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Fofino [41]
3 years ago
14

The perimeter of a rectangular vegetable patch is 32 meters. the area is 63 square meters. what are the dimensions of the vegeta

ble patch?
Mathematics
1 answer:
ad-work [718]3 years ago
5 0
2L + 2B =32m
L × B= 63m^2
Find 2 factors of 63 that add up to 32
2(9) + 2(7) = 32
The ans is 9m and 7m
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2x + 3y =12<br> Complete the missing value in the solution to the equation<br> (blank, 8)
blondinia [14]

Answer:

(-6, 8)

Step-by-step explanation:

2x + 3(8)= 12

2x + 24 = 12

      -24    -24   (subtract 24 from both sides)

2x = -12

x= -6

8 0
3 years ago
Write the inverse of h(x) = e 2x <br>h -1(x) = <br><br>log e2 x <br>2log ex <br>½log ex
svp [43]

Answer:

C

Step-by-step explanation:

So we have the function:

h(x)=e^{2x}

To find the inverse, switch h(x) and x, change h(x) to h⁻¹(x), and solve for it. Thus: "

x=e^{2h^{-1}(x)}

So, take the natural log (log to base e) of both sides:

\ln(x)=\ln(e^{2h^{-1}(x)})

The right side will cancel:

\ln(x)=2h^{-1}(x)

Divide both sides by 2:

h^{-1}(x)=\frac{1}{2}\ln(x)

And we're done!

Our answer is C

Note:

\ln(x)=\log_ex

6 0
4 years ago
5x + 7 = 2 what is X<br><br> A.x = -1<br> B.x = 1<br> C.x = 6<br> D.x = -6
ohaa [14]

Answer:

-1

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the effect on the figure k &gt; 1 show your work please thankssss
skad [1K]
2, 3, 5, 1000 any number that is larger than 1.
4 0
3 years ago
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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 8 sin(x
V125BC [204]

Answer with explanation:

The equation of two curves are

y=8 sin x

y=8 cos x

The point of intersection of two curves are

→8 sin x=8 cos x

sinx = cos x

x=\frac{\pi}{4}\\\\y=8\sin\frac{\pi}{4}\\\\y=4\sqrt{2}

When you will look between points , 0 and x=\frac{\pi}{4}\\\\y=8\sin\frac{\pi}{4}\\\\y=4\sqrt{2},the curve obtained is right angled triangle.

Now, rotate the curve that is right angled triangle along the line , y= -1, to obtain a shape similar or resembling with Right triangular prism.

Draw a circular disc in the right triangular prism , having radius =x,and small part on the triangle having length dx.dx varies from 0 to \frac{\pi}{4}.

Required volume of solid obtained

    =\int\limits^{\frac{\pi}{4}}_0 {8 \sin x} \, dx \\\\=|-8\cos x|\left \{ {{x=\frac{\pi}{4}}} \atop {x=0}} \right.\\\\=8-4\sqrt{2}

    =8-4√2 cubic units    

5 0
3 years ago
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