A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation y = -0.06x^2 + 10.1x + 5, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground. How far horizontally from its starting point will the rocket land?
Answers
Answer:
The horizontal distance from the starting point when rocket lands is:
168.83 meters.
Step-by-step explanation:
We are given a function that models the height of the rocket when it is 'x' meters away from the starting point.
The function is:
Now we are asked to find the horizontal distance from the starting point when the rocket will land.
i.e. we are asked to find 'x' ; when y=0
i.e.
Let y=0
on solving the quadratic equation we obtain:
As the distance can't be negative.
Hence, the viable solution is:
x=168.83
y=-0.06x²+10.1x+5
==>6x²-1010x-500=0
Δ=1010²+4*6*500=1032100=(1015,92...)²
x=(1010-1015.92...)/12 <0 exclude
or x=(1010+1015.92..)/12=168.826935... (m)
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Which is another way to check the sum of 52+23+10+78
NEED HELP WITH A MATH QUESTION
How do I solve r+11+8r=29
Answers
Layla had the higher score by 20 points.
Step-by-step explanation:
Given,
Points for correct answer = 10 points
Points for incorrect answer = 20 points
Loss means subtraction;
Therefore,
Total points of Ji = Correct answers*10 - Incorrect answers*20
Total points of Ji = 7*10 - 3*20
Total points of Ji = 70 - 60
Total points of Ji = 10 points
Total points of Layla = Correct answers*10 - Incorrect answers*20
Total points of Layla = 5*10 - 1*20
Total points of Layla = 50 - 20
Total points of Layla = 30 points
Difference = Points of Layla - Points of Ji
Difference = 30 - 10 = 20 points
Layla had the higher score by 20 points.
Keywords: multiplication, subtraction
Learn more about subtraction at:
#LearnwithBrainly
Answers
numbers are
x,x+1,x+2
so
2 times first is 20 more than 2nd
2x=20+x+1
2x=21+x
x=21
numbers are
21,21+1,21+2
21,22,23
Answers
Answer:
To start off, this fraction needs to be rationalized; you can't have a radical in the denominator. So, you multiply both the numerator & denominator by the same number (so as to not mess up the proportion of numerator:denominator; it's like multiplying by 1) & get the radical out of the denominator. What number would that be? sqrt5.
So we have (sqrt6/sqrt5)•(sqrt5/sqrt5).
To simplify that, we get (sqrt6•sqrt5)/(sqrt5•sqrt5).
This can be rewritten as:
sqrt(6•5)/sqrt(5•5)
= sqrt30/sqrt25
Now, sqrt25 = 5, so that problem is solved as such:
sqrt30/5
I'm thinking sqrt30 can't be simplified any further. If it can, do so.
Hope this helps!
Step-by-step explanation:
Answers
The slope is (-3/5).
Prove: OW = ON
Answers
Answers
36% = 0.36
Now, we just divide 18 by the decimal to find out what the original number was.
18 / 0.36 = 50
So 36% of 50 is 18.
Let's check our work. To check, we just need to multiply 0.36 * 50, since the word 'of' in mathematics always implies multiplication.
0.36 * 50 = 18
So our work was correct.
36% of 50 is 18.
Hope that helped =)
Change the percentage into a decimal by dividing by 100:
Divide 18 by the decimal: