Answer:
D
Step-by-step explanation:
Given
x² - 10x = - 36
Solve using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 5)x + 25 = - 36 + 25
(x - 5)² = - 11 ( take the square root of both sides )
x - 5 = ± 
( add 5 to both sides )
x = 5 ± i
Thus
x = 5 - i
or x = 5 + i
Option C: 90° is the value of x.
Explanation:
The given expression is 
for 
We need to solve the expression.
Thus, we have,
Subtracting both sides by 4, we have,
Adding both sides by 8 sin x, we get,
Dividing both sides by 10, we have,
Taking 
on both sides of the equation, we get,
Thus, the value of x is 90°
Hence, Option C is the correct answer.
Answer: 25 units squared
Step-by-step explanation:
Draw a line down from p and go right connecting to r. The units there are equal to the ones on the triangle you were given. 5 horizontally and 10 vertically. 5 times 10 is 50 divided by 2
Answer:
Step-by-step explanation:
The distance from Q to S is 2 - (-14), or 16.
We start at point Q. Note how 3 and 5 add up to 8, which allows us to write:
R = Q + (3/8)(16), or R = -14 + 6, or R = -8.
From R to S it is (5/8)(16), or 10 units.
The directed line segment is partitioned into segments of lengths 6 and 10, whose combined length is 16, as expected.
4+|k+1|<15
-4 -4 15-4=11
|k+1|<11 |k+1|=k+1
k+1<11
-1 -1
k<10
