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denpristay [2]
2 years ago
5

Identify an equation in point-slope form for the line parallel to y = 3x-7 that

Mathematics
2 answers:
Zigmanuir [339]2 years ago
8 0

Answer:The equation of the line parallel to (3x - y = 7) passes through the point (-5, -3) is y = 3x + 2 and this can be determined by using the one-point slope form.

Bess [88]2 years ago
7 0

Answer:

  • B. y + 2 = 3(x + 3)

Step-by-step explanation:

<u>Given line:</u>

  • y = 3x - 7

Its slope is 3.

The parallel line has same slope and passes through ( - 3, - 2).

<u>Its equation is:</u>

  • y - (- 2) = 3(x - (-3))
  • y + 2 = 3(x + 3)

Correct choice is B

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A toy rocket is launched vertically from 5 feet above ground level with an initial velocity of 112 feet per second. The height h
Masja [62]

Answer:

Step-by-step explanation:

a)The height h after t seconds is given by the equation h(t)=-16t^2+112t+5.

Where 5 represents 5feet above the ground and this is the height from which the rocket was launched.

The equation is a quadratic equation. The plot of this equation on a graph would give a parabola whose vertex would be equal to the maximum height travelled by the rocket.

The vertex of the parabola is calculated as follows,

Vertex = -b/2a

From the equation,

a = -16

b = 112

Vertex = - - 112/32= 3.5

So the rocket will attain maximum height at 3.5 seconds.

It will also take 3.5 seconds to reach the ground. This means it will take a total of 3.5 seconds + 3.5 seconds

= 7 seconds to hit the ground.

b) to find time it will take to be 100 feet above the ground,

-16t^2+112t-95 = 0

Using general quadratic equation formula,

a = -16

b = 112

c = -95

t = [-b+/-√b^2-4ac]/2a

t = [ -112 +/-√112^2-4×-16×-95]/16 × -2

= [-112 +/-√12544-6080]/-32

= (-112+80.4)/-32 or (-112-80.4)/-32

t = 0.9875 or t = 6.0125

So it will take 0.9875 or approximately 1 second to be 100 feet above the ground

7 0
3 years ago
What is the value of x for part A and part B
GuDViN [60]
Part A :

So the two sides are equivalent,

9x - 18 = 3x

Solve for x and get 3.

~~

Answer : x = 3

~~

Part B :

To find JM, simply substitute x for 3 and solve,

9(3) - 18
27 - 18 = 9
~^

Answer : JM = 9

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey

5 0
2 years ago
Solve for x &amp; y solve x = 3 + yy = -2x + 9
sergey [27]

x = 3 + y Eqn(1)

y = -2x + 9​ Eqn(2)

Let us solve the system of equations with the substitution method

x - 3 = y (Subtracting 3 from both sides of the Eqn(1))

Replacing y = x - 3 in Eqn (2), we have:

x - 3 = -2x + 9

x = -2x + 9 + 3 (Adding 3 to both sides of the equation)

x + 2x = 9 + 3 (Adding 2x to both sides of the equation)

3x = 12 ( Adding like terms)

x = 12/3 (Dividing by 3 on both sides of the equation)

x = 4

Replacing x=4 in Eqn(1), we have:

4 = 3 + y

4 - 3 = y (Subtracting 3 from both sides of the equation)

y=1

The answers are:

x= 4 and y=1

6 0
1 year ago
A bicycle tire has a diameter of 28 inches . How many inches would it take for the bicycle to make one complete rotation?
worty [1.4K]

Answer:

2 hours

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Plz help me with my Qustion
Mashutka [201]

Answer:

the answer is about 17.6

6 0
2 years ago
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