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2 years ago

Its for science but its got math involvedits got to do with speed, time, and distance

Mathematics

1 answer:

____ [38]2 years ago

8 0

1) centimeters/ cm 2) snail 2 traveled the greater distance 3) Snail 2 4) D=8 T=8 S=8 answer= 1
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8

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Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4

Alik [6]

Answer:

$\alpha=3$

Step-by-step explanation:

<u>Equation of a Circle</u>

A circle of radius r and centered on the point (h,k) can be expressed by the equation

$(x-h)^2+(y-k)^2=r^2$

We are given the equation of a circle as

$3x^2+3y^2-6\alpha x+12y-3\alpha=0$

Note we have corrected it by adding the square to the y. Simplify by 3

$x^2+y^2-2\alpha x+4y-\alpha=0$

Complete squares and rearrange:

$x^2-2\alpha x+y^2+4y=\alpha$

$x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4$

$(x-\alpha)^2+(y+2)^2=r^2$

We can see that, if r=4, then

$\alpha+\alpha^2+4=16$

Or, equivalently

$\alpha^2+\alpha-12=0$

There are two solutions for $\alpha$ :

$\alpha=-4,\ \alpha=3$

Keeping the positive solution, as required:

$\boxed{\alpha=3}$

8 0

3 years ago

Help pls..................

Triss [41]

Answer:

Area = 152ft²

Step-by-step explanation:

Simpifly:

A = 13(13-6) + 9(13-6)

A = 13(7) + 9(7)

A = 22(7)

A = 20(7)+2(7)

A = 140 + 14

A = 152

5 0

2 years ago

Violet made cookies for the bake sale. 7/10 of the cookies are chocolate chip. 3/4 of the remaining cookies are sugar. What frac

FromTheMoon [43]

We know that 7/10 of the cookies are chocolate chip, so that means there are 3/10 of the cookies left.
We now want to find what 3/4 of 3/10 is.
We can do this by multiplying both fractions
3/4x3/10 (we just multiply across) to get 9/40.
We cannot simplify this answer, so our final answer is 9/40 of the cookies are sugar cookies.

3 0

2 years ago

Rebecca is purchasing a house for $210,000, with a 15-year fixed-rate mortgage at 4.5% interest. She has made a 5% down payment.

levacccp [35]

I think the answer c

7 0

3 years ago

Read 2 more answers

Bulletin board is 8 feet long and 5 feet wide. How many feet of border does it need?

Musya8 [376]

8 × 5 = 40

So the border has to be 40 feet.

Hope this helps!

Work:

length × width = answer

length = 8
width = 5
answer = 40

7 0