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2 years ago

What is the equation of the line????????

Mathematics

2 answers:

IrinaVladis [17]2 years ago

8 0

Answer:

y=1/2x+2

Step-by-step explanation:

The equations come in the form of y=mx+c, where m is the gradient and c is the y-intercept. Looking at the graph we know that the y-intercept is (0,2), so that rules out options B and C.

To find the gradient is a little more tricky, but we can follow the formula:

$\frac{rise}{run}$ , where rise is the vertical value and run is the horizontal value

So we sub in our values:

$\frac{2}{4}$

And simplify:

$\frac{1}{2}$

So now we sub in our new found values into y=mx+c:

y=1/2x+2

ki77a [65]2 years ago

7 0

Answer: y = x/2 + 2 which is the 4th option from the top

Step-by-step explanation:

First find the slope which is (0-2)/(-4-0) = 2/4 = 1/2

So it's y = x/2 + c

Substituing (-4,0) into the equation we get

0 = -4/2 + c

0 = c-2

c = 2

So the equation is y = x/2 + 2 which is the 4th option from the top

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Identify a pattern and find the next number in the pattern.<br> -48, -24, -12, -6

vodka [1.7K]

It's would be plus haft that number (it's a negative) and the next number would be 0

3 0

3 years ago

Read 2 more answers

I need to use the Pythagorean Theorem to find X. I don’t know how to do that!!

frutty [35]

Answer:

17) x=8

18) $x=\sqrt{189}$ or $x= 3\sqrt{21}$

Step-by-step explanation:

So the rule is $a^{2} +b^{2} =c^{2}$ , "c" being the hypothenuse, or the long line that is opposite to the right angle.

17) We know that both values of x are equal to each other, which makes everything 10x easier!

$x^{2} +x^{2} =(8\sqrt{2}) ^{2}$

(by the way we know the x values are our a and b values because they are legs! the way I like to remember the legs is that they are connected to the right angle box, and therefore support the hypothenuse)

<em>simplify</em> (╥︣﹏╥)

$2x^2=8^2(\sqrt{2} )^{2}$

$2x^2=64(2)$

$2x^2=128$

$x^{2}= 128/2$

$x^{2} =64$

x=8

18) Just pretend that the flipped triangle doesn't exist. It's parallel to the other triangle with values on it, and basically servers no purpose other than being parallel to the sister triangle :)

Anyways, since we know the hypothenuse (15) but we don't know one of our leg values (x), we're going to change our equation a bit!

$c^{2} - b^{2} = a^{2}$

It doesn't matter if you put the one leg value in a or b, just as long as you stick to that same equation you started with the entire time!

$15^{2} -6^{2} =x^{2}$

$225-36=x^{2}$

$x^{2} =189$

$x=\sqrt{189}=3\sqrt{21}$

The more you do these, the easier they'll get, so don't worry!

4 0

3 years ago

I need to know which points go wj ere please

g100num [7]

The equations give you information as to where to plot points.

For y = -x + 1, you know the slope is -1, and the line intersects the y-axis at (0, 1). The y-axis is the vertical line; to plot (0, 1), find 1 on the vertical line and mark it. Now, the slope is -1; that means the line will slope downwards. To plot more points, count 1 unit down from (0, 1) and 1 unit to the right. You should end up at (1, 0).Connect those and you have a line.

For y = -2x + 4, the slope is -2 (so it will also slope downwards), and the y-intercept is 4. Find (0, 4) and plot it. The -2 tells you to count 2 units down (instead of 1 like we did for the last equation) and 1 over. That is the second line.

I hope this helps.

3 0

3 years ago

The director of an animal shelter need to raise more than $50,000 during a fundraiser. Write an inequality that represents the a

mr_godi [17]

Answer:

m > 50,000

This means the money, m, will be greater than 50,000

5 0

3 years ago

The identification code on a bank card consists of 1 digit followed by 2 letters. The code must meet the following conditions: T

jasenka [17]

Answer:

For the code we have 3 selections.

The first selection is a digit that must be odd, so the options are {1, 3, 5, 7 ,9}

So we have 5 options.

The second selection is a letter from the set of all the letters (27) minus the set of the vowels (5)

So here we have 27 - 5 = 22 options

The third selection is also a letter from the previous set, but because each letter can be used only one time, and in the previous selection we already selected one of the letters, in this selection we have a letter less than in the previous selection.

Here we have 22 - 1 = 21 options.

The total number of combinations (of possible codes) is equal to the product of the number of options for each selection:

C = 5*22*21 = 2310.

There are 2310 different possible codes

8 0

3 years ago