To simplify that expression, you need to combine line terms so in order for you to go that, you would need to combine -9n, +4n, and -10n
You would get: 16m-15n
The correct answer is A, smaller than the size you started with. Because you increased the size by 30% of the original page, and then took 30% of the larger page, you're taking more away than you increased it by. For instance, if you had a page that was 60 units², and you increased it by 30% (18 units), you would get 78 units². However, if you took 30% of 78 (23.4) and subtracted it, you would get 54.6 units², which is smaller than 60 units².
Hope this helps!
Rectangle is length multiplied by breadth
Answer:
e) 294 children
Step-by-step explanation:
Since there are 394 children in total and 169 do not like either ice-cream, the number of children who likes at least 1 ice cream is
394 - 169 = 225 children
Out of 225 children, 150 like pistachio icecream, some of them may like both. Therefore the number of children who likes ONLY chocolate icecream is
225 - 150 = 75 children
Similarly, out of 225 children, 175 like chocolate icecream, some of them may like both. Therefore the number of children who likes ONLY pitaschio icecream is
225 - 175 = 50 children
So the total number of children who like at most only 1 kind of ice cream is
75 + 50 + 169 = 294 children
We do the midpoint formula to find the center of the circle to get the left side of the equation.
Midpoint = [(X₁ + X₂) / 2 , (Y₁ + Y₂) / 2]
Now plug in:
[(8 + 4) / 2 , (- 6 - 2) / 2]
(12 / 2 , - 8 / 2)
(6, - 4)
The center of the circle is (6, -4)
Now we plug it into the equation of a circle:
(x - h)² + (y - k)² = r² where (h, k) is the center of the circle and r is the radius.
(x - 6)² + (y + 4)² = r² is the left side of the equation. This will eliminate options A and C
Now we do the distance formula using the center and an endpoint to get the radius. The formula for distance is:
√((X₂ - X₁)² + (Y₂ - Y₁)²)
We plug in using either of the endpoints.
√((4 - 6)² + (- 2 - (- 4))²)
√((-2)² + 2²)
√(4 + 4)
√8
√8 is your radius
(√8)² = 8
Your correct answer is (x - 6)² + (y + 4)² = 8, Option D
