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Feliz [49]
3 years ago
12

A system of equations is shown below. Which statement about the ordered pair (-7,-3) is true?

Mathematics
2 answers:
antoniya [11.8K]3 years ago
7 0
Answer:

C) It is the only solution to the system.

Step-by-step explanation:

3x + 3y = -30

2x + y = -17

3(-7) + 3(-3) = -30

-21 + -9 = -30

-30 = -30

True

2x + y = -17

2(-7) + (-3) = -17

-14 + -3 = -17

-17 = -17

True

jek_recluse [69]3 years ago
6 0
The lines defined by the equations are not parallel and the point is a solution to both of them.
It must be the point of intersection so it is the only solution to the system
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FInd the area of the circle
olchik [2.2K]

Answer:

A = 12.56 m²

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS

<u>Geometry</u>

  • Area of a Circle: A = πr²
  • d = 2r

Step-by-step explanation:

<u>Step 1: Define</u>

d = 4 m

<u>Step 2: Find </u><em><u>r</u></em>

  1. Substitute:               4 = 2r
  2. Isolate <em>r</em>:                   2 = r
  3. Rewrite:                    r = 2 m

<u>Step 3: Find Area</u>

  1. Substitute:               A = π(2)²
  2. Substitute:               A = (3.14)(2)²
  3. Evaluate:                  A = (3.14)(4)
  4. Multiply:                   A = 12.56 m²
8 0
3 years ago
___________ is a standard of measure for a physical quantity and is included as part of the x and y axes labels on a line graph.
zlopas [31]

Answer:

Unit of measure

Step-by-step explanation:

Unit of measure

When we construct any type of graph the unit of measure needs to be present, becuase the numbers without units are just numbers and with just the numbers we can't have physical interpretation of the situation.

For this reason is importatn to include the units of meausre with the plots since with that we have a point of reference for the variables used.

And satisfy the condition "A standard of measure for a physical quantity and is included as part of the x and y axes labels on a line graph."

8 0
3 years ago
The sum of four<br>consecutive odd number is 8o. Find the number​
yarga [219]

Answer:

<em>The sum of 4 consecutive odd number is 80</em>

<em>Let X be the first of these numbers</em>

<em>Then the next odd number is X+2</em>

<em>The third is X+4The fourth is X+6</em>

<em>All of these add up to 80</em>

<em>(X) + (X+2) + (X+4) + (X+6) = 80</em>

<em>Using the commutative and associative laws, let's transform this equation into</em>

<em>(X + X + X + X) + (2 + 4 + 6) = 804X + 12 = 80</em>

<em>Subtract 12 from both sides of the equation gives4X = 68</em>

<em>Divide both sides by 4 gives</em>

<em>X = 17</em>

<em>Going back to the original question:What are the 4 consecutive odd numbers: 17, 19, 21, 23Checking our answer:17 + 19 + 21 + 23 = 80 Correct!</em>

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A vehicle 1 1/8 uses gallons of gasoline to travel 13 1/2 miles. At this rate, how many miles can the vehicle travel per gallon
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