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Vitek1552 [10]
3 years ago
5

Help on this 3 questions pleaseeeee!!!!

Mathematics
1 answer:
ra1l [238]3 years ago
6 0

Answer:

14. D

15. A

16. A

Step-by-step explanation:

14. Point slope form formula: y-y₁=m(x-x₁).

When graphing you always want to think x/y for your slope.

X-axis increases by 2 and the Y-axis increases by 10, which would make the slope (m) 2/10 = 1/5.

If your slope is does not come out correct, then you can prove your point.

15. The given information is (-2,2): m=-1.

Given the Point slope formula: y-y₁=m(x-x₁), you can replace m to -1, y₁=2 and x=+2. (Two negatives would make a positive.)

Your answer: y-2=-(x+2)

16. Given: y=4x-7; (3,0)

Parallels lines: Same slope different y-intercepts.

A and D has the same slope and different y-interecepts, but your answer would be A because the equation that was given as a negative y-intercepts.

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The graph shows the cost, C, of sending m text messages. What is the cost per message?
Travka [436]

Answer:

C.$0.15 I TOOK IT ON STUDY ISLAND

Step-by-step explanation:

First, you want to find an exact point on the graph.  What I mean by this is you want to go somewhere on the graph where the line goes through an exact y and x value.

Second, you want to figure out where this x and y value are.  Where the graph first goes through two points is at (20, 3).

Third, you want to figure out what the 20 and the 3 mean.  20 is the number of messages and 3 is the dollar amount.

Finally, to calculate the amount of money per message, you divide the dollar amount (3) by the number of messages (20).  So, you have 3/20.  After this, simplify 3/20 to get 0.15, or 15 cents per message.

3 0
2 years ago
Prove Euler's identity using Euler's formula.<br> e^ix = cos x + i sin x
Korolek [52]

First list all the terms out.

e^ix = 1 + ix/1! + (ix)^2/2! + (ix)^3/3! ...

Then, we can expand them.

e^ix = 1 + ix/1! + i^2x^2/2! + i^3x^3/3!...

Then, we can use the rules of raising i to a power.

e^ix = 1 + ix - x^2/2! - ix^3/3!...

Then, we can sort all the real and imaginary terms.

e^ix = (1 - x^2/2!...) + i(x - x^3/3!...)

We can simplify this.

e^ix = cos x + i sin x

This is Euler's Formula.

What happens if we put in pi?

x = pi

e^i*pi = cos(pi) + i sin(pi)

cos(pi) = -1

i sin(pi) = 0

e^i*pi = -1 OR e^i*pi + 1 = 0

That is Euler's identity.

3 0
3 years ago
Steve built a square dog pen that has a perimeter of 240 inches.
Trava [24]
Perimeter of square = 4 x l

so ATC 4 x l = 240
= 240/40= l
so 60 = l

the answer is 60 inches.
6 0
3 years ago
How do i find B with a table??
Artist 52 [7]
B is the Y-intercept or where the graph crosses the y-axis. they provide you with a few things which can help you figure this out. they give you the values of x and y in a table
X | Y
2  |  -5
4  |  -9            The difference between each Y value is 4...so, I add 4 to the -5
6  |  -13            and get -1...going up another value for the X would be at 0.  This leaves me with an ordered pair of (0,-1).....thus, the value of b is -1.
4 0
3 years ago
I need all 5 of them please
aliina [53]
1.) 8.88= 4.44 (x -7)
8.88 = 4.44x - 31.08
+31.08 +31.08
39.96 = 4.44x
39.96 / 4.44x
9 = x
4 0
2 years ago
Read 2 more answers
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