Answer:
Base: 8cm. Height: 21cm
Step-by-step explanation:
We know that the base of a rectangle is 13 cm. longer than the height and the perimeter is 58 cm. Here is how we would set up the problem:
2x+2(x+13)= 2x + 2x + 26 = 4x + 26 = 58 (now we use the distributive property:
4x + 26 = 58
-26 -26
4x = 32
So, the base is 8 cm.
Now it's time to find the height.
So, we know the base (in total) is 16 cm. Now we do 58-16=42. Now we divide 42 divided by 2 = 21 cm.
Answer:
f(x) = (8/3)x(x - 1).
Step-by-step explanation:
The vertex form of the function is
y = a(x - 1/2)^2 - 2/3 where a is some constant.
Now the roots are 0 and 1 so
For x = 0
0 = a(-1/2)^2 - 2/3
1/4 a = 2/3
a = 2/3 / 1/4 = 8/3.
So the function is
f(x) = (8/3)(x - 1/2)^2 - 2/3.
3 f(x) = 8(x - 1/2)^2 - 2
= 8(x^2 - x + 1/4) - 2
= 8x^2 - 8x + 2 - 2
3 f(x) = 8x(x - 1)
f(x) = (8/3)x(x - 1).
Answer:
It is a function
Step-by-step explanation:
The x values are different; if they were to be the same, such as (1,7),(2,8),(1,9) it would be incorrect.
Answer:
There is no M but I think that the value is 15 degrees
Step-by-step explanation:
Answer:
C) ½
Step-by-step explanation:
P(C and D) = 150/300
= ½