Answer:
x+3y=14
Step-by-step explanation:
Standard form for an equation of a line is ax+by=c . Some books have restrictions on a,b, and c.
So first thing I'm going to do is state the equation I'm going to use to get there.
I'm going to use the point-slope form because we are given a point (2 really) and we can find the slope using two points (we have).
Line up points and subtract. You will then put second difference over the first difference. This will give you the slope. You could just use (y2-y1)/(x2-x1).
( -1 , 5)
-( 2, 4)
-----------
-3 1
So the slope is 1/-3 or -1/3 .
So the equation in point-slope form, y-y1=m(x-x1), is y-4=-1/3 (x-2) .
y-4=-1/3 (x-2)
First step: I'm going to get rid of the fraction by multiplying both sides by 3.
3y-12=-1(x-2)
Second step: Distribute
3y-12=-x+2
Third step: add x on both sidfes
x+3y-12=2
Fourth step: add 12 on both sides
x+3y=14.
I hope I can show the image, but I hope this may help you, the answer is:
The center of the inscribed circle of ΔABC is <u>point S</u> , and the center of the circumscribed circle of ΔABC is <u>point P.</u>
Answer:
C. The data are qualitative because they don't measure or count anything.
Step-by-step explanation:
Quantitative data is about numbers or counts. For example, the number of children of a couple is an example of quantitative data.
Qualitative data is about characteristics, when they don't count or measure anything. For example, if my favorite kind of movie is comedy, for example, it is an example of qualitative data. There are no counts or measurements.
So the correct answer is:
C. The data are qualitative because they don't measure or count anything.
Answer:
A regression coefficient is the same thing as the slope of the line of the regression equation.
Step-by-step explanation:
The equation for the regression coefficient that you'll find on the AP Statistics test is: B1 = b1 = Σ [ (xi – x)(yi – y) ] / Σ [ (xi – x)2].
Answer:
- boat speed: 17.25 mph
- current: 2.5 mph
Step-by-step explanation:
Upstream, the speed of the current (c) subtracts from the speed of the boat (b) to give the net speed. Downstream, the speed of the current adds. We can make use of the relation ...
speed = distance/time
b-c = 29.5/2 = 14.75 . . . . . miles/hour
b+c = 59.25/3 = 19.75 . . . .miles/hour
Subtracting the first equation from the second, we get ...
(b+c) -(b-c) = 19.75 -14.75
2c = 5
c = 2.5
Then either equation can be used to find b:
b = 14.75 +c = 17.25
The speed of the boat in still water is 17.25 miles per hour; the speed of the current is 2.5 miles per hour.
