Answer: Distance between line and point =
4√5 -3/2√10
Step-by-step explanation:
Distance between the line is
= √ ((9-0)²+(0+1)²)
= √ (89+1)
= √90
= 3√10
Half of the line = 3/2√10
Distance of one side of the line and the point.
= √((9-1)²+(0-4)²)
= √((8)²+(-4)²)
=√64+16
= √80
= 4√5
Distance between line and point =
4√5 -3/2√10
Answer:
The length of the rectangular field is 12 ft and the width is 5 ft.
Step-by-step explanation:
The area of a rectangle is:

The area of a rectangular field is, <em>A</em> = 60 ft.
The length of the field is:
l = w + 7
Compute the width of the field as follows:


Factorize the last equation by splitting the middle term as follows:

Now, since the width of rectangular field cannot be negative, the width is 5 ft.
Compute the length as follows:
l = w + 7
= 5 + 7
= 12
The length of the rectangular field is 12 ft.
Answer:
(x+2)^2/16 - (y-1)^2/9 = 1
Step-by-step explanation:
I just did this problem for edgen 2020.
Answer:
17662.5 sq. feet
Step-by-step explanation:
We know that the formula for Area of a Circle is
.
r = radius; d = diameter, which is r*2
And so, in the question, it gives you that the diameter is 150, first we divide it by 2 to get the radius.
150/2 = 75
The question said to keep
=3.14, so then we plug in the equation-

Then we use PEMDAS [Parenthesis; Exponents; Multiply & Divide; Add & Subtract] which would get us-
(first doing the Exponent)
And we continue-
(then multiple)
So our answer is-
17662.5 sq. feet
I hope this helps!
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