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3 years ago

Find the unknown length x in each right triangle ,to the nearest tenth

Mathematics

1 answer:

vladimir2022 [97]3 years ago

3 0

That is a 3, 4, 5 right triangle.

Since 5 × 3 = 15 everything is multiplied by 3

3 × 3 = 9 ( the smaller leg )

4 × 3 = 12 ( the longer leg )

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Answer : 9

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I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey

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Jason has a total of 15 coins which are dimes and nickels. The coins are worth $1.10. How many dimes does he have?

Paladinen [302]

He has 7 dimes and 8 nickels.

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3 years ago

Select the correct answer. Which set of coordinates satisfies the equations x − 2y = -1 and 2x + 3y = 12? A. (1, 2) B. (3, 1) C.

alekssr [168]

Answer:

The coordinates that satisfy the equations will be: (3, 2)

Hence, option C is correct.

Step-by-step explanation:

Given the equations

$x\:-2y\:=-1;\:2x\:+\:3y=12$

solving the equations to find the solution values (coordinates)

$\begin{bmatrix}x-2y=-1\\ 2x+3y=12\end{bmatrix}$

$\mathrm{Multiply\:}x-2y=-1\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:2x-4y=-2$

$\begin{bmatrix}2x-4y=-2\\ 2x+3y=12\end{bmatrix}$

$2x+3y=12$

$-$

$\underline{2x-4y=-2}$

$7y=14$

$\begin{bmatrix}2x-4y=-2\\ 7y=14\end{bmatrix}$

solve for y

$7y=14$

$y=2$

$\mathrm{For\:}2x-4y=-2\mathrm{\:plug\:in\:}y=2$

$2x-4\cdot \:2=-2$

$2x=6$

$\mathrm{Divide\:both\:sides\:by\:}2$

$\frac{2x}{2}=\frac{6}{2}$

$x=3$

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}$

$x=3,\:y=2$

Therefore, the coordinates that satisfy the equations will be: (3, 2)

Hence, option C is correct.

7 0

3 years ago

Read 2 more answers

A line passes through the points (4,8) and (2,0). What is its equation in slope-intercept form?

lorasvet [3.4K]

Answer:

The answer is y = 4x - 8.

Step-by-step explanation:

☆Remember: $m = \frac{y_2 - y_1}{x_2 - x_1}$

☆Slope-intercept: $y = mx + b$

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☆We need to find the slope first. So just plug in according to the slope formula!

$m = \frac{0 - 8}{2 - 4} = \frac{ - 8}{ - 2} = 4$

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☆Now we need to find the y-intercept. We are going to plug in the slope and a set of coordinates to find the y-intercept.

$y = mx + b \\ 8 = 4(4) + b \\ 8 = 16 + b \\ \frac{ - 16 = - 16 \: \: \: \: \: \: \: \: \: \: \: \: }{ - 8 = b \: \: \: \: \: \: \: \: \: \: \: \: \: \: }$

---

☆Now all we need to do is plug in and we are done!

$y = 4x - 8$

▪Happy To Help <3

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3 years ago

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The simple harmonic motion equation given in the question is
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where "A" is the amplitude and "6" is the period. I hope that this is the answer that you were looking for and the answer has actually come to your desired help.

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3 years ago

Find the value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2

soldier1979 [14.2K]

The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2

Solution:

Given that line is passing through point (-5, 2) and (3, r)

Slope of the line is $\frac{-1}{2}$

Need to determine value of r.

Slope of a line passing through point $\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right)$ is given by following formula:

$\text { Slope } m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ --- eqn 1

$\text { In our case } x_{1}=-5, y_{1}=2, x_{2}=3, y_{2}=\mathrm{r} \text { and } m=-\frac{1}{2}$

On substituting the given value in (1) we get

$\begin{array}{l}{-\frac{1}{2}=\frac{r-2}{3-(-5)}} \\\\ {\text { Solving the above expression to get value of } r} \\\\ {=>-\frac{1}{2}=\frac{r-2}{3+5}} \\\\ {=>-8=\frac{r-2}{3+5}} \\\\ {=>-8=2(r-2)} \\\\ {=>-8=2 r-4} \\\\ {=>2 r=-8+4} \\\\ {=>2 r=-4} \\\\ {=>r=\frac{-4}{2}=-2}\end{array}$

Hence the value of "r" is -2

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3 years ago