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Naddik [55]
2 years ago
12

How many solutions does the following system of equations have y=2x+2 & 2y=4x+4

Mathematics
1 answer:
iren [92.7K]2 years ago
3 0

Answer:

y=2x + 2

0= 2x +2

-2x = 2

x= -1

Step-by-step explanation:

2y = 4x +4

2y -4x =4

y-2x =2

-2x +y =2

2x-y=-2

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How do I find the answers to 17, 19, and 20?
Irina18 [472]

Answer:

17. 6

18. 18 (as shown)

19. 10/3 = 3 1/3

20. 20/3 = 6 2/3

Step-by-step explanation:

17. For this, you can subtract the given length GB=12 from the length you found for problem 18, BF=18. Doing that tells you FG = 18-12 = 6, as you have marked on the diagram.

19. As with median BF, the point G divides it into two parts that have the ratio 1:2. The distance from G to D is the shorter of the distances, so you have ...

... GD = (1/3) CD = (1/3)·10 = 10/3

... GD = 3 1/3

20. You can subtract GD from CD to get CG, or you can multiply CD by 2/3. The result is the same either way.

... CG = CD -GD = 10 -3 1/3

... CG = 6 2/3

_____

<em>Comment on centroid and median</em>

The centroid (G) divides each median into parts in the ratio 1:2. Hence the shorter of those parts is half the length of the longer one, or 1/3 the total length of the median.

The longer of the parts is double the length of the shorter one, or 2/3 the total length of the median.

Your marking of median BF seems to show an understanding of these relationships. (Total length: 18; length of parts: 6 and 12.)

3 0
3 years ago
Find the velocity in meters per second of a baseball thrown 38m from third base in 1.7s
frosja888 [35]
1.7 s<span>, then the </span>velocity<span> of the </span>baseball<span> is 22.35 </span>m/s<span> toward first base. hope this helps.</span>
3 0
2 years ago
Need help with number 3 inequalities with variables on both sides
Volgvan

Answer:

x ≤ 2

Step-by-step explanation:

We are given the inequality:

\displaystyle{2x-3 \leq \dfrac{x}{2}}

First, get rid of the denominator by multiplying both sides by 2:

\displaystyle{2x\cdot 2-3\cdot 2 \leq \dfrac{x}{2}\cdot 2}\\\\\displaystyle{4x-6 \leq x}

Add both sides by 6 then subtract both sides by x:

\displaystyle{4x-6+6 \leq x+6}\\\\\displaystyle{4x \leq x+6}\\\\\displaystyle{4x-x \leq x+6-x}\\\\\displaystyle{4x-x \leq 6}\\\\\displaystyle{3x \leq 6}

Then divide both sides by 3:

\displaystyle{\dfrac{3x}{3} \leq \dfrac{6}{3}}\\\\\displaystyle{x \leq 2}

Therefore, the answer is x ≤ 2

5 0
1 year ago
Read 2 more answers
Help me out please .
Marta_Voda [28]
I’m pretty sure it’s A but it could also me C
Hopes it right.
6 0
3 years ago
Read 2 more answers
Brittany is a scientist.She is recording the number of cells in a dish.After each hour,the cell divides into four cells.The sequ
mart [117]

Answer:

4^n-1

Step-by-step explanation:

So given sequence is a geometric sequence where terms increase or decrease by a constant common ratio(r)

Formula to find terms in Geometric sequence is " ar^n-1 where a is first term , r is common ratio and n is number of items

In this case , first term (a) is 1 , common ratio(r) is succeeding term/preceding term = 4/1 = 4 and number of items be (n).

Applying "ar^n-1 " we get,

1*4^n-1 which is , 4^n-1

Thats the formula which represents the situation....

3 0
2 years ago
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