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3 years ago

Kaya used these steps to solve the equation 7+2x=2(x−1)+4. Which choice describes the meaning of her result, 7=2?

Mathematics

1 answer:

leva [86]3 years ago

7 0

Answer:

the equation has no solution

Step-by-step explanation:

Given

7 + 2x = 2(x - 1) + 4 ← distribute and simplify the right side

7 + 2x = 2x - 2 + 4

7 + 2x = 2x + 2 ( subtract 2x from both sides )

7 = 2 ← not possible

This indicates that the equation has no solution

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Factor a perfect square

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(5x-12)^2

Square factor of 25 is 5.
Square factor of 144 is 12.

Hope this helps. I didn't understand what to do with it.

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2 years ago

When a sound wave uncounters a barrier, what happens?

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3 years ago

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Liula [17]

<h2>○=> <u>Correct option</u> :</h2><h2> $\color{hotpink}\bold{ (a) \: 130}$ </h2><h3>○=> <u>Steps to derive correct option</u> :</h3>

Angle (p+7)° and angle (3p+1)° are a linear pair so their sum will be equal to 180°.

Which means :

$=\tt 3p + 1 + p + 7 = 180$

Let us solve that equation to find the value of p and the two angles :

$=\tt 3p + 1 + p + 7 = 180$

$=\tt 3p + p + 1 + 7 = 180$

$=\tt 4p + 8 = 180$

$= \tt4p = 180 - 8$

$= \tt4p = 172$

$=\tt p = \frac{172}{4}$

$\hookrightarrow \tt \color{plum}p = 43$

Thus, value of p = 43

Measure of angle (p+7)° :

$=\tt 43 + 7$

$\tt\color{plum}angle \: (p + 7)° =\tt 50°$

Measure of angle (3p+1)° :

$=\tt 43 \times 3 + 1$

$= \tt129 + 1$

$\tt\color{plum}angle \: (3p + 1)° = 130°$

Thus, the measure of the larger angle = 130°

Therefore, the correct option is <em>(a) 130</em>

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2 years ago

3x+8, 5x-4, 6x+9 constitute the 1st three terms of an arithmetic sequence. find x

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2 years ago

Simply 36/1225 into the smallest fraction

Aleksandr-060686 [28]

Answer:

36/1225 is in the simplest form.

Step-by-step explanation:

The easiest way to simplify a fraction is to look at eachs prime factorization:

36 has the factors:

(1, 2, 3, 4, 9, 12, 18 , 36)

1225 has these factors:

(1, 5, 7, 25, 35, 49, 175, 245, 1225)

Now we look for a common factor greater than 1:

Hmm... there isn't one in these sequences! With that information in our belt, we now know that 36/1225 is in its simplest form.

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2 years ago