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Leokris [45]
3 years ago
8

Four times the sum of a number and -3 is 7 more than quadruple the number. Write and solve the equation to find the number.

Mathematics
1 answer:
GrogVix [38]3 years ago
3 0
4 [x+(-3)] = 4x + 7

distribute 4

4x - 12 = 4x + 7

subtract 4x

-12 = 7

no solution
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Solve each equation.<br> 1. 25 - 3x = 40<br> 2. } (x – 10) = -4
nordsb [41]

Step-by-step explanation:

For no 1

<em>2</em><em>5</em><em> </em><em>-</em><em> </em><em>3x </em><em>=</em><em> </em><em>4</em><em>0</em><em> </em>

<em>-</em><em> </em><em>3x </em><em>=</em><em> </em><em>4</em><em>0</em><em> </em><em>-</em><em> </em><em>2</em><em>5</em><em> </em>

<em>-</em><em> </em><em>3x </em><em>=</em><em> </em><em>1</em><em>5</em><em> </em>

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<em>Therefore </em><em> </em><em>x </em><em>=</em><em> </em><em>-</em><em> </em><em>5</em><em> </em>

<em>Now </em><em>for </em><em>no. </em><em> </em><em>2</em>

<em>1</em><em>/</em><em>3</em><em> </em><em>(</em><em> </em><em>x </em><em>-</em><em> </em><em>1</em><em>0</em><em>)</em><em> </em><em>=</em><em> </em><em>-</em><em> </em><em>4</em><em> </em>

<em>(</em><em> </em><em>x </em><em>-</em><em> </em><em>1</em><em>0</em><em> </em><em>)</em><em> </em><em>=</em><em> </em><em>-</em><em> </em><em>1</em><em>2</em><em> </em>

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<em>Therefore </em><em> </em><em>x </em><em>=</em><em> </em><em>-</em><em> </em><em>2</em><em> </em>

<em>Hope </em><em>it </em><em>will </em><em>help </em><em>:</em><em>)</em>

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A farmer has a field in the shape of a triangle. The farmer has asked the manufacturing class at your school to build a metal fe
Finger [1]

Answer:

<em>Fencing required = 1586 m</em>

Step-by-step explanation:

The given statements can be thought of a triangle \triangle ABC as shown in the diagram attached.

A be the 1st vertex, B be the 2nd vertex and C be the 3rd vertex.

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To find:

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Here, we know two sides of a triangle and the angle between them.

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Let us use <em>Cosine Rule </em>to find the third side.

Formula for cosine rule:

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Where  

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\Rightarrow cos 49^\circ = \dfrac{656^{2}+435^{2}-BC^{2}}{2\times 435\times 656}\\\Rightarrow BC^2 = 430336+189225-2 (435)(656)cos49^\circ\\\Rightarrow BC^2 = 430336+189225-570720\times cos49^\circ\\\Rightarrow BC^2 =619561-570720\times cos49^\circ\\\Rightarrow BC \approx 495\ m

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<em></em>

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1. 1

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