Answer: Choice C
x intercept is (4,0)
y intercept is (0,2)
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Work Shown:
To find the x intercept, we plug in y = 0 and solve for x
2x+4y = 8
2x+4(0) = 8
2x+0 = 8
2x = 8
x = 8/2
x = 4
We have x = 4 pair up with y = 0. So we have (x,y) = (4,0) as the x intercept.
This is the location where the graph crosses the x axis.
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The y intercept is a similar story, but we use x = 0 to find y.
2x+4y = 8
2(0)+4y = 8
0+4y = 8
4y = 8
y = 8/4
y = 2
The value x = 0 leads to y = 2. This gets us (x,y) = (0,2) as the y intercept.
This is the location where the graph crosses the y axis.
Area = (base)*(height)
15 = (x+7)(x-7)
(x+7)(x-7) = 15
x^2 - 49 = 15
x^2 - 49+49 = 15+49
x^2 = 64
sqrt(x^2) = sqrt(64)
x = 8 ... note that x can't be negative
If x = 8, then the base is...
x+7 = 8+7 = 15
Therefore the base is 15 units.
(the height is x-7 = 8-7 = 1 unit)
Sub -58 and 24 in the equation
F(-58) = 3(-58) - 1
F (-58) = -175
F(24) = 3 (24) - 1
F (24) = 71
Answer:
2.Ellipse
Step-by-step explanation:
The given equation represents an ellipse.
Standard form of ellipse is given as: