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3 years ago

What is the relationship between APB and minor arc AB?

Mathematics

1 answer:

Dmitry [639]3 years ago

4 0

Answer:

Step-by-step explanation:

If APB is measured in radians, then the arc length AB = APB(r) where r is the radius of the circle.

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Consider the line that passes through each pair of given points, and decide what type of slope the line has.

tatiyna

Answer:

The types of slope for each pair are:

(2, 4) and (5, 1) => Negative

(3,5) and (-1,2) => Positive

(-7, 8) and (-7,0) => Undefined

(6.-3) and (4, -3) => Zero

Step-by-step explanation:

We will find the slope of each line to check the type of slope.

Slope is given by the formula:

$m = \frac{y_2-y_1}{x_2-x_1}$

Here (x1,y1) are the coordinates of first point and (x2,y2) are coordinates of second point

Now,

$m = \frac{1-4}{5-2} = \frac{-3}{3} =-1$

The slope is negative.

$m = \frac{2-5}{-1-3} = \frac{-3}{-4} = \frac{3}{4}$

The slope is positive

(-7, 8) and (-7,0)

$m = \frac{0-8}{-7+7} = \frac{-8}{0}$

division by zero makes the slope undefined.

(6.-3) and (4, -3)

$m=\frac{-3+3}{4-6} = \frac{0}{-2} = 0$

The slope is zero

Hence,

The types of slope for each pair are:

(2, 4) and (5, 1) => Negative

(3,5) and (-1,2) => Positive

(-7, 8) and (-7,0) => Undefined

(6.-3) and (4, -3) => Zero

3 0

3 years ago

Read 2 more answers

Find an explicit formula for the geometric sequence 2, 6, 18, 54, ....

Eddi Din [679]

The geometric sequence can be represented explicitly or as recursions

The explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)

<h3>How to determine the explicit formula?</h3>

The sequence is given as:

2, 6, 18, 54, ....

Start by calculating the common ratio (r)

r = b2/b1

This gives

r = 6/2

Evaluate the quotient

r = 3

A geometric sequence is represented as:

b(n) = b1 * r^(n-1)

This gives

b(n) = 2 * 3^(n-1)

Hence, the explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)

Read more about geometric sequence at:

brainly.com/question/24643676

7 0

2 years ago

A dump truck is unloading sand that falls into a conical pile. Find the height of the cone when the diameter of the pile is 16 f

Rudiy27

Answer:

8.21

Step-by-step explanation:

formula is:

V= 3 $\frac{volume}{pie(diameter)}$

you plug everything in but when you go to plug in your diameter you need to use the radius. the radius is always half of the diameter.

6 0

3 years ago

HELP ME PLEASE

xxMikexx [17]

The graph x2 only has 1 x-intercept, because it is directly on the origin.
The graph x2+2 is the parent function shifted up by 2 units. Since the lowest point is (0,2) and the graph points up, it has no x-intercepts.

6 0

3 years ago

Which number is a solution of the inequality? X+4<7

Svetradugi [14.3K]

The answer for the last one at the bottom, 5x + 17 > = 7, the answer is D. x> = -2

For the 1st one up top, the answer is B. 3.

4 0

3 years ago