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Vladimir [108]
3 years ago
11

Identify an equation in point-slope form for the line perpendicular to y=3x+5 that passes through (4,-1)

Mathematics
1 answer:
balu736 [363]3 years ago
3 0
Would it be (0,5)? based on the intersection on the graph
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You might be interested in
Suppose that a rectangle has an area of 54 square meters. Express the perimeter P as a function of the length x of one of the si
Lapatulllka [165]

Answer:

P(x) = 2\left(x+\dfrac{54}{x}\right)

Step-by-step explanation:

The area of the rectangle can be written as:

A = x*h

here, x is one side length, and h is the other side length. This area is said to be equal to 54 square meters.

54 = x*h

The perimeter of a rectangle can be written as:

P = 2x+2h

To express perimeter only in terms of x (in other words making it a function P(x)). we need to replace h. And this can be done by using the equation of area that we derived earlier.

54 = x*h

h=\dfrac{54}{x}

now we can substitute this 'h' into our equation of the perimeter.

P = 2x+2\left(\dfrac{54}{x}\right)

P = 2\left(x+\dfrac{54}{x}\right)

and voila! we have expressed P in terms of x only.

this can be written as P as a function of x as:

P(x) = 2\left(x+\dfrac{54}{x}\right)

6 0
4 years ago
Assume federal exemption is, $3300.00, you earn. 37,500.00, the tax rate is 2 3/4%, calculate the tax.
Sauron [17]
3300 exemption

37,500−3,300=34,200 taxable
Tax rate is
2+3/4=2.75% we don't multiply 2by 3/4
Now calculate the amount of tax
34,200×2.75%=940.5
3 0
3 years ago
What is the opposite of 2 1
strojnjashka [21]
The opposite of that would be -17
6 0
3 years ago
What binomial do you have to add to the polynomial:
marshall27 [118]

Answer:

a)  -2x^2+5xy

b)  -3y^2+5xy

Step-by-step explanation:

<u>Part (a)</u>

Given polynomial  :2x^2+3y^2-5xy+1

The binomial that should be added to the given polynomial to get a polynomial that does not contain the variable x is:

-2x^2+5xy

(2x^2+3y^2-5xy+1)+(-2x^2+5xy)

=2x^2+3y^2-5xy+1-2x^2+5xy

=2x^2-2x^2+3y^2-5xy+5xy+1

=3y^2+1

<u>Part (b)</u>

Given polynomial  :2x^2+3y^2-5xy+1

The binomial that should be added to the given polynomial to get a polynomial that does not contain the variable y is:

-3y^2+5xy

(2x^2+3y^2-5xy+1)+(-3y^2+5xy)

=2x^2+3y^2-5xy+1-3y^2+5xy

=2x^2+3y^2-3y^2-5xy+5xy+1

=2x^2+1

7 0
2 years ago
If the surface area of a sphere is 4534.16cm squared what is the radius of the sphere
scoundrel [369]

Answer:

The surface area of a sphere is calculated by formula:

A = 4 x pi x radius^2

=> radius =  sqrt(A/(4 x pi) = sqrt(4534.16/(4 x pi)) = 19 (cm)

Hope this helps!

:)

5 0
4 years ago
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