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il63 [147K]
2 years ago
9

4. Find the equation of the line that goes through the point (1,-1) and has a slope of 5.

Mathematics
1 answer:
frutty [35]2 years ago
4 0

Answer: y=5x-6

Step-by-step explanation:

use point-slope form

(y-y_{1}) =m(x-x_{1})

plug in given values where m is slope and y1 and x1 are values

y-(-1)=5(x-1)

y+1=5(x-1)

y+1=5x-5

y=5x-6

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Use the Fundamental Counting Principle to find the total number of possible outcomes.
expeople1 [14]

Answer:

There are 12 possible outcomes.

Step-by-step explanation:

For each of the three sizes of beverages, there are four flavors. So there are 3 * 4, or 12, possible outcomes.

7 0
2 years ago
Polygon ABCDE is the first in a pattern for a high school art project. The polygon is transformed so that the image of A' is at
Bond [772]

Answer:

Translation

Step-by-step explanation:

To keep a shape congruent or the same then you can Translate or to slide the shape not to change any sides.

3 0
3 years ago
NEED HELP PLEASE AHHH! A system of equations and it’s solution are given below
vfiekz [6]
Just download the photomath app it will solve it for u !
6 0
3 years ago
How do I graph a function based off the unit circle?
sweet [91]
So if you remember what the normal y = sin(x) function looks like (a wave), y = 2 sin(4x) is just changed a little.

The standard format for sine/cosine function
<span>y = a sin<span>(bx− c)</span> + <span>d

a = amplitude, distance from center of the wave to the highest point. This function a = 2 so the height of the sine wave reaches 2 instead of 1.
"c" and "d" shift the graph left/right and up/down respectively. These equal zero so the sine wave is not shifted.

The range (y-values) is then just the amplitude -2 ≤ y ≤ 2

The domain (x-value) is all real numbers because the wave just keeps going on to infinity in both directions.

2π / |b| = period, distance per wave
this equation b = 4
period is then π/2
this is the distance before a wave repeats.

Graph
     x  |  y
-π/8    -2
    0      0
  π/8    2
3π/8   -2
5π/8    2

see the pattern? I'm using the amplitude or peaks and bottoms of the wave y = 2 and -2  then using the x-distance between like points is the period so you add π/2

(π/8 , 2) 
+ π/2
(5π/8 , 2)

Same for the minumums of the wave (y = -2)
(-π/8 , -2)
+ π/2
(3π/8 , -2)

Hope this helps, otherwise there are youtube videos you can watch or try an online graphing calculator like Desmos.com





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7 0
3 years ago
7.
never [62]

Answer:

D. linear; y = –x – 1

Step-by-step explanation:

Linear; y=-x - 1

The slope is negative since it’s decreasing. So it’s not the first equation. It’s not a quadratic equation because there is no forming U shape for this data. It’s not a exponential function because the slope is not 3 and a exponential function is in the form y=a(b)^x

...............................................................................................................................................

Answer:

The correct answer is D) linear; y = –x – 1

Step-by-step explanation:

To find this, use any values in the table and it will produce a true statement. This is how we check to see if a model is correct. See the two examples below for proof.

(4, 5)

y = -x - 1

-5 = -4 - 1

- 5 = -5 (TRUE)

(0, -1)

y = -x - 1

-1 = 0 - 1

-1 = -1 (TRUE)

3 0
3 years ago
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