a. What iS the slope of the line that passes through (-2, 3) and (4, -5)?

Answers

Answer 1

Answer:

slope = - [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 3 ) and (x₂, y₂ ) = (4, - 5 )

m = [tex]\frac{-5-3}{4-(-2)}[/tex] = [tex]\frac{-8}{4+2}[/tex] = [tex]\frac{-8}{6}[/tex] = - [tex]\frac{4}{3}[/tex]


Related Questions

Use a table to find two consecutive integers between which the solution lies.
1. 6x+5=81

2. -115b+80=-489

someone please help me with this :,)

Answers

Answer:

352/7  is answer

Step-by-step explanation:

Determine f of the quantity 3 plus h end quantity minus f of 3 all over h if f (x) = 3x − 2.

2
3
2h
3h

Answers

Answer:

B. 3

Step-by-step explanation:

Given:

f(x) = 3x - 2

Find the following:

[f(3 + h) - f(3)]/h = [3(3 + h) - 2 - (3(3) - 2)]/h = (9 + 3h - 2 - 9 + 2)/h = 3h / h =3

Correct choice is B

f(x)=3x-2

f(3+h):-

[tex]\\ \sf\longmapsto f(3+h)[/tex]

[tex]\\ \sf\longmapsto 3(3+h)-2[/tex]

[tex]\\ \sf\longmapsto 3h+9-2[/tex]

[tex]\\ \sf\longmapsto 3h+7[/tex]

f(3):-

[tex]\\ \sf\longmapsto 3(3)-2[/tex]

[tex]\\ \sf\longmapsto 9-2[/tex]

[tex]\\ \sf\longmapsto 7[/tex]

Now

[tex]\\ \sf\longmapsto \dfrac{f(3+h)-f(3)}{h}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3h+7-7}{h}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3h}{h}[/tex]

[tex]\\ \sf\longmapsto 3[/tex]

Write 40% as a fraction

Answers

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

40% = [tex]\frac{40}{100}[/tex] ( divide numerator and denominator by 20 )

40% = [tex]\frac{2}{5}[/tex]

Answer:

Step-by-step explanation:

40%= 40/100

Percent is out of 100 and written as % so there for it is 40 out of 100 or 40 over 100

40/

What happens to the value of y in the following equation as the value of x increases, where x is a whole number?

y = x 2 + 4

Answers

Answer:

y as well will increase as x value increases bc x is a whole number and y intercept is positive 4

It is found that as the x value increases then the y value will also increase.

What does it mean to solve an equation?

An equation represents the equality of two or more mathematical expressions. When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold for those values). Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

We have been given the equation as y = x² + 4

when the value of x is 0 then the value of y will be;

y = x² + 4

y = 0 + 4

y = 4

when the value of x is 1 then the value of y will be;

y = 1² + 4

y = 1 + 4

y = 5

Also when the value of x is 2 then the value of y will be;

y = 2² + 4

y = 4 + 4

y = 8

Thus we can conclude that as the x value increases then the y value will also increase.

Learn more about solving equations here:

https://brainly.com/question/18015090

#SPJ2

What is 5.8 to 1 decimal place?

Answers

5.8 to 1 decimal place would be 0.58


A conditional statement is defined as a hypothesis starting with the term 'lf" and ending with the conclusion starting with
the term “then”
A. True
B. False

Answers

Answer:

False

Step-by-step explanation:

The form of a hypothesis is If, then, because.

in the given diagram ,
( angle )AOC= 20 °/• of ( angle )BOC . find the measure of ( angle )AOE if OE is the bisector of
( angle ) AOD

• need a well explained ans
• no spams and plagiarism
• kindly stay out of the question if u don't know the ans

Answers

Answer:

It should be BOC

Step-by-step explanation:

this is because a bisector is always a cross or any other shape that cuts something into its exact half (unlike intersect which can cut any shape in any form unlike its exact half )

so, as you can see in the figure, angle BOC is bisecting* AOC at its exact half, angle BOC is the answer.

Also, the measure of BOC (angle) should be 53°

A trapezoid has interior angle measures of 90, 90, 75 and ? degrees. Find the measure of angle in the trapezoid. Enter only the number of degrees in the answer box. Angle measures blankdegrees.

Answers

Answer:

105 degrees.

Step-by-step explanation:

Total of angles in trapezoid = 360

so the answer is

360 -(90+90+75)

= 105

ABCD is a quadrilateral.
AB = CD.
Angle DAB = angle CDA.
Prove that AC = BD.

Answers

Answer:

Draw the diagonals AC and BD, and observe the two triangles ABD and ACD you created. They have side lenghths AB and CD equal by hypotesis, side lenght AD in common, and the angle inbetween congruent by hypotesis. The two triangles are congruent (albeit mirrored vertically) by SAS. The third sides are then congruent, QED.

PLEASE SOMEONE HELP ME OUT THIS IS URGENT PLEASE AND THANK YOU! ):

Answers

Answer:

for the first line let (-4,-3) be (x1,y1) and (8,0) be x2,y2.

now,

slope (m1) = (y2-y1)/ (x2-x1)

or, m1= 0-(-3)/ 8-(-4)

or, m1=3/12=1/4

again, for line two consider (0,2) as x1,y1 and (-1,6) be (x2,y2)

apply the same formula and find the slope(m2)

m2=6-2/-1-0

or, m2=4/-1

for b) m1 multiply m2

or 1/4 x 4/-1

=-1 so it is perpendicular

Step-by-step explanation:

for a we simply apply the formula of slope considering the given points as x1,y1 and x2,y2 respectively.

while for the b number if m1 x m2 =-1 the line is considered to be perpendicular.

similarly, if m1=m2 then it is considered to be parallel.

here m1 is slope of the first line, m2 is slope of second line and m3 is the slope of the third line

what is the characterstic and mantissa of 8. Full steps​

Answers

Answer:

characteristic: 0mantissa: 0.90309

Step-by-step explanation:

The terms "characteristic" and "mantissa" refer to parts of the logarithm of a number. Their values will be different, depending on the base of logarithms used.

The base 10 (common) logarithm of 8 is ...

  log(8) ≈ 0.90309

The characteristic is the integer portion of the logarithm: 0.

The mantissa is the fractional portion of the logarithm: 0.90309.

_____

Additional comment

To be more technically precise, the "characteristic" is the "floor" of the logarithm: the greatest integer not greater than the log value. For example, the characteristic of log(0.003) = -2.522879 is -3. The mantissa is the (positive) fractional value after the characteristic is subtracted. The mantissa of log(0.003) is 0.477121.

The mantissa can always be found in log tables. It corresponds to the log of a value between 1 and 10. The characteristic is the exponent of 10 the number would have if it were written in scientific notation.

  0.003 = 3×10^-3

  log(0.003) = log(3) + log(10^-3) = -3 +log(3) = characteristic + mantissa

a 5-foot tall girl casts a 7-foot long shadow. a nearby telephone pole casts a 35-foot long shadow. what is the height of the telephone pole?

Answers

Answer:

25 feet.

Step-by-step explanation:

The triangles formed are similar so:

5/h = 7/35  where h = height of the pole.

7h = 5*35

h = 5*35/ 7

h = 5*5

h = 25.

Round 0.574 to the nearest tenth.

Answers

Answer:

0.674

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

Rate of change problem:

theres 2 ways but it’s a basically the same thing, if you do these questions enough you’d know right away to find the unit rate of gallon of gasoline To price.

So you can divide.

10 gallons, 23 dollars

23 ÷ 10 = $2.30

$2.30 per gallon of gasoline.

Now we multiply by 15 to find how much will 15 gallons will cost.

2.3*15= $34.5

or you can do it proportionally, this is if you would want to show your work more clearly or just started doing these problems.

So we can make x unknown price.

So we know its 10 gallons for 23 dollars

we want to know how much it would be for 15 gallons

So we can do it like gallon/ price = gallon/ price

ex:

10/23 = 15/x

Make sure it’s lined up correctly

Now just cross multiply and solve for this proportion

10x= 345

now solve

x= 34.5

same answer

please some one helppppp!!!!!!!!!!!!!!​

Answers

Answer:

22.49

Step-by-step explanation:

(4.83)² × 6√0.276 / 3.27 =

23.3289 × 6(0.5254) / 3.27 =    (rounded)

22.49 (rounded)

Put these in order starting with the smallest.

Answers

Answer:

Step-by-step explanation:

[tex]9^{\frac{3}{2} }[/tex] = ( √9 )³ = 27

[tex]27^{\frac{1}{3} }[/tex] = ∛27 = 3

[tex]125^{\frac{2}{3} }[/tex] = ( ∛125 )² = 25

[tex]27^{\frac{1}{3} }[/tex] , [tex]125^{\frac{2}{3} }[/tex] , [tex]9^{\frac{3}{2} }[/tex]

Answer:

[tex] {27}^{ \frac{1}{3} } < {125} ^{ \frac{2}{3} } < {9}^{ \frac{3}{2} }[/tex]

Step-by-step explanation:

[tex] {9}^{ \frac{3}{2} } = \sqrt[2]{ {9}^{3} } = \sqrt[2]{ {3}^{6} } = { 3}^{3} \\ {27}^{ \frac{1}{3} } = \sqrt[3]{27} = \sqrt[ 3]{ {3}^{3} } = 3 \\ {9}^{ \frac{3}{2} } > {27}^{ \frac{1}{ 3} } \\ \\ {125}^{ \frac{2}{3} } = \sqrt[3]{ {125}^{2} } = \sqrt[3]{ {5}^{6} } = 25 \\ \\ 3 < 25 < {3}^{3} \\ {27}^{ \frac{1}{3} } < {125} ^{ \frac{2}{3} } < {9}^{ \frac{3}{2} }[/tex]

Solve for c
I will mark brainliest

2(c+1)=10

Answers

Answer:

c = 4

Step-by-step explanation:

[tex]2(c + 1) = 10[/tex]

[tex] \mapsto2c + 2 = 10[/tex]

[tex] \mapsto2c = 10 - 2[/tex]

[tex] \mapsto2c = 8[/tex]

[tex] \mapsto \: c = 8 \div 2[/tex]

[tex] \therefore \: c = 4[/tex]

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

[tex]x = 14[/tex]

Step-by-step explanation:

[tex]x \sin(30) = 7 \\ x = \frac{7}{ \sin(30) } \\ x = 7 \times 2 \\ x = 14[/tex]

Of the numbers 4, 5, 6, and 7, which is a solution to the inequality “t+2<7

Answers

Answer:

Step-by-step explanation:

F(x)=0

Answer: C

It is right lol

PLEDE HELP ME EMERGENCYYYYYY

Answers

Answer:

1) drinks = $10

2) food = $25

3) total = 7 parts

Step-by-step explanation:

1) 2×5=10

2) 5×5=25

3) 2part+5part=10part

Step-by-step explanation:

the other answer can be a bit confusing.

and the last sentence there is wrong. it should be 2 parts plus 5 parts is 7 parts.

anyway, in questions like this you need to first clarify : how many parts are being used as the whole.

think of it like a cake or a pizza. one friend will eat 2 slices, another will eat 3 slices, and you want only one. then into how many slices do you have to cut the pizza, if there should be no pizza left ?

so, in our case here, the drinks get 2 "slices" of the whole pizza of $35. and food gets 5 "slices". and together they have now the whole pizza.

so the whole pizza was cut into 2+5 = 7 slices.

now we need to spread the whole $35 "pizza" evenly on its 7 slices (or parts).

remember : we use division for that.

35/7 = $5

so, one slice (or part) of the whole $35 is $5.

since drinks get 2 slices (or parts), this is then 5+5 or 5×2 = $10

and food gets 5 slices (or parts). this is then 5+5+5+5+5 or 5×5 = $25

and to verify : $10 + $25 = $35. so, yes, we did not make any mistake. the sum is indeed the total of $35.

7. a) Find the value of x. (3 pts)
b) Find m B
c) Find m X
380
x + 2
с
Mathits.com
А
coloso

Answers

Step-by-step explanation:

6) (2x+1) + (x+15) + x = 180

x = 41

So (2x+1) = 83 is the largest one

7) a) x + x+2 + 38 = 180

x=70

b) m<70

c) m<72

8) 9x = 180

x = 20

X =20

H= 40

E = 80

PLS HELP!!! WILL GIVE BRAINLIEST

Answers

Answer:

10/5 - 4

Step-by-step explanation:

you have to write down what you understand from the sentence.

First, you read it carefully since it says quotient then you will have to put that first and then subtraction. Normally you would put subtraction in front because the sentence is in that order. But since your dealing with division then the subtraction part would go afer.

10/5 - 4

Answer: uhh i think both are correct since the order of operation states that you must do division over subtraction first, it doesn't matter which position 4 is in, but you must do the division first.

HJ and KM are parallel lines. Which angles are alternate interior angles?

A. <JIL and <KLN
B. <JIL and <JIG
C. <JIL and <HIG
D. <JIL and <KLI​

Answers

Answer:

D

Step-by-step explanation:

this is the correct answr

Please help me with this question :)

Answers

Answer:

B

B

B

Step-by-step explanation:

Probability doesn't deal with decimals and even if you change the values into fraction. I don't think you will get the right answer


the question is in the picture, 30 points and BRAINLIEST if right!!

Answers

Answer: relation 3 function relation 4 not a function

Step-by-step explanation:

Number one is function number two is relation

What would y equal in this equation?
3 + 4/1y = 5x + 2

Answers

Step-by-step explanation:

Since you can't directly solve for [tex]y[/tex] in this question, we will use substitution to solve for

[tex]{\large{\boxed{\mathbb{QUESTION}}}[/tex]  

What would y equal in this equation?

[tex]\begin{bmatrix}3+\frac{4}{1}y=5\\ x+2=0\end{bmatrix}[/tex]

[tex]{\large{\boxed{\mathbb{SOLVE\:FOR\:Y}}}[/tex]

[tex]3+\frac{4}{1}y=5[/tex]

First, we will subtract 3 from both sides of the equation

[tex]\frac{4}{1}y=2[/tex]

Simplify

[tex]{4}y=2[/tex]

Divide both sides by 4

[tex]y=\frac{1}{2}[/tex]

[tex]{\large{\boxed{\mathbb{SOLVE\:FOR\:X}}}[/tex]

[tex]x+2=0[/tex]

subtract 2 to both sides

[tex]x=-2[/tex]

[tex]{\large{\boxed{\mathbb{ANSWER}}[/tex]

[tex]y=\frac{1}{2}[/tex] [tex]x=-2[/tex]  

_____________________________________

If we didn't use the method with substitution and had our equation being

[tex]3+\frac{4}{1y}=5x+2[/tex]

our answer would've been

[tex]y=\frac{-4}{-5x+1}[/tex], I highly doubt this would be the right answer.

Have a good day :) !

Mathematics need help please i beg you​

Answers

Answer:

a) 3.50x + 1.75y=21 b) 6 c) 12 d) yes e) no

Step-by-step explanation:

A) you take the cost of the beads and add a variable the cost is per pound and you don't know how many pounds there are.

B) 3.50x = 21 you divide 3.50 on both side to get the variable alone and get how much pounds George gets.(blue beads)

C) 1.75y = 21 it is the exact process as the last but with the red beads instead

D) you take the equation you got and sub in the 4's in for the variables and you get 21

E) You do the same thing that was done in D (make sure you look at what they lbel it so you don't numbers in the wrong spot.)

if you pay 6$ for a pound of something how much would it cost to buy 2.6 pounds

Answers

Answer:

[tex]6\cdot2.6=15.6[/tex]$ for [tex]2.6[/tex] pounds

Step-by-step explanation:

Rate - [tex]6[/tex] dollars per pound

We have [tex]2.6[/tex] pounds

Here's our equation

[tex]6\cdot2.6[/tex]

Solve

[tex]6\cdot2.6=15.6[/tex] for [tex]2.6[/tex] pounds

When doing curls, John is careful to extend through the full range of motion and quickly lock his elbows to make sure that he does not drop the weight. This is an example of __________. A. A good technique because he moves quickly B. A bad technique because he moves through the range of motion C. A good technique because he is paying attention to form D. A bad technique because he quickly locks a joint Please select the best answer from the choices provided. A B C D.

Answers

Answer:

d

Step-by-step explanation:

Answer: D. A bad technique because he quickly locks a joint!

Step-by-step explanation: On Edge!

What is the solution to this equation?
3(a - 4) + 1 = 9 - a
O a = 3
a = 5
O a = 6
O a = 10

Answers

Answer:

B. a = 5

Step-by-step explanation:

3(a - 4) + 1 = 9 - a

Distribute the 3 into the parenthesis.

3a - 12 + 1 = 9 - a

Add -12 and 1.

3a - 11 = 9 - a

Add a to both sides.

4a - 11 = 9

Add 11 to both sides.

4a = 20

Divide both sides by 4.

a = 5.

Proof:

3(a - 4) + 1 = 9 - a

Substitute variable.

3(5 - 4) + 1 = 9 - 5

Subtract inside parenthesis.

3(1) + 1 = 9 - 5

Multiply 3 and 1.

3 + 1 = 9 - 5

Add 3 and 1.

4 = 9 - 5

Subtract 5 from 9.

4 = 4.

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