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3 years ago

Which expressions represent the distance between the two points?

Mathematics

1 answer:

DerKrebs [107]3 years ago

3 0

For the given question above, options A, C and D are the correct expressions that represent the distance between the two points (-11 and +7). I hope this helps. Looking forward to help you again.

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Y=4x-6 and passes through point 8,12

umka2103 [35]

Answer:

Slope of required line if both lines are parallel: y=4x-20

Slope of required line if both lines are perpendicular: y=-1/4x+14

Step-by-step explanation:

We need to find equation of line while we are given another line having equation y=4x-6 and passes through point (8,12)

Note: Since it is not given if the required line is parallel or perpendicular to the given line. I will solve for both cases.

If Both lines are parallel the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are parallel there slopes are same

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=4

Now finding y-intercept

Using slope m=4 and point (8,12) we can find y-intercept

$y=mx+b\\12=4(8)+b\\12=32+b\\b=12-32\\b=-20$

y-intercept of new line is: b=-20

Equation of required line having slope m=4 and y-intercept b=-20 is

$y=mx+b\\y=4x-20$

If Both lines are perpendicular the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are perpendicular there slopes are opposite of each other

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=-1/4

Now finding y-intercept

Using slope m=-1/4 and point (8,12) we can find y-intercept

$y=mx+b\\12=-\frac{1}{4} (8)+b\\12=-2+b\\b=12+2\\b=14$

y-intercept of new line is: b=14

Equation of required line having slope m=-1/4 and y-intercept b=14 is

$y=mx+b\\y=-\frac{1}{4} x+14$

8 0

2 years ago

An employee earned $3,300 working for an employer in the current year. the current rate for fica social security is 6.2% payable

spin [16.1K]

Employer's Total FICA Tax = $3,300 * (0.062 + 0.0145) = $252.45

7 0

3 years ago

I’ve been trying sooo hard to get this and i can’t, please help

Greeley [361]

Should be 37 if you use Pythagorean theorem!

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3 years ago

If berry has 30 ounces of coke and sells each ounce for 8 bucks an ounce how many ounces do you get if you spend 13 dollars on c

pentagon [3]

Answer would be $104

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3 years ago

Jessica purchased a DVD that was on sale for 12% off. The sales tax in her county is 3%. Let y represent the original price of t

Pepsi [2]

Answer:

0.88%y + 0.03%

Step-by-step explanation:

if it's 12% then: she's actually paid 88% with a tax of 3%.

4 0

3 years ago

Read 2 more answers