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Sphinxa [80]
3 years ago
6

Matthew has 7 basketball cards, 8 baseball cards, and 9 football cards. If Matthew wants to separate the cards into two equal pi

les, how many cards will be in each pile?
Mathematics
2 answers:
just olya [345]3 years ago
8 0
7 + 8 + 9 = 24

24 / 2 = 12

So 12 cards in each pile.
Semenov [28]3 years ago
8 0
\dfrac{7+8+9}{2}=\dfrac{24}{2}=\boxed{12}
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What is the equation of a parabola that has a vertex at ( 0,4 ) and passes through points ( 2,0 )?
vlada-n [284]

Answer:

<u>y = -x² + 4</u>

Step-by-step explanation:

The equation of the parabola in the vertex form is:

y = a (x-h)² + k

Where: (h,k) the coordinates of the vertex & a is a multiplier

The parabola has a vertex at ( 0,4 )

So, h = 0 , k = 4

∴ y = a (x-0)² + 4

∴ y = a x² + 4

The parabola passes through points ( 2,0 )

∴ 0 = a 2² + 4

∴ 4 a = -4  ⇒ a = -4/4 = -1

∴ y = -x² + 4

So, the equation of a parabola that has a vertex at ( 0,4 ) and passes through points ( 2,0 ) is <u>y = -x² + 4</u>

See the attached figure.

4 0
3 years ago
Find the distance between the two points on the coordinate plane.
Jobisdone [24]

Answer:

10

Step-by-step explanation:

Assuming that each square is one unit, you plug it into the distance formula.

4 0
2 years ago
The table below shows 6 students' overall averages and their averages
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Answer:

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3 0
2 years ago
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The height, h, in feet of a rock above the ground is given by the equation h = -16t^2 + 24t + 16, where t is the time in seconds
boyakko [2]

The rock will hit the ground at 2 seconds.

Explanation:

Given that the height, h, in feet of a rock above the ground is given by the equation h=-16t^2+24t+16, where t is the time in seconds after the rock is thrown.

We need to determine the time at which the rock will hit the ground.

To determine the time, let us equate the height h = 0 in the equation h=-16t^2+24t+16, we get,

0=-16t^2+24t+16

Switch sides, we have,

-16 t^{2}+24 t+16=0

Let us solve the equation using the quadratic formula.

Thus, we have,

t=\frac{-24 \pm \sqrt{24^{2}-4(-16) 16}}{2(-16)}

Simplifying, we get,

t=\frac{-24 \pm \sqrt{576+1024}}{-32}

t=\frac{-24 \pm \sqrt{1600}}{-32}

t=\frac{-24 \pm 40}{-32}

Hence, the two values of t are

t=\frac{-24 + 40}{-32}   and   t=\frac{-24 -40}{-32}

Simplifying the values, we get,

t=\frac{16}{-32}  and  t=\frac{-64}{-32}

Dividing, we get,

t=-\frac{1}{2}  and  t=2

Since, t cannot negative values, we have,

t=2

Thus, the rock will hit the ground at 2 seconds.

8 0
3 years ago
Using the figure below, select the pair(s) of supplementary angles. (HINT** they may be more than 1 correct answer)
kondor19780726 [428]

Answer:

B, D

Step-by-step explanation:

Supplementary Angles: Add up to 180 degrees

Angle abe and Angle Ebc add up to 180 degrees

Angle ABD and Angle DBC add up to 180 degrees

3 0
3 years ago
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