Show work! < 3
find the area of this figure. dimensions are in meters.

  2√46 + 25π/4 ≈ 33.2 . . . . m²

Step-by-step explanation:

The altitude of the triangle is given by the Pythagorean theorem. The right triangle of interest is the one that has 5√2 as its hypotenuse, and a leg of half the base shown. Then the other leg, the altitude of the triangle, is ...

  h = √((5√2)² - 2²) = √46

Then the area of the triangle shown is ...

  A = (1/2)bh = (1/2)(4)(√46)

  A = 2√46

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The area of the semicircle is given by the formula ...

  A = (1/2)πr²

Filling in the radius shown, the area is computed as ...

  A = (1/2)π(5√2/2)² = 25π/4

So, the total area of the figure is ...

  total area = triangle area + semicircle area

  = 2√46 + 25π/4 . . . square meters

  ≈ 33.2 . . . square meters

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is