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Answer:
x = 15
Step-by-step explanation:
given that y varies directly with x
mathematically we can express this as
y = k x , where k is a constant
step 1: find k
given x = 3 and y = 21
y = k x
21 = k (3)
k = 7
hence the equation becomes
y = 7 x
when y = 105,
105 = 7x
x = 105 / 7 = 15
Step-by-step explanation:
Answer:
n = 4
Step-by-step explanation:
Use the explicit formula of a arthmetic sequence: an = a1 + d(n - 1)
a1 = -70
d = -10
an = -100
Do all of the steps and plug all the numbers with the formula.
So -100 = -70 - 10(n - 1)
-100 = -70 - 10n + 10
-100 = -60 - 10n
-100 + 60 = -40
-40 = -10n
-40/-10n = -10n/10
n = 4
So the final answer is n = 4. Just follow all of the steps and you will understand how I got my answer. Hope it helped!
Answer:
Step-by-step explanation:
Given
Required
Determine LN
Since LM is a bisector, then we have:
(See attachment for illustration)
Collect Like Terms
Solve for w
LN is calculated as thus:
Substitute 4 for w
