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natulia [17]
3 years ago
5

(-8,7) and (x,9) given m=1/2

Mathematics
1 answer:
8090 [49]3 years ago
7 0

Answer:

x = -4

Step-by-step explanation:

put the quardinates in the slope formula and set it to 1/2 and solve by cross multiplying

9-7/x+8 = 1/2

2/x+8 = 1/2

4 = x+8

x = -4

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Catherine has $400 in her checking account. She writes a check for $600. What is the balance of her account?
nevsk [136]

Answer:

Her new balance is $-200

$400 - $600 is $-200

8 0
3 years ago
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The circumference of a circle is 47.1 and the diameter of the circle is 15. Which best represents
kvv77 [185]

Answer: \pi =\frac{47.1}{15}

Step-by-step explanation:

The complete exercise is: "The circumference of a circle is 47.1 and the diameter of the circle is 15. Which best represents the value of π? "

In order to solve this exercise, it is important to remember that the circle can be calculated with the following formulas:

1. C=\pi D

Where "C" is the circumference of the circle and "D" is the diameter of the circle.

2. C=2\pi r

Where "C"  is the circumference of the circle and "r" is the radius of the circle (Remeber that the diameter is twice the radius).

In this case, the exercise gives you the circumference of the circle and its diameter. These are:

C=47.1\\\\d=15

Then, knowing those values, you can substitute them s into the first equation  C=\pi D, as following:

47.1=\pi (15)

The final step is to solve for \pi:

\pi =\frac{47.1}{15}

8 0
3 years ago
The circumference of the inner circle is 44 ft. The distance between the inner circle and the outer circle is 3 ft. By how many
Citrus2011 [14]

Answer: 18.86 feet

Step-by-step explanation:

The formula for determining the circumference of a circle is expressed as

Circumference = πD

Where D represents the diameter of the circle.

The circumference of the inner circle is 44 ft. It means that

22/7 × D = 44

22D = 7 × 44 = 308

D = 308/22

D = 14 ft

The distance between the inner circle and the outer circle is 3 ft. This means that the diameter of the outer circle would be

14 + 3 + 3 = 20 ft

Circumference of the outer circle is

22/7 × 20 = 62.86 ft

The number of feet by which the circumference of outer circle is greater than the circumference of the inner circle is

62.86 - 44 = 18.86 feet

5 0
4 years ago
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Svet_ta [14]

Answer:

11

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(Note that the diagram is not to scale)

You know BC is 6

You know DC is 5

You know CE is 12

Using K's position, it shows that AC is one off from EC

AC=11

5 0
2 years ago
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Soloha48 [4]

Answer:

  h(x)=(x-12)2 and g(x)=2

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