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3 years ago

Which of the following equations would be appropriate to solve:

Mathematics

1 answer:

LenKa [72]3 years ago

4 0

Answer:

The correct expression to represent the three consecutive integers whose sum is 21 will be:

a + (a+1) + (a+2) = 21

Step-by-step explanation:

Let 'a' be the first number

a + (a+1) + (a+2) are the three consecutive integers.

Given that the sum of three consecutive integers is 21.

a + (a+1) + (a+2) = 21

3a + 3 = 21

subtracting 3 from both sides

3a + 3 - 3 = 21 - 3

3a = 18

a = 6

Therefore, the correct expression to represent the three consecutive integers whose sum is 21 will be:

a + (a+1) + (a+2) = 21

<em>Note: your option answers are a little unclear, but I hope you may have got an idea about this concept.</em>

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Choose the correct conic section to fit the equation. X=1/16y^2

arsen [322]

Hello from MrBillDoesMath!

Answer:

Parabola

Discussion:

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4 years ago

What is the value of x in the figure below?

Leviafan [203]

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SO C.45

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3 years ago

Mark had some money. He gave half of that to his brother and then he gave another $5 to his sister. He now has $20. How much mon

Wittaler [7]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

A ball is thrown straight up into the air from the top of a building standing at 50 feet with an initial velocity of 65 feet per

Lorico [155]

Answer:

0.5 seconds (at 100 feet in the air).

Step-by-step explanation:

So, the height of the ball can be modeled by the function:

$h(t)=-16t^2+16t+96$

Where h(t) represents the height in feet after t seconds.

And we want to find its maximum height.

Notice that our function is a quadratic.

Therefore, the maximum height will occur at the vertex of our function.

The vertex of a quadratic function in standard form is given by the formula:

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

In our function, a=-16; b=16; and c=96.

Find the x-coordinate of the vertex:

$x=-\frac{(16)}{2(-16)}=1/2$

So, the ball reaches its maximum height after 0.5 seconds of its projection.

Notes:

To find it’s maximum height, we can substitute 1/2 for our function and evaluate. So:

$h(1/2)=-16(1/2)^2+16(1/2)+96$

Evaluate:

$h(1/2)=-4+8+96=100$

So, the ball reaches its maximum height of 100 feet 0.5 seconds after its projection.

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3 years ago

Rozwiąż równania:<br> a) 7x − 28 = 7 b) 5,6 + 3x = −8,8 c) 11x − 7 − 3x = 25

Goryan [66]

hope this will help you

thanks

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3 years ago