Answer:
a = -7
Step-by-step explanation:
7a+3=4a-18
Subtract 4a from each side
7a-4a+3=4a-4a-18
3a +3 = -18
Subtract 3 from each side
3a +3-3 = -18-3
3a= -21
Divide each side by 3
3a/3 = -21/3
a = -7
Answer:
(4,4)
Step-by-step explanation:
Answer:
17.6 kilometers are equal to 11 miles.
Step-by-step explanation:
Given that:
8 kilometers = 5 miles
Unit rate in terms of kilometer.
1 kilometer = 5/8 miles
Now,
We have to convert 17.6 kilometers in miles
17.6 kilometers =
17.6 kilometers =
17.6 kilometers = 11 miles
Hence,
17.6 kilometers are equal to 11 miles.
The distance from the tree house that the ball strike the ground is 10feet
<h3>Equation of a parabola</h3>
Given the path of the ball expressed by the parabola equation:
y = -2x^2+14x +60
The point where the ball strikes the ground is the point where y = 0. Substitute into the equation to have:
-2x^2+14x +60 = 0
x^2 - 7x - 30 = 0
Factorize the result
x^2 - 10x + 3x - 30 = 0
x(x-10)+3(x-10) = 0
x - 10 =0
x = 10
Hence the distance from the tree house that the ball strike the ground is 10feet
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Answer:
The perimeter of the regular octagon is 104 units
Step-by-step explanation:
we know that
The segment LM is the length of one side of the octagon
we have the coordinates
L(-6,-2) and M(6,3)
step 1
Find the distance LM
the formula to calculate the distance between two points is equal to
substitute the values
step 2
Find the perimeter
we know that
A regular octagon has eight equal sides
so
To find out the perimeter, multiply by 8 the length of the segment LM