Answer:
y = 1.5x + 1.5
Step-by-step explanation:
First, plot 2x + 3y = 15 on a graph. Then plot (1,3) on a graph. After that, draw a line that passes through (1,3) and forms 90 degrees angles with 2x + 3y = 15. Then find the equation of that line by finding the y-intercept (0, 1.5). Then head up to the intersection point (1.6153846153846, 3.9230769230769). Subtract 1.5 from y. (2.4230769230769) Then divide by 1.5 (1.6153846153846). Reverse the operations you just did (in reverse order) to get the equation y = 1.5x + 1.5.
(I don't know how to explain this too well. Here's a graph to make more sense of it.)
Answer:
a = -20
Step-by-step explanation:
In this question, you would solve for "a".
Solve:
8(a + 30)=80
Use the distributive property.
8a + 240 = 80
Subtract both sides by 240
8a = -160
Divide both sides by 8.
a = -20
Your final answer would be a = -20
Since it's a rectangle, each angle equals to 90 degrees, since total degrees 360 divided by 4 is 90 degrees.
So,
![2x = 90 \\ x = 90 \div 2 \\ x = 45](https://tex.z-dn.net/?f=2x%20%3D%2090%20%5C%5C%20x%20%3D%2090%20%5Cdiv%202%20%5C%5C%20x%20%3D%2045)
Answer : x = 45
Hope this helps. - M
The representative sample would be expected to have 6 blue marbles 8/24:2/x