The similarity ratio is 20/10 = 2, so x can be found as:
10/2 = x = 5
Answer:
x = 20
Step-by-step explanation:
To solve this problem we first observe the Pythagoras equation. If a= 16 and b=12 are the lengths of the legs of a right triangle and c=x is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
This relationship is represented by the formula: a*a + b*b = c*c
= x
For this problem, we can use systems of equations. I will use the variables <em>x </em> (for ice-cream) and <em>y</em> (for soda). We get the system:
2.25x+0.75y=30.00
x+y=18
Putting the second equation in terms of y, we get that y=-x+18. We can substitute this into our first equation.
2.25x+0.75y=30.00
becomes
2.25x+0.75(-x+18)=30
Solving for x, we get that x=11. This satisfies answer B.
However, if you want to check to see if this is correct, you could find y by plugging in your value of x into the first equation, then check to see if your found values satisfy BOTH equations.
2.25(11)+0.75y=30
24.75+0.75y=30
0.75y=5.25
y=7
Then we plug this into both equations to see if they are true.
2.25(11)+0.75(7)=30
24.75+5.25=30
30=30 (This is true)
x+y=18
11+7=18
18=18 (This is true).
Both equations are true, so the value for x and y are correct. We see that only answer B is supported through analyzing your work.
:)
Answer: 1 x 10^3
Step-by-step explanation:
The answers are E.) y-int is (0,4), F.) domain of F(x) is all rel numbers , and C.) it is increasing
