Answer:
At the moment it is thrown, the height of the ball is 12 meters
Step-by-step explanation:
If the function 
models the height of the ball x seconds after it is thrown, then by this same function we can know the initial height of the ball at the initial moment.
If we represent the initial time instant as x = 0, then by doing h (0) we will get the initial height, just when the ball is thrown.
h (0) = 12 meters.
At the moment it is thrown, the height of the ball is 12 meters
For simple integer factors as this one has, you want to find two values for the quadratic in the form ax^2+bx+c. Let the two values be j and k. These two values must satisfy two conditions.
jk=ac=10 and j+k=b=11, so j and k must be 1 and 10.
Now replace bx with jx and kx...
2x^2+x+10x+5 now factor 1st and 2nd pair of terms.
x(2x+1)+5(2x+1)
(x+5)(2x+1)
Answer:
A
Step-by-step explanation:
y = -9 ------(1)
9x -4y = -9 -------(2)
substitute (1) into (2)
9x - 4 (-9) = -9
9x = - 45
x = -5
there you go, x = -5 and y = -9
so. (-5 , -9 )
hope this helps
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Answer:
2 + (13/4)x = 1/2 + (11/2)y
Step-by-step explanation:
Let each jar of paint used by Liam be x
Let each jar of paint used by Evan be y.
Liam uses 2 quarts of yellow paints and adds 3 1/4 jars of blue paint. so we have
2 + 3 1/4x
= 2 + (13/4)x
Since Evan also uses 1/2 quarts of yellow paints and add 5 1/2 jar of red paint, we have
1/2 + 5 1/2y
= 1/2 + (11/2)y
Since they end up with the same volume of paint, we have
2 + (13/4)x = 1/2 + (11/2)y
The perimeter of the rectangle is P = (17.2x₊16.4).
Given that,
Length, l = 8.6x₊3
Width, b = 5.2
In the formula P=2l+2w, where l is the rectangle's length and w is its width, the perimeter P of a rectangle is determined. Using the formula A=l×w, where l is the length and w is the width, we can determine the area A of a rectangle.
We need to find the expression for the perimeter of the rectangle. The formula for the perimeter of the rectangle is given by :
P=2(l₊b)
Putting values of l and b in the above formula:
p = 2(8.6x ₊ 3 ₊ 5.2)
= 2(8.6x ₊ 8.2)
= 2(8.6x) ₊ 2(8.2)
= 17.2x ₊ 16.4
So, the required perimeter of the rectangle is 17.2x₊16.4.
Learn more about Area Perimeter here:
brainly.com/question/25292087
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