Answer:
Step-by-step explanation:
<u><em>Given equation is </em></u>
<u><em></em></u>
Adding 25 to both sides
Completing squares
Both of their "b" is -3 and 4 respectively
So, adding (-3)² => 9 and (4)² => 16 to both sides
Comparing it with , where center = (h,k) and radius = r.
We get:
Center = (-3,4)
Radius =
Answer:
The maximum number of gumballs you can buy is 10
Step-by-step explanation:
Let
x ---->represents the number of gumballs you can buy
we know that
The number of gumballs you can buy multiplied by it cost must be less than or equal to $2.50 (two dollars and 50 cents)
so
The inequality that represent this situation is
solve for x
Divide both sides by 0.25
therefore
The maximum number of gumballs you can buy is 10
Answer:
4/ 5 x 2^x
Step-by-step explanation:
2^x +4-2^x / 5^2
First we multiply everything by 5^2/5^2
2^x + 4-2^x (5^2x) / (5^2)(5^2)
= 2^x + 4-2^x 5^2x we see 2 x 5^2
= 2^x+4-2 x 5^2x +5^2x / (5^2)(5^2x) 2^x cancels with 2^x as subtraction and 5^2x base cancels with top also
= 4/ 5 x 2^x
Answer:
C
Step-by-step explanation:
-Since dot or where the line originates is at 4 we know the answer will have the number 4.
-The dot is hollow, meaning it does not include the number it is on. So it cannot be "blank and equal to."
-Since the arrow points towards the right, we know it wants all values greater than 4, so we do: x>4.
-Back to my second point, we know it is not D because the dot is open and it does not include 4, so it cannot be equal to it.
Answer:
Step-by-step explanation:
When working with 45-45-90 triangles the hypotenuse is the same as the other legs multiplied by root 2. Therefore if you need to find the legs and already have the hypotenuse, divide the hypotenuse by root 2.
10/ sqrt(2) = 7.1 is the rounded answer.
to double check your work just multiply 7.1 by the square root of 2 and you'll get <em>close</em> to 10. (because the answer is rounded and not exact.)