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Ivenika [448]
3 years ago
12

Solve the equation. -9x + 1 = -x + 17

Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
8 0

Answer:

x=−2

Step-by-step explanation:

−9x+1=−x+17

Add x to both sides.

−9x+1+x=−x+17+x

−8x+1=17

Subtract 1 from both sides.

−8x+1−1=17−1

−8x=16

Divide both sides by -8.

−8x/-8 = 16/-8

Answer:

x=−2

ddd [48]3 years ago
4 0

Answer:

The value of x:

x = -2

Step-by-step explanation:

Find the value of x:

-9x + 1 = -x + 17

-Add both sides by x:

-9x + 1 + x = -x + x + 17

-8x + 1 = 17

-Subtract both sides by 1:

-8x + 1 - 1 = 17 - 1

-8x = 16

Divide both sides by -8:

\frac{-8x}{-8} = \frac{16}{-8}

x = -2

So, the final answer would be x = -2 .

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<em></em>

Step-by-step explanation:

This given situation can be thought of as triangle \triangle PQR where PQ is the length of pole.

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and QR is the distance of bottom of pole to the point of fastening of rope to the ground.

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Given that:

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To find:

Side QR = ?

Solution:

We can apply Sine Rule here to find the unknown side.

Sine Rule:

\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}

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\dfrac{PR}{sinQ}=\dfrac{PQ}{sinR}\\\Rightarrow sin Q =\dfrac{PR}{PQ}\times sinR\\\Rightarrow sin Q =\dfrac{51}{44}\times sin58^\circ\\\Rightarrow \angle Q =79.41^\circ

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\angle P +\angle Q +\angle R =180^\circ\\\Rightarrow \angle P +58^\circ+79.41^\circ=180^\circ\\\Rightarrow \angle P = 42.59^\circ

Let us use the Sine rule again:

\dfrac{QR}{sinP}=\dfrac{PQ}{sinR}\\\Rightarrow QR =\dfrac{sinP}{sinR}\times PQ\\\Rightarrow QR =\dfrac{sin42.59}{sin58}\times 44\\\Rightarrow QR = 35.11\ ft

So, the answer is <em>35.11 ft</em>.

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