Answer:
The values of x are x= 2i and x= -2i
Step-by-step explanation:
We need to solve the equation:
2x^2 + 8 =0
Taking 2 common
2(x^2 +4) =0
Dividing both sides by 2
x^2+4 =0
Adding -4 on both sides
x^2 +4 -4 = 0-4
x^2 = -4
Taking square root on both sides we get
√x^2 = √-4
we know √4 = 2 and √-1 = i so answer is:
x = ± 2i
The values of x are x= 2i and x= -2i
The graph is shown in figure attached.
I think that they’re all true except for the last statement.
Answer: 3 1/4, 12(7-3), 2-0.5
Expressions are equations that aren’t solved. If there isn’t an equal sign then most likely it’s an expression
Answer:
a. Area = 1.94m²
b. Area = (p² + 0.5)m²
c. Height = 1.5m
Step-by-step explanation:
Given
<em>Let H represents Height and A represents Area</em>
<em>From the first and second statements, we have that:</em>
<em></em>
<em></em>
<em></em>
<em>a. Calculating Area When Height = 1.2</em>
<em></em>
<em></em>
<em>Substitute 1.2 for H</em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
Hence, the area is 1.94m²
<em></em>
<em>b. Calculating Area When Height = p</em>
<em></em>
<em></em>
<em>Substitute p for H</em>
<em></em>
<em></em>
<em></em>
Hence, the area is (p² + 0.5)m²
<em></em>
c. <em>Calculating Height When Area = 2.75m</em>²
<em></em>
<em></em>
<em>Substitute 2.75 for A</em>
<em></em>
<em></em>
<em>Subtract 0.5 from both sides</em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
<em>Take Square Root of both sides</em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em>
Hence, the height is 1.5m
Answer:
Son's age = 24 years
Man's age = 48 years
Step-by-step explanation:
Let's take the age of son as x
Man's age = 2x
Twelve years ago,
Son's age= x-12
Man's age= 2x-12
Man is three times as old as his son so,

Solving for x,
2x-12(1) = x-12(3)
2x-12 = 3x-36
2x-3x = -36+12
-x = - 24
x = 24
So if we substitute the values we get,
Son's age = 24 years
Man's age = 48 years
Hope you understand :)