Required:

The length of BD

Method:

Calculate the length of BC and CD and add their values to get BD

Solution:

Let the ratios be given unit proportions of the segment AD such that we have;

AB = 4 units

BC = 3 units

CD = 1 unit

By segment addition postulate, we have;

AD = AB + BC + CD

∴ AD = 4 units + 3 units + 1 unit = 8 units = 72 cm

∴ 1 unit = 72 cm/8 = 9 cm

1 unit = 9 cm

BD = BC + CD by segment addition postulate

BC = 3 units = 3 × 1 unit

∴ BC = 3 × 9 cm = 27 cm

BC = 27 cm

CD = 1 unit

∴ CD = 9 cm

∴ BD = 27 cm + 9 cm = 36 cm

The length of segment BD = 36 cm

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Klog earns $6.30 per hour. He worked 3.5 hours each day Monday through Friday plus 4 on Saturday. How much did he earn altogether?

Answers

Answer:

Klog earned $135.45 altogether.

Step-by-step explanation:

Hours

Monday - Friday : 5 days / 3.5 hours

Saturday : 1 day / 4 hours

3.5 · 5 + 4

= 17.5 + 4

= 21.5

Money

$6.30 per hours / 21.5 hours

6.30 · 21.5

= $135.45

Simplify 2m^2 – 2m + 3m^2

Answers

Answer:

5m^2-2m

Step-by-step explanation:

2m^2-2m + 3m^2

5m^2-2m

Answer:

5m² - 2m

Step-by-step explanation:

Given

2m² - 2m + 3m² ← collect like terms

= (2m² + 3m²) - 2m

= 5m² - 2m

Choose which is a statistical question: What are
the ages of the students in this class? or How
many pennies equal 1 dollar? Explain.

Answers

The statistical question is; "What are the ages of the students in this class?

What is a statistical question?

A statistical question is always aimed at data collection which can subsequently used for analysis and decision making. Statistical questions are asked in the course of research.

Among the two questions, the statistical question is; "What are the ages of the students in this class?

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simplify (5^0+4^-0•5)^2​

Answers

Answer:

anything raised to the power of zero= 1

(1+1/4^½)²

(1 + 1/2)²

(3/2)²

9/4

=2.25

Identify the glide reflection rule in the given figure.

Question 8 options:

Translation: (x,y) → (x – 5,y); Reflection across y-axis


Translation: (x,y) → (x,y – 5); Reflection across y-axis


Translation: (x,y) → (x,y + 5); Reflection across y-axis


Translation: (x,y) → (x,y + 5); Reflection across x-axis

Answers

Answer:

B

Step-by-step explanation:

The shape clearly is reflected across y axis and the x coordinates remain the same. We can see a change in the y coordinates and the shape has shifted 5 units down. Hence (x, y) -> (x, y-5) and then reflection across y axis is the answer

Answer:

B

Step-by-step explanation:

Convert 13pi/6 to a degree measure

A=390
B=2450.44
C=30
D=780

Answers

Answer:

390 degrees

Step-by-step explanation:

The conversion factor is 180/pi

13 pi /6 * 180/pi

13/6 *180

390

I’m having a lot of trouble, can someone guide me, step by step?

Answers

Answer:

Hi hopefully this helps you!

Step-by-step explanation:

To find the area of a circle you can use the formula A = πr^2

The radius of a circle is just the diameter divided by 2. In this case we know the diameter is 3, so the radius is 1.5

A = π(1.5)^2

   = 7.07

Because this is a semicircle, divide this area by 2

   = 3.53429 in^2

Add up the area of this semi circle with the area of the rectangle

A = (3.53429) + (3x4)

   = 15.53429 in^2

To find the circumference/ perimeter of a circle use this formula C = 2πR

C = 2π(1.5)

   = 9.42478 inches

Again because this is a semicircle, divide by 2

   = 9.42478 / 2

   = 4.71239 inches

To find the perimeter of this entire shape add up the circumference of the semicircle and the rectangle's sides and bottom

P = 4.71239 + 4 + 4 + 3

  = 15.71239 inches

So the final answer would be

A = 15.53 squared inches

P = 15.71 inches

Hope this helps! Best of luck in your studies <3

If (5^(k-1))+(5^(k+1)) = m, what is 2*5^k in terms of m?


If [tex]5^k^-^1+5^k^-^1=m[/tex], what is [tex]2*5^k[/tex] in terms of m?

A) 5m

B) 5m÷2

C) 5m÷13

D) 5m÷26

Answers

Answer:

5m

Step-by-step explanation:

5^(k-1)+5^(k-1)=m

Going to combine like terms on left:

2×5^(k-1)=m

Law of exponents applied:

2×5^k×5^(-1)=m

Reciprocal:

2×5^k×1/5=m

Multiply 5 on both sides to obtain the requested:

2×5^k=5m

a grocery store buys boxes of cereal for $ 2.00 each and sells them for 50% more. what does the grocery store charge its customers for each box of cereal?

Answers

Answer:

$3.00

Step-by-step explanation:

First find the markup

2.00 * 50%

2 * .5

1

Add this to the original price

2+1 =3

The store sells the cereal for $3.00

Answer:

$3

Step-by-step explanation:

The grocery store pays $2.00 for each box of cereal bought.

First, find 50% of the cost of each box:

2.00 x 0.50 = 1.00

Next, add the additional amount to the starting price:

2.00 + 1.00 = $3.00

$3.00 is your answer.

~

There are 135 people in a sport centre. 73 people use the gym. 59 people use the swimming pool. 31 people use the track. 19 people use the gym and the pool. 9 people use the pool and the track. 16 people use the gym and the track. 4 people use all three facilities. How many people didn't use any facilities?​

Answers

Answer:

24 people

Step-by-step explanation:

((The numbers are up there, so I am not going to define each variable.))

For starters, there is no overlap between the double facilities groups, except the triple facility users, so:

19 + 9 + 16 - 4 = 40 people

Since there is overlap between single and double groups, you will need to subtract, so:

Gym: 73 - 19 - 16 = 38

Pool: 59 - 19 - 9 = 31

Track: 31 - 9 - 16 = 6

Total for 1 facility: 38 + 31 + 6 - 4 = 71 people

((Minus 4 because the 4 triple facility users overlap the double facility users (problem is in layers: layer 1 minus layer 2, then minus layer 3).))

Next, add the totals:

71 + 40 = 111 people (using facilities)

135 - 111 = 24 people (who didn't use any)

(((I'm not 100% sure on this answer, so if someone could check my work, that would be much appreciated.)))

solve the following: If 7a – 4b = 3, then b =

Answers

Answer:

D (7a-3)/4

Step-by-step explanation:

7a – 4b = 3

Subtract 7a from each side

7a-7a – 4b = 3-7a

-4b = 3 -7a

Divide by -4

-4b/-4 = (3-7a)/-4

b = (7a-3)/4

Answer:

b = (7a - 3)/4

Step-by-step explanation:

7a - 4b = 3

=> -4b = 3 - 7a

=> b = (3 - 7a)/(-4)

=> b = -(3 - 7a)/4

=> b = (-3 + 7a)/4

=> b = (7a - 3)/4

Davina uses a diagram to demonstrate the Pythagorean Theorem.
3
hypotenuse
How are the squares related to the sides of the triangle?
The area of each square is equal to the square of the length of the side to which it is adjacent.
The area of each square is equal to the length of the side to which it is adjacent.
The sum of the areas of the squares is equal to the square of the perimeter of the triangle.
The perimeter of each square is twice the length of the side of the triangle squared.

Answers

Answer:

the first option : The area of each square is equal to the square of the length of the side to which it is adjacent.

a teacher had 23 pupils to her class. all but 7 of them went on an excursion trip and thus were away for the day. how many students remains in the class that day.

Answers

Answer:

16

Step-by-step explanation:

If the teacher had 23 but then 7 had to go away for a trip, then all you do is subtract 23 and 7:

23-7= 16

Thus, the teacher had 16 students that day after the 7 went away.

7 remained in the class that day

calculate the area of shaded​ region

Answers

Answer:528cm squared
please mark brainliest

Answer:

528 cm squared

Step-by-step explanation:

A parallelogram (slanted shape at the bottom) is essentially the same area as a rectangle.

Therefore, both shapes have the same measurements.

Multiply the length and height of the rectangle to get its area: 22cm×12cm =264cm squared

Since the area of the rectangle corresponds geometrically to the area of the parallelogram, just multiply the area of the rectangle (264cm squared), by 2.

So 264×2, = 528cm squared

Ta da...

find the missing length for the following trapezoid​

Answers

Answer:

15 is the answer I think.

Help me please and thank you

Answers

Answer:

Below

Step-by-step explanation:

The domain tells you if there are any restrictions on the x's

The -5 in the function tells us that it has moved 5 units RIGHT from the original parent function. Because of this, any x coordinates have to be bigger or equal to 5!

So, the domain of this function is x >/ 5

Hope this helps!

Select two choices that are true about the function f(x)=23x+14/x

Answers

Answer:

There is an asymptote at x = 0

There is an asymptote at y = 23

Step-by-step explanation:

Given the function:

(23x+14)/x

Vertical asymptote is gotten by equating the denominator to zero

Since the denominator is x, hence the vertical asymptote is at x = 0. This shows that there is an asymptote at x = 0

Also for the horizontal asymptote, we will take the ratio of the coefficient of the variables in the numerator and denominator

Coefficient of  x at the numerator = 23

Coefficient of x at the denominator = 1

Ratio = 23/1 = 23

This means that there is an asymptote at y = 23

A recipe for eight flapjacks needs 2oz of butter, 3oz of sugar, and 4 oz of rolled oats. How many flapjacks can I make if I have 14 oz of butter, 15 oz of sugar, and 16 oz of rolled oats?

Answers

Answer:

Step-by-step explanation:

Eight flapjacks

2oz of butter

3oz of sugar

4 oz of rolled oats.

Each flapjack

Butter = 2/8 = 1/4 oz

Sugar = 3/8 oz

Rolled oats = 4/8 = 1/2 oz

How many flapjacks can I make if I have

14 oz of butter,

15 oz of sugar, and

16 oz of rolled oats?

Butter

= 14 oz ÷ 1/8 oz

= 14 × 8/1

= 112 flapjack

Sugar

= 15 oz ÷ 3/8 oz

= 15 × 8/3

= 120/3

= 40 flapjacks

Rolled oats

16 oz ÷ 1/2 oz

= 16 × 2/1

= 32 flapjack

Therefore,

Considering the quantity of rolled oats available, the number of flapjacks that could be made is 32

help me with this math question please

Answers

The answer is 245.
44+56+60+85= 245 Which is the least needed to cover the expenses.

Answer:

$44.00 + $85.00 = $129.00

Step-by-step explanation:

The least amount that she needs is $129.00 because we're summing the amount for food and House Rent.

Movies and Shopping are less important.

 Which correlation best describes the data below.

no correlation

weak positive

strong positive

strong negative

Answers

Answer:

strong positive

Step-by-step explanation:

both variables are moving in the same direction and is nearly a line

As x increases, y increases.  This has a strong positive correlation

PLEASE HELP
Find the probability of “landing” in the shaded region of the figures below.

Answers

Answer:

Hello,

p=0.1024

Step-by-step explanation:

The probability is the ratio of the areas of the 2 circles:

[tex]p=\dfrac{\pi*8^2}{\pi*25^2} =\dfrac{64}{625} =0.1024[/tex]

Answer:

64/625.

Step-by-step explanation:

Probability = area of small circle / area of the large one

= 8^2 / 25^2

= 64/625

The blue team scored two more than five times the number of points,p, scored by the red team
Write an expression for the problem

Answers

Answer:

2 + 5p

Step-by-step explanation:

Hi there!

Let [tex]p[/tex] equal the number of points scored by the red team.

We're given:

The blue team scored two more than five times the number of points scored by the red team.

⇒ blue team points = 2 + (5 × red team points)

⇒ blue team points = 2 + 5p

I hope this helps!

The number of pounds of one-dollar-a-pound
coffee needed to mix with 80 pounds of 70¢ a
pound coffee to make a mixture worth 84¢ a
pound is
(A) 70
(B) 80
(C) 95
(D) 65

Answers

Answer:

A

Step-by-step explanation:

Let's say we need x pounds of one-dollar-a-pound coffee . The coffee must average out to 84 cents a pound, and the formula for average is

sum of cost of coffee / number of pounds of coffee, so we have

0.84 = total cost of coffee / (x+80) . The total cost of coffee can be found to be the sum of the cost of $1 coffee and 70 cent coffee, so we have

0.84 = (cost of $1 coffee + cost of 70 cent coffee) / (x+80)

The cost of $1 coffee can be found by adding $1 for each pound of one dollar coffee, or $1 * x. Similarly, the cost of 70 cent coffee is equal to 0.70 * 80, so we have

0.84 = (1*x+0.7*80)/(x+80)

0.84 = (x+56)/(x+80)

multiply both sides by (x+80) to remove a denominator

0.84(x+80) = x+56

0.84x + 67.2 = x+56

subtract both sides by 56 and 0.84x to isolate the x and its coefficients

11.2 = 0.16 x

divide both sides by 0.16 to isolate x

11.2/0.16 = x = 70

The number of pounds of a constituent in a mixture given the cost of the

mixture and the cost and mass of the other constituent can be calculated

by using an equation to model the system

The correct option for the number of pounds of one-dollar- pound coffee needed is option A

(A) 70 pounds

The procedure for arriving at the correct option is as follows:

The given parameters are;

The cost of the the coffee for which the mass in the mixture is to be determined = One-Dollar a pound = 100 ¢ a pound

The mass of the coffee 70¢ a pound coffee to be mixed = 80 pounds

The cost per pound of the mixture = 84 ¢ a pound

The required parameter;

The number of pounds of the one-dollar-a-pound (100 ¢ a pound) coffee in the mixture

Method:

Let x (pound) represent the number of pounds of the one-dollar-a-pound coffee in the mixture, we have;

Mass of mixture = Mass of the one-dollar-a-pound in the mixture, x + Mass of 70 ¢ a pound in the mixture, 80

∴ Mass of mixture in pounds = x + 80

Cost = Cost per pound × Number of pound

Find solution by applying the equation;

Cost of the constituents = Cost of the mixture

Where;

Cost of the constituents = $1 × x + 70 ¢ × 80 = 100 ¢ × x  + 70 ¢ × 80

Cost of the mixture = 84 ¢ × (x + 80)

Therefore;

100 ¢ × x  + 70 ¢ × 80 = 84 ¢ × (x + 80)

The above can be expressed as 100·x + 70×80 = 84 × (x + 80)

Expanding, evaluating and collecting like terms gives;

100·x + 5,600 = 84·x + 6,720

100·x - 84·x = 6,720 - 5,600 = 1,120

16·x = 1,120

x = 1,120/16 = 70

The number of pounds of one-dollar- pound coffee needed, x = 70 pounds

Learn more about equation modelling here;

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During which period was the first stone pyramid built in Saqqara?A. Old KingdomB. Middle KingdomC. Second IntermediateD. New Kingdom The video compares the key similarities and differences between mitosis and meiosis. Determine which events occur in mitosis, meiosis, or in both mitosis and meiosis. Write each event to the appropriate category. a. Chromosomes duplicate during interphase b. The first division separates homologous pairs; the second division separates sister chromatids c. A single division occurs, separating sister chromatids Homologous chromosomes pair up and form chiasmata d. Daughter cells contain recombinant chromosomes e. Process starts with a diploid cell Homologous pairs of chromosomes line up on the metaphase plate f. End result is four haploid cells that are genetically different from each other and the parent cell g. Duplicated chromosomes line up Individually on the metaphase plate in a diploid cel h. End result is two diploid cells that are genetically identical to each other and the parent cell Mitosis Melosis Both mitosis and meiosis What expression is equal to (3 x 5) x 4 Consider the following 8 numbers, where one labelled x is unknown. 27, 20, 34, x, 7, 47, 26, 41 Given that the range of the numbers is 63, work out 2 values of x writing an article for publication in school magazing explaining three reasons why standard of learning falling in your school Lactic acid fermentation takes place after glycolysis in the absence of: A. ATP B. Carbon dioxide C. Glucose D. Oxygen If [tex]x[/tex] is real and p=[tex]\frac{3(x^{2} +1)}{2x-1}[/tex], prove that [tex]p^{2}[/tex]-3(p+3) 0 what means 10 what we call this Answer the following question PLEASE HELP, AND FAST! I WILL GIVE BRAINLIEST!!Given the expression: 6x10 96x2Part A: Rewrite the expression by factoring out the greatest common factor.Part B: Factor the entire expression completely. SHOW THE STEPS OF YOUR WORK. A uniform circular disk has a radius of 34 cm and a mass of 350 g. Its center is at the origin. Then a circular hole of radius 6.8 cm is cut out of it. The center of the hole is a distance 10.2 cm from the center of the disk. Find the moment of inertia of the modified disk about the origin. Please match these questions no files or reported Charley spends all of his income on soft drinks and pizza. Suppose he is currently buying these products in amounts such that his marginal benefit from an additional soft drink is and his marginal benefit from an additional slice of pizza is . If the price of a soft drink is and the price of a slice of pizza is , is Charley maximizing his total benefits? A. No, he should increase his consumption of both goods. B. No, he should shift consumption toward and away from to maximize total benefits. C. Yes, there is no other consumption choice that will make his total benefits greater. D. No, he should shift consumption toward and away from to maximize total benefits.' For any positive interest rate the present value of a given annuity will be less than the sum of the cash flows, and the future value of the same annuity will be greater than the sum of the cash flows.a. Trueb. False Find two numbers that have 2, 5, and 7 as factors. 3c + 2 = -22whats c? sinonimo de tranquilidad I need help ASAP??!!!! What is the equation of a circle with its center at (6,3) and a radius of 12? The synonym of the word 'drag' is