Answer:

Step-by-step explanation:
This is a multiplication problem.
We want to multiply 
We factor to get:

We now cancel out the common factors to get:

We now multiply the numerators and the denominators separately to get.
This simplifies to 
Therefore the simplified expression is 
Answer:
$325
Step-by-step explanation:
Mae Ling earns a weekly salary of $325 plus a 6.5% commission on sales at a gift shop. How much would she make in a work week if she sold $4,800 worth of merchandise?
Answer:
1.21
Step-by-step explanation:
The cost of the grapes is the price per pound times the number of pounds
cost = 2.42 * .5
cost = 1.21
Answer:
11700 mm²
Step-by-step explanation:
A rectangle is a quadrilateral with two equal, opposite and parallel sides. Each of the angles in a rectangle is 90°.
The horizontal distance of the rectangle = r + r + r + r = 4r
The vertical distance = r + h + r = 2r + h
Where h is the distance between the midpoint of the 2 up circles and the midpoint of the down circle.
Using Pythagoras:
(2r)² = h² + r²
h² + r² = 4r²
h² = 3r²
h = √3r²
h = r√3
Vertical distance = 2r + h = 2r + r√3
Area of rectangle = vertical distance * horizontal distance
Area = 4r * (2r + r√3) = 8r² + 4r²√3 = 4r²(2 + √3)
Substituting:
Area = 4r²(2 + √3) = 4(28²)(2 + √3) = 11703.711 mm²
Area = 11700 mm² to 3 s.f
Step-by-step explanation:
General form of a conic section is:
Ax² + Bxy + Cy² + Dx + Ey + F = 0
If B = 0:
Parabola: Either x² or y² term, but not both
Circle: x² and y² have the same coefficient
Ellipse: x² and y² have different positive coefficients
Hyperbola: x² and y² have different signs
Otherwise, look at the discriminant.
If B² − 4AC < 0, then the conic is an ellipse.
If B² − 4AC = 0, then the conic is a parabola.
If B² − 4AC > 0, then the conic is a hyperbola.