Answer: y = 6/5
Step-by-step explanation:
The slope-intercept form:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
m - slope
b - y-intercept
We have the slope m = 4. Substitute:
![y=4x+b](https://tex.z-dn.net/?f=y%3D4x%2Bb)
Put the coordinates of the point (2, -3) to the equation of a line:
![-3=4(2)+b](https://tex.z-dn.net/?f=-3%3D4%282%29%2Bb)
<em>subtract 8 from both sides</em>
![-11=b\to b=-11](https://tex.z-dn.net/?f=-11%3Db%5Cto%20b%3D-11)
<h3>Answer: y = 4x - 11</h3>
Answer:
d. The graph of g(x) is the graph of f(x) reflected over the x-axis.
Step-by-step explanation:
The standard transformation
g(x) = - f(x)
is a simple reflection about the x-axis.
So the answer is the last option.
Answer:
The answer is 62
Step-by-step explanation:
the ratio given can be written as
.
first, we need to solve for how many boys received if the girls received 40.
let's write a new ratio to show this.
![\frac{20}{11} = \frac{40}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B11%7D%20%3D%20%5Cfrac%7B40%7D%7Bx%7D)
notice how i was able to equal them to each other. this is because they represent the same rate.
to solve for x, cross multiply.
![20x= 440\\](https://tex.z-dn.net/?f=20x%3D%20440%5C%5C)
now solve.
![x=22](https://tex.z-dn.net/?f=x%3D22)
the 22 represents how many boys will receive if the girls receive 40.
the question is asking how many will be given out all together. this implies that we should add 40 and 22.
![40+22= 62](https://tex.z-dn.net/?f=40%2B22%3D%2062)
62 pickle pop chips were given out.
hope this helps!
The diagram attached shows the graph described. Remember that the radius of the Unit Circle is 1. The In the corner of the diagram, we have the special right triangle 30-60-90 degrees, and its unit length ratios.
Using the ratios, we know that the side opposite the 30° angle (the x-axis) will be 1/2 the hypotenuse 1, which is 1/2. This means our
x-coordinate is 1/2.
We also see that the side opposite the 60° angle will be the other leg, times √2. This means it will be (1/2) * √2 =
√(2)/2. This is the y-coordinate.
Therefore, the coordinates of the point on the unit circle are
(1/2, √(2)/2).