Answer:
x =-5± 2i sqrt(14)
Step-by-step explanation:
x^2 + 10x= -81
Take the coefficient of x and divide by 2
10/2 = 5
Square it
5^2 =25
add to each side
x^2 + 10x+25 = -81+25
( x+5) ^2 = -56
Take the square root of each side
sqrt(( x+5) ^2) =± sqrt(-56)
x+5 = ± sqrt(-1) sqrt(4*14)
x+5 =± i sqrt(4)sqrt(14)
x+5 =± i 2 sqrt(14)
Subtract 5 from each side
x+5-5 =-5± i 2 sqrt(14)
x =-5± 2i sqrt(14)
Answer:
67
Step-by-step explanation:
range is the biggest number minus the smallest number
72-5
Answer:
measure of angle K is 48° or m∠K = 48°
Step-by-step explanation:
Given:
ΔJKL= ΔPQR
m∠P = 52°
m∠Q = 48°
m∠R = 80°
When 2 triangles are equal or congruent to each other then their corresponding angles are equal or congruent by congruence property.
Hence ,
m∠P = m∠J
m∠Q = m∠K
m∠R = m∠L
But m∠Q = 48° hence m∠K = 48°
Hence measure of angle K is 48°
Answer:
x = 11
Step-by-step explanation:
Take the fifth root on both sides.
27(x-2) = 3^5
27x-54 = 3^5
27x = 243 + 54
27x = 297
x = 297/27
x = 11
Answer:
-35
Step-by-step explanation:
X's cancel out each other
-10+-25