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3 years ago

What are the roots of y = x2 – 3x – 10?

Mathematics

1 answer:

alukav5142 [94]3 years ago

4 0

Answer:

5 and -2

Step-by-step explanation:

We will simplify it to y=(x-5)(x+2)

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Please help me out it would be greatly appreciated

Dmitry_Shevchenko [17]

The area of the given parallelogram is 120.

Step-by-step explanation:

Step 1:

The parameters needed to determine the area of a parallelogram are the base length and height.

The base length of this parallelogram is 15 inches while its height is 8 inches.

The area of a rectangle is determined by multiplying the base length with the height.

Step 2:

The area of the parallelogram $= (b)(h).$

Here the base length is 15 inches and the height is 8 inches.

The area of the parallelogram $=(15)(8) = 120.$

So the area of the given parallelogram is 120.

5 0

2 years ago

Dan is framing a picture of his baseball team.

katrin2010 [14]

D, as a frame goes around the entire photo, so having the perimeter would show the length of wood needed to surround the photo.

7 0

3 years ago

bob has 64 cups. could he distribute them into 6 equally in stacks and not have any left over? Explain

Iteru [2.4K]

Bob cannot distribute the cups in six equal stacks and not have any left over.

Step-by-step explanation:

In order to divide the total number of cups in six equal stacks with no left over, the total number of cups will be divided by 6, if there is any remainder then the cups cannot be equally divided with no left over.

Dividing 64 by 6

$= \frac{64}{6} \\= 10\frac{4}{6}$

Here

Quotient = 10

Remainder = 4

As there are 4 cups left, Bob cannot distribute the cups in six equal stacks and not have any left over.

Keywords: Division, fractions

Learn more about division at:

#LearnwithBrainly

8 0

2 years ago

Please help me im about to fail!!!! Express your answer in scientific notation.

Illusion [34]

Answer:

3.74 x 10^5

Step-by-step explanation:

First expand the term in scientific notation into normal notation.

3.3 x 10^5 - Here the ^5 tells us to move the decimal five places to the right, so we go from

3.30000 to

330000.00

So 3.3 x 10^5 = 330,000

Now add that to 44,000 and you get 374,000.

Return this number to scientific notation. Move the decimal back to its spot before the 3. We go from

374,000.00 to

3.74000

Once again the decimal has moved five places, so that is the number in the exponent of the our scientific notation, and therefore our answer is

3.74 x 10^5

3 0

2 years ago

The volume of a cone of radius r and height h is given by V=πr²h³. If the radius and the height both increase at a constant rate

Aloiza [94]

Answer:

The volume of cone is increasing at a rate 1808.64 cubic cm per second.

Step-by-step explanation:

We are given the following in the question:

$\dfrac{dr}{dt} = 12\text{ cm per sec}\\\\\dfrac{dh}{dt} = 12\text{ cm per sec}$

Volume of cone =

$V = \dfrac{1}{3}\pi r^2 h$

where r is the radius and h is the height of the cone.

Instant height = 9 cm

Instant radius = 6 cm

Rate of change of volume =

$\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{1}{3}\pi r^2 h)\\\\\dfrac{dV}{dt} = \dfrac{\pi}{3}(2r\dfrac{dr}{dt}h + r^2\dfrac{dh}{dt})$

Putting values, we get,

$\dfrac{dV}{dt} = \dfrac{\pi}{3}(2(6)(12)(9) + (6)^2(12))\\\\\dfrac{dV}{dt} =1808.64\text{ cubic cm per second}$

Thus, the volume of cone is increasing at a rate 1808.64 cubic cm per second.

5 0

3 years ago