Answer:
A parallelogram has 180 degrees of rotational symmetry
As your -2 is directly affecting the x with addition/subtraction, it is a translation horizontally. To find direction, change the sign, from negative to positive, making it go right. This means it will be translated 2 units to the right, fitting the first statement. For your +5, it is not directly affecting the x, making it a translation vertically. As it's positive, it goes up, making it a translation 5 units up, fitting statement 4. This makes your correct statements 1 and 4.
The answer to the question
<span>Dr. Graham currently has two acid solutions.
60% acid AND 20% acid </span>
Dr. Graham needs 30 L of a 50% acid solution
We set up 2 equations in which s = 60% acid and t = 20% acid
A) s + t = 30
B) .60s + .20t = (.50 * 30)
We multiply equation A by -.20
A) = -.20s -.20t = -6 then we add it to B)
B) .60s + .20t = 15
.40s = 9
s = 22.5
t = 7.5
So, she needs to mix 22.5 liters of 60% acid with 7.5 liters of 20% acid.
Source:
http://1728.org/mixture.htm
Answer:
(0, 1)
Step-by-step explanation:
In the picture attached, the question is shown.
From the picture:
- x2 = -4 (x-coordinate of the endpoint)
- y2 = 9 (y-coordinate of the endpoint)
- x1 = 2 (x-coordinate of the startpoint)
- y1 = -3 (y-coordinate of the startpoint)
Ratio m:n, means that m = 1 and n = 2.
Replacing into the formulas:
x-coordinate = m/(m+n) * (x2- x1) + x1 = 1/3 * (-4 - 2) + 2 = 0
y-coordinate = m/(m+n) * (y2- y1) + y1 = 1/3 * (9 - (-3)) + (-3) = 1
