Part A.
You need two equations with the same slope and different y-intercepts.
Their graph is parallel lines. Since the lines do not intersect, there is no solution.
y = 2x + 2
y = 2x - 2
Part B.
We use the first equation as above. For the second equation, we use an equation with different slope. Two lines with different slopes always intersect.
y = 2x + 2
y = -2x - 2
In the second equation, y = -2x - 2. We now substitute -2x - 2 for y in the first equation.
-2x - 2 = 2x + 2
-4x = 4
x = -1
Now substitute -1 for x in the first equation to find y.
y = 2x + 2
y = 2(-1) + 2
y = -2 + 2
y = 0
Solution: x = -1 and y = 0
Answer:
A
Step-by-step explanation:
if (x1,y1) and (x2,y2) are the extremities of diameter,then eq. of circle is
(x-x1)(x-x2)+(y-y1)(y-y2)=0
reqd. eq. is (x+1)(x-5)+(y+9)(y-1)=0
center is (2,-4)
r=√(2²+(-4)²-(-14))
=√(4+16+14)
=√(34)
eq. of circle is (x-2)²+(y+4)²=34
or
(x²-4x)+(y²+8y)=14
(x²-4x+4)+(y²+8y+16)=14+4+16
(x-2)²+(y+4)²=34
Answer:
<h2>
6 1/2 lbs</h2>
Step-by-step explanation:
Given the weight of granite to be 74 26/36 lbs,
Weight of quartz is 81 9/40 lbs.
To know how much more quartz weight than the granite, we will take the difference between the weight of quartz and granite as shown.
Weight of quartz - Weight of granite
= 81 9/40 - 74 26/36
= 3,249/40 - 2690/36
= (29, 241 - 26,900)/360
= 2,341/360
= 6 181/360
≈ 6 1/2 lbs
quartz weighs approximately 6 1/2 lbs much more than granite
