Anyone help with my geometry quiz please
Answer:
x is 11
Step-by-step explanation:
We know the slope (3/4) and a point (3,-4), so we can use point-slope form (y-y1=m(x-x1)
Substitute the numbers into the equation
y--4=3/4(x-3)
simplify
y+4=3/4(x-3)
do the distributive property
y+4=3/4x-9/4
subtract 4 from both sides
y=3/4x-25/4
this is the equation of the line.
Since it says that (x,2) is a point in the equation, we can substitute it into the equation
2=3/4x-25/4
add 25/4 to both sides
33/4=3/4x
multiply by 4/3
11=x
we can double check by plugging (11,2) into the equation of the line.
2=3/4(11)-25/4
2=33/4-25/4
2=2
it works! :)
Hope this helps!
Answer:
D.4
Step-by-step explanation:
First, find the slope of the line given. To do so, plot two points that are located on the line, and use the slope equation to solve for the slope.
Let the two points be:
(x₁ , y₁) = (4 , 1)
(x₂ , y₂) = (0, 2)
The slope formula is: <em>m </em> = (y₂ - y₁)/(x₂ - x₁)
Plug in the corresponding number to the corresponding variables.
<em>m</em> = (2 - 1)/(0 - 4)
<em>m</em> = 1/-4
<em>m</em> = -(1/4)
The slope of the line given is - 1/4. To find the line perpendicular to it, flip the fraction and the sign.
A line with the slope of (-1/4)'s perpendicular line would be (4).
D. 4 is your answer.
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1. The function

is a parabola of the form

. The the formula for the axis of symmetry of a parabola is

. We can infer from our function that

and

, so lets replace those values in our formula:





We can conclude that to the left of the line of symmetry the ball is reaching its maximum height, and to the right of the line of symmetry the ball is falling.
2. Lets check how much time the ball takes to reach its maximum height and return to the ground. To do that we are going to set the height equal to zero:



or


or

From our previous point we know that the ball reaches its maximum time at

, which means that <span>
it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.</span>
I think t^8 would be the simplified form