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3 years ago

Give the equation of the line in slope intercept form y=x+ ?

Mathematics

2 answers:

zvonat [6]3 years ago

8 0

Answer:

Step-by-step explanation:

just count the spaces from 0 vertically.

irinina [24]3 years ago

5 0

Answer:

$y = x +2$

Step-by-step explanation:

A graph of equation is given and we need to find the slope intercept form of the line . The slope intercept form is ,

$\sf \implies y = mx + c$

m = slope
c = y intercept

From the graph we see that it passes through (0,2) and (-2,0) . Hence slope ,

$\sf\implies m =\dfrac{y_2-y_1}{x_2-x_1} \\\\\sf\implies m = \dfrac{2-0}{0-(-2)} =\dfrac{2}{2}\\\\\sf\implies \boxed{\sf m = 1 }$

$m = 1$
$c = 2$

Plug in the respective values ,

$\sf\implies \boxed{\red{ y = x + 2 }}$

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Ben and his three friends were ordering pizza. They could spend at most $26. If a large

lutik1710 [3]

Answer:

6 toppings

Step-by-step explanation:

The t in this equation represents the amount of toppings.

22 + 0.65t = 26

-22 -22

0.65t = 4

0.65t/0.65 = 4/0.65

t = 6

They could get 6 toppings and the total would be $25.90.

6 0

3 years ago

Which shows the following in order from least to greatest: 85%, 15/18, 0.84 PLEASE HELP

Marrrta [24]

Answer:

15/18, 0.84, 85%

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

6 0

3 years ago

Read 2 more answers

use the information provided to write the standard form equation of each hyperbola vertices:(4,14), (4,-10) foci: (4,15), (4,-11

Evgen [1.6K]

So... if you notice the picture below, based on the given vertices, is a hyperbola with a vertical traverse axis

meaning for the equation, the fraction with the "y" variable is the positive fraction, thus $\bf \cfrac{(y-{{ k}})^2}{{{ a}}^2}-\cfrac{(x-{{ h}})^2}{{{ b}}^2}=1$

so... what' the point h,k for the center? well, just take a peek at the graph, the center is half-way between both vertices, that's h,k

what's the "a" component or the traverse axis... well, is the distance from one vertex to the center, notice the picture, notice how many units from either vertex to the center, that's "a"

now.. what's "b"? well, "b" comes from the conjugate axis, or the other runnning over the x-axis hmm the smaller one in this case.... well, we dunno what "b" is

however, we know the distance from either focus, to the center of the hyperbola, and that distance "c", is $\bf c=\sqrt{a^2+b^2}$

notice the picture, notice the distance from either focus to the center, that's the distance "c", thus $\bf c=\sqrt{a^2+b^2}\implies c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b$

that'd be "b"

bearing in mind that $\bf \cfrac{(y-{{ k}})^2}{{{ a}}^2}-\cfrac{(x-{{ h}})^2}{{{ b}}^2}=1
\qquad 
\begin{cases}
center= ({{ h}},{{ k}})\\\\ b=\sqrt{c^2-a^2}
\end{cases}$

8 0

4 years ago

Kate paid $27 for a dress that was on sale for 10% off. What was the original price of this dress?

Luba_88 [7]

The best way to go about this questions is to write out a formula in which x represents the original price of the dress: x*0.90=27. To see where the 0.90 came from, if Kate's dress was 10% off, she must have paid 90% of the original price (100%-10%=90%). Then, to convert a percentage to a decimal, move the decimal point twice to the left so 90% becomes 0.90. Then, our formula essentially means that 90% of some number (x) is equal to 27. To solve for x, divide both sides of the formula by 0.90 to get x=$30 which is the final answer.

I hope this helps.

8 0

3 years ago

Read 2 more answers

an ice cream stand sells chocolate, vanilla, strawberry ice cream as well as a choice of 22 toppings. How many choices are there

stiks02 [169]

If you choose Vanilla, there are 22 choices of toppings.
If you choose Chocolate, there are 22 choices of toppings.
If you choose Strawberry, there are 22 choices of toppings.

22+22+22 = 66

Therefore, there are 66 choices of toppings.

8 0

3 years ago