Answer:
x=0.369231
Step-by-step explanation:
0.9(5x+4)=5.7(2.5x)
Step 1: Simplify both sides of the equation.
0.9(5x+4)=5.7(2.5x)
(0.9)(5x)+(0.9)(4)=5.7(2.5x)(Distribute)
4.5x+3.6=14.25x
Step 2: Subtract 14.25x from both sides.
4.5x+3.6−14.25x=14.25x−14.25x
−9.75x+3.6=0
Step 3: Subtract 3.6 from both sides.
−9.75x+3.6−3.6=0−3.6
−9.75x=−3.6
Step 4: Divide both sides by -9.75.
−9.75x/ −9.75 = −3.6/ −9.75
x=0.369231
0.60b<span> + 0.30</span>w<span> = 150; 60 + 0.30</span>w<span> = 150</span>
Answer:
b
Step-by-step explanation:
SOLUTION:
Step 1:
In this question, we are given the following:
What is the midpoint of a line segment with the endpoints (-4,-3) and (7,-5)?
A. (-3.5, 1)
B. (1.5,-4)
C. (-4,1.5)
D. (1.-3.5)
Step 2:
The midpoint of a line segment with the endpoints (-4,-3) and (7,-5) is:

Answer:
x = 90°
Step-by-step explanation:
Using the identity
cos²x = 1 - sin²x
Given
cos²x - sin x + 1 = 0
1 - sin²x - sin x + 1 = 0
- sin²x - sin x + 2 = 0 ← quadratic equation in sin x ( multiply through by - 1 )
sin²x + sin x - 2 = 0 ← in standard form
(sinx + 2)(sinx - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
sinx + 2 = 0 ⇒ sinx = - 2 ← has no solution as - 1 ≤ x ≤ 1
sinx - 1 = 0 ⇒ sinx = 1 ⇒ x = 90°
solution is x = 90°