Answer:
If you mean |x| and |-x| yes they are equal.
Step-by-step explanation:
Brackets do not exactly specify the meaning of absolute value.
On most keyboards, above the enter button on the main keyboard part (not the keypad one) there is a back slash symbol \ and if you hold shift, there might be another symbol | which more accurately represents absolute value,
If you aren't talking about the absolute value, then no.
Step-by-step explanation:
For x = 1
(1)
For x = -3,
(2)
For x = 3,
(3)
Let's add Eqn(2) and Eqn(3) together to eliminate b:
(4)
Next, multiply Eqn(1) by 3 and then add to Eqn(2) to get
(5)
Then we want to eliminate c by multiplying Eqn(4) by -2 and then adding to Eqn(5) and we will get
Now that we have the value for a, we can use either Eqn(4) or Eqn(5) to solve for c and we will get
Using the values of a and c on Eqn(1), we find that so therefore, our function f(x) has a form
Answer:
x = 45°
Step-by-step explanation:
<u>Vertical Angle Theorem</u>
When two <u>straight lines intersect</u>, they form two pairs of angles. The vertically opposite (non-adjacent) angles are <u>congruent</u> (equal).
From inspection of the given diagram, the <u>straight line with points C and D</u> and the <u>straight line with points F and G</u> intersect at <u>point E</u>.
Therefore, angles ∠FEC and ∠DEG are vertically opposite, and so they are equal.
From inspection of the diagram:
- ∠FEC = x°
- ∠DEG = 20° + 25° = 45°
Therefore:
⇒ ∠FEC =∠DEG
⇒ x = 45°
Answer:
1 unit
Step-by-step explanation:
We have the following formula to find the length of an arc that subtends an angle of radians is:
S = rΘ where:
- r is the radius
- Θ is the subtended central angle given in radians
Given the information in this question, we have:
=> the length of an arc in this question is:
1*1 = 1 unit
Hope it will find you well