On a coordinate plane, 3 lines are shown. Line a has points (negative 3, 3) and (3, negative 3). Line b has points (negative 3, negative 2) and (2, 3). Line c is parallel to line b. If line b is perpendicular to line a, and line c is perpendicular to line a, what is the slope of line c? mc =
Answers
Answer:
The slope of line c is 1
Step-by-step explanation:
The given information are;
The coordinates of the points on the line a are; (-3, 3) and (3, -3)
The coordinates of the points on the line b are; (-3, -2) and (2, 3)
Line c ║ line b
Line b ⊥ line a
Line c ⊥ line a
Therefore, we have
The slope, of line c is equal to the slope,
, of line b Definition of parallel lines (The slopes of parallel lines are equal)
=
Therefore, the slope, m, of the line b is given as follows;
Where, for line b, (x₁, y₁) = (-3, -2) and (x₂, y₂) = (2, 3), we have;
From =
= 1, the slope of line c = 1.
Since line b is perpendicular to line a, and line c is perpendicular to line a, the slope of line c is equal to 1.
How to determine the slope of a line?
In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Based on the information provided above, we can logically deduce the following;
- Line c parallel line b
- Line b is perpendicular line a.
- Line c is perpendicular line a.
Therefore, the slope of line "c" can be calculated as follows;
Slope (m) = (3 - (-2))/(2 - (-3))
Slope (m) = (3 + 2)/(2 + 3)
Slope (m) = 5/5
Slope (m) = 1
Read more on slope here: brainly.com/question/28143558
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Answers
The required answer is decimal representation of long division 21 divided by 8 equals 2.625.
To divide 21 by 8 using decimal long division, follow these steps:
Step 1: Set up the division problem:
2.625
_______
8 | 21.000
Step 2: Divide the first digit of the dividend (2) by the divisor (8). The result is 0.25.
Step 3: Write the result (0.25) as the decimal part of the quotient above the division bar, directly above the decimal point in the dividend:
2.625
_______
8 | 21.000
0.25
Step 4: Multiply the divisor (8) by the decimal part of the quotient (0.25) and write the result below the dividend, aligning the decimal points:
2.625
_______
8 | 21.000
16.00
Step 5: Subtract the result from the previous step from the dividend:
2.625
_______
8 | 21.000
- 16.00
-------
5.00
Step 6: Bring down the next digit from the dividend (if any). In this case, there are no more digits in the dividend.
Since there are no more digits to bring down, we can stop the division. The quotient is 2.625.
Therefore, the decimal representation of long division 21 divided by 8 equals 2.625.
Know about that the decimal representation of long division here:
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= 8 / 8 + 8 / 8 + 5 / 8
= 2 5/8
5/8
= 2,5/4
= 1,25/2
= 0.625
Therefore 21/8 = 2 + 0.625 = 2.625
Answers
Answers
Answer: These Lines are Parallel
Step-by-step explanation: For two lines to be parallel, they must have the same slope with different y-intercepts. Both of the lines above have a slope of 3 and differing y-intercepts of 4 and -5. Therefore, these lines must be parallel to one another.
Answer:
one sec sorry
Step-by-step explanation:
Answers
Answer:
Amount of money saved = $18.87
Step-by-step explanation:
List Price of the item which is bought = $75.50
Now, This item is on discount.
Discount rate offered by the seller on the item = 25%
Discounted Price of the Item = List Price - 25% of List price
⇒ Discounted Price = 75.50 - 25% of 75.50
⇒ Discounted Price = 75.50 - 0.25 × 75.50
⇒ Discounted Price = 75.50 - 18.875
⇒ Discounted Price = $56.63
Now, Amount of money saved = List price - Discounted price
⇒ Amount saved = 75.50 - 56.63
Hence, Amount of money saved = $18.87
From the information we have been given, the original sale price is 75.50 and the discount is 25% of this price.
We need to calculate what value 25% stands for, so:
25 % of 75.50 → (25/100) ×100 → 0.25 ×75.50 = 18. 88
Therefore value of 25% of original price is 18.88 dollars
Rounded off 18.88 = 18.90 dollars.
You will save $ 18.90
The item will be sold to you at:
75.50 - 18.90 = 56. 60 dollars.
Answers
Answer:
Sherry is the wonner,winner, kark is burning
Answers
Answer:
$892.50
Step-by-step explanation: