(2p+3q=9)(4p+q=13)using ellimination method.
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Hello again! So we will be using the pythagorean theorem (
) to solve for the bottom leg of the triangles. After we do that, we'll subtract the value of the legs from 31, and that'll be x.
Plug in 17 and z (or any variable that isn't x) into the leg variable and 19 into the hypotenuse variable, and from there we can solve.
Solve the exponents to get
Subtract 289 on each side to get
Lastly, square root each side of the equation and your answer should be
(To get more accurate answers, you shouldn't round until the end of the problem)
Nextly, we will need to subtract
from 31. And since there are 2 triangles, you'll need to multiply by 2.
In short, x = 14.0
Plug in 17 and z (or any variable that isn't x) into the leg variable and 19 into the hypotenuse variable, and from there we can solve.
Solve the exponents to get
Subtract 289 on each side to get
Lastly, square root each side of the equation and your answer should be
Nextly, we will need to subtract
In short, x = 14.0
Step-by-step explanation:
You can write an equation of a line conveniently by point-slope form. It's in the form of where
is the coordinates of a point that's on the line and
is the slope of the line.
Now choose a point (It doesn't really matter which one) and plug that in the equation. I'll choose where
and
The next thing we have to do now is finding the slope, , where it's equal to
. I'll make
point 1 and
point 2.
Now let's plug that to our equation.
Now we have the equation but out of all the choices it seemed that all of them are in slope-intercept form all you have to do now is make our equation rewrite it in slope-intercept form.
is your equation.