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Nikitich [7]
4 years ago
6

If the slope of two lines are negative reciprocals,the lines are perpendicular

Mathematics
1 answer:
Temka [501]4 years ago
7 0

Answer:

Step-by-step explanation:

Yes, "If the slopes of two lines are negative reciprocals,the lines are perpendicular" is correct.

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A cleaning company charges x dollars per hour to clean floors and y dollars per hour to clean the rest of a house.
saul85 [17]
The answer is B. (15,18)

Solution:

First, let's set the variables first.

X = dollars per hour to clean the floor
Y = dollars per hour to clean the rest of the house

For the first statement, "<span>2 hours to clean floors and 3 hours to clean the rest of a house, the total charge is $84"
We can put it into an equation.
         2X + 3Y = 84       </span>⇒    equation 1

For the first statement, "<span>1 hour to clean floors and 4 hours to clean the rest of a house, the total charge is $87'
         X + 4Y = 87         </span>⇒    equation 2

Multiply first equation 2 by 2 to make the coefficient of both equations 1 and 2 the same.

Using elimination method in solving for x and y,

 
  (equation 1)              2X + 3Y = 84
  
 (equation 2)            2(X + 4Y) = 87   
                                    2X + 8Y = 174  
⇒ equation 3

Next, subtract equation 3 from equation 1.
            2X + 3Y = 84
      -   (2X + 8Y = 174)
        -------------------------
                  - 5Y = -90
                      Y = 18

Find X when Y = 18
@ equation 1  :    2X + 3Y = 84
                            2X + 3(18) = 84
                            2X + 54 = 84
                            2X = 84 - 54
                            2X = 30
                             X = 15
   
The answer is in ordered pairs of cleaning the floors and to clean the rest of the house. So, in the form (X,Y).

Answer: (15,18)

6 0
3 years ago
when the digits of a two digit number are reversed the new number is 54 less than the original number. if the sum of its digits
Marianna [84]
17

71 - 17 = 54

1 + 7 = 8

17 is your answer

hope this helps
6 0
3 years ago
Read 2 more answers
Ms. Patel has 24 students in her class. When she collected yesterday's homework, Ms. Patel found that 16 students completed the
azamat

Answer:

<em>Maybe</em><em> </em>

<em>1</em><em>/</em><em>8</em><em> </em><em>is </em><em>the </em><em>probability</em><em> </em><em>that </em><em>the </em><em>first </em><em>two </em><em>assignments</em><em> </em><em>Ms.patel </em><em>collected </em><em>were </em><em>completed</em><em> </em><em>in </em><em>pencil</em>

8 0
3 years ago
PLEASE ANSWR DUE BY 11:59 P.M TODAY 50 POINTS
hoa [83]

Answer:

1) 1/4

3) 1/12

4) 5/6

Step-by-step explanation:

1) P(Red) = 1/4

4 options out of which 1 is red

2)

Black --> Black, White, Yellow

Green --> Black, White, Yellow

Red --> Black, White, Yellow

White --> Black, White, Yellow

First 4 branches for buttons.

From each of these 4 branches, make 3 further branches for ribbons

3) In the tree diagram, there are

12 (4×3 = 12) equally likely outcomes

Out of which 1 is (Black, Black)

So, P(Black & Black) = 1/12

4) out of the 12 outcomes, only 2 have same colour of bottom ribbon:

(Black, Black) & (White,White).

Other 10 have different colours.

P(different) = 10/12 = 5/6

5 0
3 years ago
ALEKS<br> y=-x-3<br> y=2x-1<br> Round to the nearest hundredth.
GenaCL600 [577]
10 I think I’m not sure


5 0
3 years ago
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