(x+5) (x+3)
x^2 = (x+?) (x+?)
8x+15= 5&3
8x= 5•3
15= 5+3
Answer:
True
Step-by-step explanation:
Each time a spinner is spun, there is an equal chance that each result will occur, thus each of these spins are independent.
9514 1404 393
Answer:
lower left
Step-by-step explanation:
We notice that the answer choices have only the first equation changed. The equivalent of the first equation must have the same ratios of coefficients.
x-coefficient : y-coefficient : constant
= 2 : 1 : -15 . . . . . in the given equation
2 : -2 : 30 = 1 : -1 : 15 . . . upper left — not the same
-4 : -2 : -15 = 4 : 2 : 15 . . . upper right — not the same
-4 : -2 : 30 = 2 : 1 : -15 . . . lower left — same as the given equation
-4 : 1 : 30 = 4 : -1 : -30 . . . lower right — not the same
Answer:
49.5 mi
Step-by-step explanation:
Area of a triangle is A = (height) X (base) / 2
So if you plug in the numbers you get:
806.9 = (32.6) X (base) / 2
1613.8 = (32.6) X (base)
1613.8 / 32.6 = base
base = 49.5 mi
Answer:
x = ¹⁰⁄₄,⁵⁄₂, or 2.5
Step-by-step explanation:
Given: 13 - 2(2x + 1) = 1
1. Distribute -2 through the parentheses:
⇒ 13 - 2(2x + 1) = 1
⇒ 13 + (-2)(2x) + (-2)(1) = 1
13 - 4x - 2 = 1
2. Combine like terms:
⇒ 13 - 4x - 2 = 1
⟹ 11 - 4x = 1
3. Subtract 11 from both sides:
⇒ 11 - 11 - 4x = 1 - 11
⟹ -4x = -10
4. Divide both sides by -4:
⇒ -4x ÷ -4 = -10 ÷ -4
⟹ x = ¹⁰⁄₄,⁵⁄₂, or 2.5
5. Check your work:
⇒ 13 - 2(2x + 1) = 1
⇒ 13 - 2(2(2.5) + 1) = 1
⇒ 13 - 2(5 + 1) = 1
⇒ 13 - 2(6) = 1
⇒ 13 - 12 = 1
⟹ 1 = 1 ✔
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