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3 years ago

PLS HELP WILL MARK BRAINLIEST. IF GOTTEN RIGHT SHOW WORK

Mathematics

1 answer:

zalisa [80]3 years ago

3 0

9514 1404 393

Answer:

12 feet

Step-by-step explanation:

You seem to have a few of these, so let's find a generic solution.

The vertex form of a quadratic equation is ...

f(x) = a(x -h)² +k

When we expand that, we get ...

f(x) = a(x² -2hx +h²) +k = ax² -2ahx +ah² +k

Comparing this to your standard form quadratic ...

h(t) = -16t² +vx +s

we can see that ...

a = -16
-2ah = v
ah² +k = s

Solving for h and k, we get ...

(-2)(-16)h = v

h = v/32

and

k = s -ah² = s -(-16)(v/32)²

k = s +v²/64

So, the generic solution for these problems is ...

h = time to maximum height = v/32

k = maximum height = s +v²/64

This problem asks for the maximum height, which will be ...

s +v²/64 = 3 +24²/64 = 3 +9 = 12 . . . . feet

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Which of the following is equivalent to the inequality shown below?

VARVARA [1.3K]

Answer:

$4x + 0.9 \geq 0.1$ is equivalent to the inequality $40x+9 \geq 1$

Step-by-step explanation:

Given inequality : $4x + 0.9 \geq 0.1$

We are supposed to find Which of the following is equivalent to the inequality

$4x + 0.9 \geq 0.1$

$\Rightarrow 4x+\frac{9}{10} \geq \frac{1}{10}$

Multiply both sides by 10

$\Rightarrow 4(10)x+\frac{9}{10}(10) \geq \frac{1}{10}(10)$

$\Rightarrow 40x+9 \geq 1$

$4x + 0.9 \geq 0.1$ is equivalent to the inequality $40x+9 \geq 1$

So, Option B is true

B) $40x+9 \geq 1$

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4 years ago

-2 9 and -2 -5 slope

Nady [450]

Answer:

Step-by-step explanation:

-2 minus -2 = 0

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8 0

3 years ago

The sum of three numbers is 54. the third number is 2 times the first. the first number is 6 more than the second. what are the

vaieri [72.5K]

Hello!

To solve this, we will use a system of equations. We will have the numbers be represented by x, y, and z, where x will represent the first, y the second, and z the third.

x+y+z=54
z=2x
x=6+y

We know that x is equal to 6+y. We can plug this into the second equation to find z.

z=12+2y

Now we can plug these y values into the first equation to find y.

6+y+y+12+2y=54
18+4y=54
4y=36
y=9

Now we know the value of y. We can plug this into the equations to find the other values.

x=6+9
x=15

z=15(2)
z=30

Just to check, we will add them all up and see if they equal 64.

15+9+30=54

The first number is 15, the second is 9, and the third is 30.

I hope this helps!

4 0

3 years ago

5. A standard-size volleyball court has an

Fed [463]

Answer: The width of the court is 30 feet.

Step-by-step explanation:

We know that the area of a rectangle is given by :-

Area = length x width (1)

Given : A standard-size volleyball court has an area of 1,800 square feet.

The length of the court is 60 feet.

To find : The width of the court.

According to (1) , we have