Answer:
a² + b²
Step-by-step explanation:
(a + b)² - 2ab ← expand parenthesis using FOIL
= a² + 2ab + b² - 2ab ← collect like terms
= a² + b²
Answer:
Step-by-step explanation:
Total members = 14
Each member:
Peaches = 3
Pint of cream = 1
Cost
Peaches = x cent
Pint of cream = 46 cent
46 cent = $0.46
Cost per member = 3(x cent) + 0.46
= 3x cent + 0.46
Total cost for all members = 14(3x cent + 0.46)
= 42x cent + 6.44
Answer:
- The diagram bar is attached.
- Addition equation: 
- Multiplication equation: 
- How are the equation related? Each equation shows 3 groups of 7.
Step-by-step explanation:
We know that Jan buys 3 bags of beads and each bag contains 7 beads, then, you can draw the bar diagram shown attached.
Observe that the diagram has 3 blocks (each block represents a bag of bead) and there is a number 7 inside of each block (which is the number of beads contained in a bag).
Therefore:
- Add the numbers inside the blocks in order to get the addition equation that shows the number of beads Jan buys. This is:

- Multiply 3 blocks by 7 in order to get multiplication equation that show the number of beads Jan buys:

The equations are related. Each one shows 3 groups of 7.
Answer:
the slope-intercept equation of a line that passes through the coordinate (-4,5) and (8,-1) is

Step-by-step explanation:
1) Apply the slope formula; y^2 - y^1 divided by x^2 - x^1
y^2 is -1
y^1 is 5
x^2 is 8
x^1 is -4
-1 - 5 = -6
8 - (-4) = 12
-6/12 is -1/2 or -0.5
2) To find the y-intercept, hoose either of the coordinates and replace y, m, and x in the y= mx+b formula.
5= -0.5(-4) + b
5= 2 + b
3= b