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bogdanovich [222]
3 years ago
8

The area of a rectangle is 20 square meters. How long is the length, if the width is 4 meters?

Mathematics
1 answer:
Brums [2.3K]3 years ago
4 0

To find, the length, divide the area by the width:

Length = 20 / 4 = 5 meters.

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∠ABD and ∠BDE are supplementary. Find the measures of both angles.
Gnom [1K]

Supplementary means that the angles have to add up to 180, so you have your equation.

180=5x+17x-18

198=22x

x=9

Then to find the measures of the angles, you plug x back in.

m∠ABD=5(9)=45 degrees

m∠BDE=17(9)-18=153-18=135 degrees  


5 0
3 years ago
When 5√20 is written in simplest radical form , the result is k√5 what is the value of K
Vladimir [108]

Answer:

Step-by-step explanation:

√20 can be rewritten as the product of two radicals:  √4√5,

and √4 = 2.

Thus, 5√20 = 5(2)√5 = 10√5.  Thus, B:  10 is correct; k = 10.

7 0
3 years ago
Find the parabola with equation y = ax^2 + bx whose tangent line at (2, 4) has equation y = 8x − 12.
MrRissso [65]
\bf y=ax^2+bx\implies \cfrac{dy}{dx}=2ax+b

now, we know the tangent line at (2,4) is y = 8x - 12, now, that's already in slope-intercept form, so, the slope of that tangent at (2,4) is "8" then.

now, that means when x = 2, the slope is 8, so let's use that.

\bf \left. \cfrac{dy}{dx}  \right|_{x=2}\implies 2a(2)+b=\stackrel{\textit{from tangent equation}}{8}\implies 4a+b=8
\\\\\\
4a=8-b\implies a=\cfrac{8-b}{4}\implies \boxed{a=2-\cfrac{b}{4}}\\\\
-------------------------------\\\\
\begin{cases}
x=2\\
y=4\\\\
a=2-\cfrac{b}{4}
\end{cases}\implies \stackrel{y = ax^2+bx}{4=\left( \boxed{2-\frac{b}{4}} \right)(2)^2+b(2)}\implies 4=8-b+2b
\\\\\\
\boxed{-4=b}\qquad thus\qquad a=2-\cfrac{-4}{4}\implies \boxed{a=3}\\\\
-------------------------------\\\\
y=3x^2-4x
5 0
3 years ago
Please help me because I don’t understand this
Svetradugi [14.3K]
What's your question? And where is the question?
3 0
3 years ago
Does anyone know how to explain this?
barxatty [35]
If it is I parenthesis then u multiply so here is an example f=4 x=1 then u could say 4×1=? and 3×4=? this is not an real answer it is just an example
7 0
3 years ago
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