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3 years ago

What is the equation of the line shown below?

Mathematics

1 answer:

hoa [83]3 years ago

5 0

Answer:

The equation of line in SLOPE INTERCEPT is y = x -1

Step-by-step explanation:

Here, two points given on the line equation are

A(5,4) and B(-4,-5)

Now The slope of the line AB = $m = \frac{y_2 - y_1}{x_2 - x_1}$

or, $m = \frac{-5 -4}{-4 -5} = \frac{-9}{-9} = 1$

⇒ the slope of AB is m = 1

By SLOPE INTERCEPT FORMULA:

The equation of a line with slope m and a point (x0, y0) is given as

(y-y0)= m (x-x0)

⇒ The equation of line with point (5,4) is:

(y - 4) = (1) (x -5)

or, y - 4 = x - 5

⇒ y = x - 5 + 4

Now, SLOPE INTERCEPT FORM of a line equation is y = mx + c

⇒ y = x -1

Hence, the equation of line in SLOPE INTERCEPT is y = x -1

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What is the change that occurs to the parent function f(x) = x^2 given the function f(x) = 2(x + 2)^2 + 1.

nikitadnepr [17]

Answer:

The graph is stretched by a factor of 2, moves 2 units to the left, and 1 unit up.

Step-by-step explanation:

The base of the quadratic function is

$f(x) = {x}^{2}$

We can transform this function to look narrower or wider.

Looking narrower is termed a stretch.

This happens when a>1

Looking wider is termed a compression.

This happens when 0<a<1

We can also

$g(x) = a {(x + h)}^{2} + k$

+h moves the parent graph to the left by h units

-h moves the parent graph to the left by h units.

+ k moves the parent function up by k units

- k moves the parent function down by k units.

The change that occurs to

$f(x) = {x}^{2}$

given

$f(x) = 2( {x + 2)}^{2} + 1$

is that, the graph is stretched by a factor of 2, moves 2 units to the left, and 1 unit up

Therefore the last choice is the correct answer.

3 0

3 years ago

25) Margie needs to borrow $9,000 from a local bank. The

azamat

Answer:

B) $3060.00

Step-by-step explanation:

8.5% of 9,000 equals 765, then 765 multiplied by 4 equals 3060.

I think that it will take Margie 4 years to pay back the bank. And the interest rate that the bank charges is 8.5% per month.

I'm not sure if this is correct

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3 years ago

Two workers finished a job in 12 days. How long would it take each worker to do the job by himself if one of the workers needs 1

Lorico [155]

Two workers finished a job in 7.5 days.

How long would it take each worker to do the job by himself if one of the workers needs 8 more days to finish the job than the other worker?

let t = time required by one worker to complete the job alone

then

(t+8) = time required by the other worker (shirker)

let the completed job = 1

A typical shared work equation

7.5%2Ft + 7.5%2F%28%28t%2B8%29%29 = 1

multiply by t(t+8), cancel the denominators, and you have

7.5(t+8) + 7.5t = t(t+8)

7.5t + 60 + 7.5t = t^2 + 8t

15t + 60 = t^2 + 8t

form a quadratic equation on the right

0 = t^2 + 8t - 15t - 60

t^2 - 7t - 60 = 0

Factor easily to

(t-12) (t+5) = 0

the positive solution is all we want here

t = 12 days, the first guy working alone

then

the shirker would struggle thru the job in 20 days.

8 0

2 years ago

Read 2 more answers

HELP PLEASE!!!!

Anestetic [448]

To find her take home pay, you subtract her deductions from her gross pay and then divide her take-home pay by her gross pay and then multiply by 100%.
So,
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So your answer is B)79%
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3 years ago

There were some gumballs in a bag. Mrs. Roxas

Mekhanik [1.2K]

Step-by-step explanation:

$6 \times \frac{3}{2} \times \frac{4}{1} = 36$

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2 years ago