The equation that can be ued to solve for the width of the rectangular frame is 2x² + 14x - 40 = 0.
<h3>What is the equation that can be used to solve for the width?</h3>
A rectangle is a 2-dimensional quadrilateral with four right angles.
Area of a rectangle = length x width
(2x + 4) x (2x + 10) = 120
Expand the brackets
4x² + 20x + 8x + 40 = 120
Add similar terms
4x² +28x + 40 = 120
4x² +28x - 80 = 0
Divide through by 2
2x² + 14x - 40 = 0
To learn more about how to calculate the area of a rectangle, please check: brainly.com/question/16595449
Answer:
You'd get 18s^2/6t by simply multiplying. To simplify just decide each sides by 6 and you'd get 3s^2/t
Step-by-step explanation:
Answer:
264 pounds
Step-by-step explanation:
Write the question in the form of a ratio:
Natasha: Krutika: Jim
1:3:6
Now, we divide the amount of 880 in the ratio.
there are 10 parts in total.
1 part = 880 divided by 10 = 88.
since Krutika gets 3 parts, she gets 88 x 3 = 264
You have the right idea that things need to get multiplied.
What should be done is that the entire fraction needs to get multipled by the lowest common denominator of both denominators.
Let's look at the complex numerator. Its denominators are 5 and x + 6. Nothing is common with these, so both pieces are needed.
The complex denominator has x - 3 as its denominator. With nothing in common between it and the complex numerator, that piece is needed.
So we multiply the entire complex fraction by (5)(x + 6)(x -3).
Numerator: 
= (x+6)(x-3) - (5)(5)(x-3)
= (x+6)(x-3) - 25(x-3)
= (x-3)(x + 6 - 25) <--- by group factoring the common x - 3
= (x -3)(x - 19)
Denominator:
Now we put the pieces together.
Our fraction simplies to (x - 3) (x - 19) / 125 (x + 6)
