Answer:
The equation that best represents the line that is parallel to 3x - 4y = 7 and passes through the point (-4, -2) is y = 3/4x + 1.
Step-by-step explanation:
3x - 4y = 7 and (-4, -2)
First, solve for y in the equation:
3x - 4y = 7
-4y = -3x + 7
4y = 3x - 7
y = 3/4x - 7/4
m = 3/4 (This will be the slope of the parallel line.) and (-4, -2)
Use the point-slope equation to find the equation that will best represent a parallel line:
y − y1 = m(x − x1)
y - -2 = 3/4(x - -4)
y + 2 = 3/4x + 3 (the 4s cancel out)
(3/4 x 4/1 = 3)
y = 3/4x + 1
The graph that I attached is what these two equations would look like graphed. I am not sure what you mean by two options, I'm sorry!
Answer:
1680 possible pizzas
Step-by-step explanation:
Pizza contains 2 different meat and 3 different vegetables.
If there are 5 meats and 8 vegetables, the customer can select any one of 3 types of crust.
Total number of ways to select meat = 5C2
nCr = n! /(n-r)! r!
5C2 = 5! / (5-2)!2!
= 5! / 3!2!
= 10
Total number of ways to select vegetables = 8C3
= 8!/(8-3)!3!
= 8! / 5!3!
= 56
Total number of pizza choice that can be made = 3 * 5C2 * 8C3
= 3*10*56
= 1680 possible pizza
Answer:
x = 14.
Step-by-step explanation:
The other 2 opposite angle are both equal to 70 degrees.
So 5x = 70
x = 70/5
= 14 degrees.
Answer:
960 ways
Step-by-step explanation:
Multiplication Principle: if there are n ways to do one thing and m ways to do another, then there are m x n ways to do both.
That can expand to include three things (or more).
8 x 10 x 12 = 960
Answer:
58.5mg of the vitamin in a drink
Step-by-step explanation:
We know...
130% of RDA for vitamin x >> RDA for vitamin x = 45mg >> 130% of 45 = ?? mg in a drink.
1. 130% 
2. 130% of 45 >> 
I hope this helps you?!
