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mylen [45]
3 years ago
9

Help me please this is due today!!!!

Mathematics
1 answer:
erik [133]3 years ago
8 0

what would you do if when you okay so he said yes would go?

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Solve |p + 2| = 10Solve |p + 2| = 10<br><br> {-12}<br> {-8, 8}<br> {-12, 8}
valentinak56 [21]

By definition, we have

|p+2| = \begin{cases} p+2 &\text{ if } p+2 \geq 0 \\-p-2 &\text{ if } p+2 < 0 \end{cases}

So, we have to solve two different equations, depending of the possible range for the variable. We have to remember about these ranges when we decide to accept or discard the solutions:

Suppose that p+2\geq 0 \iff p \geq -2

In this case, the absolute value doesn't do anything: the equation is

p+2 = 10 \iff p = 10-2 = 8

We are supposing p \geq -2, so we can accept this solution.

Now, suppose that p+2 < 0 \iff p < -2. Now the sign of the expression is flipped by the absolute value, and the equation becomes

-p-2 = 10 \iff -p = 12 \iff p = -12

Again, the solution is coherent with the assumption, so we can accept this value as well.

3 0
3 years ago
Consider a convex hexagon in which all pairs of opposite sides are parallel. Prove that if one pair of opposite sides have equal
hjlf

A pair of the opposite sides of a hexagon has equal length and this is proved below.

<h3>How to illustrate the hexagon?</h3>

It should be noted that a hexagon is a polygon that has six sides.

In this case, it has 6 sides.

The total angles will be:

= (n - 2) × 180

= (6 - 2) × 180

= 720°

Each angle will hence be:

= 720°/6

= 120°

Each angle are equal and this illustrates that the parallel sides are equal.

A diagram is attached to illustrate the pair of parallel sides.

Learn more about hexagon on:

brainly.com/question/1615720

#SPJ1

6 0
2 years ago
Valerie ran Three and one-fourth laps yesterday, and her coach wants her to run Two and one-half times that many laps today. How
Maru [420]

Answer:

13/4 * 5/2

Step-by-step explanation:

In the question, it says that her coach wants her to run 2 1/2 TIMES the original 3/4 she had ran. Therefore, you would want to make the fractions into improper fractions, and then multiply, which is how you would get 13/4 * 5/2.

6 0
3 years ago
A machine can scan 12 pages in 3/5 minute. How many pages can be scanned in 1 minute?
Sedbober [7]
I believe that the answer is 20. I am not entirely sure though.
7 0
3 years ago
Read 2 more answers
Alex wants to paint one side of his skateboard ramp with glow-in-the-dark paint, but he needs to know how much area he is painti
Svetach [21]
The answer of the question is 140. hope i help you ;)

8 0
3 years ago
Read 2 more answers
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