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patriot [66]
3 years ago
5

5 (p+3) + 9= 3 (p-2) +6

Mathematics
2 answers:
Zepler [3.9K]3 years ago
7 0
Distribute to 5p + 15 + 9 = 3p - 6 + 6
Then .. 5p + 24 = 3p
24 = -2p
-12 = p
AlladinOne [14]3 years ago
4 0

Answer:

p = -12

Step-by-step explanation:

5(p + 3) + 9 = 3(p - 2) + 6  <em>Use distributive property</em>

5p + 15 + 9 = 3p - 6 + 6  <em>Add like terms</em>

5p + 24 = 3p  <em>Subtract 5p from both sides to get the p terms on one side</em>

24 = -2p <em> Divide by 2 to get -p</em>

12 = -p <em> Divide by -1 to get p</em>

-12 = p

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Find the value of x and y to the nearest tenth
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The value of 'x' is 24.2 and the value of 'y' is 46.5.

To solve this, we do the following steps.
<u>Step 1:</u> Divide 'y' into 2 parts, 'a' and 'b'. 'a' would be the lower leg of the 45°-45°-90° triangle, while 'b' is the lower leg of the 30°-60°-90° triangle.<em>
</em><u>Step 2:</u> Given the hypotenuse (34) of the 30°-60°-90° triangle, solve for 'b' using the cosine of 30°.
    cos30° = b/34 [adjacent over hypotenuse]
    b = 34cos30° [cross-multiply]
    b = 29.4
<u>Step 3:</u> Solve for the 90° leg (the side opposite the 30° angle) using the Pythagorean Theorem. We will name this leg "h" (cuz height).
     l² + l² = hyp²
     29.4² + h² = 34²
     h² = 1156 - 864.36
     √h² = √291.64
     h = 17.1
<u>Step 4:</u> Solve for 'x' by using the 45°-45°-90° triangle ratio (1:1:√2). √2 would be the hypotenuse of the 45°-45°-90° triangle, while 1 would be both congruent legs.     
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     x = 17.1 × √2
     x = 24.2
<u>Step 5:</u> Now that we got the value of 'x', solve for 'y' by adding the measures of sides 'a' and 'b' together.<em>
</em><u />     y = a + b
     y = 17.1 + 29.4
     y = 46.5

And there you have it! <em>Hope this helps.</em>
     <em>
</em>
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3 years ago
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omeli [17]

Answer:

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Step-by-step explanation:

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----------

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3 0
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Step-by-step explanation:

6 0
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IRINA_888 [86]

The answer of given equation is 2c^{2} + 5c +4

Step-by-step explanation:

By putting the given values of E and F we get,

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Here we will take the coefficient of same variable together

=(6c^{2}-4c^{2}) +( -2c +7c) +( -1+5)

=2c^{2} + 5c +4

Hope this helps you.

4 0
3 years ago
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