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AysviL [449]
3 years ago
5

For a-d, choose Yes or No to tell whether 3 is the greatest common factor of the terms in each expression.

Mathematics
1 answer:
lina2011 [118]3 years ago
6 0

Answer:

1. no

2. no

3.  yes

4.  no

Step-by-step explanation:

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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
Are 4:6 and 8:10 proportional
wolverine [178]

Answer:

No, they are not.

Step-by-step explanation: can I get brainlest?

3 0
3 years ago
Read 2 more answers
2x + 3y = 15<br> x + y = 6<br> Work out the values of x and y.
Igoryamba

Answer:

x is 3

and

y is 3

Step-by-step explanation:

(2*3)+(3*3) = 15

6+9 = 15

6 0
3 years ago
If Carl takes a pizza with 8 slices and has three friends eat a slice, what fraction of the pizza is left?
murzikaleks [220]
Ok so the wording is confusing

is it
A. 3 friends took 1 slice each (total is 3 slice) or
B. 3 friends took 1 slice total

if A, go to AAAAAA
if B. to to BBBBB


AAAAAAAAAA
3 slices taken
fraction is parts out of whole
what is left
left=original-taken
taken=3
original=8
8-3=5
5=left
fraction is 5/total=5/8


BBBBBB
taken=1
fraction is parts out of whole
what is left
left=original-taken
taken=1
original=8
8-1=7
7=left
fraction is 7/total=7/8





if 3 slices taken total then 5/8 left
if 1 slice taken totl then 7/8 left
8 0
3 years ago
Read 2 more answers
4.25 rounded to the nearest tenths place
musickatia [10]

4.3  

5 or more raise the score

4 or less let it rest

4 0
3 years ago
Read 2 more answers
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