The second term of the given sequence aₙ = -5(n² + 1n) when solved gives us; a₂ = -20
<h3>How to find the nth term of a sequence?</h3>
We are given the formula for a sequence as;
aₙ = -5(n² + 1n)
Where n is the position of the term.
Now, for the first term, we will have;
a₁ = -5(1² + 1(1))
a₁ = -10
The second term of the sequence is;
a₂ = -5(2² + 1(2))
a₂ = -20
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Answer:
Step-by-step explanation:
Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,
Step 1 : <u>Conver</u><u>t</u><u> </u><u>the </u><u>equations</u><u> in</u><u> </u><u>slope</u><u> intercept</u><u> form</u><u> </u><u>of</u><u> the</u><u> line</u><u> </u><u>.</u>
and ,
Step 2: <u>Find </u><u>the</u><u> </u><u>slope</u><u> of</u><u> the</u><u> </u><u>lines </u><u>:</u><u>-</u>
Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,
And the slope of the second line is ,
Step 3: <u>Multiply</u><u> </u><u>the </u><u>slopes </u><u>:</u><u>-</u><u> </u>
Multiply ,
Multiply both sides by a ,
Divide both sides by -1 ,
<u>Hence </u><u>the</u><u> </u><u>value</u><u> of</u><u> a</u><u> </u><u>is </u><u>9</u><u> </u><u>.</u>
Answer:
x intercept: (4,0)
y intercept: (0,2 1/2)
Step-by-step explanation:
16,3,3
She wants an equal amount of lotion and hand soap, if you do 48 divided by 16 you get 3 and if you do 64 divided by 16 you get 4 so if she wants equal she can put 3 in each box. Finally if you do 48 divided by 3 you get 16 and if you divide 64 by 3 you get 21.3 if you want equal you must go with 16.
Hope this helps :)
Answer: 27.42 units
Step-by-step explanation:
6 + 6 + 6 = 18
C= 1/2 3.14d
1/2 x 3.14 x 6
3.14 x 3
=9.42
18+9.42 = 27.41