Answer:
x = i and x = i
Step-by-step explanation:
Given
+ 6x² + 5 = 0
Using the substitution u = x², then
u² + 6u + 5 = 0 ← in standard form
(u + 1)(u + 5) = 0 ← in factored form
Equate each factor to zero and solve for u
u + 1 = 0 ⇒ u = - 1
u + 5 = 0 ⇒ u = - 5
Convert solutions back into terms of x
x² = - 1 ⇒ x = 
= i
x² = - 5 ⇒ x = 
= i
Answer:
25
Step-by-step explanation:
ABC is a right angle so ABD and DBC are <em>complementary angles</em> and their sum is equal to 90:
x + 55 = 90 subtract 55 from both sides
x = 25
Step-by-step explanation:
surface area if pyramid=area of base+combined area of lateral faces.
area of base=8×8=64
combined area if lateral faces=area of one triangle:area=base×height
=8×12=96
Total surface area=64+96
=160m square
Answer:
C
Step-by-step explanation:
By tracing the figure, we see that we go around a semicricle twice and go in a straight path twice. So the perimeter of this figure consists of two semicircles and two line segments, hence the answer is C.
Answer:
arc length =11
Step-by-step explanation:
To find the arc length , we take pi *2 r and multiply by the fraction of the circle
The circumference is 12 which is equal to 2 * pi *r
arc length = 12 * 330/360
arc length = 12 * 11/12
arc length =11
