What is the compliment of a 45 degree angle

Answers

Answer 1
Answer:

The complement of 45° is the angle that when added to 45° forms a right angle (90° ).


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Writing equation of parabolas
Vertex at origin, Focus (0,-1/32)

Answers

-b/2a = 0 => b = 0; -Δ/4a = -1/32, where Δ = b^(2) - 4ac = -4ac => -4ac/4a = -1/32 => c = 1/32, where a is not 0 => equation of parabolasVertex at origin, Focus (0,-1/32) is y = ax^(2) + 1/32;

What is the value of the product (3 - 2i)(3 + 2i)

Answers

Answer:

13

Step-by-step explanation:

(3 - 2i)(3 + 2i)

FOIL

first  3*3 = 9

outer 3*2i = 6i

inner -2i*3 = -6i

last  -2i * 2i = -4i^2 = -4(-1) =4

Add together

9+6i-6i+4 = 13

Find the measure of

Answers

Answer:

129

Step-by-step explanation:

If you are finding the answer of the hole thing you need to add 49+90

PLEASE HELP
what is there value of y?
what is the value of x?

Answers

Answer:

x=14

y=30

Step-by-step explanation:

5x+25=3x+53

5x=3x+28

2x=28

x=14

2y+35=95

2y=60

y=30

(I assumed all of the angles are equal, correct me if I'm wrong.)

Answer:x=14

Step-by-step explanation:

Let's first understand what we need to do. We need to solve for two variables, x and y. We do these by setting two systems of equations equal to each other. This is easily done for x, but for y the other equation is missing. Keep this in mind for later.

So, we will first start off by solving for x. We do this by using inverse operations.

5x+25=3x+53 We will subtract

5x=3x+28

2x=28 Divide

x=14

You can plug 14 into both the xs and they will be similar, and both will have the similar results once you solve for y and plug it into the equation along with x.

We know that the 5x+25 on the left is adjacent to 2y+35, and so is the second x. Adjacent angles add up to 180 total, and so to solve for y we need to plug 12 in the first x.

5(14)+25=95

180-95=85

85 is the value of 2y+35

We will solve for y just like any other alegrbaic problem

85=2y+35

50=2y

y=25

We know know that y is 25 and x is 14

Plug both values into 2 adjacent angles and they will add up to 180.

Cory has 15 die-cast cars in his collection. Each year his collection increases by 20%. Roger has 40 cars in his collection. Each year he collects 1 additional car.Part A: Write functions to represent Cory and Roger's collections throughout the years.
Part B: How many cars does Cory have after 6 years? How many does Roger have after the same number of years?
Part C: After approximately how many years is the number of cars that Cory and Roger have the same? Justify your answer mathematically.

Answers

Part A:
For Roger: y=x+40
For Cory: y=15 (1.2)^(x)
where y is the total  number of cars each boy collects over the year, x as the number of years passed.

Part B:
For Roger: 46
For Cory: 44.79~ 45 cars

Part C:
Here, we are trying to find the number of years (x) where Cory and Roger have the same number of cars.
By equating Roger and Cory's functions, we can solve for x
x+40=15 (1.2)^(x).
Since we cannot solve the value of x directly, we use trial and error to estimate the year.
When x=1
41 \neq 18 \n
When x=2
42 \neq 21.6
When x=3
43 \neq 25.92
When x=4
44 \neq 31.10
When x=5
45=/=37.3
When x=6
46=/=44.8
When x=7
47=/=53.7

The years that pass by before  Cory and Roger have nearly the same number of cars is 6.

Answer:

Step-by-step explanation:

Part A:

For Roger:

For Cory:

where y is the total number of cars each boy collects over the year, x as the number of years passed.

Part B:

For Roger: 46

For Cory: 44.79~ 45 cars

Suppose there is an excess demand for cell phones. In a market without price controls, market pressures will cause the price of cell phones to _____ until it reaches the equilibrium price. decrease increase stay the same

Answers

When there is heavy demand, sellers always take advantage of the opportunity to skin, fleece, and screw the buyers, by INCREASING the price. "Equilibrium" is reached wgen the buyers say "Enough ! I'm not paying that price no matter how desperately I want to have it."

Answer:

increase

Step-by-step explanation: I hope im right