Answer:
The length of the park is 175 feet
Step-by-step explanation:
Let us solve the question
∵ The perimeter of a rectangular park is 500 feet
∵ The formula of the perimeter of the rectangle is P = 2(L + W)
∵ L is the length and W is the width
→ Equate the rule of the perimeter by 500
∴ 2(L + W) = 500
→ Divide both sides by 2
∴ L + W = 250 ⇒ (1)
∵ The length of the park is 100 feet longer than the width
→ That means L is W plus 100
∴ L = W + 100 ⇒ (2)
→ Substitute L in (1) by (2)
∵ W + 100 + W = 250
→ Add the like terms
∵ (W + W) + 100 = 250
∴ 2W + 100 = 250
→ Subtract 100 from both sides
∵ 2W + 100 - 100 = 250 - 100
∴ 2W = 150
→ Divide both sides by 2
∴ W = 75
→ Substitute the value of W in (2) to find L
∵ L = 75 + 100 = 175
∴ The length of the park is 175 feet
To show equality with fractions both fractions should be converted to show their values with the same denominator then draw a picture of those fractions.
Remember that you can only compare fractions with the same denominator as is said with other operations dealing with fractions.
Answer:
arc BC = 84 degrees
Step-by-step explanation:
notice:
need to find n before finding arc BC
(13n -16) + (7n + 12) + 6n = 360
13n + 7n + 6n - 16 + 12 = 360
26n - 4 = 360
26n = 364
n = 364/26 = 14
so arc BC = 6*14 = 84 degrees
ANSWER
The other zero is
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EXPLANATION
The axis of symmetry serves as the midpoint of the two zeroes.
We were given that the axis of symmetry of the quadratic equation is
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We were also given that, one of the zeroes of the quadratic equation is
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Let the other zero of the quadratic equation be
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,then, we apply the midpoint formula to find the value of
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Since it is the x-values of the intercepts that gives the solution, we use only the x-value part of the midpoint formula which is given by,
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We substitute to obtain,
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We multiply through by 2 to get,
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This implies that,
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