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Yuri [45]
3 years ago
5

An architect makes a model of a new house. The model shows a tile patio in the backyard. In the​ model, each tile has length

Mathematics
1 answer:
aleksley [76]3 years ago
3 0

Answer:

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Step-by-step explanation:

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What is x^4-10x^2+9 simplified
Zanzabum
\bf \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-------------------------------\\\\
%x^4-10x^2+9 
x^4-10x^2+9\implies (x^2)^2-10x^2+9\implies (x^2-9)(x^2-1)
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\underline{(x^2-3^2)}(x^2-1^2)\implies \underline{(x-3)(x+3)}(x-1)(x+1)

\bf \textit{keep in mind that }1=1^2=1^3=1^5=1^{10}=1^{1000000}
3 0
3 years ago
Find the distance between<br> (-12,1) and (12,-1)
djverab [1.8K]

ANSWER: Exact Form: 2\sqrt{145}

Decimal Form:  24.08318915

STEP-BY-STEP EXPLANATION:

(-12,1)  (12,-1)

Use the distance formula to determine the distance between the two points.

Distance = \sqrt{(X2-X1)^{2  }+ (Y2-Y1)^{2} }

Substitute the actual values of the points into the distance formula.

\sqrt{(12-(-12))^{2  }+ ((-1)-1)^{2} }

Multiply  -1 BY -12

\sqrt{(12+12)^{2  }+ ((-1)-1)^{2} }

Add 12 and 12

\sqrt{24^{2} +((-1)-1)^{2} }

Raise 24 to the power of 2

\sqrt{576 +((-1)-1)^{2} }

\sqrt{576+4}

\sqrt{580}

Rewrite 580 as 2^{2}·145

Factor 4 out of 580

\sqrt{4(145)}

Rewrite 4 as 2^{2}

\sqrt{2^{2}(145) }

Pull terms out from under the radical.

2\sqrt{145}

The result can be shown in multiple forms.

Exact Form: 2\sqrt{145}

Decimal Form:  24.08318915

8 0
4 years ago
Some 7th grade math I need help pls
LekaFEV [45]

Answer:

5.20

Step-by-step explanation:

the 2nd week is -16.54

the 4th week is -21.74

if u subtract them it gives u positive 5.2

hope this helps

4 0
4 years ago
Read 2 more answers
What is 43 in expanded form? A. 8 × 8 B. 12 × 12 × 12 C. 3 × 3 × 3 × 3 D. 4 × 4 × 4
vovikov84 [41]
4^3 = 4 x 4 x 4

answer
<span>D. 4 × 4 × 4</span>
3 0
3 years ago
Read 2 more answers
A deposit of $10,000 is made into an account that earns 6% interest. Use
Georgia [21]

Answer:

  $19,000

Step-by-step explanation:

The balance is the sum of the principal amount and the interest it earns:

  A = P + I

  A = P + Prt

  A = P(1 +rt)

  A = $10,000(1 +.06×15)

  A = $19,000 . . . balance after 15 years

3 0
3 years ago
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