The answer is the graph b.
<span>The <u>correct answers</u> are:
A ray is a bisector of an angle if and only if it splits the angle into two angles; and
A) I can afford to buy a ticket.
Explanation<span>:
For the first question, the first three answers are very specific and true:
A whole number is odd if it is not divisible by 2, and a number is not divisible by 2 if it is odd;
an angle is straight if its measure is 180 degrees, and the measure of an angle is 180 degrees if it is a straight angle;
a whole number is even if it is divisible by 2, and a number is divisible by 2 if it is even.
However, with the fourth choice, we are missing a key word in the definition. A ray is a bisector of an angle if and only if it splits the angle into two <u>CONGRUENT</u> angles. It is not just a ray that cuts an angle into two pieces, the pieces must be equal.
For the second question, the Law of Detachment says if our conditional "if p, then q" is true and p is true, then q must also be true.
For this question, "I can go to the concert if I can afford to buy a ticket" is true as well as "I can go to the concert." This means "I can afford to buy a ticket" must be true as well.</span></span>
Answer:
The value of the maximum distance the spring will be compressed
x = 0.143 m= 14.3 cm
Step-by-step explanation:
Given data
Mass m = 1.5 kg
h = 0.9 m
k = 1500
Since the book is released from a height h = 0.9 m above the top of the spring. so the total distance
y = h + x
Now in that case for the spring


By rearranging the above equation we get

Put all the values in above equation we get

By solving the above equation we get
x = 0.143 m= 14.3 cm
This is the value of the maximum distance the spring will be compressed.
Answer:
D
Step-by-step explanation:
Using the law of logarithms
•
x = n ⇔ x = 
given
x = 4 ⇒ x =
= 81 → D
Given:
The equation of given line is

A line is perpendicular to the given line and passes through the point (9,5).
To find:
The equation of the perpendicular line.
Solution:
We have,

On comparing this equation with slope intercept form
, we get

It means, the slope of the given line is 3.
The product of slopes of two perpendicular lines is -1.



Point slope form of a line is

Where, m is the slope.
The slope of perpendicular line is
and it passes through the point (9,5). So the equation of the line is



Adding 5 on both sides, we get


Therefore, the equation of required line is
.