You said that (xy) = 16, and (x+y) = 4 .
From the second equation you can get [ x = 4 - y ],
then substitude that for 'x' in the first equation, and
finally, rearrange the first equation to read
<u>x² - 4x + 16 = 0</u>
Don't even try to factor that quadratic equation. Go straight
to the quadratic formula, and the two solutions you find are ...
<em>x = 2 + i 2√3</em>
and
<em>x = 2 - i 2√3</em> .
Those are the two number that do what you want.
There are no <u>real</u> numbers that can do it.
Answer:
Step-by-step explanation:
This is a system of inequalities problem. We first need to determine the expression for each phone plan.
Plan A charges $15 whether you use any minutes of long distance or not; if you use long distance you're paying $.09 per minute. The expression for that plan is
.09x + 15
Plan B charges $12 whether you use any minutes of long distance or not; if you use long distance you're paying $.15 per minute. The expression for that plan is
.15x + 12
We are asked to determine how many minutes of long distance calls in a month, x, that make plan A the better deal (meaning costs less). If we want plan A to cost less than plan B, the inequality looks like this:
.09x + 15 < .15x + 12 and "solve" for x:
3 < .06x so
50 < x or x > 50
For plan A to be the better plan, you need to talk at least 50 minutes long distance per month. Any number of minutes less than 50 makes plan B the cheaper one.
First you need to write the numerical equation for the given:
When you will simplify this fraction, you can divide the expressions. Based on the law of exponents when you divide like terms with different exponents, you can subtract the exponents of the denominator from the numerator.
So if you will simplify the equation:
Subtract the following:
Exponents of a 7-4 and;
Exponents of b 8-4
Your answer should be
Answer:
five congruent triangles
Step-by-step explanation: The area of the pentagon will be the sum of the five congruent triangles formed. The area of one of these triangles is equal to the side of the pentagon*height/2
hope this helps
We need to solve the net volume of the given problem and we have 6 total rectangles with areas. Solving for the volume we have:
Length = 6 yard
width = 4 yard
height = 2 yard
Solving for the volume, we have:
Volume = 6 x 4 x 2
Volume = 48 yard³
The answer is 48 yard³.
