Answer:
Choice 1. -3x + 2y = 5.
Step-by-step explanation:
The slope of the line = y2-y1/x2-x1
= (4 - 1) / (1 - (-1))
= 3/2.
To find the equation of the line we use the point-slope form of the equation of a line:
y - y1 = m(x - x1) where m = slope and (x1, y1) is a point on the line. So using m = 3/2 and the point (1, 4):
y - 4 = 3/2(x - 1)
y - 4 = 3/2 x - 3/2
Multiply through by 2:
2y - 8 = 3x - 3
-3x + 2y = -3 + 8
-3x + 2y = 5 (answer).
a writer will use a for the informal language
Answer:
parallelogram
Step-by-step explanation:
Parallelograms have two pairs of parallel sides and no right angles.
First, let x be the number of hours it will take for Hector to finish the same job alone. This means that every hour, Hector can do 1/x of the job. The amount of work done by Shawn and Hector in 6 hours should be equal to 1 complete work. This can be expressed as,
(1/9 + 1/x)(6) = 1
The value of x is 18. Thus, Hector can to 1/18 of the job in one hour.
Answer:
There are 180 marbles in the jar
Step-by-step explanation:
Let x = number of marbles in the jar
x * 25% = number of red marbles
x * .25 = 45
Divide each side by .25
x *.25/.25 = 45/.25
x =180
There are 180 marbles in the jar
