An easy way to do this is by using the simplest equations you can:
x + y and x - y
(3, 5) is (x, y). all you have to do is plug those into your equations and get a result, so:
x + y = 8
(because 3 + 5 = 8)
x - y = -2
(because 3 - 5 = -2)
and those can serve as your system of equations.
you can check it by solving by substitution:
x - y = -2
x + y = 8
solve one of the equations for a single variable:
x = y - 2
plug it into the second equation:
(y - 2) + y = 8
y - 2 + y = 8
2y - 2 = 8
2y = 10
y = 5
then plug that result back into the equation:
x + y = 8
x + 5 = 8
x = 3
Answer:
QR = 1
Step-by-step explanation:
PR = PQ + QR
PR = x + 19
PQ = 9
So now put what you know in the equation above.
PR = 9 + 2x + 19
PR also equals x + 19
so
x + 19 = 9 + 2x + 19
x + 19 = 2x + 28
19 - 28 + x = 2x
-9 + x = 2x
-9 = 2x - x
-9 = x
===================
QR = 2x + 19
QR = 2*-9 + 19
QR = -18 + 19
QR = 1
This really is kind of a nasty question. You don't expect to get a minus number of x.
Answer:
Step-by-step explanation:
The area of a rec tangle is A x W
but first you have to find the area of the triangle wich is going to be 127.5.
Then you have to multiply 127.5 times 15.
And that will give you 1,912.5.
I think this is correct, but im not sure.
Answer:
√2
Step-by-step explanation:
tan(x) = -1
x = arctan(-1)
x = -π/4
Now since x is between 3π/2 and 2π use use the general form
nπ-π/4
taking n = 2
2×π-π/4
= 7π/4
now tan (7π/4) = -1
so sec (7π/4) = √2
Answered by GAUTHMATH
Answer:
y = 2x - 18
Step-by-step explanation:
There are lots of different methods to do these types of questions, but this is the way i like to do it.
Coordinate (x1, y1) : (4, -10) and Gradient (m): 2
Start with this generic equation:
y- y1 = m(x-x1)
Substitute in the values they have given you:
y - (-10) = 2(x-4)
This becomes:
y + 10 = 2x - 8
Keep solving by moving the 10 over to the other side:
y = 2x -8-10
y = 2x - 18
<u>An easy way to double check:</u>
1) the coefficient of x is the slope. We got 2x, and the slope is 2, so that's correct.
2) Substitute x=4 into the equation, and we get -10, which is the exact coordinate that they gave us. This is also right.
Hope this helped : )
