D= {-1}
R= {4,9,15,0}
Function? No, the relation is not a function.
Answer:
This linear system has one solution.
Step-by-step explanation:
First equation: y = x + 2
Second equation: 6x - 4y = -10
Let's change the second equation in slope-intercept form y = mx + b.
<u>Slope-intercept form</u>
y = mx + b
m ... slope
b ... y-intercept




If two lines have the <em>same slope </em>but <em>different y-intercept</em>, they are parallel - <u>system has no solutions</u>.
If two lines have the <em>same slope</em> and the <em>same y-intercept</em>, they are the same line and are intersecting in infinite many points - <u>system has infinite many solutions</u>.
If two lines have <em>different slopes</em> then they intersect in one point - <u>system has one solution</u>.
We see that lines have different slopes. First line has slope 1 and the other line has slope
. So the system has one solution.
You can also check this by solving the system.
Substitute y in second equation with y from first.
6x - 4y = -10
6x - 4(x + 2) = -10
Solve for x.
6x - 4x - 8 = -10
2x = -2
x = -1
y = x + 2
y = -1 + 2
y = 1
The lines intersect in point (-1, 1). <-- one solution
Answer:
(1, 3)
Step-by-step explanation:
The first endpoint (the one on the left) is (-3, 2). The second endpoint (the one on the right) is (5, 4). To find the midpoint, find the middle of both x and y. To do that, add the values of x and y respectively and divide by 2:
for x-value of midpoint:
(x-value of first endpoint + x-value of second endpoint) / 2
= (-3 + 5) / 2
= 2 / 2
= 1
for y-value of midpoint
(y-value of first endpoint + y-value of second endpoint) / 2
= (2 + 4) / 2
= 6 / 2
= 3
I would say it represents the volume function evaluated at r=5/7, or
V(5/7)=(4/3)π(5/7)² = 2.13714