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Andrews [41]
2 years ago
9

Find the distance between the points (-6,7) and (0,8)

Mathematics
1 answer:
natka813 [3]2 years ago
8 0

We can solve this problem by using the distance formula. The distance formula is: \sqrt{(x_{1}-x)^{2} + (y_{1} - y)^{2}} We can now put in values and solve.


\sqrt{(-6-0)^{2} + (7-8)^{2}}


\sqrt{36 + 1}


\sqrt{37}

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1. Which situation does NOT represent a functional relationship?
Alex

Answer:

  • 1. D
  • 2. C

Step-by-step explanation:

1. .....................................................................................................

A. This is a functional relationship as the number of workers depend on the number of job sites.

  • y = 5x

B. This is a functional relationship as the amount of money is dependent on the number of withdrawals

  • y = 2500 - 200x

C. This is a functional relationship as the number of vitamins depend on the number of monkeys

  • y = 3x

D. This is NOT a functional relationship as the output is a fixed value. The performance and scoring may repeat.

2. .....................................................................................................

<h3>Given</h3>
  • A = 62x -100
  • B = 2x - 3
<h3>To find </h3>
  • A/B
<h3>Solution</h3>
  • A/B =
  • (62x - 100)/(2x - 3) =
  • (31*2x - 31*3 - 7)/(2x - 3) =
  • (31(2x - 3) -7)/(2x - 3) =
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Correct option is C.

7 0
2 years ago
the volume of a cone is 3πx3 cubic units and its height is x units. which expression represents the radius of the cone’s base, i
iVinArrow [24]
The volume given is 3Pi(x^3) and the radius is x. The formula for the volume of a cone is V= [1/3]Pi(r^2)*height => [1/3]Pi (r^2) x = 3Pi(x^3) => (r^2)x = 3*3(x^3) => (r^2)x = 9(x^3) => (r^2) = 9x^2 => r = sqrt[9x^2] = 3x. <span>Answer: r = 3x</span>
7 0
2 years ago
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barnaby has 288 counters in a bag. the counters are red yellow and white. 3/8 of the counters are yellow and white in the ratio
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Answer:

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Step-by-step explanation:

8 0
2 years ago
Jose asks his friends to guess the higher of two grades he received on his math tests. He gives them two hints. The difference o
AlekseyPX

Answer : 96

x – y = 16 --------> equation 1

\frac{1}{8} x +\frac{1}{2} y = 52

x is the higher grade and y is the lower grade

We solve the first equation for y

x - y = 16

-y = 16 -x ( divide each term by -1)

y = -16 + x

Now substitute y in second equation

\frac{1}{8} x +\frac{1}{2} ( -16 + x ) = 52

\frac{1}{8} x - 8 +   \frac{1}{2} x = 52

\frac{1}{8} x  +   \frac{1}{2} x - 8 = 52

Take common denominator to combine fractions

\frac{1}{8} x  +   \frac{4}{8} x  -8 = 52

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Add 8 on both sides

\frac{5}{8} x   = 60

Multiply both sides by \frac{8}{5}

x = 96

We know x is the higher grade

96 is the higher grade of Jose’s two tests.

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Answer:
If she walks 5 blocks and it takes 10 minutes each block takes 2 minutes to walk.

10
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5
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