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frozen [14]
3 years ago
9

Can someone help me put this equation in standard form I give you brainliest !(and a explanation )

Mathematics
1 answer:
natali 33 [55]3 years ago
6 0

Answer:

y = \frac{1}{2}x

Step-by-step explanation:

First plot (3,1). Then use the slope to create the second point. Go up 1, right 2.

Next draw a line connecting the points. The line touches the y-axis at 0.

y = mx + b is the form you use.

~theLocoCoco

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A rocket is fired with an initial vertical velocity of 40 m/s from a launch pad 45 m high, and its height is given by the formul
N76 [4]

Answer:

1) 125 meters

2) For 9 seconds.

Step-by-step explanation:

The rocket's height is given by the formula -5t^2+40t+45.

Notice that this is a quadratic.

Part 1)

Since this is a quadratic, the highest height the rocket goes will be the vertex of our quadratic. Remember that the vertex of a quadratic in standard form is:

(-\frac{b}{2a}, f(-\frac{b}{2a}))

So, let's identify our coefficients. The standard quadratic form is:

ax^2+bx+c

Therefore, in this case, our a is -5, b is 40, and c is 45.

So, let's find the x-coordinate of our vertex. Substitute 40 for b and -5 for a. This yields:

x=\frac{-(40)}{2(-5)}

Multiply and reduce. So:

x=-40/-10=4

Now, substitute 4 for t to find the height. So:

-5(4)^2+40(4)+45

Evaluate:

=-5(16)+40(4)+45

Multiply and add:

=-80+160+45=125\text{ meters}

Therefore, the highest the rocket goes up is 125 meters.

Part 2)

To find out for how much time the rocket is in the air, we can think about after how many seconds after launch will the rocket land.

If the rocket lands, the height h will be 0. So, we can set our expression equal to 0 and solve for t:

-5t^2+40t+45=0

First, let's divide everything by -5. This yields:

t^2-8t-9=0

We can factor:

(t+1)(t-9)=0

Zero Product Property:

t+1=0\text{ or } t-9=0

Solve for t:

t=-1\text{ or } t=9

In this case, since t is our time in seconds, -1 seconds does not make sense. So, we can remove -1 from our solution set.

Therefore, 9 seconds after launch, the rocket will touch the ground.

Therefore, the rocket was in the air for 9 seconds.

And we're done!

6 0
3 years ago
1/6 is equal to what
Anastasy [175]

1/6 = 0.1666, the last number repeating to infinity, or a repeating decimal.

Hope helps!-Aparri

6 0
3 years ago
Read 2 more answers
What does the perpendicular bisector of a line mean?
ankoles [38]
This bisector created a 90 degree angle
7 0
3 years ago
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60 POINTS BRAINLIEST
Mariana [72]

60 POINTS BRAINLIEST

ANSWER QUESTIONS A B & C

PHOTO ATTACHED BELOW !!!!

A) Using the given spreadsheet as a basis, discuss the usefulness of a standard

deviation in a given dataset. You need to cite any literature sources you use.

B) Produce an appropriate fully-labeled chart to compare the gold, silver and

bronze medals totals of the 10 countries.

C) Use a suitable and fully-labeled chart to reflect the contribution of each

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PLEASE HELP DUE TODAY!!60 POINTS BRAINLIEST

ANSWER QUESTIONS A B & C

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B) Produce an appropriate fully-labeled chart to compare the gold, silver and

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PLEASE HELP DUE TODAY!!60 POINTS BRAINLIEST

ANSWER QUESTIONS A B & C

PHOTO ATTACHED BELOW !!!!

A) Using the given spreadsheet as a basis, discuss the usefulness of a standard

deviation in a given dataset. You need to cite any literature sources you use.

B) Produce an appropriate fully-labeled chart to compare the gold, silver and

bronze medals totals of the 10 countries.

C) Use a suitable and fully-labeled chart to reflect the contribution of each

country to the overall medals total.

PLEASE HELP DUE TODAY!!

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5 0
3 years ago
Read 2 more answers
At the Hula Factory, the assembly line produces 212 leis in a batch. The leis are packaged in boxes with 30 each. If 14 batches
nikklg [1K]

Answer:

197 leis left over

Step-by-step explanation:

14 times 212 = 2968

2968/30 = 98.93

212 times 0.93 = 197

98 packages and 197 leis left over

7 0
2 years ago
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