The surface area of a sphere of radius r is A = 4π*r^3.
Since the radius in this case is 7 cm (half the 14 cm diameter), the area of this sphere is
A = 4π(7 cm)^2, or 196π cm^2.
4)
3x-2y=10
5x+y=4
We solve this system of equation by elimination method.
3x-2y=10
2(5x+y=4)
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13x=18
Answer: A) 13x=18
5)
slope-intercept form:
y=mx+b
y=f(x)
m=slope
b=y-intercept
1) we calculate the slope:
we choose any two points of this table:
For example: (2,2) and (3,4)
Given two points (x₁,y₁) and (x₂,y₂) the slope of the line that passes through these points will be:
m=(y₂-y₁)/(x₂-x₁)
In this case:
m=(4-2)/(3-2)=2
2) we compute "b";
we choose an any point of this talbe:
For example: (4,6), and we substitute "x" for "4" and "y" for "6" in the next equation:
y=2x+b
6=2(4)+b
b=6-8
b=-2
3) we build the function that it belong this table:
m=2
b=-2
f(x)=mx+b
f(x)=2x-2
Answer: B) f(x)=2x-2
Make a system of equations:
0.10x + 0.25y = 3.95
x + y = 23
x + y = 23
Subtract 'y' to both sides:
x = -y + 23
Plug in -y + 23 for 'x' in the first equation:
0.10(-y + 23) + 0.25y = 3.95
Distribute 0.10:
-0.10y + 2.3 + 0.25y = 3.95
Subtract 2.3 to both sides:
-0.10y + 0.25y = 1.65
Combine like terms:
0.15y = 1.65
Divide 0.15 to both sides:
y = 11
Plug this into any of the two equations to find 'x':
x + y = 23
x + 11 = 23
Subtract 11 to both sides:
x = 12
So Sally has 11 dimes and 12 quarters.
Answer:
angles on opposite sides of a transversal that crossess parallel lines and are inside the other two lines
Step-by-step explanation:
