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Yakvenalex [24]
3 years ago
10

Show AND justify each step of the solution. You will not receive credit unless you justify the step.

Mathematics
1 answer:
vitfil [10]3 years ago
4 0

Answer:

x=9

Step-by-step explanation:

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What is 4x-4y/2=x+2 in slope intercept form?
Alla [95]

Answer:

The equation would be y = 3/2x - 1

Step-by-step explanation:

To find the answer in slope-intercept form, simply solve for y.

4x-4y/2=x+2 ----> Subtract 4x from both sides

-4y/2=-3x+2 ----> Multiply both sides by 2

-4y = -6x + 4 -----> Divide by -4

y = 3/2x - 1

3 0
3 years ago
HELP! PLEASE! I really need help with this question!
LekaFEV [45]

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]


6 0
3 years ago
How many times does 10 go into 100,000,000,000,000,000?
PilotLPTM [1.2K]
100,000,000. this is how many times 1<span>0 goes into 100,000,000,000,000,000</span>
4 0
2 years ago
Read 2 more answers
A=160, b=110, C=54. What is the distance between AB?
Schach [20]

Answer:

50

Step-by-step explanation:

answer is 50

3 0
2 years ago
Find the length of line segment UV.
pshichka [43]

Answer:

The length of the line segment UV is 76 units

Step-by-step explanation:

In a triangle, the line segment joining the mid-points of two sides is parallel to the third side and equal to half its length

In Δ ONT

∵ U is the mid-point of ON

∵ V is the mid-point of TN

→ That means UV is joining the mid-points of two sides

∴ UV // OT

∴ UV = \frac{1}{2} OT

∵ UV = 7x - 8

∵ OT = 12x + 8

∴ 7x - 8 = \frac{1}{2} (12x + 8)

→ Multiply the bracket by \frac{1}{2}

∵ \frac{1}{2} (12x + 8) =  \frac{1}{2} (12x) +  \frac{1}{2} (8) = 6x + 4

∴ 7x - 8 = 6x + 4

→ Add 8 to both sides

∴ 7x - 8 + 8 = 6x + 4 + 8

∴ 7x = 6x + 12

→ Subtract 6x from both sides

∴ 7x - 6x = 6x - 6x + 12

∴ x = 12

→ Substitute the value of x in the expression of UV to find it

∵ UV = 7(12) - 8 = 84 - 8

∴ UV = 76

∴ The length of the line segment UV is 76 units

8 0
2 years ago
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