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morpeh [17]
3 years ago
10

Determine parallel, perpendicular, or neither!

Mathematics
1 answer:
Leviafan [203]3 years ago
6 0
Rearrange Line 1 and Line 3’s equations in the form of y = mx + c for easier comparison.

Lines 1 and 2 are parallel, because they have the same gradient.

Lines 1 and 3, and 2 and 3 are neither, because their gradients do not multiply to form -1.
(Gradients of perpendicular lines multiply to form -1.) c
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Suppose the supply curve of portable radio rentals in Golden Gate Park is given by P = 5 + 0.1Q, where P is the daily rent per u
Tasya [4]

Answer:

10 or 1000 in hundreds of units

Step-by-step explanation:

Given the supply curve of portable radio rentals:

P = 5 + 0.1Q

and the demand curve for portable radio rentals:

P = 20 - 0.2Q

we need to find the equilibrium of these two curves ( replace either's right hand side on the other's left hand side)

we have:

20 - 0.2Q = 5 + 0.1Q

solving we have Q=50 or 5000 in hundreds of units

Now the noise is equal to 3, therefore, we have to find the social supply curve by adding 3 to the first supply curve. following:

P = 8 + 0.1Q

We find the intersection bewteen the social supply curve and the demand curve ( social equilibrium rental ):

20 - 0.2Q = 8 + 0.1Q

Which gives Q=40 or 4000 in hundreds of units.

Now that we integrated the noise into our considerations,  the equilibrium rental exceeds the social equilibrium rental by 10 (50-40) (1000 in hundreds of units)

7 0
3 years ago
The coefficient of the second term in the expansion of the binomial (4x+3y) to the 3rd power
kaheart [24]
You can solve this easily by using Pascal's Triangle (look that up if need be).

Here are the first four rows of P. Triangle:

                 1
           1           1
     1          2          1
1        3            3       1
 
 example:  expand (a+b)^3.
 
 Look at the 4th row.  Borrow and use those coefficients:
 
 1a^3 + 3 a^2b + 3ab^2  + b^3

Now expand (4x+3y)^3:

1(4x)^3 + 3(4x)^2(3y)  + 3(4x)*(3y)^2 + (3y)^3

Look at the 2nd term (above):

              3(4x)^2(3y)   can be re-written as 144x^2y.
 
The coeff of the 2nd term is 144.  Note that (4)^2 = 16    
3 0
3 years ago
name the lengths of the sides of three rectangles with a perimeter of 12 units use only whole numbers
AysviL [449]
The perimeter of a rectangle is 2(w+l)
We can find the lengths by setting the equation equal to 12.
12=2(w+l)
12÷2=(2(w+l))÷2
6=w+l
6=1+5
6=2+4
6=3+3
These are the lengths of the sides of three rectangles with a perimeter of 12 units.
You're probably wondering why the third one has two of the same number, because that's usually how the lengths of sides of squares are, not rectangles.
Well, there's this wonderful thing about the rules of shapes.
<em>Squares ARE rectangles.
</em>Because they follow the rules for a rectangle, squares are also classified as rectangles.
So, the rectangle side lengths are as follows:
1 unit by 5 units
2 units by 4 units
3 units by 3 units
<em />
8 0
3 years ago
Determine whether there is positive, a negative, or
Aneli [31]

Answer:

Negative

Step-by-step explanation:

That's the answer........

4 0
3 years ago
Read 2 more answers
Find the equation of a line through (2,-4) and (-7,-4)
steposvetlana [31]
---------------------------------------------
Find slope : 
---------------------------------------------
\text {Slope = }  \dfrac{-4 - (-4)}{-7-2}  =  \dfrac{0}{-9}  = 0

When the slope is 0, the graph is a horizontal line.

Equation of the graph is y = -4

------------------------------------------------------
Answer: y = -4
------------------------------------------------------

3 0
3 years ago
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