step 1
Find out the slope WX
W(2,-3) and X(-4,9)
m=(9+3)/(-4-2)
m=12/-6
m=-2
step 2
Find out the slope YZ
Y(5,y) and Z(-1,1)
m=(1-y)/(-1-5)
m=(1-y)/-6
m=(y-1)/6
step 3
Remember that
If two lines are perpendicular
then
their slopes are negative reciprocal
that means
(y-1)/6=1/2 -----> because the negative reciprocal of -2 is 1/2
solve for y
2y-2=6
2y=6+2
2y=8
<h2>y=4</h2>
Answer:
First of all the rate of change is -2, so the answer would be y = x - 2
Known :
r = 6
h = 8
Asked :
V = ...?
Answer :
V = ⅓πr²h
= ⅓ × 3.14 × 6² × 8
= ⅓ × 3.14 × 36 × 8
= 3.14 × 12 × 8
= 301.44 units²
= <u>3</u><u>0</u><u>0</u><u> </u><u>units²</u> (rounded)
So, the volume of the cone is 300 units²
<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>
Answer: 1/2cx B
Step-by-step explanation
area is height multiplied by base so x times c /2= 1/2cx
Answer:
Step-by-step explanation:
In a geometric sequence, the consecutive terms differ by a common ratio,r. Considering the given sequence,
r = 6/- 2 = - 18/6 = - 3
Therefore, the sequence is geometric.
The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = - 2
r = - 3
The explicit formula is
Tn = - 2 × (- 3)^(n - 1)
To find the 8th term, T8,
T8 = - 2 × (- 3)^(8 - 1)
T8 = - 2 × (- 3)^7
T8 = - 2 × - 2187
T8 = 4374
