Answer:
Step-by-step explanation:
(a+ b)² = a² + b² + 2ab
(2x + y)² = (2x)² + y² + 2*2x *y
= 4x² + y² + 4xy
(a- b)² = a² + b² - 2ab
(3x - 2y)² = (3x)² + (2y)² - 2*3x *2y
= 9x² + 4y² - 12xy
(a - b)(a +b) = a² - b²
(x - 4y(x + 4y) = x² - (4y)²
= x² - 16y²
(2x + y)² - (3x - 2y)² + (x - 4y)(x +4y)
= 4x² + y² + 4xy - (9x² + 4y² - 12xy) + x² - 16y²
= 4x² + y² + 4xy - 9x² - 4y² + 12xy + x² - 16y²
= 4x² - 9x² + x² + y² - 4y² - 16y²+ 4xy + 12xy
= -4x² - 19y² + 16xy
Answer:
a shift 5 units to the left, and then a shift 3 units up.
We assume w is the number of <em>inches</em> of width (as opposed to <em>feet</em> or some other measure). The length is 7 inches more than the width, so is w+7. The area is the product of these dimensions, and the problem statement tells us that area is greater than 375 in².
... w(w+7) > 375 . . . . . the inequality that can be used to find dimensions
Answer:
Glass A is too small, Glass B is large enough and Glass C is too small ....
Step-by-step explanation:
Glasses are cylindrical in shape. Thus the formula is:
V = π r² h
For Glass A:
r = d/2 = 3.5/2
r = 1.75
h = 4 inches
Now substitute the values in the formula:
V= 3.14*(1.75)^2 * 4
V= 3.14*3.0625*4
V= 38.465 in.³ < 50in.³
For Glass B:
V = π r² h
where h = 5 inches
r = 1.9 inches
Plug the values in the formula:
V=3.14*(1.9)^2*5
V= 56.677 in³ > 50in³
For Glass C:
V = π r² h
where h=6 inches
r = 1.5 inches
Plug the values in the formula:
V= 3.14*(1.5)^2*6
V= 42.39 in³ < 50 in³
Therefore Glass A is too small, Glass B is large enough and Glass C is too small ....
Answer:
Step-by-step explanation:
1). Distributive Property of multiplication over subtraction (Distributing the 5 and the 2)
2). Communtative Property of Equality (Moving terms around)
