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3 years ago

Find the area of the figure. Round to the nearest tenth if necessary.

Mathematics

1 answer:

liberstina [14]3 years ago

7 0

Answer:

a. 26 units²

Step-by-step explanation:

The x-axis conveniently divides the figure into a triangle (above the x-axis) and a trapezoid (below the x-axis).

The top triangle has a base of 4 and a height of 3, so its area is ...

triangle area = (1/2)(4 units)(3 units) = 6 units²

The bottom trapezoid has a top base of 4, a bottom base of 6, and a height of 4 units. Its area is ...

trapezoid area = (1/2)(b1 +b2)h = (1/2)(4 units + 6 units)(4 units) = 20 units²

The total area of the figure is ...

area = triangle area + trapezoid area = 6 units² + 20 units² = 26 units²

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3 years ago

What is the equation of a parallel line to y = -5x + 2 that passes through the point (-1, 4)?

Luden [163]

Answer:

The equation of the Parallel line passes through the point (-1,4) is

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Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given the equation of the line y = -5 x + 2

Given point (-1 , 4 )

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<em>The equation of the Parallel line passes through the point (-1,4) is </em>

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3 years ago

F(x)=x^2-1 <br> G(x)=x-1 <br> find (f+g)(10).

WARRIOR [948]

<h2>Adding Functions</h2><h3>Answer:</h3>

$(f +g)(10) = 108$

<h3>Step-by-step explanation:</h3>

Before we can solve for $(f +g)(10)$ , we need to know how $(f +g)(x)$ is defined.

$(f +g)(x) = f(x) +g(x) \\ (f +g)(x) = (x^2 -1) +(x -1) \\ (f +g)(x) = x^2 -1 +x -1 \\ (f +g)(x) = x^2 +x -2$

We can now solve for $(f +g)(10)$ :

$(f +g)(10) = (10)^2 +(10) -2 \\ (f +g)(10) = 100 +10 -2 \\ (f +g)(10) = 108$

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3 years ago

I only need number 1 i don’t understand.

valentinak56 [21]

Answer:

Step-by-step explanation:

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Vlad1618 [11]

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