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3 years ago

What is the step by step equation to solve 5 (y + 2/5) = -13

Mathematics

1 answer:

Temka [501]3 years ago

4 0

5( y + 2/5) = -13

Distribute the 5 by multiplying the 5 by each term inside the set of parentheses:

5y + 2 = -13

Subtract 2 from both sides:

5y = -15

Divide both sides by 5:

Y = 3

The answer is y = 3

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14. Identify what property of equality is used in the inequality2x < -6, to get x < -

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Step-by-step explanation:

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2 years ago

Dividing whole numbers 22 divided by 300

dezoksy [38]

Answer:

22 divided by 300 will be equal to 0.07333.

Step-by-step explanation:

Dividing 22 by 300

$\frac{22}{300}=\frac{2\times 11}{2\times 2\times 5\times 5\times 3}$

$\frac{22}{300}=\frac{11}{2\times 5\times 5\times 3}=\frac{11}{150}$

$\frac{11}{150}=\frac{11}{15}\times \frac{1}{10}$

The value of $\frac{11}{15}=0.7333$

$\frac{22}{300}=\frac{11}{150}=0.7333\times \frac{1}{10}=0.07333$

So, the value of 22 divided by 300 will be equal to 0.07333.

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3 years ago

Which of the following correlation coefficients would correspond to a strong linear relationship in a data set? a. 0 b. 7 c. 0.9

ahrayia [7]

<h3>Answer: c) 0.9</h3>

The correlation coefficient r is always between -1 and 1, inclusive of both endpoints. We can write $-1 \le r \le 1$

If r = 0, then we have no linear correlation at all. If r = 1, then we have perfect positive correlation. If r = -1, then we have perfect negative correlation.

We see that r = 0.9 is close to r = 1, so we have strong positive linear correlation going on here.

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3 years ago

Write the equation of the perpendicular bisector of AB if A(–6, –4) and B(2, 0).

iragen [17]

Answer:

Step-by-step explanation:

The equation of perpendicular bisector of A(-6, -4 ) and B(2, 0) is y = -2x - 6

Solution:

Given that we have to find the equation of perpendicular bisector of A(-6, -4 ) and B(2, 0)

A perpendicular bisector, bisects a line segment at right angles

To obtain the equation we require slope and a point on it

Find the midpoint and slope of the given points and then we can find the equation

Find the midpoint:

Given points are A(-6, -4 ) and B(2, 0)

The midpoint is given as:

Substituting the values we get,

Find the slope of given points:

Then the slope of perpendicular bisector is given as:

We know that product of slopes of given line and slope of line perpendicular to it is equal to -1

Let the slope of perpendicular bisector be

Find the equation of line with slope -2 and point (-2, -2)

The equation of line in slope intercept form is given as:

y = mx + c -------- eqn 1

Where "m" is the slope and "c" is the y - intercept

Substitute (x, y) = (-2, -2) and slope m = -2 in eqn 1

-2 = -2(-2) + c

-2 = 4 + c

c = -2 - 4

c = -6

Substitute c = -6 and m = -2 in eqn 1

y = -2x - 6

Thus the required equation of perpendicular bisector is found

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2 years ago

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Rewrite 8 2/5 as a decimal number

NISA [10]

It would be 8.4 or 8.40

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3 years ago

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