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bazaltina [42]
3 years ago
5

The area of a rectangular wall of a barn is 80 square feet. The lenth is 12 feet longer than twice its width. Find the length an

d width of the barn.
Mathematics
1 answer:
aivan3 [116]3 years ago
8 0
Do you have the answer key to this question if so can you plz tell me the correct answers to check if my work is right
Thanks!
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A drone has an effective range represented by a circle on a coordinate plane. The points (–12, 3) and (–6, –5) are endpoints of
Mrac [35]

Answer:

(x+9)^2 + (y+1)^2 = 100

Step-by-step explanation:

Since the question says diameter, we know the boundary in a circle. Therefore, we just need to find the center and radius.

The center is the midpoint of the two endpoints on a diameter.

Here, it is (-9, -1).

Therefore, the left part of the equation is (x- -9)^2 + (y - -1)^2 = (x+9)^2 + (y+1)^2.

The radius: sqrt(8^2 + 6^2) = 10

So the equation is (x+9)^2 + (y+1)^2 = 100

3 0
3 years ago
Read 2 more answers
Find the y intercept of the line on the graph
saul85 [17]
It’s the vertical line on the graph
4 0
1 year ago
What is the range of the function y=e^4x?<br><br> y&lt;0<br> y&gt;0<br> y&lt;4<br> y&gt;4
Oliga [24]

We have been given the function y=e^{4x}

We know that the range is set of y values for which the function is defined. Therefore, we will find the value for x and then observe the restriction is y's values.

y=e^{4x}\\\ln y = \ln (e^{4x})\\\ln y =4x\\x=\frac{1}{4}\ln y

Now, we know that logarithm function is not defined for negative values. Hence, the value for y is always greater than zero.

Therefore, the range of the function is given by y>0

B is the correct option.

7 0
2 years ago
Read 2 more answers
VERY URGENT HAVE A TEST TO TAKE
Daniel [21]
The easiest way is to try the point (-4,1), that is, x=-4, y=1,
to see which equation works.
b works.

The usual way to do it is to find the equation of the circle
standard form of a circle is (x-h)²+(y-k)²=r², (h,k) are the coordinates of the center, r is the radius. 
in this case, the center is (-2,1), so (x+2)²+(y-1)²=r²
the given point (-4,1) is for you to find r: (-4+2)²+(1-1)²=r², r=2
so the equation is (x+2)²+(y-1)²=2² 
expand it: x²+4x+4+y²-2y+1=4
x²+y²+4x-2y+1=0, which is answer b.

5 0
3 years ago
Two Aps have the same first and last terms .The first Ap has 21 terms with a common difference of nine how many terms has the ot
Pani-rosa [81]

Answer:

46 terms

Step-by-step explanation:

a₁=b, a₂₁= bₙ, d₁=9, d₂=4

n=?

---------------

a₂₁= a₁+20d₁= a₁+20*9= a₁+180

bₙ= b₁+(n-1)d₂= a₁+4(n-1)

a₁+4(n-1)=a₁+180

4(n-1)=180

n-1= 180/4

n-1= 45

n=46

7 0
3 years ago
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