Given:
Rectangle shape.
One side: 5x + 2
other side: x - 4
Area = length * width
Area = (5x+2)(x-4)
A = 5x(x-4) +2(x-4)
A = 5x² - 20x + 2x - 8
A = 5x² - 18x - 8
Answer:
Therefore the cone is the greatest relative increase in volume.
Step-by-step explanation:
Cone:
Original cone = (1/3)π(h)r^2
Changed cone = (1/3)π(h/2)(3r)^2
= (1/2)(1/3)π(h)9r^2
= (9/2) * Original cone
=4.5 * Original cone
Cylinder:
Original cylinder = π(h)r^2
Changed cylinder = π(2h)r^2
=2 * Original cylinder
Therefore the cone is the greatest relative increase in volume.
Answer:Robert's minimum age is 11 years.
Step-by-step explanation:
Let x represent George's age.
Let y represent Edward's age.
Let z represent Robert's age.
George is twice as old as Edward. It means that
x = 2y
Edward's age exceeds Robert's age by 4 years. It means that
z = y - 4
If the sum of the three ages is at least 56 years, it means that
x + y + z ≥ 56 - - - - - - - - - - 1
Substituting x = 2y and z = y - 4 into equation 1, it becomes
2y + y + y - 4 ≥ 56
4y - 4 ≥ 56
4y ≥ 56 + 4
y ≥ 60/4
y ≥ 15
z = y - 4 = 15 - 4
z ≥ 11
The answer is A,
. This is because when plugging in -2 for x, the expression will look like this:
. To make the exponent positive, you have to flip it into a fraction. Then it will be
. Lastly, you simplify the denominator into 81.
The slope formula is y2-y1/x2-x1 so 5-(-1) =6 Then. 1-(-1)=2 so 6/2. =3. THE ANSWER IS 3
