Answer:
30
Step-by-step explanation:
For a = <xa, ya> and b = <xb, yb>, the dot product is the sum of products ...
a·b = (xa)(xb) + (ya)(yb)
Substituting the given information, you have ...
a·b = 5·4 + 2·5 = 20 + 10
a·b = 30
_____
Some graphing calculators can do such math. There are also dot product calculators available on the Internet. If you have quite a few of these to calculate, you can put the appropriate formula into a spreadsheet.
Answer:
x = 9.5y
Step-by-step explanation:
7 lawns = $66.50
1 lawn = $66.50 ÷ 7
= $9.50
You now know that for one lawn mowed, the amount of money earned is $9.50. Thus:
1x = 9.5y
x = 9.5y
Now, as the pizza is circular, so it does not matter about the box shape. If the box shape increases or decreases, the pizza shape is the same.
Now, we have been asked about the largest pizza radii that can fit in the box, so we will consider the shortest value of the box.
The width is given as 14 inches. There is a 2 inch border around the pizza. So, the width is 14-4 = 10 inches. (Now assume this as the diameter of pizza)
And the radius is = 
inches.
So, the largest pizza that can fit in the box will have a radius of 5 inches.
Answer:
he owes $290
Step-by-step explanation:
Hey there :)
( 2x⁵ - 3x⁴ + x² + 5x + 7 ) - ( - 4x⁵ - x⁴ - 3x² - 5x + 2 )
Let us combine like-terms
2x⁵ - ( - 4x⁵ ) - 3x⁴ - ( - x⁴ ) + x² - ( - 3x² ) + 5x - ( - 5x ) + 7 - 2
Minus and minus becomes plus
2x⁵ + 4x⁵ - 3x⁴ + x⁴ + x² + 3x² + 5x + 5x + 7 -2
6x⁵ - 2x⁴ + 4x² + 10x + 5
Your answer will be option A) 6x⁵ - 2x⁴ + 4x² + 10x + 5
