Answer:
The locus is (x + 6)^2 + (y - 9)^2 = 100
Step-by-step explanation:
This is a circle with center (-6,9) and radius 10 units.
The general equation of a circle with center (a, b) and radius r is
(x - a)^2 + (y - b)^2 = r^2 so we insert the given values into this general equation to get the locus.
First find slope
5-10/-1-0= 5
find y-intercept
10=5(0)+B
b=-10
equation: y=5x-10
Answer:
Right
Step-by-step explanation:
For a contrapositive, we switch the hypothesis and conclusion and then negate it.
Switch
If it is a tree, then it is an elm
Negate
If it is not a tree, then it is not an elm.
Not tree belongs inside not elm
Right
(x-4)² + (x-2)² = x²
(x² - 8x + 16 ) + (x² - 4x + 4) = x
2x² -12x + 20 = x
2x²-12x + 20 - x = 0
2x² - 13x + 20 = 0
(2x-5) (x-4) = 0
2x-5 = 0
2x = 5
x = ⁵/₂
x-4 = 0
x = 4
so x₁ = ⁵/₂ , and x₂ = 4
The slope of the line is 3/11x