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3 years ago

Will pick Brainliest ONLY if correct answer!

Mathematics

2 answers:

yawa3891 [41]3 years ago

6 0

Answer:

x^4

Step-by-step explanation:

elena-14-01-66 [18.8K]3 years ago

4 0

Answer:

$x {}^{4}$

Step-by-step explanation:

here's your solution :-

=》

$\frac{(x {}^{3}) {}^{4} }{x {}^{8} }$

=》

$\frac{x {}^{12} }{x {}^{8} }$

=》

$x {}^{4}$

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Verify that parallelogram WXYZ with vertices W(-10, -2), X(-18,12), Y(-2,10), and Z (6,-4) is a rhombus by showing that it is a

dusya [7]

The parallelogram WXYZ is a rhombus because its diagonals are perpendicular

Step-by-step explanation:

The product of the slopes of two perpendicular lines is -1, that

means if the slope of one of them is m, then the slope of the

other is $\frac{-1}{m}$

The formula of the slope of a line is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
$(x_{1},y_{1})$ and $(x_{2},y_{2})$ are two points on the line

∵ WXYZ is a parallelogram

∵ W (-10 , -2) , X (-18 , -12) , Y (-2 , 10) , Z (6 , -4)

∵ Its diagonals are WY and XZ

- Find the slope of WY

∵ W = (-10 , -2) and Y = (-2 , 10)

∴ $x_{1}$ = -10 and $x_{2}$ = -2

∴ $y_{1}$ = -2 and $y_{2}$ = 10

∴ $m_{WY}=\frac{10--2}{-2--10}=\frac{12}{8}$

- Divide up and down by 4 to reduce it to its simplest form

∴ $m_{WY}=\frac{3}{2}$

- Find the slope of XZ

∵ X = (-18 , 12) and Z = (6 , -4)

∴ $x_{1}$ = -18 and $x_{2}$ = 6

∴ $y_{1}$ = 12 and $y_{2}$ = -4

∴ $m_{XZ}=\frac{-4-12}{6--18}=\frac{-16}{24}$

- Divide up and down by 8 to reduce it to its simplest form

∴ $m_{XZ}=\frac{-2}{3}$

∵ $(m_{WY}).(m_{XZ})=(\frac{3}{2})(\frac{-2}{3})=\frac{-6}{6}=-1$

∴ WY ⊥ XZ

∴ The diagonals of the parallelogram are perpendicular

∴ The parallelogram WXYZ is a rhombus

The parallelogram WXYZ is a rhombus because its diagonals are perpendicular

Learn more:

You can learn more about parallelograms in brainly.com/question/4459688

#LearnwithBrainly

5 0

4 years ago

What is 75 Times 37 equal

alukav5142 [94]

Answer:

2775

Step-by-step explanation:

Hope this helped :)

3 0

3 years ago

Leon is making punch for his birthday party. First, he pours 20 cups of ginger ale into his punch bowl. Then, he adds two 64-flu

Salsk061 [2.6K]

Answer: 28 cups.

Step-by-step explanation: If he has already poured 20 cups then 64 fluid ounces, 8 fluid ounces makes a cup. 8 x 8 is 64. So the answer is 8, after you do that you add it to the 20 and you have your answer.

5 0

3 years ago

Which value of k makes the inequality 11+2k>19 true?

Vadim26 [7]

Answer:

Step-by-step explanation:

11 + 2k > 19

2k > 19 - 11

2k > 8

k > 8/2

k > 4.

4 0

4 years ago

In a study of the accuracy of fast food drive-through orders, one restaurant had 40 orders that were not accurate among 307 ord

klemol [59]

Answer:

We conclude that the rate of inaccurate orders is greater than 10%.

Step-by-step explanation:

We are given that in a study of the accuracy of fast food drive-through orders, one restaurant had 40 orders that were not accurate among 307 orders observed.

Let p = population proportion rate of inaccurate orders

So, Null Hypothesis, $H_0$ : p $\leq$ 10% {means that the rate of inaccurate orders is less than or equal to 10%}

Alternate Hypothesis, $H_A$ : p > 10% {means that the rate of inaccurate orders is greater than 10%}

The test statistics that will be used here is One-sample z-test for proportions;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of inaccurate orders = $\frac{40}{307}$ = 0.13

n = sample of orders = 307

So, the test statistics = $\frac{0.13-0.10}{\sqrt{\frac{0.10(1-0.10)}{307} } }$

= 1.75

The value of z-test statistics is 1.75.

Also, the P-value of the test statistics is given by;

P-value = P(Z > 1.75) = 1 - P(Z $\leq$ 1.75)

= 1 - 0.95994 = 0.04006

Now, at 0.05 level of significance, the z table gives a critical value of 1.645 for the right-tailed test.

Since the value of our test statistics is more than the critical value of z as 1.75 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the rate of inaccurate orders is greater than 10%.

8 0

3 years ago