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Makovka662 [10]
3 years ago
7

Luca solved an equation as shown, and verified

Mathematics
1 answer:
OLga [1]3 years ago
5 0

Answer:

3

Step-by-step explanation:

squaring both sides first gives 2x-5=x-3+1 hence simplifying further give x=3

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Factor each Polynomial<br> <img src="https://tex.z-dn.net/?f=a%5E%7B2%7D-4a-24%2B6a" id="TexFormula1" title="a^{2}-4a-24+6a" alt
Keith_Richards [23]

Answer:

Correct answer:  (a - 4) · (a + 6)

Step-by-step explanation:

Given:

a² - 4a - 24 + 6a = a² - 4a + 6a - 24 = a (a - 4) + 6 (a - 4) = (a - 4) · (a + 6)

God is with you!!!

5 0
3 years ago
The volume is 120.9 in. What is the missing dimension (X)
Elina [12.6K]

Answer:

X = 2.5 in

Step-by-step explanation:

volume = L x W x H

120.9 = 9.3 x 5.2 x X

X = 2.5 in

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3 years ago
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I need help please!
wlad13 [49]

Answer:

Tell me you address right now!!!

Step-by-step explanation:

I am gonna call police for help!

5 0
3 years ago
Jamie and Sara went shopping at the mall. Jamie spent $25 more than three times what Sara spent. Jamie spent $154.
Basile [38]
Jamie = $25 + 3(Sara)
Jamie = $154

3x + $25 = 154
5 0
3 years ago
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a square garden has a diagonal of 12 m. What is the perimeter of the garden? Express in simplest radical form
lianna [129]

Answer:

The perimeter of the garden, in meters, is 24\sqrt{2}

Step-by-step explanation:

Diagonal of a square:

The diagonal of a square is found applying the Pythagorean Theorem.

The diagonal of the square is the hypothenuse, while we have two sides.

Diagonal of 12m:

This means that d = 12, side s. So

s^2 + s^2 = 12^2

2s^2 = 144

s^2 = \frac{144}{2}

s^2 = 72

s = \sqrt{72}

Factoring 72:

Factoring 72 into prime factors, we have that:

72|2

36|2

18|2

9|3

3|3

1

So

72 = 2^{3}*3^{2}

So, in simplest radical form:

s = \sqrt{72} = \sqrt{2^{3}*3^{2}} = \sqrt{2^3}*\sqrt{3^2} = 2\sqrt{2}*3 = 6\sqrt{2}

Perimeter of the garden:

The perimeter of a square with side of s units is given by:

P = 4s

In this question, since s = 6\sqrt{2}

P = 4s = 4*6\sqrt{2} = 24\sqrt{2}

The perimeter of the garden, in meters, is 24\sqrt{2}

5 0
3 years ago
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