Answer:
The coordinates of the ordered pair of the Image X' are: X'(-6, -1)
Step-by-step explanation:
When a point A(x, y) is rotated 90° counterclockwise around the origin, we flip x and y and reverse the sign of y.
Thus,
The rule to rotate a point A(x, y) after a rotation 90° counterclockwise around the origin is:
A(x, y) → A'(-y, x)
In our case, the point X (-1, 6) is rotated 90° counterclockwise about the origin. Thus, the coordinates of P' will be:
A(x, y) → A'(-y, x)
X (-1, 6) → X'(-6, -1)
Therefore, coordinates of the ordered pair of the Image X' are: X'(-6, -1)
let the integers be x,x+1(consecutive integers)
To find the value of x+1(greater)
(x+1)*x=272
x^2+1x=272
the greater value is 17
x=16
Answer:17
Answer: First of all, we will add the options.
A. Yes, because 3 inches falls above the maximum value of lengths in the sample.
B. Yes, because the regression equation is based on a random sample.
C. Yes, because the association between length and weight is positive.
D. No, because 3 inches falls above the maximum value of lengths in the sample.
E. No, because there may not be any 3-inch fish of this species in the pond.
The correct option is D.
Step-by-step explanation: It would not be appropriate to use the model to predict the weight of species that is 3 inches long because 3 inches falls above the maximum value of lengths in the sample.
As we can see from the question, the model only accounts for species that are within the range of 0.75 to 1.35 inches in length, and species smaller or larger than that length have not been taken into consideration. Therefore the model can not be used to predict the weights of fishes not with the range accounted for.
Answer:
A=4000, B=80, C=24
Step-by-step explanation:
You forgot to put the correct area model, I attached it to the answer.
We have the fact that Mountain Q is 4 times the height of Mountain P. That's the "4" we have in the left side of our model. It's like having a multiplication table, next to the "4" we have "A" and upper this we have "1000", the only thing we have to do is multiplify 4*1000=4000. The next letter we have is B and below it we have "320", we divided it by 4, 320/4=80. The last letter we have is C, and is below a "6", we only have to multiplify it by 4, 6*4=24.
At the end we only sum our
- A + 320 + c = 4344 (4 times the height of Mountain P).
- 1000 + B + 6 = 1086(the height of the Mountain P).
