<h2>
Hello!</h2>
The answer is:
It will take 7.5 hours to paint the room together.
<h2>
Why?</h2>
Using the given information we need to write an equation considering both Colleen and Rebecca rates.
For Colleen we know that she can paint a room in 12 hours, so, her equation will be:
Being "t" the time used to paint.
For Rebecca, we know that she can paint a room in 20 hours, so, her equation will be:
Now, if we want to calculate the time needed to paint 1 room, we have:
Hence, we have that it will take 7.5 hours to paint the room together.
Have a nice day!
Answer:
What you are trying to do here is prove that the two triangles are congruent.
You want to do this using geometric statements. What kind of proof are you supposed to do?
Step-by-step explanation:
Answer:
See it hope it was helpful.
Answer:
Put the equation in standard form by bringing the 4x + 1 to the left side.
7x2 - 4x - 1 = 0
We use the discriminant to determine the nature of the roots of a quadratic equation. The discriminant is the expression underneath the radical in the quadratic formula: b2 - 4ac.
b2 - 4ac In this case, a = 7, b = -4, and c = -1
(-4)2 - 4(7)(-1)
16 + 28 = 44
Now here are the rules for determining the nature of the roots:
(1) If the discriminant = 0, then there is one real root (this omits the ± from the quadratic formula, leaving only one possible solution)
(2) If the discriminant > 0, then there are two real roots (this keeps the ±, giving you two solutions)
(3) If the discriminant < 0, then there are two imaginary roots (this means there is a negative under the radical, making the solutions imaginary)
44 > 0, so there are two real roots