Answer:
y = 2/3x
Step-by-step explanation:
So we know, when lines are perpendicular that they share the same slope. The slope in the equation of y = 2/3x + 7 is 2/3x. So, we have our slope. Now, we just need to find our b. We plug in the point that you gave us into the equation y = mx + b.
3 = 2/3(2) + b
we multiply the denominator 3 by 2, then divide that by the numerator 2.
3 = 3 + b
subtract 3 from itself and from the opposite side of the equal side 3.
0 = b
in the end, there is no b for this equation. Our answer is
y = 2/3x
Answer: 6
Explanation:
3(4-2) = 3(2) = 6
1) 
2)
is a right angle (perpendicular lines form right angles)
3)
is a right triangle (definition of a right triangle)
4)
and
are complementary (the acute angles of a right triangle are complementary)
Answer:
18π ft^2
Step-by-step explanation:
The area of the circle is
pi *r^2
pi * 12^2
144pi
The part that is shaded is 45 degrees
An entire circle is 360 degrees
The fraction that is shaded is 45/360 = 1/8
Multiply the area by the fraction that is shaded
1/8 * 144 pi
18 pi
The area of this shape is 12.
Area of a triangle = 1/2 x bh
b= base
h = height
So,
1/2 (6)(4)=12
Hope this helps!