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Yanka [14]
3 years ago
13

A grid shows the positions of a subway stop and your house. The subway stop is located at (7, -6) and your house is located at (

-9, 5). What is the distance, to the nearest unit, between your house and the subway stop?
Mathematics
2 answers:
Pachacha [2.7K]3 years ago
7 0
Use the distance formula!

d = square root of (x2-x1)^2 + (y2-y1)^2

=19.4165



valina [46]3 years ago
6 0

Answer: 19 units

Step-by-step explanation:

Given: The subway stop is located at (7, -6) and  house is located at (-9, 5).

The distance formula to find distance between (x_1,y_1)\ and (x_2,y_2) is given by :-

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Therefore, the distance between house(-9, 5) and the subway stop(7, -6) is given by :-

d=\sqrt{(7-(-9))^2+(-6-5)^2\\\\\Rightarrow\ d=\sqrt{(16)^2+(-11)^2}}\\\\\Rightarrow\ d=\sqrt{256+121}\\\\\Rightarrow\ d=\sqrt{377}\\\\\Rightarrow\ d=19.4164878389\approx19\ units

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(3x+4)-(-8-2x) simplified
goldenfox [79]

Answer:

5x+12

Step-by-step explanation:

7 0
2 years ago
16) Your salary goes from $8.75 an hour at your present job to $16.50 an hour in your new job. What is
Agata [3.3K]

Answer:

The percent change in salary from one job to the next is 88.57%.

Step-by-step explanation:

The previous salary of per hour =  $8.75 per hour

The current salary of per hour  = $16.50 per hour

Change in the salary rate per hour  =  Current salary  -  Previous Salary

                                                             = $16.50 per hour -  $8.75 per hour

                                                             =$7.75 per hour

⇒The change in the salary per hour rate is $7.75

Now, \textrm{Percentage Change in salary}  = \frac{\textrm{Change in the rate of salary}}{\textrm{Previous Salary}}  \times 100

= \frac{7.75}{8.75}  \times 100 = 88.57

or, the change in salary percentage is 88.57%

Hence, the percent change in salary from one job to the next is 88.57%.

4 0
3 years ago
Janelle wrote the matrix addition below. Which statement is true?
Sonja [21]

Option A is correct.

Step-by-step explanation:

We need to identify which statement is true in matrix addition.

In matrix addition we just add the corresponding elements.

In the options given only Option A is correct i.e, (n+4)-7  = 18

All other options have error in them.

In Option B there should be -12 instead of +12

In Option C there should be -11 instead of 11

In Option D we are not adding corresponding entries.

So, Option A is correct.

Keywords: Matrix addition

Learn More about Matrix Addition at:

  • brainly.com/question/10666510
  • brainly.com/question/4034547

#learnwithBrainly

6 0
3 years ago
Read 2 more answers
F(x)=2x+3, and g(x)=4x-2. what is f(x)+g(x)
klio [65]

Answer:

f

(

x

)

=

5

x

2

−

2

x

+

3

g

(

x

)

=

4

x

2

+

7

x

−

5

f

(

g

(

x

)

)

=

5

(

4

x

2

+

7

x

−

5

)

2

−

2

(

4

x

2

+

7

x

−

5

)

+

3

=

80

x

4

+

280

x

3

+

45

x

2

−

350

x

+

125

−

8

x

2

−

14

x

+

10

+

3

=

80

x

4

+

280

x

3

+

45

x

2

−

8

x

2

−

350

x

−

14

x

+

125

+

10

+

3

f

(

g

(

x

)

)

=

80

x

4

+

280

x

3

+

37

x

2

−

364

x

+

138

The answer is  

f

(

g

(

x

)

)

=

80

x

4

+

280

x

3

+

37

x

2

−

364

x

+

138

.

Step-by-step explanation:

8 0
3 years ago
The probability of an event is 3/10 . What are the odds of the same event?
kozerog [31]

Answer:

D. \frac{3}{7}

Step-by-step explanation:

We have been given that the probability of an event is 3/10.  

To find the odds of the same event we will use formula:

\text{Odds of an event}=\frac{\text{Probability of the event}}{\text{1-Probability of the event}}

\text{Odds of the event}=\frac{\frac{3}{10}}{1-\frac{3}{10}}

\text{Odds of the event}=\frac{\frac{3}{10}}{\frac{1*10}{10}-\frac{3}{10}}

\text{Odds of the event}=\frac{\frac{3}{10}}{\frac{10-3}{10}}

\text{Odds of the event}=\frac{\frac{3}{10}}{\frac{7}{10}}

Dividing a fraction with another fraction is same as multiplying the 1st fraction by the reciprocal of second fraction.

\text{Odds of the event}=\frac{3}{10}\times \frac{10}{7}

\text{Odds of the event}=\frac{3}{7}

Therefore, the odds of the same event is \frac{3}{7} and option D is the correct choice.


8 0
3 years ago
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