All categories

2 years ago

Suppose PQ has one endpoint at

Mathematics

1 answer:

klio [65]2 years ago

5 0

Step-by-step explanation:

The midpoint can be found with the formula.

midpoint = (x1+x2) /2 , (y1 + y2 )/2

( x1 , y1), and (x2 , y2 ) are the coordinates of two points, and the midpoint is a point lying equidistant and between these two points.

P = (0,0)

midpoint = (2,5)

x midpoint = 2 = (0+ x2)/2

×2 = 4

y midpoint = 5 = (y2+0 )/2

10 = y2

so the point Q is (4 , 10)

You might be interested in

Anisha invested $8,000 in an account that earns 10% interest How much money will she have in 15 years of the interest is compoun

tamaranim1 [39]

Answer:

A = $35,198.32

Step-by-step explanation:

Use the formula to calculate compound interest:

A = P(1 + i)ⁿ

"A" for total amount after the time period

"P" for principal, or starting money

"i" for the interest rate in a compounding period

To calculate "i":

i = r / c

"n" for the number of compounding periods

To calculate "n":

n = tc

So, we can combine the formulas into:

$A = P(1+\frac{r}{c})^{tc}$

"c" is the compounding periods in a year. (quarterly = 4)

We know:

P = 8000

r = 10% / 100 = 0.1

t = 15

c = 4

Substitute the information in the formula.

$A = P(1+\frac{r}{c})^{tc}$

$A = 8000(1+\frac{0.1}{4})^{15*4}$ Solve "i" and "n"

$A = 8000(1+0.025)^{60}$ Solve inside the brackets

$A = 8000(1.025)^{60}$ Do the exponent before multiplying by 8000

A = 35198.318 Exact answer

A ≈ 35198.32 Round to two decimal places for money

Therefore she will have $35,198.32 after 15 years.

5 0

3 years ago

12 cm 6 cm What is the area of this

Ahat [919]

Answer:

If it's a rectangle, then:

12 x 6 = 72 cm²

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

I need help!!! y=x-7 y=6 simplify the answer as much as possible

Alla [95]

Answer:

x=13 and y =6

Step-by-step explanation:

y=x-7

y=6

Substitute y=6 into the first equation

6 = x-7

Add 7 to each side

6+7= x-7+7

13 = x

x=13 and y =6

5 0

2 years ago

Read 2 more answers

3y to the power of 2 +6y+2y

Dafna1 [17]

Answer:

3y2 + 8y

Step-by-step explanation:

3y2 + 6y + 2y

3y2 + 8y

7 0

3 years ago

Please help. URGENT. THANK YOU

adelina 88 [10]

Answer:

Step-by-step explanation:

The maximum value of the sin function is at $\dfrac{\pi}{2}$ , when sin is equal to 1. Since you need to multiply pi/12 by 6 to get to pi/2, the maximum amount of people will be at the square after 6 hours. Hope this helps!

4 0

3 years ago