Answer:
The equations shows a difference of squares are:
<u>10y²- 4x²</u> $ <u>6y²- x²</u>
Step-by-step explanation:
the difference of two squares is a squared number subtracted from another squared number, it has the general from Ax² - By²
We will check the options to find which shows a difference of squares.
1) 10y²- 4x²
The expression is similar to the general form, so the equation represents a difference of squares.
It can be factored as (√10 y + 2x )( √10 y - 2x)
2) 6y²- x²
The expression is similar to the general form, so the equation represents a difference of squares.
It can be factored as (√6y + x )( √6y - x)
3) 8x²−40x+25
The expression is not similar to the general form, so the equation does not represent a difference of squares.
4) 64x²-48x+9
The expression is not similar to the general form, so the equation does not represent a difference of squares.
Answer:
D
Step-by-step explanation:
a) Hawaii's elevation (1 ft) is greater than both the sea level and California's elevation so it is located near the top. Sea level (0 ft) is less than Hawaii's elevation (1 ft) but more than California's elevation (-120 ft). California's elevation is negative, meaning it is below sea level.
b) California's elevation < sea level < Hawaii's elevation
-120 ft < 0 ft < 1 ft
Answer:
a) 1/10
b) 110
Step-by-step explanation:
A) we start by getting the total number of rolls
That would be;
11 + 22 + 7 + 8 + 13 + 19 = 80
The frequency of getting a 4 is 8
The probability that the next roll will be a 4 is;
8/80 = 1/10
b) Firstly, we get the probability of getting a 2
We have this as:
22/80
So for 400 rolls, the number of 2’s will be;
22/80 * 400
= 22 * 5 = 110
The first answer, using a number line, is a good answer.
I have two other ways:
Way #1:
5 stones is more than 3 stones.
5 gallons is greater than 3 gallons.
5 pounds is greater than 3 pounds.
5 puppies is greater than 3 puppies.
5 hamburgers is greater than 2 hamburgers.
5 schoolbuses is greater than 3 schoolbuses.
We look around us, and we see that 5 of anything
is always greater than 3 of the same thing.
There's no reason that should change if the 'things' are eighths.
Way #2:
-- Get 2 friends to help you.
-- Take one good-size veggie pizza or coconut cream pie.
-- Carefully cut it up in eight (8) equal pieces.
Now each piece is 1/8 of the pie or the pizza.
-- Give 5 pieces (5/8) to the first friend.
Give 3 pieces (3/8) to the other friend.
-- Ask them to get together and agree on who has more.
