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Dennis_Churaev [7]
2 years ago
13

1/3(x-7)=5 what does x equal

Mathematics
1 answer:
Tpy6a [65]2 years ago
8 0

Answer: 1/3x(22-7)=5 so the answer is 22.

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Find the equation using the point-slope formula:<br> (4, 3) m = -3
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Step-by-step explanation:

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3 years ago
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Question 15 (5 points)<br> Find the angle between u = &lt;7, -2&gt; and v= (-1,2&gt;.
Tema [17]

Answer:

Approximately 2.3127 radians, which is approximately 132.51^{\circ}.

Step-by-step explanation:

Dot product between the two vectors:

\begin{aligned}& u\cdot v \\ =\; & 7 \times (-1) + (-2) \times 2 \\ =\; & (-11) \end{aligned}.

Magnitude of the two vectors:

\begin{aligned} \| u \| &= \sqrt{{7}^{2} + {(-2)}^{2}} \\ &= \sqrt{53} \end{aligned}.

\begin{aligned} \| v \| &= \sqrt{{(-1)}^{2} + {2}^{2}} \\ &= \sqrt{5} \end{aligned}.

Let \theta denote the angle between these two vectors. By the property of dot products:

\begin{aligned} \cos(\theta) &= \frac{u \cdot v}{\|u\| \, \| v \|} \\ &= \frac{(-11)}{(\sqrt{53})\, (\sqrt{5})} \\ &= \frac{(-11)}{\sqrt{265}}\end{aligned}.

Apply the inverse cosine function {\rm arccos} to find the value of this angle:

\begin{aligned} \theta &= \arccos\left(\frac{u \cdot v}{\| u \| \, \| v \|}\right) \\ &= \arccos\left(\frac{(-11)}{\sqrt{265}}\right) \\ & \approx \text{$2.3127$ radians} \\ &= 2.3127 \times \frac{180^{\circ}}{\pi} \\ &\approx 132.51^{\circ}\end{aligned}.

8 0
2 years ago
3) Solve the following problem using a proportion and write your solution in a complete sentence.
Solnce55 [7]
3/12= 0.25
0.25times25=$6.25
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3 years ago
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Answer:

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8 to the second power plus (1/5) to the second times 25 minus 1?
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I got 64 for this. use this link https://www.mathpapa.com/algebra-calculator.html if you rteacher lets you use a calculator, it is really quick and walks you through the work. it also does algebra equations. best calculator.
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3 years ago
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