Complete the equation of the line through ( 3 , − 1 ) (3,−1)left parenthesis, 3, comma, minus, 1, right parenthesis and ( 4 , 7 ) (4,7)left parenthesis, 4, comma, 7, right parenthesis.

Answers

Answer 1

Answer:

[tex]y=8x-25[/tex]

Step-by-step explanation:

Given the coordinates:

(3,−1) and (4,7)

To find:

The equation of line passing through the given points.

Solution:

Let us have a look at the slope intercept form of a line:

[tex]y=mx+c[/tex]

c is the y intercept.

Where [tex]m[/tex] is the slope of the line passing through the points [tex](x_1,y_1),(x_2,y_2)[/tex]

Formula for slope is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]x_1 = 3\\y_1 = -1\\x_2 = 4\\y_2 = 7[/tex]

[tex]m=\dfrac{7-(-1)}{4-3}\\\Rightarrow m = 8[/tex]

So, equation of line becomes:

[tex]y=8x+c[/tex]

Let us put (4, 7) to find the value of c:

[tex]7=8\times 4 +c\\\Rightarrow c = -25[/tex]

So, the equation is:

[tex]y=8x-25[/tex]

Answer 2

The equation of the line passing through the points (3.-1), and (4,7) is [tex]y=8x-25[/tex].

Given information:

The given line passes through the points (3.-1), and (4,7).

It is required to write the equation of the line.

Use the two-point form of a line to write the equation of the line:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\y-(-1)=\dfrac{7-(-1)}{4-3}(x-3)\\y+1=8(x-3)\\y+1=8x-24\\y=8x-25[/tex]

From the above equation of the line, the slope is equal to 8.

Therefore, the equation of the line passing through the points (3.-1), and (4,7) is [tex]y=8x-25[/tex].

For more details, refer to the link:

https://brainly.com/question/19082942

Complete The Equation Of The Line Through ( 3 , 1 ) (3,1)left Parenthesis, 3, Comma, Minus, 1, Right

Related Questions

I’m confused and need help

Answers

Okay so basically you will need two sets of working out.
Sandra:
I=PRN
=14000x7x0.045
=4410
Cindy:
I=PRN
=14000x7x0.06
=5880
5880-4410
=1470
Therefore, Cindy earnt $1470 more than Sandra after 7 years.

square root of 1000 (simplified)

Answers

Answer:

10 √10

Step-by-step explanation:

Answer:

[tex]10\sqrt{10}[/tex]

Step-by-step explanation:

The largest perfect square of the factors of 1000 is 100. We can therefore convert √1000 like this:

√100 × 10

Next, we separate the numbers inside the √ as such:

√100 × √10

√100 is a perfect square that equals 10. We can therefore put 10 outside the radical and get the final answer to square root of 1000 in simplest radical form as follows:

10√10

Please help don’t know the answer

Answers

Answer:

D

Explanation:

I'm just typing this part to get to 20 characters

How many ways are there to make 14 cents using any combination of pennies, nickels and dimes?

Answers

There are 13 different ways to make 25 cents with quarters, dimes, nickels, and pennies

Find the value of y if EF = EG.​

Answers

Answer:

55°

Step-by-step explanation:

The question lacks appropriate diagram. Find the diagram in the attachment.

From the diagram, it can be seen that the triangle is an isosceles triangle because two of its sides are parallel (i.e the same). Since two of the sides are the same, hence the two base angles will be the same.

From the diagram, <EFG = <EGF

Since  <EFG  = 55° hence  <EGF = y = 55°

Hence the va;ue of y is 55°

An archaeologist earns $9147 monthly. Determine the amount he is paid annually.

Answers

$9147 x 12 =190,764
12 is how many months there is in a year

Jordan went to the amusement park with $50. He played 5 games each
costing $5. How much money is he left with?
25
O 20
-20
O 5

Answers

Answer:

he left with 0 dollars

Step-by-step explanation:

A scientist has placed 40 bacteria into a petri dish the bacteria will double every hour

Answers

Answer:

that will be 80 bacteria the next hour and just keep multiplying the number of bacteria by 2.

Step-by-step explanation:

Leroy's total job benefits were $50,150 last year. His total job expenses for traveling and for professional developement for the year were $3,500. Which of the following represents his total employment compensation? a. $46,650 b. $47,650 c. $50,150 d. $53,650 Please select the best answer from the choices provided A B C D (Not D)

Answers

Based on the information given his total employment compensation is: a. $46,650

Total employment compensation:

Using this formula

Total employment compensation=Total job benefits -Total job expenses for traveling and for professional development

Where:

Total job benefits=$50,150

Total job expenses=$3,500

Let plug in the formula

Total employment compensation=$50,150-$3,500

Total employment compensation=$46,650

Inconclusion his total employment compensation is: a. $46,650

Learn more about employment compensation here:https://brainly.com/question/24659002

Answer:

A. 46,650

Step-by-step explanation:

Edge 2022.

Solve 3[-x+(2x+1)]=x-1

Answers

Answer:

x = 1

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask ÷)

Find the equation of the line shown ​

Answers

Answer:

y=1/2x+0

Step-by-step explanation:

Since the slope is 1/2 and it starts at the origin, the b value is 0.

Answer:

1/2x

Step-by-step explanation:

if x+y=3, x²+y²=5 then find the value of xy

Answers

Answer:

[tex]\huge\boxed{xy = 2}[/tex]

Step-by-step explanation:

=> [tex]\sf (x+y)^2 = x^2 + y^2 + 2xy[/tex]

Given that [tex]\sf x + y = 3 , x^2 + y^2 = 5[/tex]

=> [tex]\sf (3)^2 = 5 + 2xy[/tex]

=> [tex]9 = 5 + 2xy[/tex]

=> [tex]9-5 = 2xy[/tex]

=> [tex]4 = 2xy[/tex]

Dividing both sides by 2

=> 2 = xy

OR

=> xy = 2

(Y to the eighth power)(y to the second power) simpified

Answers

Answer:

y^10

multiplication of exponents is like addition, you just add exponents

it tom had 6 bottle of dish soap and he times 3 how many dish soap do he had all together

Answers

Answer:

18 dish soaps

Step-by-step explanation:

Answer:

it's 18 dish soap dish bottle.

Step-by-step explanation:

h^2 + 11h +18. The factored expression is

Answers

Answer:

(h+9)⋅(h+2)

Step-by-step explanation:

1.1     Factoring  h2+11h+18  

The first term is,  h2  its coefficient is  1 .

The middle term is,  +11h  its coefficient is  11 .

The last term, "the constant", is  +18  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 18 = 18  

Step-2 : Find two factors of  18  whose sum equals the coefficient of the middle term, which is   11 . -18    +    -1    =    -19  

     -9    +    -2    =    -11  

     -6    +    -3    =    -9  

     -3    +    -6    =    -9  

     -2    +    -9    =    -11  

     -1    +    -18    =    -19  

     1    +    18    =    19  

     2    +    9    =    11    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  2  and  9  

                    h2 + 2h + 9h + 18

Step-4 : Add up the first 2 terms, pulling out like factors :

                   h • (h+2)

             Add up the last 2 terms, pulling out common factors :

                   9 • (h+2)

Step-5 : Add up the four terms of step 4 :

                   (h+9)  •  (h+2)

            Which is the desired factorization

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(h + 9)(h + 2)}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ {h}^{2} + 11h + 18}[/tex]

Here, we have to find out two numbers that adds to 11 and multiplies to 18

[tex] \dashrightarrow{ \sf{ {h}^{2} + (9 + 2)h + 18}}[/tex]

Distribute h through the parentheses

[tex] \dashrightarrow{ \sf{ {h}^{2} + 9h + 2h + 18}}[/tex]

Take h as common. Similarly, take 2 as common

[tex] \dashrightarrow{ \sf{h(h + 9) + 2(h + 9)}}[/tex]

[tex] \dashrightarrow{ \sf{(h + 9)(h + 2)}}[/tex]

Hope I helped!

Best regards! :F

is /62 rational or irrational

Answers

Answer:

yes it is rational

Step-by-step explanation:

it is rational because if 62 can be expressed as a ratio, then a quotient is the result you get when you divide one number by another number. For 62 to be a rational number, the quotient of two integers must equal 62. it can be expressed as a fraction in the form 62/1

1. y = -2 √(25-x ) +8

2. y = -3 √(x+ 9) +4

Please help

Answers

X AND Y INTERCEPTS

1st Answer:

x = 9

Step-by-step explanation:

first you want to substitute the y

0 = -2 √(25 - x + 8)

move the expression to the left

2 √(25 - x) = 8

divide both sides

√25 - x + 4

move the constant to the right

25 - x = 16

calculate

-x = -9

change the signs

x = 9

2nd Answer:

x = -65/9  OR x = - 7 2/9, x = - 7.2

Step-by-step explanation:

first you want to substitute the y

0 = -3 √(x + 9) = 4

move the expression to the left

3√(x+9) = 4

divide both sides

√(x+9) = 4/3

move the constant to the right

x = 16/9 - 9

calculate

x = -65/9

Find the area of the shape shown below.
OH MY GOODNESS, THIS HAS BEEN UP FOR 35 MINUTES AND WITH 50 POINTS, HOW LONG DOES IT TAKE FOR SOMEONE TO ANSWER???

Answers

use the pythag theorem to find the missing side of the trIangle, then find the area of the triangle by using the formula 1/2(l*w). Then add the area of the two triangles to 200 and you have your answer.

Answer:

Try to use pythogorus theorum

Can you help ASAP!!
WILL MARK YOU BRAINLIEST !!!

When factoring 6x^2−7x−20 by grouping, how should the middle term be rewritten?

It should be written as −x−7x.
It should be written as −2x−5x.
It should be written as 8x−15x.
It should be written as x−8x.

Answers

Answer:

It should be written as 8x-15x

Step-by-step explanation:

If you have any questions about the way I solved it, ask in the comments

PLEASE HELP FAST PLEASE AND THANK YOU HELP MY SISTER MEH

Answers

The answers are B , D , and F

Find the slope of the line shown ​

Answers

Answer: m= -1/2

Step-by-step explanation:

m is the gradient of a line. and the formula for gradient is (y2-y1)/(x2-x1)

first, find a point on the line, (-2,1) and that is equal to (x1,y1)

then find another point on the line, (2,-1) and that is equal to (x2,y2)

then substitute your points into the formula above and that is equal to

(-1-1)/(2-(-2))

= -2/4

= -1/2

that is your answer

A function is shown in the graph below.

Which of the following intervals are part of the domain of the function?

Select all that apply.

Answers

Answer:

Option (1)

Step-by-step explanation:

Lines given in the graph represent the piecewise function,

We will find the domain of the given pieces in each quadrant of the graph.

For a line in quadrant 2,

Domain (set of x-values) → [-4, -2]

For second line in the same quadrant,

Domain : [-1, 0]

For a line in quadrant 4,

Domain : [1, 3]

Therefore, Option (1) is the correct option,

Option (1). 1 ≤ x ≤ 3

The measure of an angle is 6° less than the measure of its complement. Write and solve an algebraic equation to find the measure of each angle. I need help!

Answers

Answer:

2x + 6 = 90

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees, so the sum of the angles is 90 degrees. We could let x be the measure of the angle. The other angle is x + 6, so the answer is x + x + 6 = 90, or 2x + 6 = 90

From the given measure whose angle is less than the measure of its complement.

The measure of the two angles is 47° and 43° respectively.

Complementary angles are angles whose sum is equal to 90°. It is usually composed of two angles complementing themselves.  

Mathematically;

Let the first angle be a and the second angle be b

a + b = 90°   (complemntary angles)

If one of the angles is 6° less than  its complement;

i.e.

Let a = 6

SO, the algebraic equation for the value of a is:

a = b - 6

 Replacing the value of a to solve the equation, we have:

(b - 6) + b = 90

2b - 6 = 90

2b = 90 - 6

2b = 86

b = 86/2

b = 43°

From a + b = 90°

a = 90° - 43°

a = 47°

Therefore, we can conclude that the measure of each angle is 47° and 43°.

Learn more about complementary angles here:

brainly.com/question/15592900?referrer=searchResults

How many solutions does the equation: 4x-8=2(2x-4) have?

Answers

Your answer is Infinite solutions

I need the answer asap

Answers

Answer:

y=1/5x+7/5

Step-by-step explanation:

-2x2 - x + 7 +x2 +4x-5

Answers

Answer:

Need more?

Step-by-step explanation:

-x^2 + 3x + 2

Is this the answer?

Charles buys 4 basketballs at a total cost of $36. What is the price per basketball? ​

Answers

Divide total cost by quantity.

$36 / 4 = $9 per basketball

What is the solution to 5(m - 2) – 10 = 6+2(1 - m)?
Enter your answer in the box.
m =

Answers

Answer:

m = 4

Step-by-step explanation:

Answer:

m=4

Step-by-step explanation:

5(m-2)-10=6+2(1-m)

5m-5*2-10=6+2*1-2*m

5m-10-10=6+2-2m

5m-20=8-2m

5m+2m=8+20

7m=28

m=28/7

m=4

2nq = 3 + 7nq I'm doing math rn and I have trouble solving this

Answers

Answer:

nq = -3/5

Step-by-step explanation:

2nq = 3 + 7nq

5nq = -3

nq = -3/5

Which of the following lists is in order from smallest to largest?

0.05, 0.2, 0.48, 0.6
0.2, 0.05, 0.48, 0.6
0.05, 0.2, 0.6, 0.48
0.2, 0.48, 0.05, 0.6

Answers

Answer:

The first one:

0.05, 0.2, 0.48, 0.6

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