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UkoKoshka [18]
4 years ago
12

8x+4y= 12; y solve the indicated variable

Mathematics
1 answer:
Daniel [21]4 years ago
4 0

Answer:

y=2x - 3

Step-by-step explanation:

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After a baseball is hit, the height h (in feet) of the ball above the ground t seconds after it is hit can be approximated by th
lubasha [3.4K]

Answer:

The ball will take 4.05 seconds to hit the ground.

Step-by-step explanation:

we have

h=-16t^{2}+64t+3

This is a quadratic equation (vertical parabola) open down

The vertex is a maximum

we know that

The ball hit the ground when h=0

Solve the quadratic equation

For h=0

-16t^{2}+64t+3=0

The formula to solve a quadratic equation of the form

at^{2} +bt+c=0 is equal to

t=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-16t^{2}+64t+3=0  

so

a=-16\\b=64\\c=3

substitute in the formula  

t=\frac{-64(+/-)\sqrt{64^{2}-4(-16)(3)}} {2(-16)}

t=\frac{-64(+/-)\sqrt{4,288}} {-32}

t=\frac{64(-)\sqrt{4,288}} {32}=-0.05\ sec  ---> the time cannot be a negative number

t=\frac{64(+)\sqrt{4,288}} {32}=4.05\ sec

therefore

The ball will take 4.05 seconds to hit the ground.

4 0
3 years ago
Round 452 to the nearest hundred
Anna007 [38]

Answer:

500

Step-by-step explanation:


6 0
3 years ago
2x squared minus 1 equals 21​
dlinn [17]

Answer:

x = √11

Step-by-step explanation:

2x² - 1 = 21

add 1 to both sides

2x² - 1 + 1 = 21 + 1

simplify

2x² = 22

x² = 22 / 2

x = √11

7 0
4 years ago
Read 2 more answers
Please help!!!<br><br><br>find the measure of the largest interior angle of this polygon ​
Karolina [17]

Answer:

122 or (3x-4).

Step-by-step explanation:

First, let's take a look at the polygon

The polygon has 5 sides.

We can calculate it's sum of interior angles by using (n-2)*180

Here, number of sides(n)=5

Therefore, (n-2)*180=(5-2)*180=3*180=540

Now that we got that out of the way, let's solve for x

2x+9+3x-8+3x-4+3x-10+2x+7=540

or,13x-6=540

or,13x=546

or,x=42

Now, solve for each interior angle,

2x+9=93

3x-8=118

3x-4=122

3x-10=116

2x+7=91

The largest here s 122 which is 3x-4.

SO, the largest interior angle=122 or (3x-4).

4 0
3 years ago
Jenna has a piece of paper that is 84 square inches in area. it is 10 1/2 inches long. what is the length of the piece of paper
11Alexandr11 [23.1K]
I hope this helps you

6 0
3 years ago
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