Step-by-step explanation:
f(x) = x^2
g(x)= 1/3 f(x) = 1/3 x^2
First lets make a table for f(x)= x^2
Lets pick some numbers for x and find out y
x y=x^2
-3 (-3)^2 = 9
-1 1
0 0
1 1
3 9
Now we use the same x values and make a table for g(x)
x 
-3 
-1 
0 0
1 
3 
Graph the above table
Step-by-step explanation:
y is easy.
it is the Hypotenuse (baseline) of the small right-angled triangle created by the height (8) of the main triangle, the segment 6 of the main Hypotenuse and y.
so, Pythagoras :
y² = 8² + 6² = 64 + 36 = 100
y = 10
x is a bit more complex.
I think the easiest way to get it is to know that the height of a right-angled triangle to the Hypotenuse is the square root of the product of both segments of the Hypotenuse.
so, if we call the segments of the Hypotenuse a and b with a = 6, we have
x = a + b = 6 + b
height (8) = sqrt(a×b) = sqrt(6b)
therefore,
6b = height² = 8² = 64
b = 64/6 = 32/3 = 10 2/3 = 10.66666666...
so,
x = 6 + 10.66666... = 16.666666666...
round it to what is needed. e.g. 2 positions after the decimal point (hundredths) ? then it would be 10.67
Answer:
(11r + 8t)(11r - 8t)
Step-by-step explanation:
difference of two squares
Answer: So Kate has 2/3 yard is fabric which is equal to 24 inches and if each flag requires 1/6 yards of fabric it would equal 12 inches. So all in all Kate can make 2 flags. Hope that helped.
Step-by-step explanation:
Step-by-step explanation:
(31x-11)-15x=DF
DF= 16x-11
