15. Erica can run 4 miles in 56 minutes. How many miles does Erica run if she runs for 12 minutes

What is y=1/2x+4 in standard form?

zhuklara [117]

<h3>Answer: x-2y = -8</h3>

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Explanation:

Multiply both sides by 2 to clear out the fraction

y = (1/2)x+4

2y = 2[ (1/2)x + 4 ]

2y = 2*(1/2)x + 2*4

2y = x + 8

Then move the x term over to the left side

2y = x+8

2y-x = 8

-x+2y = 8

Optionally we can multiply both sides by -1

-x+2y = 8

-1*(-x+2y) = -1*8

x-2y = -8

This is in standard form Ax+By = C with A = 1, B = -2, C = -8

The reason why I multiplied both sides by -1 was to make A > 0 which is what some textbooks use as convention. Of course -x+2y = 8 is equally valid too.

8 0

3 years ago

Explain how rays AB and AC form both a line and an angle.

GuDViN [60]

A straight line (180o) is still an angle. Would you be wondering if the question said "Can 179o be a real angle?" No you would simply draw it. 1 degree more and you have 180o and it is an angle as well.

So you have a line that is both a line and an angle with A in the middle.

4 0

3 years ago

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Ashton had 14 photo frames. He gave 7 frames to his cousin. Now, Ashton has 2 frames. Jack filled 14 bags each with 7 pounds of

rodikova [14]

Kate's situation is correct because she put 2 muffins each in 7 boxes, which is saying 7 x 2. If you multiply these factors together, you will get 14 muffins; which is the amount that Kate started with.

7 0

3 years ago

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Given below are the coordinates of the vertices of a triangle. Find the lengths of the sides of the triangle, then click to iden

Shkiper50 [21]

To find the length of the sides, we use the Pythagorean Theorem. First, let's look at the side RS. R is at (1,3), and S is at (3,1). Therefore, to find RS, we use the difference in height and length: $a = \sqrt{ {b}^{2} + {c}^{2} } \\ a = \sqrt{ {(3 - 1)}^{2} + {(1 - 3)}^{2} } \\ a = \sqrt{ {(2)}^{2} + {( - 2)}^{2} } \\ a = \sqrt{4 + 4} \\ a = \sqrt{8}$
The length of side RS is square root 8.

Side ST is made from point S (3,1) and point T (5,2).
$a = \sqrt{ {(5 - 3)}^{2} + {(2 - 1)}^{2} } \\ a = \sqrt{ {(2)}^{2} + {(1)}^{2} } \\ a = \sqrt{4 + 1} \\ a = \sqrt{5}$
The length of side ST is root 5.

Side RT is between R (1,3) and T (5,2).
$a = \sqrt{ {(1 - 5)}^{2} + {(3 - 2)}^{2} } \\ a = \sqrt{ {( - 4)}^{2} + {(1)}^{2} } \\ a = \sqrt{16 + 1} \\ a = \sqrt{17}$
The side RT is root 17. The triangle is scalene, meaning it has three sides of different lengths.

4 0

3 years ago

Write 8,128 in Expanded form

erik [133]

The answer is 8,000+100+20+8

6 0

3 years ago

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