Solve 58 - 10x ≤ 20 + 9x
2 answers:
You might be interested in
<span>A(2, -2), B(4, -2), C(1, -3), D(5, -3).
A'(1, 2), B'(1, 4), C'(2, 1), D'(2, 5)
That looks like a rotation 90 degrees around the origin then a translation.
Let's do the rotation ABCD->A"B"C"D"
The rotation is (x,y)->(-y,x)
</span>A"(2, 2), B"(2,4), C"(3,1), D"(3,5).
Compare to
A'(1, 2), B'(1, 4), C'(2, 1), D'(2, 5)
we need to translate one unit to the left.
Answer: 90 degree rotation around the origin then translation by (-1,0)
A'(1, 2), B'(1, 4), C'(2, 1), D'(2, 5)
That looks like a rotation 90 degrees around the origin then a translation.
Let's do the rotation ABCD->A"B"C"D"
The rotation is (x,y)->(-y,x)
</span>A"(2, 2), B"(2,4), C"(3,1), D"(3,5).
Compare to
A'(1, 2), B'(1, 4), C'(2, 1), D'(2, 5)
we need to translate one unit to the left.
Answer: 90 degree rotation around the origin then translation by (-1,0)
Answer: (0, 0) & (3, √3)
<u>Step-by-step explanation:</u>
Since we need a distance of 2, I graphed y = √x and then drew a circle at center (2, 0) and radius of 2 to see where they intersect.
The coordinates of intersection can be determined by solving a system of equations.
Equation 1: y = √x
Equation 2: (x - 2)² + y² = 2²
I will use the Substitution method with Equation 2 to solve for x:
(x - 2)² + (√x)² = 2² substituted y with √x
x² - 4x + 4 + x = 4 expanded binomial
x² - 3x + 4 = 4 added like terms
x² - 3x = 0 subtracted 4 from both sides
x(x - 3) = 0 factored
x = 0 x - 3 = 0 applied Zero Product Property
x = 3
Next, solve for y using Equation 1:
x = 0: y = √0 = 0
x = 3: y = √3
Coordinates of intersection are: (0, 0) & (3, √3)
