<u>Answers</u>
19 fiction books
7 nonfiction books
<u>Explanation</u>
x + y = 26 ............................................. (i)
x – y = 12 ............................................ (ii)
Elliot added the two equations and the result was
2x = 38.
Dividing both sides by 2;
x = 19
There are 19 fiction books.
Substituting x in equation (i),
x + y = 26 when x = 19
19 + y = 26
y = 26 - 19
= 7
There are 7 nonfiction books
Answer:
x = -10; x = 7
Step-by-step explanation:
|2x + 3| - 6 =11
Add 6 to each side.
|2x + 3| = 17
Apply the absolute rule: If |x| = a, then x = a or x = -a.
(1) 2x + 3 = 17 (2) 2x + 3 = -17
Subtract 3 from each side
2x = 14 2x = -20
Divide each side by 2
x = 7 x = -10
<em>Check:
</em>
(1) |2(7) + 3| - 6 = 11 (2) |2(-10) + 3| - 6 = 11
|14 + 3| - 6 = 11 |-20 + 3| - 6 = 11
|17| - 6 = 11 |-17| - 6 = 1
1
17 - 6 = 11 17 - 6 = 11
11 = 11 11 = 11
Answer:
2
Step-by-step explanation:
For Every x value the y value increases by 2
Answer:
e=-2
Step-by-step explanation:
9e-7e=-11+7
2e=-4
e=-2
Radian measure of the central angle is 4 radian
<em><u>Solution:</u></em>
Given that,
A circle of radius 1.5 meter that intercepts an arc of length 600 centimeters
To find: Radian measure of the central angle
Let us find the circumference of circle
The circumference of circle is given as:
![\text{ circumference of circle } = 2 \pi r](https://tex.z-dn.net/?f=%5Ctext%7B%20circumference%20of%20circle%20%7D%20%3D%202%20%5Cpi%20r)
Where "r" is the radius of circle
![\text{ circumference of circle } = 2 \times \pi \times 1.5 = 3 \pi](https://tex.z-dn.net/?f=%5Ctext%7B%20circumference%20of%20circle%20%7D%20%3D%202%20%5Ctimes%20%5Cpi%20%5Ctimes%201.5%20%3D%203%20%5Cpi)
Therefore circumference of circle =
meters , which subtends central angle of
radian
Given that arc of length 600 centimeters. Let us convert 600 centimeter to meter
We know that, to convert centimeter to meter divide the length value by 100
![\text{ 600 centimeter } = \frac{600}{100} \text{ meter } = 6 \text{ meter}](https://tex.z-dn.net/?f=%5Ctext%7B%20600%20centimeter%20%7D%20%3D%20%5Cfrac%7B600%7D%7B100%7D%20%5Ctext%7B%20meter%20%7D%20%3D%206%20%5Ctext%7B%20meter%7D)
<u><em>Therefore arc of 6 meter will subtend a central angle of:</em></u>
![\rightarrow \frac{6}{3 \pi} \times 2 \pi = 4](https://tex.z-dn.net/?f=%5Crightarrow%20%5Cfrac%7B6%7D%7B3%20%5Cpi%7D%20%5Ctimes%202%20%5Cpi%20%3D%204)
Therefore radian measure of the central angle is 4 radian