Answer:
D) radical 26
Step-by-step explanation:
So this is a question where you need to find the hypotenuse of a triangle
the sides are 1 and 5
you can use Pythagoras (a^2+b^2=c^2)
substitute the values in
1^2+5^2=c^2
simplify the exponents
1+25=c^2
add them together
26=c^2
take the square root of 26
the answer is radical 26
Graphing is one way to do the problem.But sometimes, graphing it is hard to do.So here’s an algebraic method.
If M(m1, m2) is the midpoint of two points A(x1, y1) and B(x2, y2),then m1 = (x1 + x2)/2 and m2 = (y1 + y2)/2.In other words, the x-coordinate of the midpointis the average of the x-coordinates of the two points,and the y-coordinate of the midpointis the average of the y-coordinates of the two points.
Let B have coordinates (x2, y2) in our problem.Then we have that 6 = (2 + x2)/2 and 8 = (3 + y2)/2.
Solving for the coordinates gives x2 = 10, y2 = 13
It is necessary when you are getting into multiplying from the outside of parenthesis and multiplying variables inside of parenthesis.
ex: 5(3 + 3x)
5 * 3 = 15
5 * 3x = 15x
so final set up would be 15 + 15x
I = PRT.....rearrange.....P = I / RT
P = 51 / (0.0425* 2).....I used 2 because 24 months = 2 yrs
P = 51 / 0.085
P = 600 <===
Answer:
a. 3/5 liters per hour
b .06 hours
Step-by-step explanation:
Change 40 minutes to a fraction of an hour
40 minutes/ 60 minutes = 2/3 hour
It takes 1 2/3 hours to fill the container
Changing to an improper fraction
(3*1+2)/3 = 5/3 hours
We want liters per hour
1 liter per 5/3 hours
1 ÷ 5/3
Copy dot flip
1 * 3/5 = 3/5 liters per hour
Change 100 ml to liters
We know 1000 ml = 1 lt
100 ml * 1 lt/1000 ml = .1 lt
So 100 ml = .1 lts
.1 lt * 3/5 lt per hour
Changing the fraction to a decimal
.1 lt * .6 lt per hour
.06 hours
