What is the slope of a line passing through (3, 4) and (5,8)?
1/2
2
2/4
4/2

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

To find the slope of a line given two points $(x_1,y_1) \text{ and } (x_2,y_2)$ you could use the formula: $(y_2-y_1)/(x_2-x_1) \text{ or even } (y_1-y_2)/(x_1-x_2)$ .

However, what I'm fixing to do is equivalent to that except I think easier to remember.

You line up the points vertically and subtract, then put 2nd difference over 1st difference.

Like this:

( 3 , 4)

- ( 5 , 8)

---------------

-2 -4

So the slope is -4/-2=4/2=2.

The slope is 2.

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Solve by elimination
x+2y=-7
x-5y=7

Answers

$\left \{ {{x+2y=-7} \atop {x-5y=7\ \ | multiply\ by\ -1}} \right. \n\n \left \{ {{x+2y=-7} \atop {-x+5y=-7}} \right. \n+-----\n addition\ method\n\n 7y=-14 \ \ \ | divide\ by\ 7\n\n y=-2\n\n substitute\ y=-2\ to\ first\ equation\n\nx=-7-2y=-7+4=-3\n\nx=-3$

$\left\{\begin{array}{ccc}x+2y=-7\nx-5y=7&|multiply\ both\ sides\ by\ (-1)\end{array}\right\n\underline{+\left\{\begin{array}{ccc}x+2y=-7\n-x+5y=-7\end{array}\right}\ \ \ \ |add\ both\ sides\ of the\ equations\n.\ \ \ \ \ \ \ \ 7y=-14\ \ \ \ |divide\ both\ sides\ by\ 7\n.\ \ \ \ \ \ \ \ \boxed{y=-2}\n\nput\ the\ value\ of\$

The area of a rectangle is 256.5m. If the length is 18m what is the perimeter of the rectangle?

Answers

The area of a rectangle equals length times height. (A=LH)

A=256.5 L=18

Plugging in the numbers into the equation, you get 256.5=18H. (like I substituted the numbers in)

next if you divided both sides by 18, it will cancel out the 18 in the 18H side of the equation.

So, it is 256.5/18 equaling H

256.5 divided by 18 is... 14.25

That means the height is 14.25 an the length is 18.

the perimeter is all of the sides added together. in a rectangle, the sides opposite each other are the same.

So you have two sides that are 14.25 and two that are 18 meters long.

14.25+14.25+18+18 equals the perimeter then.

So the answer would be... 64.5!

area = l x b

thus, 256.5 = 18 x b

thus b = 256.5/18
= 14.25

thus, breadth is 14.25 meters

Now perimeter = 2l + 2b

= 36 + 28.5

= 64.5

Thus, perimeter of the rectangle is 64.5 meters

Three posters cost $9.60. At that rate, how many posters can you buy for $48?

Answers

9.60 divided by 3 gives you 3.20 so the posters are $3.20 each.
48 divided by 3.20 equals 15.
You can purchase 15 posters with $48.

Final answer:

To find out how many posters you can buy for $48 given that three posters cost $9.60, you can set up a proportion and solve for x.

Explanation:

To find out how many posters you can buy for $48 given that three posters cost $9.60, you can set up a proportion.

First, find the price per poster: $9.60 ÷ 3 = $3.20 per poster.

Next, set up the proportion: $3.20 is to 1 poster as $48 is to x posters.

Cross multiply: $3.20x = $48.

Divide both sides by $3.20 to solve for x: x = 15.

Therefore, you can buy 15 posters for $48 at that rate.

Learn more about Proportions here:

brainly.com/question/32430980

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larissa asked 40 students to name their favorite food. 10 students said their favorite food was pizza. What percent of the students survayed said their favorite food was pizza?

Answers

The percent of the students surveyed said their favorite food was pizza is 25%. You can simplify 10/40 by 10/10 which gives you 1/4. You then multiply 1/4 to a number that gives you ?/100, which would be 25/100. And that would give you 25%.

The answer would be 25% or 1/4 if you wanted it in fraction form.

The triangular prism has a triangular base with length 12cm and hieght 8cm.the hieght of the prism is 11cm. What is the surface area of the prism

Answers

surface area of triangular prism
has 2 bases with same area (both triangles)
3 rectangle sides that are height 11 and we need to find the other sides

we need the sides of the base to find the rectangles
12/2=6
pythagoren theorem
6^2+8^2=c^2
36+64=c^2
100=c^2
10=c
2 sides are 10

so

bases are 1/2 times 12 timm es8 times 2 since 2 bases=96

sides
height for all is 11
legnth is 12 for 1 and 10 for other 2
11*12+11*10+11*10=352

add
96+352=448

answer is 448cm^2

Edward had 45 water bottles. If he drank 1/9 of water bottles, how many did he drank?