Answer:
12 inches
Step-by-step explanation:
Raj tested his new flashlight by shinning it on his bedroom wall the beam of the light can be described by the equation (x^2-2x) + (y^2-4y) - 31=0. how many inches wide is the beam of light on the wall
Solution
Given:
(x^2-2x) + (y^2-4y) - 31=0
By completing the square
(x^2-2x) + (y^2-4y) - 31=0
(x^2-2x+1-1) + (y^2-4y+4-4)-31=0
(x-1)^2 -1 + (y-2)^2 - 4 - 31=0
(x-1)^2 + (y-2)^2 - 1 - 4 - 31=0
(x-1)^2 + (y-2)^2 - 36=0
(x-1)^2 + (y-2)^2=36
Writing the equation in the form: (x-h)^2+(y-k)^2=r^2
(x-1)^2+(y-2)^2=6^2
From the above, r=6
Where,
r=radius
how wide is the diameter ?
radius=6
Diameter= 2 × radius
=2×6
=12 inches
Answer:
<u><em>∛16</em></u>
Step-by-step explanation:
First, remember that the denominator always goes outside the radical and the numerator inside. so with that, it looks like this.
∛2^4
simplify.
<u><em>∛16</em></u>
Answer:

Step-by-step explanation:
<u>refer</u><u> the</u><u> attachment</u>
let the height be h
since we are given the adjacent side and want to figure out opposite side we'll use tan function
so our equation is

cross multiplication:

by using calculator we acquire:

hence,
about <u>5</u><u>3</u><u>.</u><u>6</u><u>f</u><u>t</u> high in the tree ate monkeys
Answer: floating variable.
Step-by-step explanation: