!z!=a→z=a or z=-a; z=4x+3, a=9+2x
!4x+3!=9+2x
1) 4x+3=9+2x
Solving for x:
4x+3-3-2x=9+2x-3-2x
2x=6
2x/2=6/2
x=3
Checking for extraneous solution:
!4x+3!=9+2x
x=3→!4(3)+3!=9+2(3)
!12+3!=9+6
!15!=15
15=15 Ok, then x=3 is not a extraneous solution
2) 4x+3=-(9+2x)
Solving for x:
4x+3=-9-2x
4x+3-3+2x=-9-2x-3+2x
6x=-12
6x/6=-12/6
x=-2
Checking for extraneous solution:
!4x+3!=9+2x
x=-2→!4(-2)+3!=9+2(-2)
!-8+3!=9-4
!-5!=5
5=5 Ok, then x=-2 is not a extraneous solution
Answer:
x = -2 or 3
Answer:
where n∈Z.
Step-by-step explanation:
2sin²x-1; ⇒ sin²x=1/2;
Answer:
<h2><em><u>
a) 7d - 16</u></em></h2><h2><em><u>
b) 7(d - 16)</u></em></h2>
Step-by-step explanation:
Question A:
Step 1. The product of 7 and d is = 7d.
Step 2. Then the next part is separated by a comma.
Step 3. This leads to the influence of the idea that 7d is subtracted by 16.
<em><u>Step 4. This concludes that the answer is 7d - 16.</u></em>
Question B:
Step 1: The product of 7 concludes that 7 is alone.
Step 2: The separation of and shows that the part after and is together.
Step 3: If it is together, we can conclude it goes in parentheses.
Step 4: If it is in parentheses, it means the number 7 is being distributed.
<em><u>Step 5: This concludes the answer is 7(d - 16).</u></em>
<em><u></u></em>
Hope this helped,
Kavitha
Answer:
16 - 9 = x
Step-by-step explanation:
Given:
To find:
The value of x and measure of angle A
Solution:
Alternate interior angle theorem:
If two parallel lines cut by a transversal, then the alternate interior angles are congruent.
⇒ m∠A = m∠B
Add 18° on both sides.
Subtract 3x from both sides.
Divide by 2 on both sides.
⇒ x = 30°
Substitute x = 30° in ∠A.
m∠A = 5x - 18°
= 5(30°) - 18°
= 150° - 18°
= 132°
The measure of ∠A is 132°.
