Answer:
the length is 12 and the width is 9.
Step-by-step explanation:
The first step is always to assign letters to the variables. We can call length L and width W.
Since all units are in cm, unit conversion is unnecessary.
Next, set up some equations. L=2W-6 because of the first sentence of the problem. Length times width equals area, so L*W=108.
Now that there are two equations and two variables, the next step is to solve the system. I'm going to solve it by plugging in the right side of the first equation in for L in the second equation. This gives me (2W-6)*W=108. Distributing the W gives me 2W^2-6W=108, or W^2-3W-54=0. Using the quadratic formula, I get that W=9. Using the first equation, L=2*9-6=12. So the length is 12 and the width is 9.
Answer:
just add all of them up
Step-by-step explanation:
Hello!
log₃(x) + log₃(x - 6) = log₃(7) <=>
<=> log₃(x * (x - 6)) = log₃(7) <=>
<=> log₃(x² - 6x) = log₃(7) <=>
<=> x² - 6x = 7 <=>
<=> x² - 6x - 7 = 0 <=>
<=> x² + x - 7x - 7 = 0 <=>
<=> x * (x + 1) - 7 * (x + 1) = 0 <=>
<=> (x + 1) * (x - 7) = 0 <=>
<=> x + 1 = 0 and x - 7 = 0 <=>
<=> x = -1 and x = 7, x ∈ { 6; +∞ } <=>
<=> x = 7
Good luck! :)
Answer:
use cymath for answer
Step-by-step explanation:
it will explain better
The system of inequalities represents the given constraints will be x + y < 20 and 15x + 25y > 375.
<h3>What is inequality?</h3>
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
A nursing student works at a doctor's office for $15 per hour and tutors other students for $25 per hour.
Let x be the number of hours for the doctor's office and y be the number of hours for the tutor.
The student cannot work more than 20 hours each week.
x + y < 20 ...1
15x + 25y > 375 ...2
The system of inequalities represents the given constraints will be x + y < 20 and 15x + 25y > 375.
More about the inequality link is given below.
brainly.com/question/19491153
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