Answer:
x = 28/3
Step-by-step explanation:
We can solve this problem by using similar triangles:
Both of these triangles have a 90 degree angle and they share angle A, meaning that they are similar by AA similarity.
Now we can set up ratios and solve:
13/7 = (x+8)/x
multiply both sides by x:
13x/7 = x+8
Multiply both sides by 7:
13x = 7x + 56
move the 7x over and divide by 6:
6x = 56
x = 28/3
The area is a function of the apex angle β according to
Area = (1/2)(2 cm)²×sin(β)
This will be a maximum for β = 90°. The corresponding length of the third side is
2√2 cm
≈ 2.2828 cm
Line A is parallel to line B if line A and B have the same slope and have the same or different y-intercept.
Convert the standard form equation to slope-intercept form as it will be easier to see the slope.
Solve for y.
4x + 2y = 0
2y = -4x <-- Subtract 4x from each side
y = -2x <-- Divide both sides by 2
In the slope-intercept form y = -2x, a y-intercept of 0 is implied
Now find a slope-intercept form equation that has the same slope as y = -2x
So, the answer is C y = -2x + 3.
A) No, because 62 + 9 = 122
