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Kipish [7]
3 years ago
5

HELP! PLEASE! I really need help with this question!

Mathematics
1 answer:
LekaFEV [45]3 years ago
6 0

Answer:

They are at the same height at 1.13 seconds.

Step-by-step explanation:

Remark

The rockets are at the same height when  f(x) = g(x) [see below] are the same. So you can equate them.

Givens

f(x) = - 16x^2 + 74x + 9

g(x) = -16x^2 + 82x              I have changed this so you don't have 2 f(x)s

Solution

  • f(x) = g(x)
  • -16x^2 + 74x + 9 = -16x^2 + 82x                        Add:  16x^2 to both sides
  • -16x^2+16x^2+74x + 9 = -16x^2+16x^2 + 82x   Combine terms
  • 74x + 9 = 82x                                                     Subtract 74x from both sides
  • 74x - 74x + 9 = 82x - 74x                                  Combine
  • 9 = 8x                                                                 Divide by 8
  • 9/8 = 8x/8
  • x = 1 1/8                                                              Convert to decimal
  • x = 1.125
  • x = 1.13  [rounded]


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Four times the quotient of 3 and 4.
scoray [572]

Answer:

the answer would be 3.

Step-by-step explanation:

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How many Japanese yen are equal to $100?, $1,000?, $10,000?
pantera1 [17]

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<span>
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8 0
3 years ago
Show that sin (30°) = 1/2
Natali [406]

Answer:

Geometric proof in explanation.

Step-by-step explanation:

Draw an equilateral triangle.

A equilateral triangle has it's sides all congruent and all it's angles measures 60 degrees.

We are going to draw a line segment to cut the equilateral triangles into two congruent right triangles. I will do this in the attachment with p being positive.

You can see we will get 30-60-90 triangles.

We don't need to find the adjacent measurement to the angle whose measurement is 30 degrees since sine is opposite over hypotenuse.

\sin(30^\circ)=\frac{\frac{p}{2}}{p}=\frac{p}{2} \cdot \frac{1}{p}=\frac{1}{2}

\sin(30^\circ)=\frac{1}{2}

7 0
3 years ago
Solve the simultaneous Equation using the two <br> methods<br>4m=n +7<br>3m+ 4n+9=0​
GrogVix [38]

Elimination method:

4m = n + 7

3m + 4n + 9 = 0

<em>First, let's get the equations in the same form.</em>

4m - n - 7 = 0

3m + 4n + 9 = 0

<em>Now let's make multiply the first equation by 4 so we can eliminate n.</em>

16m - 4n - 28 = 0

+3m + 4n + 9 = 0

<em>Now we can add the equations.</em>

16m + 3m - 4n + 4n - 28 + 9 = 0

19m + 0n - 19 = 0

19m - 19 = 0

19m = 19

<em>m = 1</em>

<em>Now we put m back into one (or both) of the original equations.</em>

4(1) = n + 7

4 = n + 7

<em>n = -3</em>

<em>If you plug m into the other equation, you get the same result.</em>

<em />

Substitution method:

4m = n + 7

3m + 4n + 9 = 0

<em>With this method, we plug one of the equations into the other one. I'm going to use m in the second equation as a substitute for m in the second equation.</em>

3m + 4n + 9 = 0

3m = -4n - 9

m = (-4/3)n - 3

<em>Now I can substitute the right side into the first equation like so:</em>

4[(-4/3)n - 3] = n + 7

(-16n)/3 - 12 = n + 7

(-16n)/3 = n + 19

-16n = 3(n + 19)

-16n = 3n + 57

0 = 16n + 3n + 57

0 = 19n + 57

0 = 19n/19 + 57/19

0 = n + 3

<em>-3 = n</em>

<em>And then we put that back into one of the original equations.</em>

4m = n + 7

4m = -3 + 7

4m = 4

<em>m = 1</em>

Hopefully you learned something from this.

5 0
3 years ago
Complete the point-slope equation of the line through (3,-8) (6,-4)
Ganezh [65]

Answer:

y + 4 = 4/3(x - 6).

Step-by-step explanation:

The point-slope formula is shown below. We just need to find the slope.

(-4 - (-8)) / (6 - 3) = (-4 + 8) / 3 = 4 / 3

m = 4/3, y1 = -4, and x1 = 6.

y - (-4) = 4/3(x - 6)

y + 4 = 4/3(x - 6).

Hope this helps!

3 0
4 years ago
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