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malfutka [58]
3 years ago
7

A video game designer places an anthill at the origin of a coordinate plane. A red ant leaves the anthill and moves along a stra

ight line to (1, 1), while a black ant leaves the anthill and moves along a straight line to (−1, −1). Next, the red ant moves to (2, 2), while the black ant moves to (−2, −2). Then the red ant moves to (3, 3), while the black ant moves to (−3, −3), and so on. Complete the explanation of why the red ant and the black ant are always the same distance from the anthill. At any given moment, the red ant's coordinates may be written as (a, a) where a > 0. The red ant's distance from the anthill is (blank) . The black ant's coordinates may be written as (−a, −a) and the black ant's distance from the anthill is (blank) . This shows that at any given moment, both ants are (blank) units from the anthill.
Mathematics
1 answer:
REY [17]3 years ago
8 0

Answer:use calculator to divide the variables and use the countains as a providence

Step-by-step explanation:

You might be interested in
James and Amy play 3 more games.They have played the same number of games as last week .Fill in the blanks to make the equation
Fiesta28 [93]

Question is Incomplete; Complete question is given below;

James and Amy played 12 games of checkers last week. This week they played 7 games on Monday and 2 games on Wednesday.James and Amy play 3 more games. They have played the same number of games as last week. Fill in the blanks to make the equation true. Use +,-, or =. 12_7_2_3 Explain how you chose the symbols.

Answer:

12<u> = </u>7<u> + </u>2<u> + </u>3

Step-by-step explanation:

Given:

Number of games played last week = 12

Number of games played on Monday this week = 7

Number of games played on Wednesday this week = 2

Also given:

James and Amy play 3 more games.

So Number of games played more = 3

We need to fill in the blanks 12 __ 7__2__3 with signs '+', '-','='.

Solution:

It is given that they have played the same number of games as last week.

So we can say that;

Number of games played last week is equal to Number of games played on Monday this week plus Number of games played on Wednesday this week plus Number of games played more.

framing in equation form we get;

12 = 7 + 2+3

Hence we have fill the blanks as 12<u> = </u>7<u> + </u>2<u> + </u>3.

8 0
3 years ago
An investment strategy has an expected return of 15 percent and a standard deviation of 9 percent. Assume investment returns are
IgorLugansk [536]

Answer:

68% of an investment earning a return between 6 percent and 24 percent.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 15

Standard deviation = 9

How likely is it to earn a return between 6 percent and 24 percent?

6 = 15 - 1*9

6 is one standard deviation below the mean

24 = 15 + 1*9

24 is one standard deviation above the mean

By the empirical rule, there is a 68% of an investment earning a return between 6 percent and 24 percent.

6 0
3 years ago
What equation could be written for this table?
alexgriva [62]

9514 1404 393

Answer:

  your answer choice is correct

Step-by-step explanation:

The point (0, 3) tells you the y-intercept is 3, eliminating the 2nd and 4th choices.

The table value 3 1/2 for x=1 tells you the slope is 1/2, eliminating the 3rd choice. (y differs by 1/2 when x differs by 1)

The 1st choice is the one that works.

7 0
3 years ago
CAN SOMEONE JUST PLEASE ANSWER THIS ASAP FOR BRAINLIEST
AVprozaik [17]

x^2 - 9x + 20=x^2-4x-5x+20=x(x-4)-5(x-4)=(x-5)(x-4)

6 0
3 years ago
List parallelograms, polygons, quadrilaterals, and rectangles in order from the least specific group to the most specific one.
a_sh-v [17]

Answer:

(B)

Step-by-step explanation:

Option (B) is in correct order when talking about the specific ones.

Polygon is the least specific as it can be of many sides.

example: A polygon with 3 sides is a triangle. and the polygon with 4 sides is a quadrilateral.

Hence, quadrilateral is on the second number in least specific group.

Quadrilaterals with 2 sides parallel and equal are known as parallelogram.

Therefore, they are on the 3rd number in specific group.

Parallelograms with opposite sides parallel and equal and all the vertex angles at right angles are known as rectangles.

Therefore, rectangles are the most specific one in the group. The list is given by (option (B):

1) polygons

2) quadrilaterals

3) parallelograms

4) rectangles.

mark brainliest  :)

5 0
3 years ago
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