The length around the circle is called the circumference, the length aross the circle is the diameter and half of that is called the radius.
Answer:
(
, 8 )
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 10x - 2 ← is in slope- intercept form
with slope m = 10
Parallel lines have equal slopes
then the tangent to the parabola with a slope of 10 is required.
the slope of the tangent at any point on the parabola is 
differentiate each term using the power rule
(a
) = na
, then
= 6x + 2
equating this to 10 gives
6x + 2 = 10 ( subtract 2 from both sides )
6x = 8 ( divide both sides by 6 )
x =
= 
substitute this value into the equation of the parabola for corresponding y- coordinate.
y = 3(
)² + 2
= (3 ×
) + 2
=
+ 
= 
= 8
the point on the parabola with tangent parallel to y = 10x - 2 is (
, 8 )
Answer:
A
Step-by-step explanation:
Area of a triangle:

In our case:
b=4
h=2
Plug in what we know:

Find the matching solution:
A.) it is 1/2 the area of a rectangle of length 4 units and width 2 units
X B.) it is twice the area of a rectangle of length 4 units and width two units
X C.) it is 1/2 the area of a square of side length 4 units
X D.) it is twice the area of a square of side length 4 units
Answer:
a) 5765760
b) 60480
c) 5705280
Step-by-step explanation:
Assuming that order is not important:
Number of women = 7
Number of men = 9
Members of the delegation = 6
a) How many delegations are possible?

b) How many of these delegations have all men?

c) How many of these delegations have at least one woman?

The mode is what number occurs most often. So in this set, the number that occurs most often is 5.
Mode = 5
The mean is the average of all the numbers in the set. To find the average of numbers, you add them all up then divide by how many numbers there are in the set. 5 + 6 + 8 + 3 + 5 + 7 + 4 + 11 + 5 + 7 = 61. 61 divided by 10 = 6.1 The answer is 6.1
Mean = 6.1
Good luck, my guy!