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
3(2m+12) -4m = 20 -3(3m+5)
Step 1. Distribute 3 to (2m+12) and -3 to (3m+5)
Distribution property:
When you are distributing, you multiply the outside number by the numbers inside. For example,
-1(4-2)
-1 times 4, -1 times -2
-4, 2 (negative times negative =positive)
Then you would get
-4+2. You do not distribute with multiplication and division. So then we would do this with our numbers.
6m+36 -4m = 20 -9m-15
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Step 2. Simplify by adding like terms.
Like terms:
Terms are separated by operation symbols (+,-,*,➗). Like terms are terms with the same variable next to it. 5a and 6a are like terms. Terms with no variables at all are also like terms. 5 and 6 are like terms. 8a and 7 are not like terms. 9a and 9b are not like terms.
6m+-4m= 2m. 20+(-15)=5
_____
2m+36=5-9m
Step 3. Add 9m to both sides
11m+36=5
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Step 4. Subtract 36 from both sides
11m=-31
____
Step 5. Divide by 11
m=-31/11
If you can please provide brainliest. I took 30 minutes doing this.
You can multiply 16 times what equls 88 and then divide by 4 much more simple than it sounds and also your in high school and u cant solve this problem
Answer:
it couldn't be uploaded so I just added in attachment!