Sorry this just got deleted :( ill post it again
= 7
I'm sorry I'm bad at explaining how i solved it
= 7
I'm sorry I'm bad at explaining how i solved it
Factorise the following:1. 3p - 3q2. 8m + 12n + 16 r3. 4x² - 6xy
1 answer:
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Answer:
The area of the rectangle is increasing at a rate of 84 square centimeters per second.
Step-by-step explanation:
The area for a rectangle is given by the formula:
Where <em>w</em> is the width and <em>l</em> is the length.
We are given that the length of the rectangle is increasing at a rate of 6 cm/s and that the width is increasing at a rate of 5 cm/s. In other words, dl/dt = 6 and dw/dt = 5.
First, differentiate the equation with respect to <em>t</em>, where <em>w</em> and <em>l</em> are both functions of <em>t: </em>
By the Product Rule:
Since we know that dl/dt = 6 and that dw/dt = 5:
We want to find the rate at which the area is increasing when the length is 12 cm and the width is 4 cm. Substitute:
The area of the rectangle is increasing at a rate of 84 square centimeters per second.
Answer:
x = -7
Step-by-step explanation:
To find the value of x, you need to set up a proportion:
=
Then cross multiply:
15x - 15 = 18x + 36
Then subtract 15x from both sides:
-15 = 3x + 36
Subtract 36 from both sides:
-51 = 3x
Finally, divide both sides by 3:
x = -7