(6,-3)(-4,-9)
slope = (-9 - (-3) / (-4 - 6) = (-9 + 3) / -10 = -6/-10 = 3/5
y - y1 = m(x - x1)
slope(m) = 3/5
(6,-3)..x1 = 6 and y1 = -3
now we sub
y - (-3) = 3/5(x - 6) =
y + 3 = 3/5(x - 6) <== one answer
y - y1 = m(x - x1)
slope(m) = 3/5
(-4,-9)....x1 = -4 and y1 = -9
now we sub
y - (-9) = 3/5(x - (-4) =
y + 9 = 3/5(x + 4) <== another answer
there are 2 answers....but the only one listed is answer D
Answer:

Step-by-step explanation:
we know that
The total surface area of a cylinder is equal to

where
r is the radius of the base of cylinder
h is the height of cylinder
we have

----> the radius is half the diameter
assume

substitute the given values and solve for h


Solve for h



Answer:

Step-by-step explanation:
step 1
Find the slope of the line parallel to the given line
we know that
If two lines are parallel, then their slopes are equal
The equation of the given line is 
The slope of the given line is 
so
The slope of the line parallel to the given line is also 
step 2
Find the equation of the line parallel to the given line
The equation of the line in point slope form is

we have


substitute

step 3
Convert to slope intercept form
Isolate the variable y



Answer:
The expected value is $38.46.
Step-by-step explanation:
The probability of drawing a 10 from any suit is 4/52. Multiply this by the earnings, 500:
4/52(500) = 2000/52 = 38.46
Hope this helps!
y=3x+1
Use the slope-intercept form to find the slope and y-intercept
The slope-intercept form is y=mx+b
, where m is the slope and b
is the y-intercept.
y=mx+b
Find the values of m
and b using the form y=mx+b
.
m=3
b=1
The slope of the line is the value of m
, and the y-intercept is the value of b
.
Slope: 3
Y-Intercept: 1
Any line can be graphed using two points. Select two x
values, and plug them into the equation to find the corresponding y
values.
Choose 0
to substitute in for x
to find the ordered pair.
Replace the variable x
with 0
in the expression.
f(0)=3(0)+1
Simplify the result.
Tap for more steps...
1
The first point is (0,1)
.
(0,1)
Choose 1
to substitute in for x
to find the ordered pair.
Tap for fewer steps...
Replace the variable x
with 1
in the expression.
f(1)=3(1)+1
Simplify the result.
Multiply 3
by 1
.
f(1)=3+1
Add 3
and 1
.
f(1)=4
The final answer is 4
.
4
The second point is (1,4)
.
(1,4)
Create a table of the x
and y
values.
xy0114
Graph the line using the slope and the y-intercept, or the points.
Slope: 3
Y-Intercept: 1
xy0114