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3 years ago

15

Find the distance, to the nearest tenth, from R(7, –7) to U(–3, 2).

1 answer:

charle [14.2K]3 years ago

4 0

Answer:

<h2>The answer is 13.5 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x_1 - x_2})^{2} + ({y_1 - y_2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

R(7, –7) to U(–3, 2).

The distance between them is

$|RU | = \sqrt{ ({7 + 3})^{2} + ( { - 7 - 2})^{2} } \\ = \sqrt{ {10}^{2} + ({ - 9})^{2} } \\ = \sqrt{100 + 81} \\ = \sqrt{181} \: \: \: \: \: \: \: \: \: \: \\ = 13.4536240...$

We have the final answer as

<h3>13.5 units to the nearest tenth</h3>

Hope this helps you

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may someone help me ASAP? I am solving polynomial equations and I don't know how to do it, here is the equation... x^4+11x^2=3x^

koban [17]

<u>Answer:</u>

$x=2\sqrt{2}$ , $x=-2\sqrt{2}$ , $x=4i$ , $x=-4i$

<u>Step-by-step explanation:</u>

$x^4+11x^2=3x^2+128$

First, we subtract 128 from both sides:

$x^4+11x^2-128=3x^2$

Then, we subtract $3x^2$ from both sides:

$x^4+8x^2-128=0$

Rewrite the equation:

$u^2+8u-128=0$

Insert and solve:

$u^2+8u-128=0\\u=8,u=-16\\x^2=8:x=2\sqrt{2},x= -2\sqrt{2} \\x^2=-16:x=4i,x=-4i$

<em>Please give Brainliest</em>

8 0

3 years ago

Given points A(-1, -2) and B(2, 4) where AP: BP=1:2, find the locus of point P.

koban [17]

Answer:

$x^2 + 4x + y^2 +8y = 0$

Step-by-step explanation:

Given

$A = (-1,-2)$

$B = (2,4)$

$AP:BP = 1 : 2$

Required

The locus of P

$AP:BP = 1 : 2$

Express as fraction

$\frac{AP}{BP} = \frac{1}{2}$

Cross multiply

$2AP = BP$

Calculate AP and BP using the following distance formula:

$d = \sqrt{(x - x_1)^2 + (y - y_1)^2}$

So, we have:

$2 * \sqrt{(x - -1)^2 + (y - -2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}$

$2 * \sqrt{(x +1)^2 + (y +2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}$

Take square of both sides

$4 * [(x +1)^2 + (y +2)^2] = (x - 2)^2 + (y - 4)^2$

Evaluate all squares

$4 * [x^2 + 2x + 1 + y^2 +4y + 4] = x^2 - 4x + 4 + y^2 - 8y + 16$

Collect and evaluate like terms

$4 * [x^2 + 2x + y^2 +4y + 5] = x^2 - 4x + y^2 - 8y + 20$

Open brackets

$4x^2 + 8x + 4y^2 +16y + 20 = x^2 - 4x + y^2 - 8y + 20$

Collect like terms

$4x^2 - x^2 + 8x + 4x + 4y^2 -y^2 +16y + 8y + 20 - 20 = 0$

$3x^2 + 12x + 3y^2 +24y = 0$

Divide through by 3

$x^2 + 4x + y^2 +8y = 0$

3 0

3 years ago

If you borrow $225 for eight years at an interest rate of 6% how much interest will you pay ?

weeeeeb [17]

Answer:$58.55

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

We have 10 gallons of gas in the car. we use 1 5/8 gallons each hour. How many hours of gas do we have?

Andre45 [30]

So you have 10 gallons of gas
You use 1.625 or 1.63 an hour

You can either do 10/1.625 = 6 hours and 15 mins
You can either do 10/1.63 = 6 hours and 13 mins

5 0

3 years ago

What is equivalent to 9 3/4?

Nata [24]

Step-by-step explanation:

We need to say that $9^{3/4}$ is equivalent to what.

We know that, (3)² = 9

So,

$9^{3/4}=((3)^2)^{3/4}\\\\=3^{3/2}$

We can write $3^{3/2} =3\times 3^{1/2}$

And $3^{1/2}=\sqrt{3}$

So,

$3\times 3^{1/2}=3\sqrt{3}$

So, $9^{3/4}$ is equivalent to $3\sqrt{3}$ .

Hence, this is the required solution.

6 0

3 years ago