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CaHeK987 [17]
2 years ago
12

Write an equation of the line that passes through (-4,1) and is perpendicular to the

Mathematics
1 answer:
trasher [3.6K]2 years ago
3 0

Answer:

line1:y=2x+3

Gradient1=2

Let line2 be the line passes through (-4,1)and perpendicular to line1.

Because line2 and line1 are perpendicular, (gradient of line2) (gradient of line1) =-1

Gradient of line2=-1/2

Equation of line2:y-y1 =m(x-x1)

:y-1 =(-1/2)[x-(-4)]

:(y-1)(-2)=(x+4)

:-2y+2 =x+4

:-2y+2-x-4=0

:-x-2y-2 =0

:x+2y+2 =0

*notes:gradient=m

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KiRa [710]

Answer:

Therefore the population will be maximum when x=30 inches.

Step-by-step explanation:

Given that, the mosquito population is a function of rainfall and can be approximated by the formula

N(x)= -x^3+45x^2+1000

where x is the number of inches of rainfall.

N(x)= -x^3+45x^2+1000

Differentiating with respect to x

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Again differentiating with respect to x

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Now we set N'(x)=0

-3x^2+90x=0

\Rightarrow -3x(x-30)=0

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Since at x=30, N''(x)<0, So at x=30, N(x) has maximum value.

Therefore the population will be maximum when x=30 inches.

5 0
2 years ago
Find the Product and Combine similar terms.<br>1. -1(7+4b) =<br>2. x(x²–2xy+y²) =<br>3. -5x(-3+x) =​
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-1(7+4b) - distribute the -1 to the expression
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2 years ago
I need the answer hurry please
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For all of the questions or only one-?
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2 years ago
Please answer the question
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Interest is $1,320.  <span><span>P is the principal amount, $6,600.
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</span><span>So, t is 5 year time periods.

</span></span>I= p x r x t

In order to get the final number just add $1,320 + $6,600 which is $7,920
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3 years ago
Use the commutative property to solve for n<br> 98,551+2,851=2,841+n<br> n=
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