Answer:
Step-by-step explanation:
Recall that the volume of a whole sphere is given by the formula:
then, the volume of a semi-sphere would be half of the formula above:
Now, the radius R is given by half of the semi-sphere diameter: 15/2 = 7.5 cm.
which makes our calculation:
Original line equation: y=-4x+4
Perpendicular lines have opposite reciprocals, so the slope of the perpendicular line would be 1/4x.
Perpendicular line equation: y=1/4x+b
Plug in the coordinates that the line passes through to solve for b. Plug -8 in for x and 2 in for y.
2=1/4(-8)+b
Multiply.
2=-2+b
Add 2 to both sides.
4=b
Equation of the perpendicular line: y=1/4x+4
Hope this helps! :)
Answer: Option D) 3 x 5 + 4 x 2
Step-by-step explanation:
- Since a dozen muffins costs $5.
Buying 3 dozen muffins means (3 x $5)
- Since Large bottles of juice cost $2.
The cost of 4 large bottles of juice is (4 x $2)
Hence, the total cost is (3 x $5) + (4 x $2)
= $15 + $8
= $23
Now, you'll notice that "3 x 5 + 4 x 2" gives 23.
Thus, it is the only expression that could be used to find the total cost.
Answer:
1. Multiples
2. factors
3.multiples
4.factor
5.factor
Step-by-step explanation:
4x - 7 < 17
+ 7 + 7
4x < 24
4 4
x < 6
Solution Set: (6, ∞) and {x|x < 6}
