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4 years ago

14

There are 15 students in the preschool class. For every 7 kids there is 1 teacher. Which ratio shows the number of teachers to t

he number of students in the class?

1 answer:

Irina18 [472]4 years ago

8 0

Answer:

1:7

Step-by-step explanation:

1 teacher for every 7 kids

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Find the geometric mean of 6 and 42. In radical form

hjlf

Answer: 6√7

Step-by-step explanation:

Geometric Mean: Multiply the 2 numbers and take the square root.

6 · 42 = 252

Now take the square root:

√252

Simplify the radical (if needed):

6√7

Your geometric mean is 6√7.

Hope this helps!

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3 years ago

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p = -8

Step-by-step explanation:

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3 years ago

Given the point and slope, write the equation of the line

Ratling [72]

7)

$\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-4}{6-1}\implies \cfrac{-5}{5}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-4=-1(x-1) \\\\\\ y-4=-x+1\implies y=-x+5$

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$\bf (\stackrel{x_1}{-12}~,~\stackrel{y_1}{14})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-14}{6-(-12)}\implies \cfrac{-15}{6+12}\implies \cfrac{-15}{18}\implies -\cfrac{5}{6}$

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-14=-\cfrac{5}{6}[x-(-12)] \\\\\\ y-14=-\cfrac{5}{6}(x+12)\implies y-14=-\cfrac{5}{6}x-10\implies y=-\cfrac{5}{6}x+4$

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3 years ago

Which expression can be used to find the volume of the cylinder in this composite figure? (Remember: The formula to find the vol

bija089 [108]

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