Answer: Y = - 4 & x = 1
Step-by-step explanation:
Systems of linear equations: We will solve this using substitution but you can use 2 more ways.
7x + 2y = -1
2x - 4y = 19
Leave X alone first: -------------------
10x - 2y = 18
10x/10 = 18 + 2y/10
x = 9/5 + y/5
Solve for y:
7(9/5 + y/5) + 2y = -1
63/5 + 7y/5 + 2y - 1
63/5 + 7y/5 = 10y/5 = -1
63/5 + 17y/5 = -1 (-5/5)
17y/5 = -68/5 (cancel the 5)
y = -68/17
y = - 4 (Your Answer)
7x + 2(- 4) = -1
7x + (-8) = -1
7x = 7
x = 1
CHECK=
7(1) + 2(-4) = -1
7+ (-8) = -1.
-1=-1
The middle section is n(n+1)
The top row is n+2
The bottom row is 2n+1
So the rule for the total number of tiles will be the sum of the above rules...
s(n)=n(n+1)+n+2+2n+1
s(n)=n^2+n+n+2+2n+1
s(n)=n^2+4n+3
Answer:
The slope is 1/2
Step-by-step explanation:
The rate of y over the rate of x so it would be y/x. You put the equation y2-y1/x2-x1
Which would look like -3-3/-4-8= -6/-12=6/12 and then you simplify it to 1/2
Any
in this set will be real numbers that are both less than
and greater than
. But that's not possible, so this set is empty.
Answer:
Question 4: Which equation is parallel to the above equation and passes through the point (35, 30)
is the correct answer, I found this by inputting the x and y value of the coordinate (35, 30) onto the equation and solving for y-intercept since the slope of all equations is the same (since it's traveling parallel)
so the equation would be
Question 5: Which equation is perpendicular to the above equation and passes through the point (35, 30)
is the correct answer, I found this using the same method as before, input coordinate values into the equation and solve for the y-intercept (The only thing changed from the last answer is the opposite reciprocal slope).
so the equation would be
