Answer:
x= - 35 over 89
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2
7
x−23+5x=18(x−1)
2
7
x+−23+5x=(18)(x)+(18)(−1)(Distribute)
2
7
x+−23+5x=18x+−18
(
2
7
x+5x)+(−23)=18x−18(Combine Like Terms)
37
7
x+−23=18x−1837
7
x−23=18x−18
Step 2: Subtract 18x from both sides.
37
7
x−23−18x=18x−18−18x
−89
7
x−23=−18
Step 3: Add 23 to both sides.
−89
7
x−23+23=−18+23
−89
7
x=5
Step 4: Multiply both sides by 7/(-89).
(
7
−89
)*(
−89
7
x)=(
7
−89
)*(5)
x=
−35
89
Step-by-step explanation:
Kiley would need glass of area between 3.14 and 12.56 square feet
Step-by-step explanation:
The Circumference of the circle is given by 2πr where “r” is the radius
Range of the circle’s circumference- 6.28 feet to 12.56 feet
Considering lowest radius as r₁ and the largest as r₂
2πr₁= 6.28
∴r₁= 6.28/(3.14*2) = 1 feet
Similarly
⇒2πr₂=12.56/(3.14*2)=2 feet
We know that area of the circle is given by πr
²
Area of the circle= 3.14*(1)² = 3.14 square feet
Area of the largest radius= 3.14*(2)²= 12.56 square feet
Hence Kiley would need glass of area between 3.14 and 12.56 square feet
Answer:
x = - 1 and x = 5
Step-by-step explanation:
Given
(x - 3)² + 2(x - 3) - 8 = 0
Let u = x - 3, then
u² + 2u - 8 = 0 ← solve for u
(u + 4)(u - 2) = 0 ← in factored form
Equate each factor to zero and solve for u
u + 4 = 0 ⇒ u = - 4
u - 2 = 0 ⇒ u = 2
Convert back to x, that is
x - 3 = - 4 ( add 3 to both sides ) ⇒ x = - 1
x - 3 = 2 ( add 3 to both sides ) ⇒ x = 5
Answer:
1 and5
Step-by-step explanation:
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