What is the distance between points (3,8) and (-9,-8)5
10
15
20

what is the distance between points (2,6) and (5,2)
3
4
5

what is the distance between points (21,16) and (9,11)
13
12
22
24

Answers

Answer 1

Answer: It is better to graph these points, to easily understand that the distance of the two points form the hypotenuse of the right triangle. We need to use the Pythagorean theorem to solve for the distance of the two points.

a² + b² = c² ; a = x value ; b = y value

1) (3,8) and (-9,-8)
a = 3 - (-9) = 3 + 9 = 12 ⇒ 12² = 144
b = 8 - (-8) = 8 + 8 = 16 ⇒ 16² = 256 ⇒⇒ 144 + 256 = 400 ; c = √400 = 20

2) (2,6) and (5,2)
a = 2 - 5 = 3 ⇒ 3² = 9
b = 6 - 2 = 4 ⇒ 4² = 16 ⇒⇒ 9 + 16 = 25 ; c = √25 = 5

3) (21,16) and (9,11)
a = 21 - 9 = 12 ⇒ 12² = 144
b = 16 - 11 = 5 ⇒ 5² = 25 ⇒⇒ 144 + 25 = 169 ; c = √169 = 13

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(01.04 MC)Simplify the following expression: (−1)(−7)(4)

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Answers

Answer:

3 pigs

Step-by-step explanation:

First split the shape into two rectangles to find the area. On the left you can make the rectangle 10*7 and on the right subtract 7 from 16 to get 9 so the one on the right is 9*6. Find the area of both rectangles by multiplying, which will get you 70 and 54 respectively. Add these to get 124 square meters of space in the field. Now you will have to divide it by 36 to see how many pigs can fit, which results in the answer 3.4444... Round down to get 3 pigs as you can not fit another pig in the .4444... of space.

Determine the domain and range of the given function. The domain is . The range is

Answers

Answer:

A: all real numbers

and

B: All real numbers greater than or equal to -2

Step-by-step explanation:

edg2021

The domain refers to values on the X-axis, and as you can see there are arrows on the orange line, meaning it goes on "forever". This is all real numbers.

The y-axis (range) has the line go through at -2. The line is pointing up, which means all the numbers are greater than -2, or could be equal to -2.

Answer:

lA: all real numbers

B: All real numbers greater than or equal to -2

Step-by-step explanation:

Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.2b4+5

Answers

In this case, the greatest common factor IS 1;

There is no number or variable that divides evenly into both 2b^4 and 5, so you leave it as 2b^4 + 5.

What is the slope of the line that passes through the pair of points (2,6)(7,0)

Answers

Hi!

To find the slope, we use this equation.
$(y2 - y1)/(x2 - x1)$
Insert the values
$(0 - 6)/(7-2)$
Solve
$- (6)/(5)$

The answer is $- (6)/(5)$

Hope this helps! :)
-Peredhel