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Tatiana [17]
2 years ago
10

What is the equation of the line that passes through (2,-6) and has a slope of -1

Mathematics
1 answer:
denis-greek [22]2 years ago
8 0
Y = -1x + b
Plug in equation
-6 = -1(2) + b
-6 = -2 + b, b = -4
Solution: y = -1x - 4
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Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the sq
stiv31 [10]

Answer:

18

Step-by-step explanation:

Remark

This is one of those questions that can throw you. The problem is that do you include the original rectangle or not. The way it is written it sounds like you shouldn't

However if you don't the question gives you 2 complex answers. (answers with the sqrt( - 1) in them.

Solution

Let the width = x

Let the length = x + 5

Area of the rectangle: L * w = x * (x + 5)

Area of the smaller squares (there are 2)

Area = 2*s^2

x = s

Area = 2 * x^2

Area of the larger squares = 2 * (x+5)^2

Total Area

x*(x + 5) + 2x^2 + 2(x + 5)^2 = 120                 Expand

x^2 + 5x + 2x^2 + 2(x^2 + 10x + 25) = 120     Remove the brackets

x^2 + 5x + 2x^2 + 2x^2 + 20x + 50 = 120      collect the like terms on the left

5x^2 + 25x +  50 = 120                                   Subtract 120 from both sides.

5x^2 + 25x - 70 = 0                                         Divide through by 5

x^2 + 5x - 14 = 0                                               Factor

(x + 7)(x - 2) = 0                                                 x + 7 has no meaning  

x - 2 =  0

x = 2                                                              

Perimeter

P = 2*w + 2*L

w = 2

L = 2 + 5

L = 7

P = 2*2 + 2 * 7

P = 4 + 14

P = 18

8 0
2 years ago
Non example of complex fraction.
Law Incorporation [45]

Answer:

42/6

Step-by-step explanation:

:P

6 0
3 years ago
Read 2 more answers
What is the length of the segment connecting the points (-9,3) and (-9,-2)?
kramer

Answer:

5

Step-by-step explanation:

same x coordinate

length = 3 + 2 = 5

3 0
3 years ago
What is the value of 30-(-45) ?
zlopas [31]
<h2>Answer:</h2>

<h3>75</h3>

<h2>Step-by-step explanation:</h2>

30 - ( - 45) \\  \\ 30 + 45 \\  \\ 75

<h2>Hope it help you </h2>

<h2>Mark me as a brain list </h2>
6 0
3 years ago
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Joan sells new cars at a local dealership. She receives a 25% commission on the profit each car is sold for. Last month she sold
bazaltina [42]

So Joan receives 25% commission on the profits of the cars she sells. She got $8,870 on the profit last month. To find the commission, let’s multiply the amount of profit by the percentage. 8,870 * 0.25 is 2,217.5. There. Joan earned $2,217.50 in commission last month.

6 0
3 years ago
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