Which of the following represents a statistical question?
1 answer:
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The statement about the line that passes through (-2, 0) and (2, -4) that are true are:
Option B:The line intersects the y-axis at (0, −2).
Option C: The equation of the line is y = −x − 2.
Option D: The line intersects the x-axis at (−2, 0).
<u>Solution:</u>
Given, two points are (-2, 0) and (2, -4)
We have to select the options that states true about line that passes through given two points.
Now, let us find the line equation that passes through given two points using point slope form.
Now slope "m" is given as:
Then, line equation = y – 0 = -1(x – (-2))
y = -1(x + 2)
y = -x – 2 --- equation 1
Now let us check options.
<u>Option a)</u> slope of line is 1
We know that slope of our line is -1 so this option is wrong.
<u>Option b)</u> line intersects y – axis at (0, -2)
When line meets y – axis x becomes 0 ⇒ 0 + y + 2 = 0 ⇒ y = -2 so point is (0, -2).
This option is right.
<u>Option c) </u>equation of line is y = -x – 2
The given equation is x + y + 2 = 0 ⇒ y = -x – 2 . so this option is correct.
<u>Option d) </u>line intersects at (-2, 0)
When line meets x – axis y becomes 0 ⇒ x + 0 + 2 = 0 ⇒ x = -2. So point is (-2, 0).
This option is right.
Hence, options b, c, d are correct.
Answer:
<u>Question 11:</u>
<u>Question 12:</u>
,
,
and
<u>Question 13: </u>
AC and BD are perpendicular lines, and they are diagonals
Step-by-step explanation:
<u>Question 11</u>
Given
See attachment for Rhombus
Required
Determine the indicated sides
Solving (a):
Diagonal CA divides into 2 equal angles
i.e
So:
Solving (b):
The angles at E is 90 degrees because diagonals AC and BD meet at a perpendicular.
So:
Solving (c):
First, we calculate , considering
:
To calculate , we have:
Solving (d):
From the rhombus
Where
So:
Solving (e):
To do this we consider
Using the tan formula
and
So:
Solving (f):
This is calculated as:
Where
<u>Question 12: Isosceles Triangle</u>
In the rhombus, all 4 sides are equal;
So, the isosceles triangle are:
,
,
and
<u>Question 13: </u>
AC and BD are perpendicular lines, and they are diagonals
