Answer:
Midpoint is (0.5,6.5)
the distance is 7.1
Step-by-step explanation:
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Answer:
The answer is 1
Step-by-step explanation:
2(a+7)−7=9
Step 1: Simplify both sides of the equation.
2(a+7)−7=9
(2)(a)+(2)(7)+−7=9(Distribute)
2a+14+−7=9
(2a)+(14+−7)=9(Combine Like Terms)
2a+7=9
2a+7=9
Step 2: Subtract 7 from both sides.
2a+7−7=9−7
2a=2
Step 3: Divide both sides by 2.
2a
2
=
2
2
a=1
Answer:
1.875.
Step-by-step explanation:
Step 1: Multiply the whole number by the denominator: 1 × 8 = 8.
Step 2: Add the product you got in Step 1 to the numerator: 8 + 7 = 15.
Step 3: Divide the sum from Step 2 by the denominator: 15 ÷ 8 = 1.875.
x/4 >= -8
Multiply both sides by 4.
x >= (-8)(4)
x >= -32
The width of the rug is 3 inches
Step-by-step explanation:
A knitter wants to make a rug for a dollhouse
- The length of the rug will be 2 inches more than it’s width
- The total area of the rug ( in square inches) based on the width w of the rug (in inches ) is given by A(w) = w (2 + w)
- The desired area of the rug is 15 square inches
We need to find the width of the rug
∵ The area of the rug is A(w) = w(2 + w)
- Simplify the right hand side
∴ A(w) = 2w + w²
∵ The desired area of the rug is 15 square inches
- Equate A(w) by 15
∴ 2w + w² = 15
- Subtract 15 from both sides
∴ 2w + w² - 15 = 0
- Its a quadratic equation arrange its terms from the greatest power of x
∴ w² + 2w - 15 = 0
Factorize it into two binomial factors
∵ w² = w × w
∵ 15 = 3 × 5
∵ 5w - 3w = 2w
∴ w² + 2w - 15 = (w -3)(w + 5)
∴ (w - 3)(w + 5) = 0
- Equate each factor by 0
∴ w - 3 = 0 OR w + 5 = 0
∵ w - 3 = 0
- Add 3 to both sides
∴ w = 3
∵ w + 5 = 0
- Subtract 5 from both sides
∴ w = -5 ⇒ rejected because no dimension with -ve value
∴ w = 3 only
The width of the rug is 3 inches
Learn more:
You can learn more about the quadratic equation in brainly.com/question/9328925
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