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Answer:
y = -3x +6
Step-by-step explanation:
The perpendicular line will have the coefficients of x and y swapped (and one of them negated), and will have a constant appropriate to the point the line needs to go through.
The equation will look like ...
x -3y = 3 . . . . . . . . . . . . . given line
3x +y = constant . . . . . . perpendicular line
where "constant" can be found by substituting for x and y.
3x +y = 3(5) +(-9)
3x +y = 6 . . . . equation in standard form
To put this in slope-intercept form subtract 3x:
y = -3x +6
The following is the most appropriate method for investigating the sociologist’s belief is,
A. A one-sample zz-test for a difference in population proportions
Step-by-step explanation:
- The young adults in a county get their news from online sources are 75 percent.
- But according to sociologist the percentage is actually greater than 75 percent.
- The correct answer is A one-sample zz-test for a difference in population proportions.
- The One proportion Z-test is used to compare proportion which is observed to a theoretical one, only when there are only two categories.
- A z-test is a statistical test which is used to determine whether there are two population which means there are different when the variances are known and the sample size is relatively large.
Answer:
a) Upwards
b) x = -1
c) (-1,-9)
d) x intercepts; (2,0) and (-4,0)
y intercept is (0,-8)
Step-by-step explanation:
a) As we can see, the parabola faces upwards
b) To find the axis of symmetry equation, we look at the plot of the graph and see the point through the vertex of the parabola that exactly divides the parabola into two equal parts
The x-value that the line passes through here is the point x = -1 and that is the equation of the axis of symmetry
c) The vertex represents the lowest point of the circle here,
As we can see, this is the point through which the axis of symmetry passes through to make a symmetrical division of the parabola
We have the coordinates of this point as
(-1,-9)
d) The intercepts
The x-intercept are the two points in which the parabola crosses the x-axis
We have this point as 2 and -4
The x-intercepts are at the points (2,0) and (-4,0)
For the y-intercept; it is the y-coordinate of the point at which the parabola crosses the y-axis and this is the point (0,-8)
Answer:
132 degrees
Step-by-step explanation:
these angles are Alternate interior angles so angle A is congruent to angle B.
5x-18 = 3x+42
-3x -3x
2x-18 = 42
+18 +18
2x = 60
÷2 ÷2
x=30
A=5(30) -18
= 150-18
= 132 degrees
HOPE THIS HELPS
Answer:
The correct answer is A.
Step-by-step explanation:
The area of a rectangle can be calculated using the following formula:
If we know that the area measures 
and one side of the figure measures 4.2 m, we can say that:
We isolate the side we don't know:
So I = 9 m
To know the perimter of a rectangle, we use the following formula:
