please help me I'm confused :((

The points E(5, 12), F(-1, 8) and G(2, k) are located
straight line. Find the value of k.

please give me the solving steps ​

Answers

Answer 1

Answer:

k = 10

Step-by-step explanation:

Use the first two points to get a formula of the line E(5, 12), F(-1, 8)

y = mx + b is the slope-intercept formula

m is found using two points as:

m = (y₂ - y₁)/(x₂ - x₁) m = (8 - 12)/(-1 -5) = -4/-6 = 2/3

The formula becomes:

y = 2/3x + b

Then we find the value of b using one of the points. Let's use point E(5, 12)

12 = 2/3*5 + b12 = 10/3 + bb = 12 - 10/3 = 26/3

So the formula now is:

y = 2/3x + 26/3

To find the missing coordinate we substitute x with 2 and y with k:

k = 2/3*2 + 26/3 = 4/3 + 26/3 = 30/3= 10k = 10
Answer 2

Answer:

k = 10

Hope it helped:D


Related Questions

I need help pleaseee I don’t understand how to do this

Answers

Answer:

-1x/-5y=-1.5

Step-by-step explanation:

when you enter the values into the graph, you get the slope. then divide the total by 5 and you get the correct answer.

find the dimension of the missing side of a triangle given the following measurements: A=75 sq. ft, b=15 ft, h=?

Answers

Answer:

h = 10 ft

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh

Here A = 75 and b = 15, thus

[tex]\frac{1}{2}[/tex] × 15h = 75 ( multiply both sides by 2 to clear the fraction )

15h = 150 ( divide both sides by 15 )

h = 10

What is the distance between the building B (4, 6) and the station K (–6, –2)? Use a calculator to round to the nearest tenth.

Answers

Answer:

The answer is

12.8 units

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

B (4, 6) and K (–6, –2)

The distance is

[tex] |BK| = \sqrt{ ({4 + 6})^{2} + ({6 + 2})^{2} } \\ = \sqrt{ {10}^{2} + {8}^{2} } \: \: \: \: \: \: \: \: \: \\ = \sqrt{100 + 64} \: \: \: \: \: \: \: \: \: \\ = \sqrt{164} \\ = 2 \sqrt{41} \\ = 12.80[/tex]

We have the final answer as

12.8 to the nearest tenth

Hope this helps you

Nigel has 3/4 of a chocolate candy bar that he wants to share equally among his friends Cameron, Devin, and Tyrek. How much will
Cameron receive of the candy bar?
Your answer:

Answers

Answer:

3/4 divided 4=16 or 0.1875

Step-by-step explanation:

3/4 divided by 4 is easy all you would do is multiply the bottom number by what you are trying to divide which is 4 so you do 4x4 which is 16

Find the domain and range of each relation (use interval notation). Then determine if each relation is one-to-one.

Answers

Answer:

Domain: -2, 1

Range: -2, -4, 1

Step-by-step explanation:

A Domain is the first coordinate which is x

The Range is the second coordinate which is y

Hope This Helps :)

THESE ARE DUE TODAY PLEASE HELP!

Answers

Answer:

24. a. perimeter=6x-6 or 6(x-1) b. area=2x²+x-28

25. -5x² and 2x are not like terms so you cannot combine them.

Step-by-step explanation:

24. a. perimeter:

add up each side:

(2x-7)+(2x-7)+(x+4)+(x+4)= 6x-6 or 6(x-1)

b. area:

F.O.I.L.:

(2x-7)(x+4)=2x²+8x-7x-28

2x²+x-28

The triangle on the right is scaled copy of the triangle on the left identified the scale factor

Answers

Answer:

is there supposed to be a picture with it? i can't solve it without more information. sorry

12 POINTS TO THE BRAINLIEST ANSWER!!!! PLEASE HELP!! Tess and Dan have $24.00 each to spend at a book fair, where all students receive a 15% discount. They both want to purchase a copy of the same book, which normally sells for $24.50 plus 10% sales tax. To check if she has enough to purchase the book, Tess takes 15% of $24.50 and subtracts that amount from the normal price. She takes 10% of the discounted selling price and adds it back to find the purchase amount. Dan takes 85% of the normal purchase price and then computes 110% of the reduced price. Is Tess correct? Is Dan correct? Do they have enough money to purchase the book? Explain your answer using complete sentences. PLEASE ANSWER ALL QUESTIONS

Answers

Answer:

yes Dan and Tess have enough money because the price is 22.9075 after discount

Step-by-step explanation:

the  original price of the book=24.50

the price of the book with taxes : 24.5+(24.5*10 %)=26.95 Dollars

the price for the students is :  24.50-(24.5*15%)=20.825

the price to students +tax= 20.825+(20.825*10%)= 22.9075

See what Tess did:

she took 15 % from original price :24.50-(24.5*15%)=20.825

she took 10 % of discounted price :20.825.50*10%= 1.04125

adds it back to find the purchase amount:1.04125+20.825=21.86625

what Dan did:

Dan takes 85% of the normal purchase price: 24.50*85%= 20.825

then compute 110% to the discounted price: 20.825*110%=22.9075

Dan is right, he will pay 22.9075 which is actually the price that the student pay for the book after the discount. what Tess is that she calculated the tax before discount, she has to calculate the tax after discount.

Which point lies to the right of y-axis?

(a) (0, 3) (b) (-2,-1) (c) (3, 5) (d) (-3,-2)​

Answers

Answer: C

Step-by-step explanation:

Given Q is between J and K, JQ is five times the length of JK and JK=42 find the length of JQ

Answers

Answer:

210

Step-by-step explanation:

JQ is 5 times the length of JK

● JQ = 5JK

JK = 42

● JQ = 5 × 42

● JQ = 210

The distance an object travels is determined by how fast it goes and for how long it moves. If an object’s speed remains constant, the formula is d=r*t , where d is the distance, r is the speed, and t is the time. If you drive at 50 miles per hour for 5 hours, how far will you have traveled? a. 200 miles b. 10 miles c. 250 miles d. 300 miles Please select the best answer from the choices provided A B C D

Answers

Answer:

d = r * t

r = 50 mph

this will be very easy.

d = r * t

r = 50 mph

t = 5 hours

d = 250 miles

In five hours at a constant speed of 50 miles per hour, you would have traveled 250 miles.t = 5 hours

d = 250 miles

In five hours at a constant speed of 50 miles per hour, you would have traveled 250 miles.

Answer:

250

Step-by-step explanation:

What is the value of (3^6)^3

Answers

Answer:

3^18

Step-by-step explanation:

[tex](3^6)^3\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0\\\left(3^6\right)^3=3^{6\times\:3}\\\\=3^{6\times\:3}\\\\=3^{18}\\\\=387420489[/tex]

3 to the power of 6 is 729 and that to the power of three is 387420489

1. 3x²y2 + 3x y2 + 5xy
Degree:
(Fill in the blank with monomial, binomial, or trinomial)

Answers

Answer:

Answer is trinomial

Step-by-step explanation:

degree:3x^2 y2 +3xy2 + 5xy

=the degree of first term = 4

= the degree of second term=3

= the degree of third term = 3

:. the degree = 4

the answer is 4

A
B
What is the domain and range?

Answers

Answer:

the domain is 5 and the range is 10

Step-by-step explanation:

4. Consider the following graph.

Part A: Plot two points to form a square in the above graph. Label the points R and
S. A square is a quadrilateral with all four sides of the same length. After
plotting the points, trace the square by connecting the points.
Part B: To find the perimeter of a polygon, take the sum of the length of each side.
What is the perimeter of the square that you created in Part A Round your
answer to two decimal places.

Answers

29.12 is the perimeter.

Helo please I need help

Answers

Answer:

9:16

Step-by-step explanation:

In a similar rectangle , the ratio of lengths should be equal to ratio of widths.

Ratio of lengths =

[tex] \frac{length \: of \: rectangle \: 1}{length \: of \: rectangle \: 2} = \frac{3}{4} [/tex]

Hence , Ratio of widths =

[tex] \frac{width \: of \: rectangle \: 1}{width \: of \: rectangle \: 2} = \frac{3}{4} [/tex]

Area of rectangle 1 = Length 1 × Width 1 = 3×3 = 9

Area of rectangle 2= Length 2 × Width 2= 4×4= 16

Ratio of areas of both rectangles =

[tex] \frac{area \: of \: rectangle \: 1}{area \: of \: rectangle \: 2 \: } = \: \frac{9}{16} [/tex]

hii anyone mind helping me with this question :D

Answers

0.0045, Bc that negative exponent makes the decimal point move to the left!

Answer:

0.0045

Step-by-step explanation:

:)

A scale drawing of a living room is shown below 5.5 inches and 3 inches scale 1:30 what is the area of the actual living room? Round your answer to the nearest whole number

Answers

Answer:

14850 inches

Step-by-step explanation:

The complete question is...

A scale drawing of a living room is shown below:

A rectangle is shown. The length of the rectangle is labeled 5.5 inches. The width of the rectangle is labeled 3 inches. The scale is 1 to 30.

What is the area of the actual living room in square feet? Round your answer to the nearest whole number.

The ratio of the scale = 1:30

This means that the dimensions of the drawing has been reduced to 1/30 of the actual building's dimensions.

We first scale up the drawing to 30 times to get the dimensions of the actual building.

The length on the drawing = 5.5 inches

The real length of the actual building = 5.5 x 30 = 165 inches

The width of the drawing = 3 inches

The width of the actual building = 3 x 30 = 90 inches

The area of the actual building = length x width

==> 165 x 90 = 14850 inches

Write an expression equivalent to 6x+3y-4x+2

Answers

Answer:

10x+3y+2

Step-by-step explanation:

Solve for b.
y = mx + b

Answers

Answer:

b = y - mx

Step-by-step explanation:

So we are trying to solve for b in the equation y = mx + b. To do this, we will have to somehow get the b by itself on one side and all of the non-b parts of the equation on the other side.

y = mx + b

Subtract mx from both sides.

y - mx = b

b = y - mx

So we have not solved for b. We have found that b = y - mx.

I hope you find my answer and explanation helpful. Happy studying. :)

24 A rectangle is cut along its diagonal. The measure of ZA is 55°.
What is the measure of ZB?
B
A
F
F
125°
G 105°
H 45°
35°

Answers

Answer: 35

Step-by-step explanation: add the angles which is 90 and 55. then subtract it from 180. sorry for my bad english, it’s not my first language.

What is the value of the expression below when x
6 and y = 10?
10x - 5y

Answers

Answer: 10

Step-by-step explanation: Because 10times X when X=6 is 60 then 5 times Y when Y=10 makes it 50 then subtract the two numbers

60-50=10

-1/2(3x-4)+3x=5/6
Please help

Answers

Answer:

  x = -7/9

Step-by-step explanation:

The usual recommendation is to clear fractions first. Here, you can do that by multiplying both sides of the equation by 6.

  6(-1/2(3x -4) +3x) = 6(5/6)

  -9x +12 +18x = 5 . . . . . . . . . simplify

  9x = -7 . . . . . . . . . . . . . . . . . subtract 12

  x = -7/9 . . . . . .divide by 9

__

Another way to do this is to eliminate parentheses first.

  -3/2x +2 +3x = 5/6

  3/2x = -7/6 . . . . . . . . . collect terms, subtract 2

  x = (-7/6)(2/3) = -7/9 . . . . multiply by 2/3

Malcom has $638.54 in his checking account he must maintain a $500 balance to avoid a fee he wrote a check for $159.50 today write and solve an inequality to solve for the least amount of money he needs to avoid a fee

Answers

Answer:

$20.96

Step-by-step explanation:

He has $638.54 in his account and writes a check for $159.50. The amount of money he needs to stay at or above $500 is denoted by x.

638.54 - 159.50 + x >= 500

After writing a check, Malcom has $479.04 left in his account, which is below his cutoff.

479.04 + x >= 500

He must add at least x amount of dollars to his account to avoid a fee.

x >= 20.96

In order to avoid a fee, Malcom must add a minimum of $20.96 to his account.

what is the value of the expression....!?​

Answers

Answer:

your answer is correct

Which point could represent 5 3 ?

Answers

Answer:

the answer is c

Step-by-step explanation:

i just finished the lesson

Answer:

c

Step-by-step explanation:

Evaluate the expression when y=-3.
y2 + 6y +8

Answers

-6-18+8=-16
Answer -16

The value of algebraic expression [tex]y^2+6y+8[/tex] at y = -3 is -1.

An algebraic expression is an expression built up from constant, variables, and algebraic operations : addition, subtraction, multiplication, division and exponentiation.

In the given question,

algebraic expression =  [tex]y^2+6y+8[/tex]

the value of the algebraic expression at y = -3

[tex]= y^2+6y+8\\\\=(-3)^2 + 6(-3) + 8\\\\= 9 - 18 + 8\\\\=-1[/tex]

Learn more about algebraic expression here

https://brainly.com/question/28884894

#SPJ2

7. Find the value of:
a) The number when 40% of the number is 10

Answers

Step 1) Set up a proportion

Proportion: percent / 100 = x / number

In context of the problem, the proportion is: 40 / 100 = 10 / number

Step 2) Cross-multiply and solve

100 x 10 = 40 x N

1000 = 40N

N = 25

Answer: The number is 25

Answer:

25

Step-by-step explanation:

Let the unknown number be x

[tex]40 \% \times x = 10 \\ \frac{40x}{100} = \frac{10}{1} [/tex]

Cross Multiply

[tex]40x = 100 \times 10 \\ 40x = 1000[/tex]

Divide both sides of the equation by 40

[tex] \frac{40x}{40} = \frac{1000}{40} [/tex]

Simplify

[tex]x = 25[/tex]

Find the GCF of 38, 76, and 114.

Answers

Answer:

GCF = 38

Step-by-step explanation:

38 = 2×19

76 = 4×19 = 2²×19

114 = 2×3×19

GCF = 2×19 = 38

Stickers come in packs of 5. Max buys 12 packs. He gave his three friends some stickers. They each receive the same number. He has 27 stickers left. How many stickers did max give each of his friends?

Answers

Answer: 11 stickers each

Step-by-step explanation:

given data:

packs of stickers bought by mark = 12 ( 5 ) = 60 stickers

no of stickers left with mark = 27

= Total no of stickers – stickers remaining with mark

= 60 – 27

= 33 stickers

he gave his 3 friends equal number of stickers.

3x = 33

x = 11

number of stickers received by each friend is 11

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