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3 years ago

Classify the numbers as prime or composite 31 42 89 93

Mathematics

2 answers:

Brilliant_brown [7]3 years ago

8 0

Prime: 31 and 89

Composite: 42 and 93

Fittoniya [83]3 years ago

4 0

31 and 89 are prime numbers.
42 and 93 are composite numbers.

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2. Which is the following equation rewritten in slope-intercept form: -8x = 2 - 2y

Anna007 [38]

Answer:

B, y = 4x + 1

Step-by-step explanation:

to get it into y- intercept form we need to write it in the form y = mx + b

-8x = 2 - 2y, move 2y to the other side and -8x to the other side they both become positive.

2y = 8x + 2, dividing each by 2

yields y = 4x + 1

Hope this helps

8 0

3 years ago

The area of a square is 72 sq in. What is its side length?

vodka [1.7K]

Answer:

Step-by-step explanation: Each side on a square its the same to the other one, so 72 divided by 4 its equal to 18

5 0

3 years ago

Indicate the equation of the given line in standard form. The line that is the perpendicular bisector of the segment whose endpo

noname [10]

Well the line that bisects RS, will cut RS in two equal halves, therefore, that line will cut RS perpendicularly at the midpoint of RS.

now, what the dickens is the midpoint of RS anyway?

$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
R&({{ -1}}\quad ,&{{ 6}})\quad 
% (c,d)
S&({{ 5}}\quad ,&{{ 5}})
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left( \cfrac{5-1}{2}~~,~~\cfrac{5+6}{2} \right)\implies \stackrel{midpoint}{\left(2~~,~~\frac{11}{2} \right)}$

so, we know that perpendicular line, will have to go through (2, 11/2)

now, a perpendicular line to RS, will have a negative reciprocal slope to it. Well, what is the slope of RS anyway?

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ -1}}\quad ,&{{ 6}})\quad 
% (c,d)
&({{ 5}}\quad ,&{{ 5}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{5-6}{5-(-1)}\implies \cfrac{5-6}{5+1}\implies -\cfrac{1}{6}$

and let's check the reciprocal negative of that,

$\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad -\cfrac{1}{6}\\\\
slope=-\cfrac{1}{{{ 6}}}\qquad negative\implies +\cfrac{1}{{{ 6}}}\qquad reciprocal\implies + \cfrac{{{ 6}}}{1}\implies 6$

so, then, what's is the equation of a line whose slope is 6, and goes through 2, 11/2?

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 2}}\quad ,&{{ \frac{11}{2}}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 6
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-\cfrac{11}{2}=6(x-2)
\\\\\\
y-\cfrac{11}{2}=6x-12\implies -6x+y=-12+\cfrac{11}{2}\implies \stackrel{\textit{standard form}}{-6x+y=-\cfrac{13}{2}}$

6 0

3 years ago

Helppppp please!!! D:<br><br> Find the perimeter of the trapezoid below:<br> Please no cap!!

Gnesinka [82]

Answer:

Step-by-step explanation:

P=a+b+c+d = this is your name ok

7 0

3 years ago

Over the course of four weeks Mia spent 35 1 2 hours training for a race. Michael spent 1 1 2 times that amount training for the

madreJ [45]

Answer:Michael spent 53 1/4 hours

training.

Step-by-step explanation:

Over the course of four weeks Mia spent 35 1 2 hours training for a race. This can be written in decimal point as 35.5 hours.

Michael spent 1 1 2 times that amount training for the same race. Converting 1 1 2 to decimal, it becomes 1.5 hours.

This means that the number of hours that Michael spent training will be 35.5 × 1.5 = 53.25 hour.

Converting 53.25 hours to mixed fraction, it becomes

53 1/4 hours

5 0

4 years ago

Read 2 more answers