Answer:
-5
Step-by-step explanation:
The parabolas equation is
(y - k)^2 = 4p(x - h)
Where h,k is the vertex
Substituting the vertex ad (2,-4)
(y - -4)^2 = 4p(x - 2)
(y +4)^2 = 4p(x - 2)
We need to find p from the other point they give us (-3,-3)
(-3 +4)^2 = 4p(-3 - 2)
1^2 = 4p (-5)
1 = -20p
Divide by -20
1/-20 = -20p/-20
-1/20 = p
Substituting back into the equation
(y +4)^2 = 4(-1/20)(x - 2)
Simplifying
(y +4)^2 = (-1/5)(x - 2)
FOILing
y^2 +8y +16 = -1/5x +2/5
Multiply by 5
5y^2 +40y +80 = -x +2
Subtract 2
5y^2 +40y +80-2 = -x +2-2
5y^2 +40y +78 = -x
Multiply by -1
-5y^2 -40y -78 = x
The coefficient of y^2 is -5
For this case the first thing you should know is that if the coefficient of determination (R) is equal to 1, the graph is totally perfect.
Therefore, the closer the value of R is to one, the mathematical model will be the most appropriate.
We have then:
The coefficient of determination for the linear model was 0.95.
Therefore, the mathematical model must be linear.
Answer:
A model that should be used to represent the data set is:
A linear
Answer:
I don't get it really, sorry.
Step-by-step explanation:
This question is very difficult to understand because of the wording, is there anything else, such as any multiple choice answers or any more information that I could use to assist in your question. As I read it, it says 1 cm : 100 km. And the distance between those two would be 1160 miles. 1160/100=11.6, and 11.6≈11.6 so yes, I dont know what to say. The question answers the answer. Let me know if you understood something that I didn't understand and we can go from there. Hope I could be of some help, even know I don't know what to say.
Answer:
B
Step-by-step explanation:
Answer:
x = 9 and ∠ JKM = 59°.
Step-by-step explanation:
See the attached diagram with this question.
∠ JKL is bisected by line KM.
Therefore, angle JKM = angle MKL
Now, ∠ JKM is given to be ( x² - 22 ) and ∠ LKM = ( 6x + 5 ).
So, x² - 22 = 6x + 5
⇒ x² - 6x -27 = 0
⇒ ( x - 9 ) ( x + 3 ) = 0
Therefore, x = 9 or - 3.
∠ JKM = x² - 22 = 59° for x = 9 and ∠ JKM = x² - 22 = - 13° for x = - 3
Since angle JKM can not be negative, so, x = 9 and ∠ JKM = 59°. (Answer)
