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2 years ago

How do I write an equation of a line that is parallel to 2x-3y=15

1 answer:

lina2011 [118]2 years ago

4 0

The line given is -2x + 3y = 15, so we must rearrange:

=> 3y = 2x + 15
=> y = 2/3 x + 5

These two equations are EQUIVALENT, but one is in slope intercept form, the other isn't.

So in this case, gradient is 2/3 (or 2 units up, and 3 units across).

And we know that parallel lines have the same gradient. Hence, the general equation for lines parallel to it will be:

y = 2/3 x + n

where n can be any number (positive/negative, decimal/fraction/integer) except 5, which is original line.

For example, y = 2/3 x + 2

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Which statements describe a residual plot for a line of best fit that is a good model for a scatterplot? Check all that apply.

Otrada [13]

Answer:

Options 1, 2, & 5 are the correct answers

Just did it

8 0

3 years ago

We draw a random sample of size 25 from a normal population with variance 2.4. If the sample mean is 12.5, what is a 99% confide

Helen [10]

Answer:

Step-by-step explanation:

Confidence interval for the population mean is expressed by the formula;

CI = xbar ± Z(S/√n) where;

xbar is the sample mean = 12.5

Z is the z score at 99% confidence = 2.576

S is the standard deviation = √variance

S = √2.4 = 1.5492

n is the sample size = 25

Substituting the given values into the formula given above,

CI = 12.5 ± 2.576(1.5492/√25)

CI = 12.5 ± 2.576(0.30984)

CI = 12.5 ± 0.7981

CI = (12.5-0.7981, 12.5+0.7981)

CI = (11.2019, 12.7981)

Hence the 99% confidence interval for the population mean is 11.2≤ $\mu$ 12.8 (to 1 decimal place)

7 0

3 years ago

Need help with math plz thank you

Alik [6]

Answer:

Step-by-step explanation:

law of sines

Sin(A) / a = Sin(B)/b

where A = 24

a=BC

B= 59

b =AB

then

Sin(24)/a =Sin(59)/19

0.4067366 / a = 0.8571673 / 19

0.4067366 / a = 0.045114

0.4067366 / 0.045114 = a

9.015 = a

BC = 9.0 mi

5 0

2 years ago

2x2 − 1 = 3x + 4 Which equation correctly applies the quadratic formula?

NNADVOKAT [17]

Standard form: ax^2 + bx + c = y

Steps to simplify:

2x^2 - 1 = 3x + 4

~Subtract (3x + 4) to both sides

2x^2 - 1 - 3x + 4 = 3x + 4 - 3x + 4

~Simplify

2x^2 - 3x - 5 = 0

(a = 2, b = -3, c = -5)

Now that we know what these values are, we can use the quadratic formula to solve.

$x=\frac{-b-+\sqrt{b^2-4ac} }{2a} \\x = \frac{-(-3)-+\sqrt{-3^2-4(2)(-5)} }{2(2)}\\x= \frac{-3-+\sqrt{49} }{4} \\x=\frac{3-+7}{4} \\x = \frac{10}{4}~or~\frac{-4}{4} \\x=\frac{5}{2}~or~-1$

Answer: x = 5/2 or x = -1

Best of Luck!

5 0

3 years ago

A study showed that 76% of the participants had good results using the drug. What fraction of the participants had good results?

mojhsa [17]

76/100
this can be simplified to 19/25

5 0

3 years ago