Answer:
x = 1 or x = -5
Step-by-step explanation:
We are given;
- The quadratic equation, x² + 4x - 13 = -8
We are required to solve the equation using the completing square method.
To do this, we use the following steps;
Step 1: We make sure the coefficient of x² is one
x² + 4x - 13 = -8
Step 2: Combine the like terms (take the constant term to the other side)
x² + 4x - 13 = -8
x² + 4x = -8 + 13
we get
x² + 4x = 5
Step 3: We add the square of half the coefficient of x on both sides of the equation
Coefficient of x = 4
Half of coefficient of x = 2
Square of half the coefficient of x = 2² (4)
We get;
x² + 4x + (2²) = 5 + (2²)
Step 4: Put x and 2 under one square and the solve the other side of the equation.
We get
(x + 2)² = 5 + 4
(x + 2)² = 9
Step 5: Get the square root on both sides of the equation;
(x + 2)² = 9
√(x + 2)² = ±√9
(x + 2)= ±3
Therefore;
x+2 = + 3 or x + 2 = -3
Thus, x = 1 or -5
The solution of the equation is x = 1 or x = -5
<span>1. B. 2.5x
2. A. 1/2 y- 4
3. D. v=15.00n </span>
25 Dollars
15x100/60=25$
i got the 60 from 100-40 (40%off)
then 15 times 100 and divide that by 60
Answer:
156 minutes
Step-by-step explanation:
2 hrs=120 minutes
3/5 hr=3/5 *60=36 minutes
120+36=156 minutes
hope this helps
brainliest?
b. It depends on the value you assume for the power line voltage. If you assume it is 120 volts, then the ratio to battery voltage is
... (120 volts)/(1.2 volts) = 100
Power line voltage is 100 times as large as battery voltage.
_____
Please be aware of some difficulties in this question.
1. Power line voltage, even if it is "120 volts" varies over time from -170 V to +170 V, so is not really comparable to a battery's voltage, which is steady at 1.2 V.
2. The terminology "times larger" is ambiguous. When we answer the question, "how much larger is <em>a</em> than <em>b</em>," we give the response in terms of the difference a-b. Thus, if <em>a</em> is 2 times <em>larger</em> than <em>b</em>, we might be talking about the <em>difference</em> being twice the value of <em>b</em>. It is preferable to say "times as large as."
