Answer:
40
Step-by-step explanation:
Angle Formed by Tangent and Secant
= 1/2 (DIFFERENCE of Intercepted Arcs)
< WVT = 1/2 ( WT - UW)
3x+4 = 1/2 (( 14x +7) - (7x+11))
Distribute
3x+4 = 1/2 ( 14x +7 - 7x-11)
Combine like terms
3x+4 = 1/2 ( 7x -4 )
Multiply each side by 2
6x +8 = 7x-4
Subtract 6x from each side
+8 = x-4
Add 4 to each side
12 =x
WVT = 3x+4
= 3*12 +4
= 36+4
= 40
Answer:
(-0.67412648,-047682599)
Step-by-step explanation:
In this case, we will use our Pythagorean Theorem.
a = 84
b = 13
c = x
Thus,
x = 85.
Answer:
She should used 4.5 ounces of the 4% and 1.5 ounces of the 20%.
Step-by-step explanation:
x = amount of 4% fuel
6 - x = amount of 20% fuel
0.04x + 0.2(6 - x) = 0.08(6) Multiply both sides by 100 to remove the decimals
4x + 20(6 - x) = 8(6)
4x + 120 - 20x = 48
-16x + 120 = 48
-16x = -72
x = 4.5
She should used 4.5 ounces of the 4% and 1.5 ounces of the 20%.
Answer:
(x - 8)² = 14
Step-by-step explanation:
Given
x² - 16x + 26 = - 24 ( subtract 26 from both sides )
x² - 16x = - 50
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 8)x + 64 = - 50 + 64
(x - 8)² = 14
