Answer:
k = -9.
Step-by-step explanation:
As the triangle is right-angled at Q, by Pythagoras:
PR^2 = PQ^2 + RQ^2
So, substituting the given data and using the distance formula between 2 points:
(7 - 1)^2 + (k - 4)^2 = (-4-4)^2 + (-3-1)^2 + (7 - (-3))^2 + (k - (-4))^2
36 + (k - 4)^2 = 64 + 16 + 100 + ( k + 4)^2
(k - 4)^2 - (k + 4)^2 = 180 - 36
k^2 - 8k + 16 - (k^2 + 8k + 16) = 144
-16k = 144
k = -9.
Answer:
The area of the triangle is 36 square units
Step-by-step explanation:
First you can make the graph to set up the problem. You then plot the point 3,6 (A). You then reflect this over the Y axis which would be the point -3,6 (B). Point A is then reflected over the X axis to give you 3,-6 (C). You then multiply their total lengths 12 and 6 which is 72. Then you divide 72 by 2 because it is a triangle to get 36
Answer:
8x+2y=68
If this doesn't answer your question, please comment so that I can help you.
-1/12 - (-11/12) would change into -1/12 + 11/12 because a double negative (bold print) would become a positive. The answer to the new problem would be 10/12 or 5/6 (depending on if it says to simplify).
Answer:
B
Step-by-step explanation:
Divide one sample of jumping jacks by each girl by their time to find the unit rate. Then compare unit rates. Recall, a unit rate is the number of jumping jacks done in one minute. Cortney does 15 jumping jacks in 1 minute in the first entry of the table. Mallory does 60 jumping jacks in 5 minutes according to a point on the graph. Divide 60/5=12. She does 12 jumping jacks per minute. Thus Cortney does 3 more per minute.
