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4 years ago

(25 POINTS!!)What is the equation of the line that passes through the points (15,9) and (-2,9)?

2 answers:

dsp734 years ago

8 0

$\text{d stands for distance between two points} \\d(A, B)=\sqrt{(\Delta{x})^2+(\Delta{y})^2} \\\text{or simply} \\d(A, B)=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\text{now put in the data} \\d(A, B)=\sqrt{(-2-15)^2+(9-9)^2} \\d(A, B)=\sqrt{(-17)^2} \\d(A, B)=\boxed{17} \\$

Viktor [21]4 years ago

5 0

Let's use the point-slope formula...

y-y1=m(x-x1)

m is the slope.

y--9=7(x--2)

Subtracting a negative number is the same as adding a positive number...

y+9=7(x+2)

y+9=7x+14

Let's subtract 9 from both sides...

-9+y+9=7x+14-9

y=7x+5

The formula is now in the format of...

y=mx+b

This is known as slope-intercept.

m is the slope.

b is the y-intercept, the value of y when x=0.

Standard formula is...

Ax+By=C

Neither A nor B equal zero.

A is greater than zero.

y=7x+5

Let's move 7x to the left side of the equation. It becomes negative.

-7x+y=5

Let's multiply both sides by -1 to render A greater than zero.

-1(-7x+y)=(5)(-1)

7x-y=-5 

This is the equation in standard form.

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Graph the solution of 2 ≥ 4 - v

In-s [12.5K]

Hello user

To solve for V we simplify both sides of the equation then isolate the variable to get v ≥ 2

Therefor the answer is: v ≥ 2

I hope this helped
-Chris

6 0

3 years ago

What is the area of the shaded segment?

Whitepunk [10]

Answer:

$6\pi-9\sqrt{3$

Step-by-step explanation:

The area of a pie-slice shape can be found with the equation $A=\pi nr^2/360$ where n is the angle of the shape and r is the radius of the circle. In this case, n=60 and r=6. Therefore, the total area of the pie-slice is $\pi (60)(6^2)/360=6 \pi$

Next, the triangle that makes up the unshaded part of the segment is an equilateral triangle because the angle is 60. The area of an equilateral triangle is $\sqrt{3}r^2/4$ where r is the length of one of its side (in this case, r=6). Plugging that in, we get an area of $9 \sqrt{3}$

Finally, the area of the shaded is the area of the pie-slice minus the area of the triangle: $6\pi-9\sqrt{3$

8 0

3 years ago

Molly has $500 in her savings account. She owes her parents $100 for a new outfit. She also owes her brother $25. What is her cu

Inessa [10]

Answer: His net worth is $375

Step-by-step explanation:

Since, Net worth = Total assets - total liabilities

And, here the total assets of Molly = the money she has in her saving account

= $500

Also, according to the question,

She owes her parents $100 and her brother $25.

Therefore, total liability of her = 100 + 25 = $125

Thus, Her net worth= 500 - 125 = $375

3 0

4 years ago

What is the measure of b in degrees?

Olin [163]

Answer:

the measure of b in degrees is 32°

8 0

3 years ago

Read 2 more answers

A pig farmer owns a 20-arce farm and started business with 16 pigs. After one year, he has 421 pigs. Assuming a constant growth

IRISSAK [1]

Answer:

The correct answer is 206550 pigs.

Step-by-step explanation:

First of all you need to calculate the constant growth rate, which is given by the formula $p=((\frac{f}{s} )^{\frac{1}{y} } -1)*100$ where f is the value at the end of the year, s is the start value of that year, and y is the number of years.

From the excercise facts, we know that for 1 year (y=1), the final value is 421 (f=421), and the start value is 16 (s=16). Replacing them in the formula we get : $((\frac{421}{16}) ^{\frac{1}{1} } -1)*100 = 2531.25$ So, the constant growth rate equals 2531.25.

Next, we have to multiply the starting amount of pigs times the constant growth rate times the amount of time that passed to get the final quantity of pigs. This would be $16*2531.25*5.1$ and this gives us a total amount of 206550 pigs.

Have a nice day.

4 0

3 years ago