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2 years ago

Which statements are true Select three options.

Mathematics

1 answer:

BARSIC [14]2 years ago

4 0

The line x = 0 is perpendicular to the line y = -3:

Correct. Any horizontal line (y = a) and any vertical line (x = b) intersect at some point and are perpendicular.

All lines that are parallel to the y-axis are vertical lines:

Correct. The y-axis is a vertical line, so any lines that are parallel to it must also be vertical.

All lines that are perpendicular to the x-axis have a slope of 0.

Incorrect. Lines that have a slope of 0 are horizontal, and the x-axis is horizontal as well. Any lines with a slope of 0 are parallel to the x-axis, not perpendicular to it.

The equation of the line parallel to the x-axis that passes through the point (2, 6) is x = 2.

Incorrect. x = 2 is a vertical line, and vertical lines cannot be parallel to the horizontal x-axis. x = 2 is perpendicular to the x-axis, however.

The equation of the line perpendicular to the y-axis that passes through the point (-5, 1) is y = 1.

Correct. The line y = 1 is horizontal, and the y-axis is a vertical line. Because the line y = 1 crosses the y-axis, the lines are perpendicular.

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A species of horned beetle has a (starting) population size of 4000 individuals. Every month, 170 individuals are born. However,

erma4kov [3.2K]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Starting population = 4000

Addition per month = 170

decline on population per month = 70

Increase rate in population per month (dt) :

Starting population = 4000

Number of births per month = 170

However, the population declines by 70 individuals each month

Hence,

Number of births - number of deaths(d) = 70

170 - d = - 70 ( decline?

170 + 70 = d

240 = d

d = number of deaths

Per capita death :

Total number of deaths per. Month / starting population

= 240 / 4000

= 0.06

8 0

1 year ago

Joanna pays $40 plus a $2 surcharge each month for her high-speed Internet service. Which table BEST represents the relationship

Musya8 [376]

can you show the tables ?

7 0

2 years ago

Edmund fills his gas tank on Monday morning an then drives ten miles total for work each day of the work week. With a full tank

timama [110]

Answer:

50 miles.

Step-by-step explanation:

Edmund fills his gas tank on Monday morning an then drives ten miles total for work each day of the work week.

With a full tank of gas he can drive 100 miles.

Question asked:

How many miles can he drive on the weekend, before he he fills up again?

Solution:

With full tank he can drive a total distance = 100 miles

Each day of the work week, he drives = 10 miles

Total miles, he drive in whole work week (Monday - Friday) = $10\times5=50\ miles$

Now, to find that many miles he can drive on the weekend (Saturday and Sunday), we will subtract total miles, he drive in whole work week from the total distance, he can drive with full tank of gas:-

100 - 50 = 50 miles.

Therefore, he can drive 50 miles on the weekend, before he he fills up again.

4 0

2 years ago

The crew of apollo 17 consisted of 2 pilots and a geologist. Suppose that nasa had actually trained 9 pilots and 4 geologists as

Troyanec [42]

They could have assembled total 336 different possible crews.

Explanation

Total number of trained pilots is 9 and geologists is 4.

The crew should be consisted of 2 pilots and 1 geologist. That means, 2 pilots are chosen from total 9 and 1 geologist is chosen from total 4.

Number of ways for choosing 2 pilots from 9 $= ^9C_{3} =84$ and

Number of ways for choosing 1 geologist from 4 $=^4C_{1}= 4$

So, the total possible number of different crews they could have assembled $=84*4= 336$

8 0

2 years ago

If point A is located at (-3,-1) and there are 10 points between A and B, what could be the possible coordinates for point B?

Nataly [62]

Answer:

Step-by-step explanation:

By drawing the point (-3,-1) in the coordinate plane we find the graph shown below. Since there are 10 points between points A and B, we need to start at point A and then we have to move 11 units either to the right, to the left, up, or down .

1. MOVING TO THE RIGHT:

From point A, move 11 units horizontally to the right to come to point B:

(-3+11, -1) = (8, -1)

2. MOVING TO THE LEFT:

From point A, move 11 units horizontally to the left to come to point B:

(-3-11, -1) = (-14, -1)

3. MOVING UPWARD:

From point A, move 11 units vertically upward to come to point B:

(-3, -1+11) = (-3, 10)

4. MOVING DOWNWARD:

From point A, move 11 units vertically downward to come to point B:

(-3, -1-11) = (-3, -12)

So this are the basic movements you can get to find point B. You also can move diagonally upwards or downwards in whose case you would find other four points. The graph below shows a red point which is A, and the other points are in black color and represent B.

7 0

2 years ago