Answer:
x = -7 ±3i
Step-by-step explanation:
(x+7)^2+9=0
Subtract 9 from each side
(x+7)^2+9-9=0-9
(x+7)^2=-9
Take the square root of each side
sqrt((x+7)^2) = ±sqrt(-9)
We know sqrt(ab) = sqrt(a) sqrt(b)
x+7 = ±sqrt(-1) sqrt(9)
We know that sqrt(-1) is the imaginary number i
x+7 = ±i *3
x+7 =±3i
Subtract 7 from each side
x+7-7 = -7 ±3i
x = -7 ±3i
Answer:
The length is 14 units
Step-by-step explanation:
Take the value at point F and subtract the value at point E
F = 19
E = 5
19 -5 =14
The length is 14 units
Combine like terms
8x+24=x+5
subtract x from both sides
8x+24=x+5
-x -x
7x+24=5
subtract 24 from both sides
7x+24=5
-24 -24
7x = -19
divide 7 from both sides
7x = -19
7x/7 = -19/7
x= -19/7
49 = -7 (t + 1)
49 = -7t + 7
-7 -7
42 = -7t
÷ -7 ÷ -7
-6 = t
t = -7