The equation of a circle is given in the form
, where
(a, b) is the centre of the circle
r = radius
We have the centre of the circle (-27, 120)
We can work out the radius by modelling the radius as the hypotenuse of a triangle as shown in the diagram below
The equation of the circle is
![[x-(-27)]^2+[y-120]^2=15129](https://tex.z-dn.net/?f=%5Bx-%28-27%29%5D%5E2%2B%5By-120%5D%5E2%3D15129)
![[x+27]^2+[y-120]^2=15129](https://tex.z-dn.net/?f=%5Bx%2B27%5D%5E2%2B%5By-120%5D%5E2%3D15129)
Correct answer: option number 4
Answer:
Step-by-step explanation:
i think it is 2
Answer:
The null hypothesis is that all the different teaching methods have the same average test scores.
H0: μ1 = μ2 = μ3 = μ4 = μ5
The alternative hypothesis is that at least one of the teaching methods have a different mean.
Ha: at least one mean is different. (μ1 ≠ μi)
Step-by-step explanation:
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.
For the case above, let μ represent the average test scores for the teaching methods:
The null hypothesis is that all the different teaching methods have the same average test scores.
H0: μ1 = μ2 = μ3 = μ4 = μ5
The alternative hypothesis is that at least one of the teaching methods have a different mean.
Ha: at least one mean is different. (μ1 ≠ μi)
5/3+3x+4= 8
= 3x= 4-5/3
= 3x= 7/3
= x= 7/9
Answer:
angle P congruent to angle N
Step-by-step explanation:
You know the angles at Q are congruent.
If angle P is congruent to angle N, then angle R is congruent to angle D.
Then both triangles are similar.
