I need help with this problem in the image. Please.

Mathematics

1 answer:

Alja [10]3 years ago

3 0

Answer:

Step-by-step explanation:

6x+7+35=180 because those angles are next to each other and therefore add up to 180

7+35=42

6x+42=180

We now have to solve for x and to do that we get it by itself by subtracting 42 from each side

180-42=138

x is now by itself and we can solve for it

6x=138

138/6=23

x=23

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What is the slope of the line that passes through the points (-7,-4) and (-11,-2)? In simplest form

Serjik [45]

Answer:

Slope=-1/2

Step-by-step explanation:

Slope =(y2-y1) /(x2-x1)

A(-7,-4).... x1 =-7,y1 =-4

B(-11,-2)... x2=-11,y1=-2

Slope=(-2-(-4))/(-11-(-7))

Slope=(-2+4)/(-11+7)

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3 years ago

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Answer:

$\mathrm{Minimum}\space\left(\frac{7}{2},\:-\frac{33}{4}\right)$

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3 years ago

Which statement best describes the effect of replacing the function f(x) = 2x + 2 with the function g(x) = 2x - 3?

FrozenT [24]

The correct answer is: The graph shifts 5 units right

Explanation:
Below is the graph attached of both the equations:

Red line: Represents f(x) = 2x + 2.
Blue line: Represents g(x) = 2x - 3.

As you can see in the graph that g(x) is shifted 5 units right to f(x).

If you move towards right by 1 unit, you have to subtract 1 from f(x) until you reach g(x) like:
2x + 2 - 1 = 2x + 1 (1 unit)
2x + 1 - 1 = 2x (1 unit)
2x - 1 = 2x - 1 (1 unit)
2x - 1 -1 = 2x - 2 (1 unit)
2x -2 - 1 = 2x -3 (1 unit)

Total 5 units.

Hence the correct answer is the graph shifts 5 units right.