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dsp73
3 years ago
7

Graph the lines by finding the points of intersection with the axes (intercepts):

Mathematics
1 answer:
saul85 [17]3 years ago
3 0

The equation is in slope-intercept form, so you can read the equation to find the y-intercept is (0, -1).

Since the slope is -1/2, the graph goes <em>up</em> 1 unit for each 2 units to the <em>left</em>. The x-axis is up 1 unit from the y-intercept, so the x-intercept is 2 units to the left of x=0, at (-2, 0).

The graph is the line that goes through the points (0, -1) and (-2, 0).

_____

If you like, you can put the equation into intercept form, which shows you both the x- and y-intercepts at once. That form is ...

... x/a + y/b = 1

where <em>a</em> and <em>b</em> are the x- and y-intercepts.

If we add 1-y to the given equation, we have ...

... 1 = (-1/2)x - y

... 1 = x/(-2) + y/(-1) . . . . intercept form

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Find the area of the shaded region Gh= 13yd
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Answer:

area ≈ 344. 93 yard²

Step-by-step explanation:

The question you are asking is a circle with shaded portion and a portion not shaded  . The radius of the circle is given as 13 yards . H is the center of the circle and unshaded part of the the sector has an angle of 126°.

The area of a sector = ∅/360 × πr²

The other angle of the shaded  portion is unknown . To find the angle we subtract 126° from 360°(complete angle).

360 - 126 = 234°

area of a sector = ∅/360 × πr²

where

∅ = 234°

r = 13 yards

area =  234/360 × π × 13²

area = 234/360 × π × 169

area = 39546π/360

area = 109.85π

area = 109.85 × 3.14

area  of the shaded part = 344.929  yard²

nearest hundred will be

area ≈ 344. 93 yard²

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Step-by-step explanation:

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