1/2
Divide each number by 30
Answer:
C
Step-by-step explanation:
Calculate AC using Pythagoras' identity in ΔABC
AC² = 20² - 12² = 400 - 144 = 256, hence
AC = 
= 16
Now find AD² from ΔACD and ΔABD
ΔACD → AD² = 16² - (20 - x)² = 256 - 400 + 40x - x²
ΔABD → AD² = 12² - x² = 144 - x²
Equate both equations for AD², hence
256 - 400 + 40x - x² = 144 - x²
-144 + 40x - x² = 144 - x² ( add x² to both sides )
- 144 + 40x = 144 ( add 144 to both sides )
40x = 288 ( divide both sides by 40 )
x = 7.2 → C
Answer:
x = -0.5
Step-by-step explanation:
From your last step:
6.8x + 9.3 = -2.6 - 17x
We have two terms with x in them on different sides of the equation, so we want to bring the 'x terms' over to the same side.
Add 17x to both sides of the equation.
6.8x + 17x + 9.3 = -2.6
Collect like terms
23.8x + 9.3 = -2.6
Subtract 9.3 from both sides
23.8x = -2.6 - 9.3
23.8x = -11.9
Divide both sides by 23.8
x = -0.5
Answer:
yes
Step-by-step explanation:
y=-16r^2+63r+4
maximum value of y :
y'=0
-32r +63=0
r= 63/32
y = -16(63/32)²+63(63/32)+4
= -4 + 124 + 4 = 124 ft
124 > 68
the Arrow can pass over the tree
Answer:
D. 3x² + 19x - 14
Step-by-step explanation:
Use FOIL to find the answer.
First: x * 3x = 3x²
Outer: -2 * x = -2x
Inner: 3x * 7 = 21x
Last: 7 * -2 = -14
Form the equation:
3x² - 2x + 21x - 14
Combine like terms.
3x² + 19x - 14
