Answer:
1st Graph:
Add all the numbers (Do the same to 2nd Graph)
Then add
answer will be shown
Answer:
x = ±6
Step-by-step explanation:
x^2/4=9
Multiply by 4 on each side
x^2/4 *4=9*4
x^2 = 36
Take the square root of each side
sqrt(x^2) = ±sqrt(36)
x = ±6
Answer:
You just read it
Step-by-step explanation:
Answer:
<h3>C. They are both perfect squares and perfect cubes.</h3>
Step-by-step explanation:
Perfect squares are numbers that their square root can be found easily without any remainder.
Given the following patterns;
1*1 = 1 and 1*1*1 = 1
It can be seen that 1 is 1 perfect square since 1*1 = 1² = 1
Also 1 is perfect cube since 1*1*1 = 1³ = 1 (cube of the value gives 1)
Similarly for the expression;
8*8 = 64
8² = 64 (since the square of 8 gives 64, then 64 is known to be a perfect square)
Also 4*4*4 = 64
i.e 4³ = 64 (This shows that the cube root of 64 is 4 making it a perfect cube since we can get a whole number for the cube root of 64)
The same is applicable for other expressions 729 = 27 × 27, and 9 × 9 × 9, 4,096 = 64 × 64, and 16 × 16 × 16
This values are easily expressed as a constant multiple of a number showing that they are both perfect squares and perfect cubes.
Answer:
Part a) The quadratic function is
Part b) The value of x is
Part c) The photo and frame together are wide
Step-by-step explanation:
Part a) Write a quadratic function to find the distance from the edge of the photo to the edge of the frame
Let
x----> the distance from the edge of the photo to the edge of the frame
we know that
Part b) What is the value of x?
Solve the quadratic equation
The formula to solve a quadratic equation of the form
is equal to
in this problem
we have
so
substitute in the formula
-----> the solution
Part c) How wide are the photo and frame together?