I just need help with #15 … can someone please help me.. show step by step

Find the distance, c, between (–3, 4) and (2, –3) on the coordinate plane. Round to the nearest tenth if necessary.

andriy [413]

Using the distance formula, the distance between (-3, 4) and (2, -3) is: 8.6 units.

<h3>What is the distance formula?</h3>

Distance formula for calculating the distance between two points on a coordinate plane is given as: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ .

Let,

(-3, 4) = (x1, y1)

(2, -3) = (x2, y2)

Plug in the values

$c = \sqrt{(2 - (-3))^2 + (-3 - 4)^2} \\\\c = \sqrt{74} \\\\$

c = 8.6 units.

Therefore, using the distance formula, the distance between (-3, 4) and (2, -3) is: 8.6 units.

Learn more about distance formula on:

brainly.com/question/661229

5 0

2 years ago

Anyone know the answers to 1, 2, 3, 4, 5

muminat

Answer:

1. C. 1/4(4) + 1/4(9) (A, 1/4(13), is essentially C simplified (without figuring it out).)

2. G - -4

3. A - -4(-5) + (-4)x

4. J - 1/6x + 1/6y

5. A - 60(10 + 2)

Step-by-step explanation:

1.

1/4(4 + 9) We can distribute 1/4 into 4 and 9.

1/4(4) + 1/4(9) Now while we have our answer, this can be further simplified.

1/4(13) What's on the left is the simplified 2-term equation.

So really, either C or A will be the answer. But due to the format of #3, I put C as my answer. B & D were out because there wasn't any extra multiplication.

2.

-2/5(15 - 5) Subtract 5 from 15 to get 10.

-2/5(10) Multiply -2/5 by 10 to get -20/5

-20/5 Divide -20 by 5 to get -4.

-4, so G is the answer. This was negative, so H & J were out to begin with. F was out as soon as I solved the problem.

3.

-4(-5 + x) Distribute -4 into -5 + x.

-4(-5) + (-4)x, so A is the answer. Don't get tricked! B may look right, but there should be a negative sign in front of the 5, hence why it's incorrect.

4.

1/6(x + y) Distribute 1/6 into x + y.

1/6x + 1/6y, so J is the answer. F & G are already out because you don't multiply the variables by each other. H is also out because there wasn't any multiplication involved other than x + y being multiplied by 1/6.

5.

Only 60(10 + 2) would have worked, so A is the answer. The tickets would have cost 720 dollars (600 + 120). B would have equated to 624 (24 + 600), C would have been 132 (6 * 22), and D would have been 600. (10 * 60).

6 0

3 years ago

What is the intersection of the following sets? G = {3, 7, 8, 9} H = {2, 5, 7, 8}

weeeeeb [17]

"The intersection (∩) of a pair of sets (G and H) is a third set (I) composed by the elements that belong, at the same time, to both given sets."

According to this definition:

Given the sets:

G = {3, 7, 8, 9}

H = {2, 5, 7, 8}

The Intersection is:

G ∩ H = I = {7, 8}

:-)

5 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=14r%20-%208r%3D%20126" id="TexFormula1" title="14r - 8r= 126" alt="14r - 8r= 126" align="absmi

LuckyWell [14K]

14r – 8r=126

6r=126

R=21

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7 0

3 years ago

What are the coordinates of the fourth point that could be connected with (–8, 0), (1, 0), and (1, –5) to form a rectangle?

sergey [27]

(-8, -5)

To form a rectangle, all the lines must be perpendicular and parallel. If you draw out the points on a coordinate plane then you can find the answer pretty easily.

Also, this one is easy because all the lines are vertical or horizontal, and when that is the case then you can just see which number in the set hasn't appeared twice (1 appeared twice as an x value, 0 appeared twice as a y value, but -8 has only appeared once as an x and -5 has only appeared once as a y value)

6 0

3 years ago