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LenaWriter [7]
3 years ago
6

The height of a trapezoid is 18 in. and its area is 96 in square. One base of the trapezoid is 6 inches longer than the other ba

se. What are the lengths of the base?Explain how you found your answer
Mathematics
1 answer:
ale4655 [162]3 years ago
3 0
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Find an equation of the line passing through each of the following pairs of points. a (−3, 1), (0, 3)
Svetlanka [38]

\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{(-3)}}}\implies \cfrac{2}{0+3}\implies \cfrac{2}{3}

\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{\cfrac{2}{3}}[x-\stackrel{x_1}{(-3)}]\implies y-1=\cfrac{2}{3}(x+3) \\\\\\ y-1=\cfrac{2}{3}x+2\implies y=\cfrac{2}{3}x+3

5 0
3 years ago
When we make inferences about the difference of two independent population proportions, what assumptions do we need to make? mar
Elis [28]

When we make inferences about the difference of two independent population proportions, we assume that it is a random sample, and the number of successes and failures are at least 15 in each group.

Two independent proportions tests involve comparing the proportions of two unrelated datasets.

For these two datasets to be regarded as an independent population, the following must be true or assumed to be true

  • The datasets must represent a random sample
  • Each dataset must contain at least 15 successes and failures

Hence, the above highlights are the assumptions of two independent population proportions.

To learn more about independent populations from the given link

brainly.com/question/23989150

#SPJ4

4 0
1 year ago
Finding the slope from points
nekit [7.7K]

Answer:

m = -3

Step-by-step explanation:

The formula to find the slope of the line is :

slope = m = \frac{y_1 - y_2}{x_1-x_2}

Given that the two coordinates of the line are :

( -1 , - 7 ) ⇒ ( x₁ , y₁ )

( 1 , -13 )  ⇒ ( x₂ , y₂ )

<u>Let us solve now.</u>

m = ( y₁ - y₂ ) ÷ ( x₁ - x₂ )

m =  ( -7 - ( -13)) ÷ ( -1 - 1 )

m = ( -7 + 13 ) ÷ ( -2 )

m = 6 ÷ -2

<u>m = -3 </u>

5 0
2 years ago
Read 2 more answers
Henry buys a softball for $16 plus a 9% tax. Ella buys a pair of shoes for $17 plus a 9% tax. Enter the difference in the
Anvisha [2.4K]

Answer:

$1.09

Step-by-step explanation:

Henry: 16 increase 9% =

16 × (1 + 9%) = 16 × (1 + 0.09) = 17.44

Ella: 17 increase 9% =

17 × (1 + 9%) = 17 × (1 + 0.09) = 18.53

Difference: 18.53 - 17.44 = 1.09

3 0
3 years ago
I need to see that steps so please someone help!!
mestny [16]

Answer:

The answer is (2,5)

Thanks! Please mark as brainliest!!!!

Step-by-step explanation:

4 0
3 years ago
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