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2 years ago

PLEASE HELP,, MARKING BRAINLIEST!! Write the scale factor of the polygon?

Mathematics

1 answer:

Sidana [21]2 years ago

8 0

Answer:

3/2

Step-by-step explanation:

just take the corresponding side lengths and divide em. you get 3/2 for everything

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How do you find a vector that is orthogonal to 5i + 12j ?

Rashid [163]

$\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad \cfrac{a}{b}\\\\
slope=\cfrac{a}{{{ b}}}\qquad negative\implies -\cfrac{a}{{{ b}}}\qquad reciprocal\implies - \cfrac{{{ b}}}{a}\\\\
-------------------------------\\\\$

$\bf \boxed{5i+12j}\implies 
\begin{array}{rllll}
\ \textless \ 5&,&12\ \textgreater \ \\
x&&y
\end{array}\quad slope=\cfrac{y}{x}\implies \cfrac{12}{5}
\\\\\\
slope=\cfrac{12}{{{ 5}}}\qquad negative\implies -\cfrac{12}{{{ 5}}}\qquad reciprocal\implies - \cfrac{{{ 5}}}{12}
\\\\\\
\ \textless \ 12, -5\ \textgreater \ \ or\ \ \textless \ -12,5\ \textgreater \ \implies \boxed{12i-5j\ or\ -12i+5j}$

if we were to place <5, 12> in standard position, so it'd be originating from 0,0, then the rise is 12 and the run is 5.

so any other vector that has a negative reciprocal slope to it, will then be perpendicular or "orthogonal" to it.

so... for example a parallel to <-12, 5> is say hmmm < -144, 60>, if you simplify that fraction, you'd end up with <-12, 5>, since all we did was multiply both coordinates by 12.

or using a unit vector for those above, then

$\bf \textit{unit vector}\qquad \cfrac{\ \textless \ a,b\ \textgreater \ }{||\ \textless \ a,b\ \textgreater \ ||}\implies \cfrac{\ \textless \ a,b\ \textgreater \ }{\sqrt{a^2+b^2}}\implies \cfrac{a}{\sqrt{a^2+b^2}},\cfrac{b}{\sqrt{a^2+b^2}}
\\\\\\
\cfrac{12,-5}{\sqrt{12^2+5^2}}\implies \cfrac{12,-5}{13}\implies \boxed{\cfrac{12}{13}\ ,\ \cfrac{-5}{13}}
\\\\\\
\cfrac{-12,5}{\sqrt{12^2+5^2}}\implies \cfrac{-12,5}{13}\implies \boxed{\cfrac{-12}{13}\ ,\ \cfrac{5}{13}}$

4 0

3 years ago

Solve the inequality

stepladder [879]

Answer:

(2.5+3)

Step-by-step explanation:

im not 100% sure though sorry

3 0

2 years ago

A battery manufacturer found that 3% of its batteries had defects.

Elina [12.6K]

I believe the answer is 240.
8000 * .03 = 240

7 0

3 years ago

Identify the property used in each step of solving the inequality 3x-2>-4.

WARRIOR [948]

Addition property of equality

Division property of equality

Solution:

Given inequality is:

3x - 2 > 4

$\mathrm{Add\:}2\mathrm{\:to\:both\:sides}$

Here, Addition property of equality is used

When the same amount is added to both sides of an inequality, then the inequality is still true

3x - 2 + 2 > 4 + 2

3x > 6

$\mathrm{Divide\:both\:sides\:by\:}3$

Here, Division property of equality is used

When we divide both sides of an equation by the same nonzero number, the sides remain equal.

$\frac{3x}{3}>\frac{6}{3}\\\\x > 2$

Thus the property used in each step of solving the inequality is found

8 0

3 years ago

Evaluate 7-5p+3q when p=1 and q=7

KIM [24]

Answer:

Step-by-step explanation:

Since it gives you the values of p and q, just plug it into the expression:

7 - 5p + 3q

7 - 5(1) + 3(7)

7 - 5 + 21

2 + 21

3 0

2 years ago

Read 2 more answers