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3 years ago

16 increased by twice a number is -24 what is the solution?

Mathematics

1 answer:

Lynna [10]3 years ago

3 0

Let x = the number.

"increased by" tells you we are adding.

"twice a number" tells you 2 times a number.

16 + 2x = - 24

Subtract 16 from both sides so that we have the variable on one sides and the constants on the other.

2x = - 24 - 16

2x = - 40

Divide by 2 to isolate the variable.

x = - 40/2 = - 20

Your solution is - 20.

To check your answer, plug in.

16 + 2(-20) = - 24

16 - 40 = - 24

- 24 = - 24

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Consider the line y=5x -3 Find the equation of the line that is patellar to this line and passes through the point (-8, -3) Cons

Lynna [10]

Answer:

The equation of the line that is parallel to given line and passes through the point (-8, -3) is: $y = 5x+37$

Step-by-step explanation:

Given equation of line is:

$y=5x-3$

The general form of equation of line in slope-intercept form is written as:

$y = mx+b$

Here m(co-efficient of x) is the slope of the line and b is the y-intercept.

Comparing the given equation with the general form we get

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Two parallel lines have same slope so the slope of any line parallel to given line will also be 5.

Let m1 be the slope of required line parallel to y=5x-3

Then m1=5

Putting in general form

$y = m_1x+b$

$y=5x+b$

To find the value of b(y-intercept) the given point has to be put in the equation from which the line passes.

The point is (-8,-3)

$-3 = 5(-8)+b\\-3 = -40+b\\b = -3+40\\b = 37$

Putting the value of b and m1, we get

$y = 5x+37$

Hence,

The equation of the line that is parallel to given line and passes through the point (-8, -3) is: $y = 5x+37$

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~JZ
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