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3 years ago

Please help me in math. Write an equation of the parabola shown.

Mathematics

1 answer:

Rama09 [41]3 years ago

5 0

Answer:

$y = \frac{1 }{8} {(x + 3)}^{2}$

Step-by-step explanation:

$y = a(x - h)^{2} + k \\ y = a(x - ( - 3))^{2} + 0 \\ using \: points \: (1 ,\: 2) \\ 2 = a {(1 - ( - 3))}^{2} \\ 2 = a{4}^{2} \\ 16a = 2 \\ \boxed{ a = \frac{1}{8} } \\ hence \to \\ y = \frac{1}{8} (x - ( - 3))^{2} \\ y = \frac{{(x + 3)}^{2} }{8}$

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you have 4500 cubic centimeters of wax. how many cylindrical candles can you make from the wax if each candle is 15 cm tall and

ira [324]

Use the formula for the volume of a cylinder to work out how much wax you need to make one candle.

π×5²×15 = 375π

Then divide the amount of wax you have by the amount of wax you need to produce one candle to work out how many candles you can make.

4500 ÷ 375π = 3.82

However, you can't produce 82% of a candle, so you have to round down to 3 candles.

8 0

3 years ago

-1+5/4x=-16<br> What number is x representing?

ValentinkaMS [17]

Answer:

x = -12,

Step-by-step explanation:

-1 + 5/4x = -16

5/4 x = -16 + 1

5/4 x = -15

x = -15 * 4/5

x = -12.

5 0

4 years ago

Lilliana is training for a marathon. She runs the same distance every day for a week. On Monday, Wednesday, and Friday, she runs

Allushta [10]

answer:6

WEDNESDAY + FRIDAY (# OF MILES)

The Miles Covered by Each Lap = 3x

The Miles on Top of That = 6

TUESDAY + SUNDAY (# OF MILES)

The Miles Covered by Each Lap = 5x

The Miles on Top of That = 2

Step-by-step explanation:

6 0

3 years ago

Pls work out and give detail. Use the slope formula to determine the slope of each line.

kolbaska11 [484]

Answer:

$m=0$

Step-by-step explanation:

Given

See attachment

Required

Determine the slope of the line

From the attachment, we have the following points

$(x_1,y_1) = (-4,1)$

and

$(x_2,y_2) = (3,1)$

The slope m is then calculated using:

$m = \frac{y_2- y_1}{x_2 - x_1}$

Substitute values for the x's and y's

$m = \frac{1-1}{3 - (-4)}$

$m = \frac{1-1}{3 +4}$

$m = \frac{0}{7}$

$m=0$

<em>Hence, the slope is 0</em>

7 0

3 years ago

Pleaseeeeeeeeeeeeeee help

Artyom0805 [142]

We can use Triangle Inequality Theorem, the length of the third side of a triangle must always be between (but not equal to) the sum and the difference of the other two sides.

4.1 - 1.3 < x < 4.1 + 1.3
2.8 < x < 5.7

so, the answer is 2.8 < x < 5.7

7 0

2 years ago