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GenaCL600 [577]
3 years ago
8

Which pair of equations represents two perpendicular lines? Option A: -3x +2y = 10 and 3y = 2x +12 Option B: 2x + 5y = 45 and y

+ 2/5x = -9 Option C: x= 4y +4 and x +4y=4 Option D: 7x + 4y= 20 and y-3=4/7x
Mathematics
1 answer:
jek_recluse [69]3 years ago
8 0
For the equation of the line expressed as Ax + By + C = 0, the value of the slope (m) is calculated by -A / B. For perpendicular lines, the slope of one should be the negative reciprocal of the other. From the choices given, the lines that are perpendicular is Option A. 
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A circle has a circumference of 42 in.what is the area of the circle
Solnce55 [7]

Answer:

140.37 in²

Step-by-step explanation:

C = 2πr

42 = 2πr

21 = πr

r = 21/π

A = πr²

A = π × (21/π)²

≈ 140.37 in²

3 0
3 years ago
Read 2 more answers
A department store buys 200 shirts at a cost of $5,400 and sells them at a selling
jekas [21]

Number of shirts a department store bought = 200

Cost price of 200 shirts = $5400

Cost price of 1 shirt :

=\tt  \frac{5400}{200}

\color{plum} =\tt \$27

Thus, the cost price of one shirt = $27

Price at which the department store sold each shirt = $30

Which means :

▪︎Cost price of shirt = $27

▪︎Selling price of shrit = $30

Since selling price is greater than cost price, there was a markup in the price of the shirts.

We know that :

\color{hotpink}\tt \: markup \: percentage = \color{plum}  \frac{selling \: price - cost \: price}{cost \: price }  \times 100

Markup percentage in the price of the shirts :

=  \tt \frac{30 - 27}{27}  \times 100

=  \tt \frac{3}{27}  \times 100

= \tt  \frac{3 \times 100}{27}

= \tt  \frac{300}{27}

\color{plum} =  \tt11.1  \%

Thus, the percentage of markup = \tt 11.1  \%

Therefore, the percentage of markup in the shirt's price = \color{hotpink} \tt11.1  \%

3 0
2 years ago
Read 2 more answers
What is the third step when calculating the Mean Absolute Deviation (MAD)
gogolik [260]

Answer:

Step 3: Add those deviations together.

Step-by-step explanation:

5 0
2 years ago
Evaluate the expression when x= -5.2 and y = –6.8.<br> 4x-7y
vfiekz [6]

Step-by-step explanation:

Substitute variables with given values

Minus sign becomes plus sign if a negative is multiplied by a negative or a negative is put next to a negative number.

4x-7y=4(-5.2)-7(-6.8)

-20.8+47.6=26.8

7 0
2 years ago
A) Find the GCF<br> B) Factor out the GCF<br> C) What are the solutions?
Shalnov [3]

Answer:

A) GCF = b^{2}

B) b^{2}(3b + 10) = 0

C) b = 0, b = -10/3

Step-by-step explanation:

4 0
2 years ago
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