To solve the question we need to calculate the equation of the straight line;
the equation is given by:
m=(y1-y)/(x2-x)
where;
m is the slope;
selecting 2 points from the graph say (0,2) and (2,0), the slope of the graoh will be:
m=(0-2)/(2-0)=-1
thus using point (-2,4) the equation will be given by:
-1=(y-4)/(x+2)
-1(x+2)=(y-4)
this can be written as:
-x-2=y-4
this can be written as:
y+2=-x+4
this can be written as:
y+2=-(x-2)
The answer is A.y+2=-(x-2)
Answer:
The hypothesis test is right-tailed.
Step-by-step explanation:
We are given that we want to test the claim that the majority of adults are in favor of raising the voting age to 21.
Let p = <u><em>proportion of adults who are in favor of raising the voting age to 21</em></u>
So, Null Hypothesis,
: p
50%
Alternate Hypothesis,
: p > 50%
As we know that the majority is there when we have more 50% chance of happening of that event.
Here, the null hypothesis states that the proportion of adults who are in favor of raising the voting age to 21 is less or equal to 50%.
On the other hand, the alternate hypothesis states that the proportion of adults who are in favor of raising the voting age to 21 is more than 50%.
This shows that our hypothesis test is right-tailed because in the alternate hypothesis, the greater than sign is included.
Point-slope form is y - y1 = m (x + x1)
First you need to find m [slope] by subtract y2 and y1 and divide it by the outcome of x2 - x1
13 - (-9) = 22
-2 - 9 = -11
22/-11 = -2
Plug in the first point (as instructed) into the equation.
y - (-9) = -2 (x - 9)
Simplify the beginning.
y + [9] = [-2] (x + [-9])
(The brackets are the fill in the blanks)
The answer is 5,180! I used a calculator
Every triangle has 180 degrees when you add there angles so you know that they will add up to 180
they are right triangles so the right angle has 90 degrees
so for the yellow triangle
90+45+x=180
135+x=180
45=x
we can tell where the purple and yellow triangle touch is 90 so 45+x=90 to find that angle which is 45
and the other one is 45
so there are two 90 degree angles and three 45 degree angles.
I hope that made sence