Answer:
x₁ = -1
x₂ = 5/6
Step-by-step explanation:
The equations of the given linear system are:
Multiply the first equation by -2 and add it to the second one to solve for x₁:
Since we already know the value of x₁, simply replace it in the first equation to solve for x₂:
The solution for the system is x₁ = -1 and x₂ = 5/6
You should begin by graphing both of these triangles, then seeing the type of translation that happened.
Answer:
4
Step-by-step explanation:
The diameter of a circle is 2 times the radius. (the diameter is the length from an outer point in the circle, to one directly across)
In this case, the radius is 2.
So, 2 x 2 = 4.
The diameter is 4.
Answer
y = 2x
Explanation
The first thing is to find the gradient of the line.
Gradient = Δy/Δx
= (4--2)/(2--1)
= 6/3
= 2
Now a general point (x, y) and one of thegiven points.
(y - 4)/(x - 2) = 2
y - 4 = 2(x - 2)
y = 2x - 4 + 4
y = 2x + 0
y = 2x
Step-by-step explanation:
y = 16x²
you put the x values one after the other in place of x and do the calculations.
x = -4
y = 16×(-4)² = 16×16 = 256
x = -3
y = 16×(-3)² = 16×9 = 144
x = -2.5
y = 16×(-2.5)² = 16×6.25 = 100
x = -2
y = 16×(-2)² = 16×4 = 64
x = -1.5
y = 16×(-1.5)² = 16×2.25 = 36
x = -1
y = 16×(-1)² = 16×1 = 16
x = -0.5
y = 16×(-0.5)² = 16×0.25 = 4
x = 0
y = 16×0² = 16×0 = 0
x = 0.5
y = 16×0.5² = 16×0.25 = 4
x = 1
y = 16×1² = 16×1 = 16
and so on.
36, 64, 100, 144, 256
as you can see, the y values are the same for the positive and the negative values.
because squaring a negative number is the same as squaring the same positive number. that is, because (if you remember) squaring something means to multiply that something with itself. and minus multiplied by minus is plus, as plus multiplied by plus is plus.
and that creates the symmetry around the y-axis or x = 0. everything left of the y-axis is mirrored on the right side of the y-axis (and vice versa).
