Answer:
The equation of the line would be y = -15/24x + 6
Step-by-step explanation:
In order to find the equation of the line, you need to start by using the slope formula with the points given. This will give you the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (11 - 7/2)/(-8 - 4)
m = (15/2)/-12
m = 15/-24
m = -15/24
Now that we have the slope, we can use that and either point to find the equation in point-slope form.
y - y1 = m(x - x1)
y - 11 = -15/24(x + 8)
y - 11 = -15/24x - 5
y = -15/24x + 6
Answer:
The height is 5ft
Step-by-step explanation:
We know the area is 30ft^2 and the base is 12 ft.
Plug that information in the formula for the area of a triangle,
Formula for area of a triangle:
A = (1/2)bh (area is one half of the product of the base and height)
The question gives us A = 30, and b = 12. We can plug them in and find h
30 = (1/2)(12)h
Now solve for h
30 = 6h (1/2)(12) means '12 times one half' or 'half of 12' which is 6
5 = h (30 divided by 6 is equal to 5)
Answer:
B' (2, 5 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 270°
a point (x, y ) → (y, - x ) , then
B(- 5, 2 ) → B' (2, 5 )
The two base angles of an isoceles triangle are equal so we can conclude that
2x - 20 = x + 8
Now we just need to solve for x:
2x - 20 + 20 = x + 8 + 20
2x = x + 28
2x - x = x + 28 - x
x = 28
So, angle B = x + 8 which is 28 + 8 = 36°
