
Length of the base = 8
Length of the hypotenuse = 17

The length of the third side ''
".


Using Pythagoras theorem, we have
(Perpendicular)² + (Base)² = (Hypotenuse)²
+ (8)² = (17)²
+ 64 = 289
= 289 - 64
= 225
= 
= 
Therefore, the length of the missing side
is
.

(15)² + (8)² = (17)²
225 + 64 = 289
289 = 289
L.H.S. = R. H. S.
Hence verified.

Answer:
(7/4)(2)(2)=7
Step-by-step explanation:
Answer:
y = 50x + 200
Step-by-step explanation:
the 200 is the y intercept because it is where his pay starts, so even if Matt doesnt make any sales he will still get 200 that week
the slope (50) is determined because that is what will change
if he makes 2 sales he will make 100 + 200 that week, and if he makes 4 sales he will make 200 + 200 that week and so on
Answer:
5
Step-by-step explanation:
Assuming we want to evaluate |z|, given that, z=4+3i.
Then, by definition of modulus,



Therefore the modulus be of the given complex number is 5 units
Answer:
see below
Step-by-step explanation:
Part A
Since the lines goes through the point (0,0) the graph is proportional. We can find the rate of change by take the price of corn and dividing by the number of bushels
24/3 = 8 dollars/ bushel
Part B
Previous Year Number of Bushels Price of Corn (dollars)
3 21
6 42
9 63
12 84
We can find the rate of change for the previous year by using the slope formula
m = (y2-y1)/(x2-x1)
m = (84-63)/(12-9)
=21 / 3
= 7
The previous year was 7 dollars per bushel
The increase was 8-7 = 1 dollar per bushel