inWrite the equation of the line that passes through (7, - 4) and (- 1, 2) slope- intercept form.

Answers

Answer 1

Answer:

General Equation of a Line

[tex]General Equation \\(y - y_{1} )= m (x-x_{1}) \\Slope=m= \frac{x_{2}-x_{1} }{y_{2}-y_{1} } \\\\Given:\\p_{1}=(7,-4)\\p_{2}=(-1,2)\\Solution:\\m=(\frac{-1-7}{2-(-4)}) =\frac{-8}{6}\\y-(-4) = (\frac{-8}{6} )(x-7)\\y+4=\frac{-8x}{6} + 56\\y=\frac{-8x}{6} + 52 \\\\The\\ equation \\ is \\ y=\frac{-8x}{6} + 52[/tex]

Step-by-step explanation:

Find the slope first and then place the values on the general formula. The final step is to solve for y


Related Questions

The estimate obtained from a sample of which of the following sizes would most likely be closest to the actual parameter value of a population?

Answers

To obtain an estimate of a parameter of a population, we use confidence intervals.

Confidence intervals:

The larger the sample size, the closest the parameter estimate is to the value of the population, as the margin of error of confidence intervals is inversely proportional to the sample size, that is, a greater sample leads to a smaller margin of error.

Thus, you should select the highest sample size in the options.

For more on confidence interval/margin of error, you can check https://brainly.com/question/22718960

If the area of a rectangular field is x2 – 3x + 4 units and the width is 2x – 3, then find the length of the rectangular field.

Answers

Answer:x²-3 x+4/ 2x-3 units

Step-by-step explanation:

Area = Length * Width sq. units

x^2 - 3x + 4 = Length * 2x - 3

=>Length = x^2- 3 x + 4/ 2 x − 3 units

The number of home runs scored by teams in the Brooksfield baseball league are
normally distributed and have a mean of 94 and a standard deviation of 8. What
percentage of the teams have scored more than 102 home runs?

Answers

Step-by-step explanation:

o ne demek kaarrrşiömm hııı

4(v+4)–7=17 please help me

Answers

Answer:

v = 2

Step-by-step explanation:

4(v+4)–7=17

=> 4(v + 4) = 17 + 7

=> 4v + 16 = 24

=> 4v = 24 - 16

=> 4v = 8

[tex] = > v = \frac{8}{4} [/tex]

=> v = 2 (Ans)

Answer:

v=2

Step-by-step explanation:

4(v+4)–7=17

Distribute

4v+16 -7 = 17

Combine like terms

4v +9 =17

Subtract 9 from each side

4v+9-9=17-9

4v = 8

Divide by 4

4v/4 = 8/4

v=2

The price of 5 kg of rice is ₹83.75. How many kilograms of rice can you buy for ₹670?

Answers

Answer:

40 kg

Step-by-step explanation:

[tex]\frac{5}{83.75} :\frac{y}{670}[/tex]

y · 83.75 = 5 · 670

83.75y = 3350

83.75y ÷ 83.75 = 3350 ÷ 83.75

y = 40

The amount of rice you can buy for ₹670 is given by the equation

A = 40 kilograms

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of rice for ₹670 be A

Now , the equation will be

The amount for 5 kg of rice = ₹ 83.75

So , the amount for 1 kg of rice = amount for 5 kg of rice / 5

The amount for 1 kg of rice = 83.75 / 5

The amount for 1 kg of rice = ₹ 16.75

So , the amount of rice for ₹ 670 = 670 / amount for 1 kg of rice

The amount of rice for ₹ 670 = 670 / 16.75

The amount of rice for ₹ 670 = 40 kilograms

Therefore , the value of A is 40 kilograms

Hence , the amount of rice is 40 kg

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The lengths of the sides of a triangle are 3, 3, 312. Can the tangle be a right triangle?

Answers

Answer:

Yes it can be right angle triangle

Write your answer as a polynomial or a rational function in simplest form

Answers

Answer:

-x²

Step-by-step explanation:

[tex](f+g)(x)\\\\5x-x^2-5x\\\\-x^2[/tex]

Help please and thank you

Answers

Answer:

x = y² - 7

Step-by-step explanation:

the inverse function is simply an exchange of x and y (and then the simplification happens to transform the whole expression back into a form y = ....)

Which inequality is represented by this graph?

OA. y<-1/5x+1
OB. y>= -1/5x+1
OC. y<= -1/5x+
OD. y>-1/5x+1​

Answers

Answer:

Option A is correct

Step-by-step explanation:

Hope it is helpful....

One of the legs of a right triangle measures 12 cm and its hypotenuse measures 20
cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
cm
Submit Answer
attempt 1 out of 2
PLS HELP

Answers

Answer:

16

Step-by-step explanation:

First use the Pythagorean theorem a^2+b^2=c^2.

12^2+b^2=20^2. Solve the exponents: 144+b^2=400. Then, subtract the 144 from 400. That would be 256. Therefore b^2=256. Then you find the square root of 256=16.

Step-by-step explanation:

using pythogoras theory

hyp^2=opp^2+adj^2

you have been given the hyp and the opp so lets make the unknown x

20^2=12^2+x^2

400 =144+x^2

make x the subject of the formula

400-144=x^2

266=x^2

x=the square root of 266

in a 41-49 right triangle, the hypotenuse is 28.83 centimeters. if cos 41= 0.7547, find the length of the side opposite the 49 angle. Estimate your answer to three decimal places

Answers

Answer:

21.758

Step-by-step explanation:

If you draw the triangle out, you find that cos 41 = x/28.83, when x is equal to the side opposite the 49 angle

Simplify this into 28.83 cos 41, and plug it into the calculator and you get

21.75827.

tan30°+cos30°÷tan30°×cos30°​

Answers

Answer:

{1/√3+1/2} ÷{1/√3× 1/2}

(2+√3)/2√3÷(1/2√3)2+√3+1 /2√3(2+1 )+√3 /2√33 +√3 /2√3

Which of the following is a solution of y + x < -5?

(-2, -3)
(-4, -2)
(-3, -2)
(-1, -3)

Answers

The answer is (-4, -2)

-2 + -4 < -5

-6 < -5

Hope this helps!

Answer:

(- 4, - 2 )

Step-by-step explanation:

Substitute the coordinate value into the left side of the inequality and compare the value obtained to the right side

(- 2 , - 3 )

- 3 - 2 = - 5 = - 5 ← not a solution

(- 4, - 2 )

- 2 - 4 = - 6 < - 5 ← solution

(- 3, - 2 )

- 2 - 3 = - 5 ← not a solution

(- 1, - 3 )

- 3 - 1 = - 4 > - 5 ← not a solution

Geometry, please answer question ASAP

Answers

Answer:

i think 60 degree is the answer

Answer:

72°

Step-by-step explanation:

There are 5 petals , so

angle of rotation = 360° ÷ 5 = 72°

Find m so that the equation msin²x+cos²x=m-1 has a solution on the interval (0;π/4)​

Answers

msin²x+cos²x=m-1

since the interval are 0 and π/4

Therefore

msin²(0)+cos²(0)=m-1

m(0)+1=m-1

1=m-1

m=2

use π/4 now

msin²(π/4)+cos²(π/4)=m-1

m(1/2)+(1/2)=m-1

m+1=2(m-1)

m+1=2m-2

-m=-3

m=3

Therefore

m=2 or 3

142°
3xº + 22°
X=
degrees.

Answers

Answer:

x = 40°

Step-by-step explanation:

The 2 angles are vertical angles and are congruent , then

3x + 22 = 142 ( subtract 22 from both sides )

3x = 120 ( divide both sides by 3 )

x = 40°

Answer:

10000+1241222+24122+907979+153647612232

1

The scores of James in his math test are 75, 78, 89, and 71. What score on the next test will make James’ average at least 80 ?
x > 87
x > 87
x < 87
x < 87

Answers

Answer: x ≥ 87

Step-by-step explanation:

Set the minimum score on the next test as x & calculate it:

[tex]\frac{75+78+89+71+x}{5} =80\\\\75+78+89+71+x=80(5)\\\\313+x=400\\\\x=400-313=87[/tex]

So they need at least a score of 87 for the average to be 80+.

Answer:

x ≥ 87

Step-by-step explanation:

what is the equation in slope intercept form 3 y - 9= 12x please help fast ​

Answers

Answer:

Step-by-step explanation:

Slope intercept form is y = mx + b where m is the slope and b is the y intercept SO

y = mx + b

3y - 9 = 12x

3y = 12x + 9 (divide by common denominator 3)

y = 4x + 3

What is the value of the expression: 4+42 +22

Answers

Answer:

84

Step-by-step explanation:

[tex]4^3+4^2+2^2= 64+16+4=84[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{4^3 + 4^2 + 2^2}}[/tex]

[tex]\huge\boxed{\mathsf{4^3}}[/tex]

[tex]\huge\boxed{\mathsf{= 4 \times 4 \times 4}}[/tex]

[tex]\huge\boxed{\mathsf{= 16\times 4}}[/tex]

[tex]\huge\boxed{\mathsf{= \bf 64}}[/tex]

[tex]\huge\boxed{\mathsf{4^2}}[/tex]

[tex]\huge\boxed{\mathsf{= 4 \times 4}}[/tex]

[tex]\huge\boxed{\mathsf{= \bf 16}}[/tex]

[tex]\huge\boxed{\mathsf{2^2}}[/tex]

[tex]\huge\boxed{\mathsf{= 2 \times 2}}}[/tex]

[tex]\huge\boxed{\mathsf{= \bf 4}}[/tex]

[tex]\huge\boxed{\mathsf{= 64 + 16 + 4}}[/tex]

[tex]\huge\boxed{\mathsf{= 80 + 4}}[/tex]

[tex]\huge\boxed{\mathsf{= \bf 84}}[/tex]

[tex]\huge\boxed{\mathsf{Answer: 84}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

how did they get 3/4 ?

someone please help me explain

Answers

Answer: 0.6/0.8

= (0.6*100)/(0.8*100) {multiplying by 100 in both numerator and denominator}

= 60/80 (cut the zero)

= 6/8 (cut by 2)

= 3/4

what does the rational form of the ratio a:b look like

Answers

Answer:

a/b

Step-by-step explanation:

The rational form of a:b or simply a/b is in the simplest form.

Answer:

Step-by-step explanation:

the answer is option 2 from the above sheet

find the angle measures given the figure is a rhombus.​

Answers

Answer:

92

Step-by-step explanation:

180-88

Olivia is fixing her bicycle. She starts fixing it at 9:34 am and finishes at 1 pm. How much
time did she spend fixing her bicycle?

Answers

Answer:

3 hours 26 minutes

Step-by-step explanation:

26 minutes(9.34am to 10am)+3 hours(10am to 1pm)=3 hours 26 minutes

The total time that she spend fixing her bicycle is 3 hr 26 minutes

Calculating total time

Given the following parameters

Time that Olivia starts fixing bicycle= 9:34 am

Time she finishes = 1pm

The total number of hours spent from 9:34am and 12:34pm is 3 hrs. The remaining minutes to 1 pm is 26 minutes.

Hence the total time that she spend fixing her bicycle is 3 hr 26 minutes

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In this activity, you will create an equation for a function represented by a verbal description.

Vicky charged her phone’s battery to 100 percent. Then she took the phone off the charger. When her phone is off the charger, it loses 5 percent of its battery life every hour. What function models the percentage of battery life left in terms of the number of hours since Vicky took it off the charger?

What is the initial value of the function? Is it positive or negative? Explain your answer.

What is the function’s rate of change? Is it positive or negative? Explain your answer.

Answers

Answer:

1) The initial value of the function is the y-value when the x-value is zero. The number of hours is the x-value and the percentage of battery life left is the y-value. When the number of hours, x, is 0, the percentage of remaining battery life, y, is 100 percent. So, the initial value of the function is 100. The initial value is positive because the percentage of remaining battery life cannot be negative.

2) The rate of change is the rate at which the y-value changes with respect to a change in the x-value. When off the charger, the phone loses its battery life at a constant rate of 5 percent per hour. So, the function’s rate of change is -5. The rate of change is negative because the rate indicates that the percentage of remaining battery life decreases as the number of hours increases.

Step-by-step explanation: I just did the tutorial right now i hope this helps

Answer:

part a = The number of hours since Vicky took the phone off the charger is the independent quantity, so the variable x should represent it.

part b = The percentage of battery life left in hours is the dependent quantity, so the variable y should represent it.

part c = The initial value of the function is the y-value when the x-value is zero. The number of hours is the x-value and the percentage of battery life left is the y-value. When the number of hours, x, is 0, the percentage of remaining battery life, y, is 100 percent. So, the initial value of the function is 100. The initial value is positive because the percentage of remaining battery life cannot be negative.

part d = The rate of change is the rate at which the y-value changes with respect to a change in the x-value. When off the charger, the phone loses its battery life at a constant rate of 5 percent per hour. So, the function’s rate of change is -5. The rate of change is negative because the rate indicates that the percentage of remaining battery life decreases as the number of hours increases.

part e = The rate of change of the function, m, is -5, and the initial value of the function, b, is 100. Substitute the values of m and b in the equation y = mx + b. The equation of the function that models the phone’s remaining battery life in terms of the number of hours from the time Vicky took it off the charger is y = -5x + 100.

Step-by-step explanation:

All edmentum answers :)

Peter plays basketball. In one game, he needs to score at least 38 points to have a
season high of 1,200 points. He scores x number of 2 pointers and y number of 3
pointers and meets his goal of at least 38 points.
Using the variables given, write an inequality describing this scenario.

Answers

2x + 3y > 38

I am currently on mobile, but the > should have a solid line beneath. I know that 2x + 3y needs to be greater than or equal to 38, since if he scores less than 38 points he won’t meet his season high of 1,200.

HELP ME WITH THIS PLS IM FAILING REALLY BAD ITS PYTHAGOREAN THEOREM

Answers

Answer:

50 km

Step-by-step explanation:

c = √a^2+b^2

=√30^2+40^2

= √900 + 1600

=√2500

= 50 km

Answer:

50km

Step-by-step explanation:

Solve: 3w + 2 = 20 Write a real world problem that this equation represents.

Answers

Step-by-step explanation:

3w + 2 = 20

       -2    -2

------------------

3w = 18

----    ----

 3       3

   w = 6

You and your 2 friends have 20 fruits in total and your friend's mother gave you and your friends two more.

Hope this helped.

Given :

Equation – 3w + 2 = 20

Solution :

3w + 2 = 20

Transpose 2 to the right hand side of the given equation

3w = 20 - 2

Now, simplify the right hand side

3w = 18

Cross multiply

w = 18/3

w = 6

Hence, the solution of the equation is 6

trigonometric identities help

Answers

Answer:

5/13

Step-by-step explanation:

Sin = 12/13

cos= 5/13

Tan= 12/5

divide 12by8 and 4by3​

Answers

12by8=1.5 4by3=1.3 1.5by1.3=1.12

List pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons. Given ABDF ~ VXZT



** I NEED HELP I KEEP GETTING IT WRONG**

Answers

Given:

[tex]ABDF\sim VXZT[/tex]

To find:

The pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons.

Solution:

We have,

[tex]ABDF\sim VXZT[/tex]

The corresponding angles of similar polygons are congruent. So,

[tex]\angle A\cong \angle V[/tex]

[tex]\angle B\cong \angle X[/tex]

[tex]\angle D\cong \angle Z[/tex]

[tex]\angle F\cong \angle T[/tex]

The corresponding sides of similar polygons are proportional. So,

[tex]\dfrac{AB}{VX}=\dfrac{BD}{XZ}=\dfrac{DF}{ZT}=\dfrac{A F}{VT}[/tex]

Therefore, the required solutions are [tex]\angle A\cong \angle V,\angle B\cong \angle X,\angle D\cong \angle Z,\angle F\cong \angle T[/tex] and [tex]\dfrac{AB}{VX}=\dfrac{BD}{XZ}=\dfrac{DF}{ZT}=\dfrac{A F}{VT}[/tex].

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