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kumpel [21]
3 years ago
9

20 POINTS!!!!! w + 4 = - 6

Mathematics
1 answer:
Rus_ich [418]3 years ago
5 0

Answer: w= -10

Step-by-step explanation: move all terms not containing w to the right side of the equation

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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
In ΔIJK, k = 57 inches, i = 37 inches and ∠J=141°. Find ∠I, to the nearest degree.
Sonbull [250]

Answer:

<I= 15degrees

Step-by-step explanation:

Using the cosine rule formulae;

j² = i²+k²-2i cos <J

j² = 37²+57² - 2(37)(57)cos <141

j² = 1369+ 3249- 4218cos <141

j² = 4618- 4218cos <141

j² = 4618-(-3,278)

j²= 7,896

j = √7,896

j = 88.86inches

Next is to get <I

i² = j²+k²-2jk cos <I

37² = 88.86²+57² - 2(88.86)(57)cos <I

1369 = 7,896.0996+ 3249- 10,130.04cos <I

1369 = 11,145.0996 - 10,130.04cos <I

1369 - 11,145.0996 = - 10,130.04cos <I

-9,776.0996=- 10,130.04cos <I

cos <I =9,776.0996 /10,130.04

cos<I = 0.96506

<I = 15.19

<I= 15degrees

8 0
3 years ago
Rick made a paper football that was 1 1/6 inches long Carly made one that was 5/6 inches long how many longer was Rick's paper f
Alex17521 [72]
6 I believe if this is wrong sorry
5 0
3 years ago
Read 2 more answers
I REALLY NEED THIS SOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOPER BADLY
VLD [36.1K]

Answer:

8.4 * 10^6

Step-by-step explanation:

8.4 * 10^6

1 million = 1 * 10^6

8 million 4 hundred thousand is 8.4 * 10^4 because this number is 8.4 times bigger than a million.

6 0
3 years ago
When playing basketball, Jason makes 80% of his free throws. In a recent game Jason attempted 20 free throws. How many free thro
zheka24 [161]

Answer:

<u>It's expected that Jason make 16 out of 20 free throws</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Jason's free-throw scoring average = 80%

2. In a recent game Jason attempted 20 free throws. How many free throws would you expect him to make?

Free throws expected to make by Jason = 20 * 80%

<u>Free throws expected to make by Jason = 16</u>

8 0
3 years ago
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