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3 years ago

12

The accompanying table shows the number of students enrolled in the 25 courses being taught this semester at a particular colleg

e. complete parts a through d below.

1 answer:

horsena [70]3 years ago

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Which set of angles are alternate interior angles

sweet-ann [11.9K]

Answer:

2&7

Step-by-step explanation:

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What are the x intercept and y intercept of the graph of 5x+8y=20

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Answer:

x intercept: (4,0)

y intercept: (0,2 1/2)

Step-by-step explanation:

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3 years ago

In a card game, a player earns -5 points for each red card drawn. If the player has a score of -20, how many red cards has the p

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Find equation of set of points pieces that its distance from the point 3, 4, -5 and -2, 1, 4 are equal.

Gnesinka [82]

Answer:

Step-by-step explanation:

Suppose we a point $P(x,y,z)$ such that its distance from either the point $A(3,4,-5)$ or $B(-2,1,4)$ is the same.

Using this information we can formula:

distance AP = distance BP

first, let's find the distance from AP, using the distance formula.

$r = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2}$

$AP = \sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2}$

similarly, we can find the distance BP

$BP = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}$

since both distances are exactly the same we can equate them

$AP = BP$

$\sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2} = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}$

we can simplify it a bit squaring both sides, and getting rid of the subscripts.

$(3 - x)^2 + (4 - y)^2 + (-5 - z)^2 = (-2 - x)^2 + (1 - y)^2 + (4 - z)^2$

what we have done here is formulated an equation which consists of any point P that will have the same distance from (3,4,-5) and (-2,1,4).

To put it more concretely,

This is the equation of the the plane from that consists of all points (P) from which the distance from both (3,4,-5) and (-2,1,4) are equal.

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3 years ago

If a and b are any two real numbers, explain how you calculate the difference a - b. Be sure to include the following in your ex

Tamiku [17]

- Subtraction can be thought of as the inverse operation of addition, OR as addition itself, if you look at it as adding a negative number.

- The number line allows us to interpret subtraction (or addition of a negative) geometrically; we can view it as a movement to the left on the number line with a distance equal to the number being subtracted.

- Lastly, the value of any expression a - b (where a and b are real numbers) is determined by the relative sizes of the numbers. If a > b, then a - b > 0 (a positive result). If b > a, then a - b < 0 (a negative result.

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3 years ago