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faltersainse [42]
3 years ago
11

Solve each one variable equation.

Mathematics
1 answer:
uranmaximum [27]3 years ago
8 0

Answer:

See below in bold.

Step-by-step explanation:

a.  |x| = 6

x = 6, -6.

b.  |x − 5| = 4

x - 5 = 4

x = 9.

x - 5 = -4

x = 1.

c. 2|x + 3| = −10

No solution because |x + 3| is an absolute value so is always positive.

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S KM ∥ JN? Why or why not?
bixtya [17]

Given: We have the given figure through which we can see

LK=16,

KJ=10,

LM=24,

MN=15

To Find: Whether KM || JN and the reasoning behind it.

Solution: Yes, KM || JN because \frac{16}{10}= \frac{24}{15}

Explanation:

For this solution, we use the concept of Similar Triangles.

Now, KM || JN if ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).

Now, ∠MLK=∠NLJ

To prove similarity of the two triangles, we have to show that the sides are proportional. In other words, LK:KJ = LM:LN

LK:KJ=LM:LN\\\\ \frac{LK}{KJ} =\frac{LM}{LN}\\\\\frac{16}{26}= \frac{24}{39}\\\\

which is true as both sides simplify to \frac{8}{13}

Thus, we see that ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).

Therefore, KM || JN.

To come to the reasoning, notice that

\frac{LK}{LJ} =\frac{LM}{LN}\\\\\frac{LK}{LK+KJ} =\frac{LM}{LM+MN}\\\\\frac{LK+KJ}{LK} =\frac{LM+MN}{LM}\\\\1+\frac{KJ}{LK}=1+ \frac{MN}{LM}\\\\\frac{LK}{KJ} =\frac{LM}{MN}

In other words, \frac{16}{10}= \frac{24}{15}


4 0
4 years ago
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Need help on a-e (Please label them a-b)
Scorpion4ik [409]

a) All three athletes accelerated because the slope of every line in the beginning in positive.

b) Dash decelerated towards the end because the slope of the line representing him becomes negative.

c) Flash maintained a constant speed because the slope of his line does not change.

d) Krash's line is horizontal because he did not move for that time.

e) Flash won the race because his line reaches 100 first.

4 0
3 years ago
I WILL GIVE YOU BRAINLIESSTT!!! HELP HELP HELP!
gregori [183]

if you are looking for the slope the answer would be y=4/7x+25/7

5 0
4 years ago
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The coach paid $246 for 12<br>basketball uniforms. What<br>is the unit price?​
kozerog [31]

The Unit Price is 20.5

4 0
4 years ago
What is the following simplified product? Assume
Yanka [14]

<u>Answer:</u>

The correct answer option is D. 10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}.

<u>Step-by-step explanation:</u>

We are given the following expression:

\left ( \sqrt { 10 x ^ 4 } -x \sqrt { 5 x ^ 2 } \right ) \left ( 2 \sqrt { 15 x ^ 4 } + \sqrt { 3 x ^ 3 } \right )

Assuming that x\geq 0, we are to find its simplified product.

\left ( \sqrt { 10 x ^ 4 } -x \sqrt { 5 x ^ 2 } \right ) \left ( 2 \sqrt { 15 x ^ 4 } + \sqrt { 3 x ^ 3 } \right )

\\\\ = 2 \sqrt { 150 x ^ 8 } + \sqrt { 3 0 x ^ 7 }-2x\sqrt{75x^6}-x\sqrt{15x^5} \\\\ =2\sqrt{25\times6x^8}+x^3\sqrt{30x}-2x\sqrt{25\times3x^6}-x^3\sqrt{15x} \\\\ =10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}

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3 years ago
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