Answer:

Step-by-step explanation:

















Answer:
7.A (5,1)
B(5,7)
8. D (0,6)
Step-by-step explanation:
7. One vertex is at (5,4)
Move 3 units either direction in x
(5-3,4) = (2,4)
(5+3,4) = (8,4)
Or move 3 units in the y direction
(5,4+3) = (5,7)
(5,4-3) = (5,1)
If x is less than 2 or greater than 8 it is too far from the one vertex we are given
If y is less than 1 or greater than 7 it is too far away from the one vertex we are given
C cannot be a vertex since y =9
D is not a vertex since the point is (2,6) and not (2,4) which we know is 3 units away
E is not a vertex since the point is (2,1) and not (2,4) which we know is 3 units away
8. The center is (0,0)
The points have to add to a radius of 6
r^2 = 36
The sum of the x^2 and y^2 = 36
3^2 +0^2 = 9
4^2 +2^2 = 16+4 = 20
5^2 +3^2 = 25+9 = 34
0^2+6^2 =36 yes for D
4^2 +4^2 =16+16 = 32
1^2+5^2 = 26
Answer:
ŷ = -0.08522X + 157.7779
The slope = - 0.1
Intercept = 157.8
Step-by-step explanation:
Given the data :
Duration __ Height
240 140
237 154
122 140
267 140
113 160
258 140
232 150
105 150
186 160
248 155
243 125
241 136
214 140
114 155
272 130
227 125
237 125
238 139
203 125
270 140
218 140
226 135
250 141
245 140
120 139
267 110
103 140
270 135
241 140
239 135
General regression equation :
y = mx + c
Where
y = predicted variable
x = predictor / explanatory variable
m = slope or gradient
c = Intercept
The regression equation obtained ;
ŷ = -0.08522X + 157.7779
To one decimal place :
ŷ = -0.1X + 157.8
The slope = - 0.1
Intercept = 157.8
This expression of yours is problematic in that it's difficult to know which math operations are intended and in which order. In <span>x/2 x-2/4 x-2/2 , which part of the expression is in the numerator, and which in the denominator?
x shows up 3 times. Apparently you meant "the variable x" in "x/2." What about the next "x?" Did you type that in to indicate multiplication or is that "x" a variable also? I think you catch my drift: Your post will need some editing before your readers can understand what you want to do here.
Suppose I interpret your </span><span>x/2 x-2/4 x-2/2 to mean the following:
( x/2 )
---------- * (x-2/2). If that wasn't your intent, please fix it.
x - 2/4
If this interpretation is correct, then you have
x(x-1) 2x(x-1)
---------------- = ------------. If not, please fix it. This rational function
x-1/2 2x -1 cannot be reduced.</span>