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3 years ago

What is the distance between (-2,2) and (2,-1) on coordinate plane

Mathematics

1 answer:

lawyer [7]3 years ago

6 0

Answer:

$d=\sqrt(x2-x1)^{2} + (y2-y1)^{2}$

Step-by-step explanation:

1- Identify the x and the y

x1= -2

x2=2

y1= 2

y2= -1

2- solve the equation:

d= $\sqrt\$ (2-(-2)) $^{2}$ + ((-1)-2) $^{2}$

d= $\sqrt$ (4) $^{2}$ + (-3) $^{2}$

= $\sqrt$ 16 + 9

= $\sqrt$ 25

d=5 answer

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Is.........................

butalik [34]

Answer:

x = -8.

Step-by-step explanation:

Now combine the x terms. We get x - 3y = 136 and 18x + 3y = -288.

Combining these two equations eliminates the y terms, leaving us with:

19x = -152. Solving for x, we get: x = -8. This corresponds to the second answer choice.

3 0

3 years ago

PLEASE HELPPPPPPPPPPPPPP

Firlakuza [10]

The correct answer is: -2x > 6!

-2x > 6

-2x / -2 > 6 / -2

x > -3

6 0

3 years ago

Sin(A+B) sin(A-B) /sin^A Cos^B=1-cot^A Tan^B

telo118 [61]

In order to prove

$\dfrac{\sin(x+y)\sin(x-y)}{\sin^2(x)\cos^2(x)}=1-\cot^2(x)\tan^2(y)$

Let's write both sides in terms of $\sin(x),\ \sin^2(x),\ \cos(x),\ \cos^2(x)$ only.

Let's start with the left hand side: we can use the formula for sum and subtraction of the sine to write

$\sin(x+y)=\cos(y)\sin(x)+\cos(x)\sin(y)$

and

$\sin(x-y)=\cos(y)\sin(x)-\cos(x)\sin(y)$

So, their multiplication is

$\sin(x+y)\sin(x-y)=(\cos(y)\sin(x))^2-(\cos(x)\sin(y))^2\\=\cos^2(y)\sin^2(x)-\cos^2(x)\sin^2(y)$

So, the left hand side simplifies to

$\dfrac{\cos^2(y)\sin^2(x)-\cos^2(x)\sin^2(y)}{\sin^2(x)\cos^2(y)}$

Now, on with the right hand side. We have

$1-\cot^2(x)\tan^2(y)=1-\dfrac{\cos^2(x)}{\sin^2(x)}\cdot\dfrac{\sin^2(y)}{\cos^2(y)} = 1-\dfrac{\cos^2(x)\sin^2(y)}{\sin^2(x)\cos^2(y)}$

Now simply make this expression one fraction:

$1-\dfrac{\cos^2(x)\sin^2(y)}{\sin^2(x)\cos^2(y)}=\dfrac{\sin^2(x)\cos^2(y)-\cos^2(x)\sin^2(y)}{\sin^2(x)\cos^2(y)}$

And as you can see, the two sides are equal.

6 0

4 years ago

Paul is going to have the exterior of his home painted. Painting USA charges $75.00 to come out and evaluate the house plus $25.

Sladkaya [172]

Answer:

The most cost effective company will be Painting USA that charge $700 to paint Paul house .

As given

Paul is going to have the exterior of his home painted.

Painting USA charges $75.00 to come out and evaluate the house plus $25.00 per hour of labor.

If it takes 25 hours to paint Paul’s house.

Total amount charge by Painting USA = Painting USA charges for come out and evaluate the house + Cost of per hour of labor × Total hours take to paint Paul house .

Total amount charge by Painting USA = 75 + 25 × 25

= 75 + 625

= $ 700

As given

Upscale Home Painting does not charge to evaluate the house. However, they charge $40.00 per hour.

Total amount charge by Upscale Home Painting = Cost of per hour of labor × Total hours take to paint Paul house

= 40 × 25

= $ 1000

Therefore the most cost effective company will be Painting USA that charge $700 to paint Paul house .

Step-by-step explanation:

4 0

3 years ago

Jimmy invests $500 in an account with a 3% interest rate, making no other deposits or withdrawals. What will Jimmy’s account bal

Anastaziya [24]

Answer:

Jimmy's account balance will be $673.43 after 10 years.

Step-by-step explanation:

The compound interest formula is given by:

$A = P(1 + \frac{r}{n})^{nt}$

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

In this problem, we have that:

$P = 500, r = 0.03, n = 2, t = 10$

What will Jimmy’s account balance be after 10 years if the interest is compounded 2 times each year?

$A = P(1 + \frac{r}{n})^{nt}$

$A = 500(1 + \frac{0.03}{2})^{2*10} = 673.43$

Jimmy's account balance will be $673.43 after 10 years.

4 0

3 years ago