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3 years ago

Which is an equation of the line containing the points (2,5) and (4,4) in standard form?

1 answer:

6 0

First, find the slope of the line thru these 2 pts:

5-4
m = --------- = -1/2
2 -4

Use the slope-intercept formula y = mx + b:

5 = (-1/2)(2) + b. Then the y-intercept is 5 + 1, or 6: y = (-1/2)x + 6

Multiplying this entire result (3 terms) by 2 results in 2y = -x + 12, or

x + 2y = 12 (answer)

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G(b) = 5b- 9 h(b) = (b - 1)^2 Evaluate. (hog)(-6) =

laiz [17]

Given:

The two functions are:

$g(b)=5b-9$

$h(b)=(b-1)^2$

To find:

The value of $(h\circ g)(-6)$ .

Solution:

We have,

$g(b)=5b-9$

$h(b)=(b-1)^2$

We know that,

$(h\circ g)(b)=h(g(b))$

$(h\circ g)(b)=h(5b-9)$

$(h\circ g)(b)=[(5b-9)-1]^2$

$(h\circ g)(b)=[5b-10]^2$

Putting $b=-6$ , we get

$(h\circ g)(-6)=[5(-6)-10]^2$

$(h\circ g)(-6)=[-39-10]^2$

$(h\circ g)(-6)=[-49]^2$

$(h\circ g)(-6)=2401$

Therefore, the value of $(h\circ g)(-6)$ is 2401.

7 0

3 years ago

What is 3x + 4 = x + 8

xxMikexx [17]

Answer:

x is equal to 2

Step-by-step explanation:

2x+4=8

2x=4

x=2

4 0

3 years ago

Read 2 more answers

find the domain of y equals 4 multiplied by the square root of the quantity 4 multiplied by x plus 2 end of quantity. a. x is gr

Bingel [31]

$y=4\sqrt{4(x+2)}\\\\D:4(x+2)\geq 0\ \ \ |divide\ both\ sides\ by\ 4\\\\x+2\geq0\ \ \ |subtract\ 2\ from\ both\ sides\\\\\boxed{x\geq-2}\to\boxed{c.}$

7 0

3 years ago

What is an equation of the line that passes through the point (3, -8) and has slope -2?

BabaBlast [244]

Answer:

Step-by-step explanation:

slope of -2 means the slope is -2/1

from (3, - 8) you can find the y intercept by going backwords until x = 0

(2,-6)

(1,-4)

(0,-2)

so the y intercept is -2

y = -2x - 2

6 0

2 years ago

Please help im begging...

ahrayia [7]

The surface area of the triangular prism is calculated as: 153 cm²

<h3>How to Find the Surface Area of a Triangular Prism?</h3>

The net of a triangular consists of 2 identical triangular faces, and three different rectangular faces. Given the net of a triangular prism, to find the surface area, find the area of each given shape that makes up the net of the triangular prism.

Surface area of the triangular prism = 2(area of triangular base) + area of the 3 different rectangular faces.

Area of triangle = 1/2(b)(h)

Base (b) = 6 cm

Height (h) = 3 cm

Area of the 2 triangular faces = 2[1/2(6)(3)]

Area of the 2 triangular faces = 18 cm²

Area of the larger rectangular face:

Area = (length)(width) = (9)(6)

Area of larger rectangular face = 54 cm²

Area of the medium-sized rectangular face:

Area = (length)(width) = (9)(5)

Area of medium-sized rectangular face = 45 cm²

Area of the smaller rectangular face:

Area = (length)(width) = (9)(4)

Area of smaller rectangular face = 36 cm²

Surface area of the triangular prism = 18 + 54 + 45 + 36

Surface area of the triangular prism = 153 cm²

Learn more about the surface area of triangular prism on:

brainly.com/question/16147227

#SPJ1

7 0

2 years ago