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liubo4ka [24]
3 years ago
10

20 POINTS!!!! HELPPPPP THIS IS DUE TONIGHT!!!!

Mathematics
1 answer:
alexandr1967 [171]3 years ago
7 0

Step-by-step explanation:

Our coordinates are (6, 0) and (0, -3).

We can use the formula (y₂-y₁)/(x₂-x₁) to find the slope-intercept form (y=mx+b)

Now, we plug the coordinates into the formula and solve.

(0-(-3))/(6-0)

=3/6

=\frac{1}{2}

So, the slope is \frac{1}{2}.

Now, we have to find the y-intercept, which is the point where the line on the graph intersects with the y-axis.

We can find the y-intercept (which is represented by b) by plugging the information we already know into the formula.

We can use either pair of coordinates for the formula, so I'll use (6, 0).

y=mx+b

0=\frac{1}{2}(6)+b

Now, we can solve.

0=3+b

Subtract 3 from both sides.

-3=b

The y-intercept is -3.

Answer:

y=\frac{1}{2}x-3

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Which of the following is equal to the opposite of −45? −(−45) −45 −|−45| −|45|
mel-nik [20]

Answer:

-(-45) and -|45|

Step-by-step explanation:

Opposite of a number can also me termed the conjugate of such number. For example, the conjugate (opposite) of a is -a.

Also any value in the modulus sign can either be a negative or positive value. For example |a| can be +a or -a.

According to the question, we are to find the numbers that are equivalent to opposite of -45 i.e which of them are conjugate of -45.

To do this, we are to select the values in the options that will return +45.

Let's look at each option.

For -(-45):

Since the product of two negative sign will give a positive(+), then -(-45) = +45 and hence the value is opposite of -45

For -45:

-45 is a negative value and can never be positive since 45 is not inside a modulus sign. Hence, -45 is not equal to opposite of -45.

For −|−45|, |-45| can only return a positive value since -45 is already in a modulus sign. What the modulus sign will do is convert it to positive value i.e |-45| = 45. Hence -|-45| ≈ -(45) which is not also equivalent to the opposite of-45.

For -|45|:

The value inside modules will return both +45 and -45, hence it can be written as -|45| = -(-45) = +45. This shows that -|45| is also equivalent to the opposite of -45.

4 0
3 years ago
Assume that a raindrop's volume is 1 cubic centimeter. In centimeters, what would be the depth of water in a pan whose square ba
Hatshy [7]

Answer:

asd

Step-by-step explanation:

asd

6 0
3 years ago
On a number line, the distance from zero to -8 is 8 units. Which equation demonstrates this concept? A. 82 = 64 B. |-8| = 8 C. |
emmasim [6.3K]

Answer:

Option B

Step-by-step explanation:

The absolute value of a number is how far a number is from zero. We can use ' | | ' to represent the absolute volume of a number.  The distance, or absolute value, of -8 is 8.

We can represent this by writing:

|-8| = 8

Option B should be the correct answer.

7 0
3 years ago
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11. Dustin wants to build a storage box with the following dimensions: 12 inches by 2.25 ft by 1/3 yd.
Crazy boy [7]

Answer:

12 x 2.25 x 1/3 = 9

Step-by-step explanation:

L x W x H

4 0
3 years ago
What is the median of these numbers :<br> 6,7,7,8,8,4,7,6,4,6,8,7
jenyasd209 [6]

Answer:

7

Step-by-step explanation:

4,4,6,6,6,7,7,7,7,8,8

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4 0
3 years ago
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