Answer:
True
Step-by-step explanation:
**plug it in using the Pythagorean Theorem**
6^2+8^2= 10^2
36+64=100
100=100 (true)
Answer:
The number of liters of 25% acid solution = x = 160 liters
The number of liters of 40% acid solution = y = 80 liters
Step-by-step explanation:
Let us represent:
The number of liters of 25% acid solution = x
The number of liters of 40% acid solution = y
Our system of Equations =
x + y = 240 liters....... Equation 1
x = 240 - y
A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution.
25% × x + 40% × y = 240 liters × 30%
0.25x+ 0.4y = 72...... Equation 2
We substitute 240 - y for x in Equation 2
0.25(240 - y)+ 0.4y = 72
60 - 0.25y + 0.4y = 72
Collect like terms
- 0.25y + 0.4y = 72 - 60
0.15y = 12
y = 12/0.15
y = 80 Liters
Solving for x
x = 240 - y
x = 240 liters - 80 Liters
x = 160 liters
Therefore,
The number of liters of 25% acid solution = x = 160 liters
The number of liters of 40% acid solution = y = 80 liters
Which of the sets of ordered pairs represents a function? (4 points) A = {(−4, 5), (1, −1), (2, −2), (2, 3)} B = {(2, 2), (3, −2
elena55 [62]
A function will not have any repeating x values....it can have repeating y values, just not the x ones
(-4,5),(-1,1),(2,-2),(2,3)
this is not a function because it has 2 sets of points that has x as 2...so it has repeating x values
(2,2),(3,-2),(9,3),(9,-3)
this is not a function because it has 2 sets of points that has an x value of 9...so it also has repeating x values
so both of these are not functions.....neither of them
The triangle that is formed by AMB is a 45 45 90 triangle, so meaning the legs are equal. so in can be concluded that AD = MD, since M is the midpoint of CD, then CD = 2AD
CD = 2(6) = 12 cm
so the perimeter is of the rectangle ABCD is
P = 2l + 2w
P = 2(6) + 2(12)
P = 12 + 24
P = 26 cm
