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.
All the points if they lay on top of eachother
if they arent on top of eachother, they can intersect at 2 points
It is true because it passes the horizontal line test
Answer:
PST=80
Step-by-step explanation:
So we know that angle R=130 and because this is a parallelogram we can assume angle SPQ also equals 130 and knowing that we can find that angle RQP and RSP are equal both equal to 50 and since we know that RSP=50 we know SPT is also 50 because of alternate angles. SPT is an equilateral triangle so we also know that angle T is 50 degrees. All triangles degrees equal 180 so we can set up the problem the angle SPT(50) + the angle STP(50) + The angle PST(x) = 180 50+50=100 so it is 100+x=180 -100 PST(x)=80
Answer:
She'll receive $6.53.
Step-by-step explanation:
First add everything she purcahsed.
1.22 + 1.48 + 7.98 + 2.79 = 13.47
Then subtract that from how much she paid.
20 - 13.47 = 6.53
So 6 dollars and 53 cents.
