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Dominik [7]
3 years ago
9

Which equation represents the line that passes through (-3,5) and is parallel to the graph of y= -2/3x+5

Mathematics
1 answer:
Nostrana [21]3 years ago
4 0
Parallel to the graph of y = -2/3x + 5
means that it has the same slope

Rewrite
y = -2/3x + b
plug in the given coordinates to solve for b
5 = -2/3(-3) + b
5 = 2 + b
subtract 2 from both sides
3 = b

plug that back into the equation
y = -2/3x + b
y = -2/3x + 3

The answer is <span>B. y= -2/3x+3</span>

This line is parallel to y = -2/3x + 5 and it passes the point (3, 5).

Hope this helps :)
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Korolek [52]
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4 years ago
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In ΔVWX, the measure of ∠X=90°, XW = 36, WV = 85, and VX = 77. What ratio represents the sine of ∠W?
eimsori [14]

<u>Given</u>:

In ΔVWX, the measure of ∠X=90°, XW = 36, WV = 85, and VX = 77.

We need to determine the ratio that represents the sine of ∠W

<u>Ratio of sin of ∠W:</u>

The ratio of sin of ∠W can be determined using the trigonometric ratios.

The ratio of sin \ \theta is given by

sin \ \theta=\frac{opp}{hyp}

From the attached figure, the opposite side of ∠W is XV and the hypotenuse of ∠W is WV.

Hence, substituting in the above ratio, we get;

sin \ W=\frac{XV}{WV}

Substituting the values, we get;

sin \ W=\frac{77}{85}

Thus, the ratio of sine of ∠W is sin \ W=\frac{77}{85}

6 0
4 years ago
Help solve this problem please
grigory [225]
Change the left side to improper fractions.

9
--
4
====
3
--
2

Now use the fraction rule. Invert the denominator and multiply that by the numerator.

9       2
== * ==
4       3

18/12 = 3/2 which for now is left alone.

Now work with the fraction on the right side.
1 5/6 = 11/6 

Now equate the two results
27/8 = 11/6 // x/1

Simplify the right side
3/2 = 11/6 * 1 / x Remember to invert and multiply that's why you need the 1 underneath the x
3/2 = 11/6x Cross multiply
3* 6x = 11 * 2 
18 x = 22
18 x = 22
x = 11/9
x = 1.2222 

What are the choices or are there any? The other choice is x = 1.2222

x = 22/18 or 
x = 1.22222222 or 
x = 11/9

All three are possible and all three are correct and all three are equal. Since I do not have choices, I don't know which one will be acceptable.




Check 
I'll do this in decimals. It is much easier.
2.25/1.5 = 1.83333333 / 1.22222222
1.5 = 1.5 so these numbers do check.
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3 years ago
“Prudence, indeed, will dictate that Governments long established should not be changed for light and transient causes; and acco
m_a_m_a [10]
The correct answer should be B
7 0
4 years ago
Lily goes car shopping and finds two cars. The first one burns fossil fuel, gasoline, that sells for $18,000. It will cost $100
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Answer:

Cost to buy and run the first car for 5 years=$24000

Cost to buy and run the second car for 5 years=$26000

I think we should buy the first car, because It is cheaper to buy and maintain

Step-by-step explanation:

first car:

Cost $18000 to buy

Cost $100 to maintain each month

5years =5 x 12=60months

Cost to maintain for 60months=100x60=$6000

First car cost to buy and run over the 5 year period=18000+6000=$24000

Second car:

It cost $22400 to buy

Cost $60 to maintain each month

5years=60months

Cost to maintain for 60months is 60 x 60=$3600

Cost to buy and run over the second car for 5years is 22400+3600=$26000

4 0
4 years ago
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