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german
2 years ago
6

If x=-3 , y= -4, find x2 +y2 and x2 – y2

Mathematics
2 answers:
levacccp [35]2 years ago
7 0

Step-by-step explanation:

yesss that's rightttttttt

yan [13]2 years ago
5 0

Answer:

x^2+y^2 = 9+16 = 25

x^2-y^2 = 9-16 = -7

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Evaluate the expression<br><br> x^2 (y - 2)<br> —————, if x=3, and y= -1<br> 3y
vitfil [10]

Answer:

\huge\boxed{\sf 9}

Step-by-step explanation:

\displaystyle = \frac{x^2(y-2)}{3y} \\\\Put \ x = 3, \ y = -1\\\\= \frac{(3)^2(-1-2)}{3(-1)}\\\\= \frac{9(-3)}{-3} \\\\= 9 \\\\ \rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3><h3>Peace!</h3>
4 0
2 years ago
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7.Find the lengths of the missing sides in the triangle. If your answer is not an integer, leave it in simplest radical form. Th
Fed [463]

Here a right angled triangle given. one angle with measure 45^o given. The three sides of the triangle given 4, x, y.

We have to find, the sides which is opposite, adjacent and hypotenuse here.

We know that the side opposite to right angle is always hypotenuse. So, hypotenuyse = y.

The side adjacent to the given angle 45^o is x. So, here adjacent = x.

The opposite side is opposite to the given angle. So, opposite = 4.

Now we will use SOHCAHTOA that is sin(x) =\frac{Opposite}{Hypotenuse} , cos(x) =\frac{Adjacent}{Hypotenuse} , tan(x) =\frac{Opposite}{Adjacent}, where x is the angle given.

To get x, we will use tan. So we will get,

tan(45^o) = \frac{4}{x}

We know the value of tan(45^o) = 1. By substituting the value we will get,

1 =\frac{4}{x}

To find x, we have to move x here to the left side by multiplying it to both sides. We will get,

(1)(x) = (\frac{4}{x}) (x)

x = 4

So we have got the value of x here.

Now to find y, we will use the trigonometric function sine.

sin(45^o) =\frac{4}{y}

we know the value of sin(45^o) =\frac{\sqrt{2}}{2}

By substituting the value we will get,

\frac{\sqrt{2}}{2}  = \frac{4}{y}

By cross multiplying we will get,

(\sqrt{2}) (y) = (4)(2)

\sqrt{2}y = 8

We will get y by dividing both sides by \sqrt{2}, we will get,

\frac{\sqrt{2}y}{\sqrt{2}}   =\frac{8}{\sqrt{2} }

y =\frac{8}{\sqrt{2}  }

Now we will rationalize the denominator by multiplying \sqrt{2} to the top and bottom.

y =\frac{8\sqrt{2}}{(\sqrt{2})(\sqrt{2})}

y =\frac{8\sqrt{2}}{2}

y = 4\sqrt{2}

So we have got the required values of x and y.

8 0
3 years ago
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Please HELP ME WIL MARK AS BBRAINLIEST FOR ASAP
Fofino [41]

Answer:

6

Step-by-step explanation:

x(0.25) = 1.5

Because the scale factor is 0.25, or 1/4 we can reverse that to get 4/1. Then simply multiply 1.5 by 4!

3 0
3 years ago
The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial
GREYUIT [131]

Answer:

P(0) = 7,917

Step-by-step explanation:

The population of the community is given by the following formula:

P(t) = P(0)(1+r)^{t}

In which P(0) is the initial population and r is the growth rate.

The initial population P0 has doubled in 5 years.

This means that

P(5) = 2P(0)

Which lets us find r.

P(t) = P(0)(1+r)^{t}

2P(0) = P(0)(1+r)^{5}

(1+r)^{5} = 2

Applying the 5th root to both sides

1+r = 1.1487

r = 0.1487

So

P(t) = P(0)(1.1487)^{t}

Suppose it is known that the population is 12,000 after 3 years.

With this, we find P(0)

P(t) = P(0)(1.1487)^{t}

12000 = P(0)(1.1487)^{3}

1.5157P(0) = 12000

P(0) = \frac{12000}{1.5157}

P(0) = 7917

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3 years ago
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andrey2020 [161]

Answer:

9

Step-by-step explanation:

Hope this helps! Have a nice day! Please consider making me Brainliest!

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