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Viktor [21]
2 years ago
14

Please look at number 13. and use the slope and write the equation for me

Mathematics
1 answer:
natta225 [31]2 years ago
7 0

Answer:

y - y1 = m(x - x1)

(x1, y1) = (1, -1)  (x2, y2) = (3, 5)

m = \frac{5 - (-1)}{3 - 1}

m = \frac{5 + 1}{3-1}

m = \frac{6}{2} = \frac{3}{1} = 3

m = 3

y - 5 = 3(x - 3)

y - 5 = 3x - 9

y = 3x - 9 + 5

y = 3x - 4

Step-by-step explanation:

In order to use point-slope form to convert to slope-intercept form you have to know one point and the value of the slope. In this case, we know two points, but we don't know the slope. In order to find the slope, you can input the values of the two points into the expression: \frac{y2 - y1}{x2 - x1}

After finding the slope, input the values of one of the points (in this example I used (3,5)) and the slope. After that, multiply the slope by the two terms inside the parentheses. then add 5 to both sides of the equation to isolate y. Now your equation is in slope-intercept form.

I hope this helps :)

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Please please please help
scoundrel [369]
First option: p< -8 or p>5
-6+\left|2p+3\right|>7
-6+\left|2p+3\right|+6>7+6
\left|2p+3\right|>13
2p+3<-13\quad \quad \mathrm{or}\quad \:\quad \:2p+3>13
Combine:
p< -8 or p>5
Hope this helps!
3 0
2 years ago
In the right triangle shown m angle y=30° and xy=6 how long is yz?
NemiM [27]

Answer:

hypotenuse=0.869...

Step-by-step explanation:

soh cah toa

xy is the adjacent side

we are looking for the hypotenuse, which is yz

cos30=6/hypotenuse

0.866=6/hypotenuse

hypotenuse=0.869...

7 0
2 years ago
Read 2 more answers
The sum of the digits of a two-digit number is 12. The number formed by reversing the digits is 54 more than the original number
andreyandreev [35.5K]

Answer:

39

Step-by-step explanation:

let the 2 digit number be ab = 10a + b ( considering place value )

The reversed  2 digit number is ba = 10b + a

The sum of the 2 digit number is

a + b = 12 ( subtract b from both sides )

a = 12 - b → (1)

Expressing as an equation

ba = ab + 54 , that is

10b + a = 10a + b + 54

Substitute a = 12 - b into the equation

10b + 12 - b = 10(12 - b) + b + 54 , simplify both sides

9b + 12 = 120 - 10b + b + 54

9b + 12 = - 9b + 174 ( add 9b to both sides )

18b + 12 = 174 ( subtract 12 from both sides )

18b = 162 ( divide both sides by 18 )

b = 9

Substitute b = 9 into (1)

a = 12 - 9 = 3

Thus

the original 2 digit number = ab = 39

The reversed 2 digit number = ba = 93

which is 54 more than the original number

7 0
3 years ago
john wanted to run a 26k marathon. He only completed 0.75 of it before having to stop . How many kilometers did he run
kvasek [131]

Answer:

19.5 kilometers

Step-by-step explanation:

to find how much he ran we can multiply the two numbers

26 * 0.75 is 19.5

he only ran 19.5 kilometers

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2 years ago
Find the inverse function for
kifflom [539]
\bf \stackrel{f(x)}{y}=\sqrt{2x-6}\qquad \qquad \stackrel{f^{-1}(x)}{y}=\cfrac{x^2+6}{2}

that is correct hmmmm, yes, I think the restriction is also correct, it has to be x > 0, because, the domain on the original, has a restriction of x⩾3, otherwise the radicand turns negative.

now, the graph of that original function is a parabola sideways opening to the right, if you include both sides of the vertex of the parabola, it will not pass the vertical-line-test and not be a function, but if you restrict it to only positive roots, so it'll only be on the 1st quadrant, then it functions ok.

that means, the range of the original function, has to stick to only 0 or positive root values, now, recall that the range of the original is the domain of the inverse.  Therefore, the domain of the inverse, will have to stick to only 0 or positive values, since it's bound to the same restriction as the original's range.

notice the picture below of both, the dashed section is the positive range for each, if you include it, the original will fail the vertical-line-test, and the inverse will fail the horizontal-line-test.

recall that for a function to have an inverse, they both must pass the vertical and horizontal line test, or be a one-to-one functions.

6 0
3 years ago
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