Answer: x = -2
Step-by-step explanation: To solve for <em>x</em>, in the equation you see here, our goal is to get <em>x</em> by itself.
Our first step will be to isolate the term containing <em>x</em> which in this case is 4x. To isolate 4x, we have to get rid of the +3 by subtracting 3 from both sides of the equation. On the left, +3 and -3 cancel out and we're left with 4x. On the right, -5 - 3 simplifies to -8.
Now we have the equation 4x = -8.
To get <em>x</em> by itself, we divide both sides of the equation by 4. On the left, the 4's cancel and on the right, -8 divided by 3 is -2 so <em>x = -2</em>
Answer:
The missing exponent is 5^7
Step-by-step explanation:
5^11/5^?=5^4
1. Subtract the exponents from each other.
11-4=7
2. Plug 7 in as the exponent.
5^11/5^7
3. 11-7=4 therefore, 5^11/5^7 equals 5^4.
Answer:
The first step is Add 6 to both sides
Step-by-step explanation:
we have
Solve for x
That means ----> isolate the variable x
step 1
Adds 6 both sides
step 2
Multiply by 5/2 both sides
therefore
The first step is Add 6 to both sides
Answer:
116 cm²
Step-by-step explanation:
Shaded Area = area of the larger circle - area of the smaller circle
Area of the larger circle = πr²
Where,
r = 6.5 cm
Area = π*6.5² = 42.25π cm²
Area of smaller circle = πr²
Where,
r = 2.3 cm
Area = π*2.3² = 5.29π cm²
✔️Shaded area = 42.25π - 5.29π = 36.96π = 116.113264
Area = 116 cm² (3 S.F)
Answer:
cos θ = 1/2
Step-by-step explanation:
4 cos θ + 4 sin² θ = 5
Use Pythagorean identity.
4 cos θ + 4 (1 − cos² θ) = 5
4 cos θ + 4 − 4 cos² θ = 5
0 = 4 cos² θ − 4 cos θ + 1
0 = (2 cos θ − 1)²
0 = 2 cos θ − 1
cos θ = 1/2
