Answer:
Step-by-step explanation:
The given equation is
Differentiate both sides with respect to x
Take y and 1 to other sides of the equation
Factor out dy/dx from the left hand side of the equation
Divide both sides by (x+1)
Answer:
x^2+16x+64
Step-by-step explanation:
(x+8)(x+8)
x(x+8)+8(x+8)
x^2+8x+8x+64
=x^2+16x+64
Answer:
Step-by-step explanation:
1/3 πr²h
∆AQB is isosceles, so ∠QAB = ∠QBA.
The sum of vertex angles of ∆ABC is 180° so you have
... ∠QAB + ∠QCB + (∠QBC + ∠QBA) = 180°
Substituting what we know ...
... ∠QAB + 52° + (28° + ∠QAB) + 180°
... 2∠QAB = 100°
... ∠QAB = 50°
Because PQ is parallel to BC, ∠APQ = ∠ABC = 50° + 28°
... ∠APQ = 78°
Answer:
Karen had 45 m and m's candy.
Step-by-step explanation:
Let the number of m and m's candy be 'x'.
Now given:
Karen gave an equal amount of m and m's to herself and four friends.
So we can say that;
Number of people m and m's candy distributed equally = 5
Also Given:
Each person receives m and m's equivalent to the largest one digit number.
Now we know that;
Largest one digit number is 9.
So we can say that;
Each person receives m and m's = 9
We need to find number of m and m's Karen have.
Solution:
So we can say that;
Total number of m and m's Karen have is equal to Number of people m and m's candy distributed equally multiplied by number of m and m's can each person receives.
framing in equation form we get;
Total number of m and m's Karen had =
Hence Karen had 45 m and m's candy.