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ziro4ka [17]
2 years ago
7

A line with slope

Mathematics
1 answer:
spayn [35]2 years ago
6 0

Answer:

(0, 8/3) = y-intercept

Step-by-step explanation:

I chose to find the y-intercept since it is easy to find with the given information.

The equation for a line is y = mx + b

To find the y-intercept, we must plug in the info we have and solve for b:

4 = -1/3 (-4) + b

4 = -4/3 + b

8/3 = b

To find a point on the line, you also could have added -1 to 4 and 3 to -4 since slope means rise/run or change in y/change in x:

(y - 1) / (x + 3) = (4 - 1) / (-4 + 3) = (3, -1) (flip since it's the y and x coordinate) = (-1, 3)

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ryzh [129]

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Answer:

  3/7

Step-by-step explanation:

The fraction is ...

  24\text{ g to }56\text{ g}=\dfrac{24\text{ g}}{56\text{ g}}=\dfrac{3}{7}\cdot\dfrac{8\text{ g}}{8\text{ g}}=\boxed{\dfrac{3}{7}}

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3 years ago
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In parallelogram LMNO, LM = 4.12, MN = 4, LN = 5, and OM = 6.4. Diagonals and intersect at point R. What is the length of OR?
satela [25.4K]

Answer: D. 3.2


Step-by-step explanation:

Given : In parallelogram LMNO,

LM = 4.12, MN = 4, LN = 5, and OM = 6.4.

Diagonals and intersect at point R.

We know that diagonals of a parallelogram bisect each other.

Since R is the intersection point of both diagonals.

⇒R is the mid point of OM.

Thus OR=\frac{OM}{2}

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3 years ago
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How much would $200 invested at 6% interest compounded annually be worth after 6 years? Round your answer to the nearest cent.
Neko [114]
A=P(1+ \frac{r}{n})^{nt}
A=future amount
P=present amount
r=rate in decimal form
n=number of times per year to be compounded
t=time in years

so
P=200
r=0.06
n=1
t=6

evaluate to find A
A=200(1+ \frac{0.06}{1})^{(1)(6)}
A=200P(1.06)^{6}
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(9x+13)^2=49

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Answer:

(0.5, 0.5)

Step-by-step explanation:

draw lines in the middle of each side and the points line up in one spot

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