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Slav-nsk [51]
3 years ago
15

Evaluate the expression.

Mathematics
1 answer:
tangare [24]3 years ago
8 0

Absolute values make any value, positive and negative, always be positive.


So,


| 18 | = 18

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Quadrilateral ABCD is a rectangle. If the coordinates of A
Neporo4naja [7]
<h3>Answer: A)  -2</h3>

==========================================

Explanation:

Let's find the slope of line AB

m = (y2-y1)/(x2-x1)

m = (2-7)/(-6-4)

m = (-5)/(-10)

m = 1/2

The slope of line AB is 1/2

To get the slope of BC, we flip the fraction and the sign to get the perpendicular slope

1/2 becomes -2/1 or simply -2

----------

Slope of AB = 1/2

Slope of BC = -2

Notice how the two perpendicular slopes multiply to -1.

We know they are perpendicular because the four angles of any rectangle are always 90 degrees each.

5 0
2 years ago
​A college student only saves quarters and dimes in her piggy bank. She empties out her piggy bank at the end of each month. Thi
Nadusha1986 [10]
For this case, the first thing we must do is define variables:
 x = number of quarters
 y = number of dimes
 We now write the system of equations:
 x + y = 28
 0.25x + 0.10y = 4.05
 Solving the system of equations we have:
 x = 8.33
 y = 19.66
 Rounding:
 x = 8
 y = 20
 Answer:
 
the college student has:
 
8 quarters
 
20 dimes
8 0
3 years ago
Helpp marking brainliest
Sav [38]
Answer:
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7 0
3 years ago
Write an expression in terms of x that represents the distance between (2,10) and (x,10) for x&gt;2.
ehidna [41]

Answer:

Step-by-step explanation:

d=\sqrt{(x-2)^2+(10-10)^2} =\sqrt{(x-2)^2}=x-2

7 0
3 years ago
If ethans monthly expenses are 1160 and his debt to income ratio is 0.8 what is his monthly salary
lukranit [14]

Answer:

\(1450\)

Step-by-step explanation:

Based on the given conditions, formulate: \frac{1160}{0.8}

Convert decimal to fraction:\(\dfrac{1160} {\dfrac{8}{10}}\)

Divide a fraction by multiplying its reciprocal:\(1160 \times \dfrac{10}{8}\)

Cross out the common factor: \(145 \times 10\)

Calculate the product or quotient: \(1450\)

get the result: \(1450\)

Answer: \(1450\)

7 0
3 years ago
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