The system of equations has infinitely many solutions
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
-3x + 3y = 12 ------- eqn 1
y = x + 4 --------- eqn 2
We have to find the solution to the system of equations
We can use substitution method
Substitute eqn 2 in eqn 1
-3x + 3(x + 4) = 12
-3x + 3x + 12 = 12
-3x + 12 = -3x + 12
If we have terms with same terms on both sides of equal sign, then we have infinitely many solutions
Thus the system of equations has infinitely many solutions
Answer:
See below
Step-by-step explanation:
The first two questions are slope = 0
a horizontal line has zero slope
slope = rise/run = 0 / run = 0
Greatest y value is + 4 from x = 3 to 4
the least y value is -3 fro x = -4 to -3
60% if there are only 10 white and black balls
Answer:
I'm unsure of the answer but here's how to solve it yourself :)
Step-by-step explanation:
area of a prism is obtained by taking the sum of (twice the base area) and (the lateral surface area of the prism). The surface area of a prism is given as S = (2 × Base Area) + (Base perimeter × height) where "S" is the surface area of the prism.
Answer:
y+7 = -3 ( x-4)
Step-by-step explanation:
First find two points on the graph to find the slope
( 1,2) and ( 3,-4)
The slope is given by
m = ( y2-y1)/(x2-x1)
m = ( -4-2)/(3-1)
= -6/2
=-3
We can use the point slope form
y - y1 = m(x-x1) where m is the slope and x1,y1 is a point on the line
We have two choices with a slope of -3
We can either use and x coordinate of -2 or 4
for -2, the y coordinate is not shown
for 4 , the y coordinate is -7
Using ( 4, -7) and m = -3
y--7 = -3( x- 4)
y+7 = -3 ( x-4)
