Answer:
4x - y = -5
Step-by-step explanation:
The equation of a new line which is parallel to old line 4x - y = 14 looks exactly the same as that of the old line EXCEPT that we replace the constant, 14, with C and find C for the line that passes through (-2, -3).
4x - y = 14 becomes 4x - y = C
Now substitutte -2 for x, -3 for y and calculate C:
4(-2) - (-3) = C, or
-8 + 3 = C = - 5
Thus, the new equation is 4x - y = -5
The first diagram below shows a circle with a radius of 1 (unit circle). The circle is drawn on a Cartesian graph with (0,0) as the center of the circle.
From the second diagram, we can determine the value of sin(Θ) = y
and cos(Θ) = x
We can further deduce that
tan(Θ) =
sec(Θ) =
=
cosec(Θ) =
=
cot(Θ) =
=
Answer:
52
Step-by-step explanation:
Y = x^2 . . . (1)
y = -x + 2 . . . (2)
Putting (1) into (2) gives,
x^2 = -x + 2
x^2 + x - 2 = 0
x^2 - x + 2x - 2 = 0
x(x - 1) + 2(x - 1) = 0
(x + 2)(x - 1) = 0
x = -2 or x = 1
y = (-2)^2 or y = (1)^2
y = 4 or y = 1
Solution is (-2, 4) and (1, 1)
Y *x =20
y +x =9
rewrite 1st eq. as y = 20/x
subsituute that into 2nd eq.
20/x +x =9
multiply each term by X
20 +x^2 = 9x
subtract 9x from each side:
x^2 - 9x +20 = 0
now factor:
(x-5) (x-4) = 0
solve for x
5-5 = 0
4-4 = 0
so X can be 4 or 5
replace x into equations and solve for Y
so when X = 4, Y = 5
When X = 5, Y = 4
x= 5,4
y = 4,5
