In the second equation:
Subtract 8x from both sides.
2z = 22 - 8x
Divide 2 on both sides.
z = 11 - 4x
Plug this into the first equation.
-66 - 2(11 - 4x) = -196
-66 - 22 + 8x = -196
Combine like terms.
-88 + 8x = -196
Add 88 to both sides.
8x = -108
Divide 8 on both sides.
x = -13.5
Put this into the second equation.
8(-13.5) + 2z = 22
-108 + 2z = 22
Add 108 to both sides.
2z = 130
Divide 2 on both sides.
z = 65
and
x = -13.5
Hope this helps!
Answer:
y = -1/2x + 13/2
Step-by-step explanation:
The slope of a line that is perpendicular to a line will be a negative reciprocal. When you rewrite 2x-7=8 into slope-intercept form, you get y=2x-8. The negative reciprocal of the slope 2x is -1/2x. There is only one option with this slope. If you're still not sure then you can use a graphing calculator to check this. An online one would be desmos
Answer:
Step-by-step explanation:
TO get a fraction from % we need to divide by 100.
622/1 x 1/100= 622/100
Hope this helps :D
Answer:
28π and 196π
10π and 25π
2500π
A = C/4π
Step-by-step explanation:
The circumference of a circle is the distance around the edge of the circle. To find the circumference, we use the formula C = 2πr. The area of the circle is the amount inside the circle and is found using A = πr². Substitute the relevant values in each situation into the formulas to find the circumference and area.
if the radius of a circle is 14 units, what is its circumference? what is its area?
Substitute r = 14.
C = 2πr = 2π(14) = 28π
A = πr² = π(14)² = 196π
if a circle has diameter 10 units, what is its circumference? what is its area?
Substitute r = 5.
C = 2πr = 2π(5) = 10π
A = πr² = π(5)² = 25π
if a circle has circumference 100π units, what is its area?
Substitute C = 100π to find the radius. Then substitute the radius into the are formula.
C = 2πr
100π=2πr
100 = 2r
50 = r
A = πr² = π(50)² = 2500π
if a circle has circumference c, what is its area in terms of c?
Cole the circumference formula for r. Then substitute the expression into the area formula.
C = 2πr
r = C / 2π
A = πr² = π(C/2π)² = πC/4π² = C/4π
