Answer:
center = (-2, 3)
radius = 2
Step-by-step explanation:
(x+2)^2 + (y-3)^2 = 4
Use the formula: (x - h)^2 + (y - k)^2 = r^2
where (h, k) = center, radius = r
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(x - (-2))^2 + (y - 3)^2 = 4 = (2)^2
center = (-2, 3)
radius = 2
Answer:
(0, - 4 )
Step-by-step explanation:
under a counterclockwise rotation about the origin of 180°
a point (x, y ) → (- x, - y ), hence
C(2, 4) → (- 2, - 4)
A translation of 2 units to the right means add 2 to the original x- coordinate while the y-coordinate remains unchanged.
(- 2, - 4 ) → (- 2 + 2, - 4 ) → (0, - 4 )
Answer:
12 foot.
Step-by-step explanation:
Given that,
A ladder leans a 15 foot ladder against a second story window.
The distance on the ground between the base of the ladder and the house is 9 feet.
We need to find the height of the ladder. Let it is h.
If we consider a right angles triangle such that 15 foot is hypotenuse, 9 feet is base, then we need to find the perpendicular height of the triangle. Using Pythagoras theorem to find it.
So, the height of the ladder that reaches the second story window is 12 foot.
<span>57.1428571429% (without rounding it of)
with rounding it of- 58% as the last no. is 9 </span>
Answer:
1 1/2
Step-by-step explanation:
1.) First find the common denominator of the 2 fractions (8) 4: 4
8: 4, 8
2.) then you write a new expression with the numerator left blank and the denominator as 8 shown below in the step by step explanation. /8 + /8
3.)3/8 + 2/4 multiply by 1 both numerator and denominator for the first fraction. And multiply by 2 both numerator and denominator for the second fraction. 3/8 + 4/8.
4.) Then you add those 2 fractions which I assume you already know how by adding the numerators together, and get 12/8.
5.) You simplify 12/8 and get 1 4/8. 4/8 is equal to 1/2 so its 1 1/2.
