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IgorC [24]
3 years ago
9

Which of the following statements describes the process for solving 4x ≥ -24?

Mathematics
1 answer:
dezoksy [38]3 years ago
4 0
Divide both sides of the inequality by 4 but don’t flip the symbol.

You only flip the inequality symbol if you divide by a negative number.

If you’re solving for x (which you are), you want to get x by itself. The only way to do that is to divide by 4.
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6 0
3 years ago
Answer this quickly please!
rodikova [14]

Answer:

\bar v = 60\,mph

Step-by-step explanation:

The distance travelled by Lisa in the first four hours of her trip is:

\Delta s = \left(50\,mph)\cdot (4\,h)

\Delta s = 200\,mi

The distance remaining and her average speed are, respectively:

\Delta s_{R} = 440\,mi - 200\,mi

\Delta s_{R} = 240\,mi

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3 0
3 years ago
Which expression is equivalent to 48 + 54?
Debora [2.8K]

48 + 54 = 102

102 / (8+9) = 6

48 + 54 = 6 x (8+9)

6 can be written on the blank line to make the expressions equivalent.

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6 0
3 years ago
Read 2 more answers
A square garden has 49 square feet. So the perimeter of the garden must be----feet.
lianna [129]

The side length of a square is the square root of the area:

Side length = √49 = 7 feet.

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7 0
3 years ago
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What is the radius of circle c
Oxana [17]

Answer:

radius = 13

Step-by-step explanation:

Look at the attached picture below. We can calculate radius with the help of the Pythagorean theorem. But first we have to find out the values of the two legs.

First let's find the shorter leg.

<u>Equidistant Chords Theorem</u>

Two chords are congruent if they are equidistant from the center.

Chords in the picture are congruent and that means that the distance from the center to each of them is the same!

Let's calculate the distance. But to get the distance we have to find x first.

Since the distances are the same:

x + 3 = 2x + 1\\2 = x

Therefore:

\text{distance (short leg)} = 2x + 1 = 2\cdot2 + 1 = 5

Let's focus on the longer leg. Since part of the radius is perpendicular to the chord, it actually bisects the chord! That means that the long leg is going to be a half of the length of the chord.

Therefore:

\text{long leg} = \frac{\text{chord}}{2} = \frac{24}{2} = 12

All that is left is the Pythagorean Theorem in the right triangle.

<u>Pythagorean Theorem</u>

\text{hypotenuse}^2 = \text{leg}_1^2 + \text{leg}_2^2

Hypotenuse in our case is the radius.

\text{radius}^2 = 5^2 + 12^2\\\text{radius}^2 = 25 + 144\\\text{radius}^2 = 169\\\text{radius} = 13

7 0
2 years ago
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