Answer:
13 units
Step-by-step explanation:
Use the distance formula, d =
, where (x2, y2) and (x1, y1) are two different points on the line.
Plug in the values:
d = 
d = 
d = 
d = 
d = 
d = 13
Answer:
The answer is C.
Step-by-step explanation:
Hit 'em with the Law of Sines.
sin(A)/a = sin(B)/b.
Let's say x is equal to "A", thus 5 is "a".
sin(x)/5 = sin(B)/b.
We could go for the obvious choice for "B", which would be the 90 degrees shown. To solve for the hypotenuse which will be "b", let's use the Pythagorean Theorem:
a^2 + b^2 = c^2
5^2 + 20^2 = c^2
25 + 400 = 425
sqrt(425) = about 20.6, which we can now substitute "b" with.
sin(x)/5 = sin(90)/20.6
sin(x)/5 = 1/20.6
sin(x)/5 = 0.04854...
sin(x) = 0.2427...
You can plug in sin^-1(0.2427) into your calculator, and you should end up with something like 14.047... which equates to answer choice C.
Answer:
The average rate of change from 2 < x < 3 is -3.
Step-by-step explanation:
f(2) = 13
f(3) = 10
Answer:
3 hr. 45 min.
Step-by-step explanation:
Answer:
Each pizza costs $12.
Each drink costs $2.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the cost of each pizza.
y is the cost of each drinks.
The Talbot family got 2 pizzas and 4 drinks for $32.
This means that 
The Martinez family got 3 pizzas and 8 drinks for $52.
This means that 
Using the addition method, multiplying the first equation by -2.
-4x - 8y = -64
3x + 8y = 52
-4x + 3x - 8y + 8y = -64 + 52
-x = -12
x = 12
Each pizza costs $12.
2x + 4y = 32
2x + 4y = 32
4y = 32 - 2x
4y = 32 - 2*12
4y = 8
y = 2
Each drink costs $2.