MATHEMATICS HIGH SCHOOL

Find the slope through the points (2,4) and (6,12)

Answers

Answer 1

Answer:

Answer:

The slope is 2

Step-by-step explanation:

Slope = $(rise(changeiny))/(run(changeinx)) =(y2-y1)/(x2-x1) =(12-4)/(6-2) =(8)/(4)$

8/4 reduces to 2/1 which makes the slope 2

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Tourist: "How many birds and lions do you have in your zoo?" Zookeeper:"There are 30 heads and 100 feet." Find the number of each animal. I need to know how to set this problem up in a system of linear equations. Thank you.

Answers

Each lion has 1 head. The number of lion heads is L .
Each bird has 1 head. The number of bird heads is B.
The total number of heads of all species is (L + B) = 30

Each lion has 4 feet. The number of lion feet is 4L .
Each bird has 2 feet. The number of bird feet is 2B .
The total number of feet of all species is (4L + 2B) = 100

The system of linear equations is:

L + B = 30
4L + 2B = 100 .

Subtract 5 from the sum of 8.2 and 0.072?

Answers

$(8.2+0.072)-5=8.272-5=\boxed{3.272}$

8.272 is the sum of the two numbers
if you subtract five, it is 3.272
Hope it helped:)
So, the answer is 3.272

Which equation represents the line that passes through the points (6 -3) and (-4 -9)

Answers

first of all you neeeeeed to make sure you know the formula for slope!
which is...
y2 - y1
m = -----------
x2 - x1

and since they already gave you two x and y coordinates this is really simple:) first of all you need to understand what is y2, y1, or x2, x1
taking the points (6,-3) i hope u understand that 6 is the x and -3 is the y. so knowing that information you always remember to use the information in the order that they gave it to you. i will add an extra link to help explain. Sooo then knowing that you plug it into the formula that I gave you earlier
so look at the next link that i made:)
so your slope is 6/5! or 1.2 as a decimal
hopefully you would know what an equation looks like but just in case this is it y = mx+b
so your equation looks like this y = 1.2x -3
where did i get the -3?
well look at first x and y coordinate thats your first y intercept:))
hope i helped!!.... and that this was right lol
let me know if it was correct thanks.

NEED HELP ASAP.A linear function has a y-intercept of -12 and a slope of 3. What is the equation of the line?

Answers

Answer:

y = 3x - 12

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

a snail moves at a speed of 2.394 inches per minute . If the snail keeps moving at this rate, about how many inches will it travel in 7.489

Answers

2.394 inches per minute x 7.489 minutes = 17.928666 inches.

So, about 18 inches.

$(2.394in)/(1min) * (7.489min)/(1) = 17.928666in$

Or 17.93in with significant digits.

To break it down, you can set up your information as a fraction (which I did for the first fraction.) Then you want your units to cancel out, so I put the 7.489 minutes on the top of the next fraction and multiplied them. The min canceled out and left me with in, so I know I had the correct answer.

Find the greatest common factor of the following monomials: 20a3 and 8a2

Answers

GCF of given monomials are $4a^2$

Solution:

Given that we have to find the greatest common factor

Given monomials are:

$20a^3 \text{ and } 8a^2$

When we find all the factors of two or more numbers, and some factors are the same, then the largest of those common factors is the Greatest Common Factor

Let us first find the GCF of 20 and 8 and then find GCF of variables and then multiply them together

GCF of 20 and 8:

The factors of 8 are: 1, 2, 4, 8

The factors of 20 are: 1, 2, 4, 5, 10, 20

Then the greatest common factor is 4

$GCF\ of\ a^3 \text{ and } a^2\n\na^3 = a^2 * a\n\na^2 = a^2$