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3 years ago

10)

Mathematics

1 answer:

Hitman42 [59]3 years ago

4 0

I think the answer is B

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A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-

seropon [69]

Answer:

The equation of the line in point-slope form is $y-21 = - \frac{3}{2}\cdot (x-14)$ .

Step-by-step explanation:

According to the statement, let $A(x,y) = (14,21)$ and $B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})$ . The equation of the line in point-slope form is defined by the following formula:

$y-y_{A} = m\cdot (x-x_{A})$ (1)

Where:

$x_{A}$ , $y_{A}$ - Coordinates of the point A, dimensionless.

$m$ - Slope, dimensionless.

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

$m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}$ (2)

If we know that $x_{A} = 14$ and $y_{A} = 21$ , then the equation of the line in point-slope form is:

$x_{B} = 1.25\cdot (14)$

$x_{B} = 17.5$

$y_{B} = 0.75\cdot (21)$

$y_{B} = 15.75$

From (2):

$m = \frac{15.75-21}{17.5-14}$

$m = -\frac{3}{2}$

By (1):

$y-21 = - \frac{3}{2}\cdot (x-14)$

The equation of the line in point-slope form is $y-21 = - \frac{3}{2}\cdot (x-14)$ .

5 0

3 years ago

What is the answer to 3/5(10x-1/3)-x+6/5

seraphim [82]

Answer:

5x + 1

Step-by-step explanation:

7 0

2 years ago

1400 dollars is placed in an account with an annual interest rate of 5.5%. to the nearest year, how long will it take for the ac

olga_2 [115]

It will take 19 years and 6 months for the account value to reach 2900 dollars

Step-by-step explanation:

Given

Principal amount = 1400 dollars

Rate = 5.5 %

Final value = A = 2900

We have to find t

So,

The formula for simple interest is:

$A = P(1+rt)$

Putting values

$2900 = 1400(1+0.055.t)\\\frac{2900}[1400} = 1+0.055t\\2.071 = 1+0.055t\\2.071-1=0.055t\\1.071 =0.055t$

Dividing both sides by 0.055

$\frac{0.055t}{0.055} = \frac{1.071}{0.055}\\t = 19.47\ years$

Rounding off to nearest tenth

19.5 years

Hence,

It will take 19 years and 6 months for the account value to reach 2900 dollars

Keywords: Interest, simple interest

Learn more about interest at:

#LearnwithBrainly

6 0

3 years ago

A number increased by 9 is 13

Alborosie

Answer:

Step-by-step explanation:

To find the number you have to reverse the equation

Let us call the number "x"

x + 9 = 13

So to find x we flip the equation

13 - 9 = x

Solve it

4 = x

So the missing number is 4

6 0

3 years ago

Nvm. ...................

MA_775_DIABLO [31]

Answer:

????

Step-by-step explanation:

well thanks for the free points :)

6 0

2 years ago