$1.95 x 18
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!
B) y= 2(x + 5)
C) x - 3y = 0
D) x= y + 3
Answer:
C
Step-by-step explanation:
Direct variation is a special case of first order equations; in both cases, the input is multiplied by a constant which we call the "slope" or "constant of variation." However, no direct variation equation includes a constant ("y-intercept"). So, if a given equation does have a y-intersect, that equation does not represent direct variation; if it does NOT have a y-intercept, that equation represents direct variation.
A) involves a constant term, -2; NOT direct variation
B) involves a constant term, 10; NOT direct variation
C) Here 3y = x, or y = x/3, involves no constant term, so Does represent direct variation
D) involves a constant term -3; NOT direct variation
Answer:
Step-by-step explanation:
If traingles are similar, then corresponding sides are in proportion:
cross multiply
divide both sides by 40
Answer:
9.7 rounded to 10
Step-by-step explanation:
I'm pretty sure 10 would be the answer, because since they are similar triangle you would cross multiply. So you would do , you would the cross multiply 23×17 and 40×X. You would then have 40X=391, so you would divide 391÷40, so X=9.7 or 10
You will have the points: (0,0) and (1,10) and (2,20) and (3,30) etc etc
Plot at least 2 of these points. Then draw a line through them.
Each point has an x,y pair such that the y value is ten times the x value
For example, if x = 2, then
y = 10*x = 10*2 = 20
so that shows how (2,20) is one of the points.
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The domain would be the set of positive whole numbers assuming Tyler can only work a whole number of hours. If partial time values are accepted, then the domain would be the set of positive real numbers. Negative x values are not allowed as Tyler can't work negative 3 hours for instance.
In a similar fashion, the range is the set {0, 10, 20, 30, 40, ...} incrementing by multiples of 10 if x is the set of positive whole numbers. If x is the set of positive real numbers, then y can be 0 or larger which sets up the range of y being the set of positive real numbers as well.