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AnnyKZ [126]
2 years ago
7

A square piece of sheet metal has an area of 25 square meters. How long is each side?

Mathematics
1 answer:
Basile [38]2 years ago
8 0
Area of square=side^2
25=side^2
Side=5
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explain the difference between a scale factor less than one, a scale factor of 1, and a scale factor greater than one.
Sati [7]
A scale factor less than one makes it smaller, a scale factor of one does not change size, and a scale factor greater them one makes it bigger.
5 0
3 years ago
Find the equation of a line passing through (-4,-3) and perpendicular to<br> 3 x + 2 y = 14.
Reil [10]

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

3x+2y=14\implies 2y=-3x+14\implies y=\cfrac{-3x+14}{2}\implies y = \cfrac{-3x}{2}+\cfrac{14}{2} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{2}}x+7\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

so therefore

\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-3}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{-3}\implies \cfrac{2}{3}}}

so we're really looking for the equation of a line whose slope is 2/3 and passes through (-4 , -3)

(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-3})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{2}{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-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{2}{3}}(x-\stackrel{x_1}{(-4)}) \implies y+3=\cfrac{2}{3}(x+4) \\\\\\ y+3=\cfrac{2}{3}x+\cfrac{8}{3}\implies y=\cfrac{2}{3}x+\cfrac{8}{3}-3\implies y=\cfrac{2}{3}x-\cfrac{1}{3}

3 0
2 years ago
What is 172 over 96.75 simplified?
Katyanochek1 [597]
\frac{172}{96.75}=172:96.75=172:96\frac{3}{4}=172:\frac{387}{4}=172\cdot\frac{4}{387}=4\cdot\frac{4}{9}=\frac{16}{9}=1\frac{7}{9}




\frac{172}{96.75}=\frac{17200}{9675}=\frac{16}{9}=1\frac{7}{9}
3 0
3 years ago
Read 2 more answers
Which is the best first step and explanation for solving this system of equations?
wariber [46]

Answer:

A ) subtract the second equation from the first equation

Step-by-step explanation:

2x + 3y = 7

2x - 4y = -5

subtracting the second equation from the first equation we get,

7y = 12

y=12/7

This is the correct option

7 0
3 years ago
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I'll give brainliest!!!! help!
EastWind [94]
The answer is A just trust me
3 0
3 years ago
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