Answer:
= 21i
Step-by-step explanation:
√-9 = 3i
= 7 . 3i
Multiply the numbers: 7 . 3 = 21
= 21i
Hope this helps!
Hey there! :)
If you switch the equation around, it becomes: 14 + x = 4
x = -10 because: -10 + 14 = 4
x = -10
Hope this helps :)
Answer:
Yes
Step-by-step explanation:
Theorem 8.3: If two angles are complementary to the same angle, then these two angles are congruent.
The area of the given parallelogram is 120.
Step-by-step explanation:
Step 1:
The parameters needed to determine the area of a parallelogram are the base length and height.
The base length of this parallelogram is 15 inches while its height is 8 inches.
The area of a rectangle is determined by multiplying the base length with the height.
Step 2:
The area of the parallelogram 
Here the base length is 15 inches and the height is 8 inches.
The area of the parallelogram 
So the area of the given parallelogram is 120.
Step-by-step explanation:
16.................................................
<h3>Given</h3>
- Equation ax² + bx + c = 0
- One of the roots is twice the other
<h3>To find</h3>
<h3>Solution</h3>
Let the roots be p and q
<u>The sum and product of the roots:</u>
<u>The sum of the roots, considering p = 2q,</u>
And
<u>The product of the roots, considering p = 2q:</u>
And
<u>Substitute q with -b/(3a)</u>
- 2(-b/(3a))² = c/a
- 2b²/(9a²) = c/a
- 2b² = 9a²(c/a)
- 2b² = 9ac
=================================================
17. .................................................
<h3>Given</h3>
Quadratic equation
- ax² = bx + c = 0, with equal roots
<h3>To find</h3>
<h3>Solution</h3>
<u>Equal roots means the discriminant is zero:</u>
- D = √b² - 4ac
- √b² - 4ac = 0
- b² - 4ac = 0
- b² = 4ac
