Answer:
-3/2,collinear.
Step-by-step explanation:
slope of PQ=(0-3)/(2-0)=-3/2
eq. of line PQ is
y-3=-3/2(x-0)
y-3=-3/2 x
or2y-6=-3x
or 3x+2y=6
if R(4,-3) lies on it,then
3(4)+2(-3)=6
12-6=6
or 6=6
which is true.
Hence points P,Q,R are collinear.
and line has aslope=-3/2
Answer:
<h2>V = 235.5 in³</h2>
Step-by-step explanation:
The formula of a volume of a cylinder:
r - radius
H - height
From the pictue we have r = 5in and H = 3in. Substitute:
Therefore
Answer:
Inequality Form:
2
−
√
11
<
x
<
2
+
√
11
Interval Notation:
(
2
−
√
11
,
2
+
√
11
)
Step-by-step explanation:
Solve the inequality for x by finding a
, b
, and c of the quadratic then applying the quadratic formula.
First, we have to find the z scores of $4 and $9.50.
Z₁ = ($4 - $6.50)/$2.25 = -1.11
Z₂ = ($9.50 - $6.50)/$2.25 = 1.33
Then, using a z score table, we find the probability of 1.33 and -1.11, and subtract them to determine the probability in between.
0.9082 - 0.1335 = 0.7747 or 77.47%.
The slope is 1/3 because in order to get from point (3,1) to (6,2) you need to rise 1 and go over 3
