Answer:
Step-by-step explanation:
.
m is the slope of the line. To find it we can do 
which is the difference between the y-coordinates divided by the difference between the x-coordinates.
So: 
. Now we have the slope, let's input a set of coordinates into the equation so that we can find the constant 
.
- Re-arranging to get b
Now re-write the equation as we have the constants.
In this section we are going to see how knowledge of some fairly simple graphs can help us graph some more complicated graphs. Collectively the methods we’re going to be looking at in this section are called transformations.
Vertical Shifts
The first transformation we’ll look at is a vertical shift.
Answer:
khv-hjsb-qwc. join in meet all
Answer:
(a) 4
(b) 2√3
(c) 60°
(d) 120°
Step-by-step explanation:
(a) The relationship between tangents and secants is ...
CB^2 = CD·CA
Filling in the given values, we find ...
CB^2 = 2·(2+6) = 16
CB = √16 = 4
The length of BC is 4 units.
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(b) Triangle ABC is a right triangle, so the sides of it satisfy the Pythagorean theorem.
CA^2 = CB^2 +AB^2
8^2 = 16 +AB^2
AB = √48 = 4√3
The radius is half the length of AB, so the radius is 2√3.
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(c) The measure of angle C can be determined from the cosine relation:
cos(C) = CB/CA = 4/8 = 1/2
C = arccos(1/2) = 60°
The measure of angle C is 60°.
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(d) Arc AD is intercepted by angle ABD, which has the same measure as angle C. Hence the measure of arc AD is twice the measure of angle C.
The measure of arc AD is 120°.
Answer:
y = x + 2
y = 2x
y = x + 5
y = 0.5x
Step-by-step explanation:
For the first three, I don't know how to explain this to you. This is very simple math, I am certain that you would have been able to do this in two minutes if you applied yourself. It would be much faster if you did the work yourself and only used brainly for things that you truly don't understand.
For the fourth answer, consider:
x is miles per 60 minutes.
y is miles per 30 minutes.
30 is half of 60, or 0.5 times 60.
Therefore, y will be equal to 0.5 times x.
y = 0.5x.
