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vichka [17]
3 years ago
5

PLEASE HELP ON MATH HOMEWORK

Mathematics
1 answer:
vesna_86 [32]3 years ago
6 0
8 dollars and 10 cents
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Which is the mode of this data?<br><br> 12, 19, 22, 17, 15, 18, 15, 14, 16
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Answer: 15
REMEMBER: The mode is the value that appears most frequently in a data set.
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What is 11.5+y in word phase
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Eleven and five tenths plus another number
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indicate the equation of the line that is the perpendicular bisector of the segment with endpoints (4,1) and (2,-5)
bulgar [2K]

hmmm what would it be the bisector point of a line with those points?  let's check

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-5}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{2+4}{2}~,~\cfrac{-5+1}{2} \right)\implies \implies \left( \cfrac{6}{2}~,~\cfrac{-4}{2} \right)\implies (3,-2)

now, let's check the slope of those two points, bearing in mind that a perpendicular line will have a <u>negative reciprocal slope</u> to that one.

\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-5}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-5-1}{2-4}\implies \cfrac{-6}{-2}\implies 3 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{3\implies \cfrac{3}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{3}}\qquad \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}

so, we're really looking for the equation of a line whose slope is -1/3 and runs through (3, -2)

\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{-2})~\hspace{10em} slope = m\implies -\cfrac{1}{3} \\\\\\ \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-(-2)=-\cfrac{1}{3}(x-3)\implies y+2=-\cfrac{1}{3}x+1 \\\\\\ y=-\cfrac{1}{3}x+1-2\implies y=-\cfrac{1}{3}x-1

7 0
3 years ago
What fraction is equivalent to the expression 4/ 8+2/8+1/8?
SVEN [57.7K]
This rule applies to your expression

If all denominators of an expression are equal, simplify by adding the numerators

Thus; (numerators) 4 + 2 + 1 = 7

Simplifying your expression to a fraction of 7/8

Equivalent
8 0
3 years ago
What type of triangle do the side lengths 18cm 20cm and 30cm make?
jeka94

Answer:

I think it's an Isosceles Triangle

Step-by-step explanation:

Here are the fegrees for the Isosceles Triangle Isosceles Triangle degrees 68, 56, 56.

Hope this helped.

7 0
2 years ago
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