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frutty [35]
3 years ago
6

Determine the relationship of the lines of the following linear equations: y= 5/4x+3 and y=-4/5x-9

Mathematics
1 answer:
Cloud [144]3 years ago
6 0

Answer:

The lines are perpendicular.

Step-by-step explanation:

Slope of line A = ⁵/₄

Slope of line B = -⅘

The slopes are negative reciprocals of each other.

∴ The lines are perpendicular.

You might be interested in
Which Venn diagram shows the correct relationship among different set of numbers and correct numbers placement of -648
MA_775_DIABLO [31]

Answer:

A

Explanation:

The whole numbers are the numbers that we use to count like 1, 2, 3, ...

Then, integer numbers are the set that contains the whole numbers and the negative numbers, so the integer number are like ... -3, -2, -1, 0, 1, 2, 3, ...

Therefore, -648 is an integer number.

Finally, the rational numbers are numbers that can be written as a/b, where a and b are integers.

So, the answer is A because rational numbers contain integer numbers, integer numbers contain whole numbers and -648 is a integer number.

5 0
1 year ago
3,524 a que numero decimal corresponde?
denpristay [2]

Answer:

3,524 corresponde al fraccionario \frac{3524}{1000}.

Step-by-step explanation:

La coma está desplazada tres espacios (3 dìgitos) hacia la izquierda del observador, el número decimal tiene su equivalente forma fraccionaria, en donde el numerador son todos los dìgitos en series y el denominado tiene la forma 10ⁿ, donde n es la cantidad de espacios que ha sido desplazada la coma. Entonces, 3,524 tiene la siguiente expresión:

3,524 = \frac{3524}{10^{3}}

3,524 = \frac{3524}{1000}

3,524 corresponde al fraccionario \frac{3524}{1000}.

5 0
3 years ago
Perform the following division. Be sure answers are reduced to lowest terms. 2 7/8 ÷ 1/4 =
sergejj [24]
The answer is:  [D]:  11  1/2  .
___________________________________________________________

Explanation:
___________________________________________________________
 2  7/8 <span>÷ 1/4  =

23/8  </span>÷  1/4 =  23/8 * 4/1 ;  The "4" cancels to a "1"; and the "8"
                                                       cancels to a "2";  (since "8÷4 =2" ;
                                                                                and "4÷4 = 1" ;
__________________________________________________________
  → 23/8 * 4/1 =  23/2  * 1/1   = 23/2  * 1  =  23/2 = 11  1/2 ; 
__________________________________________________________
                                                      → which is:  Answer choice:  [D].
__________________________________________________________ 
4 0
3 years ago
85 is 15% of what number
Illusion [34]

Answer:

We have, 15% × x = 85

or,  

15

100

× x = 85

Multiplying both sides by 100 and dividing both sides by 15,

we have x = 85 ×  

100

15

x = 566.67

5 0
3 years ago
Read 2 more answers
Box A has 14 black pens and 6 blue pens box B has 9 black pens and 3 blue pens a pen is randomly chosen from each box list these
earnstyle [38]

Answer:

The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Possible outcomes:

Black - Black

Black - Blue

Blue - Black

Blue - Blue

Probability of each outcome:

Black-Black:

14 out of 20, and then 9 out of 12. So

P_{BkBk} = \frac{14}{20} \times {9}{12} = \frac{14*9}{20*12} = \frac{126}{240}

Black-Blue:

14 out of 20, then 3 out of 12. So

P_{BkBl} = \frac{14}{20} \times {3}{12} = \frac{14*3}{20*12} = \frac{42}{240}

Less likely than black-black.

Blue - Black:

6 out of 20, then 9 out of 12. SO

P_{BlBk} = \frac{6}{20} \times {9}{12} = \frac{6*9}{20*12} = \frac{54}{240}

More likely than black-blue, less likely than black-black.

Blue - Blue

6 out of 20, then 3 out of 12

P_{BlBl} = \frac{6}{20} \times {3}{12} = \frac{6*3}{20*12} = \frac{18}{240}

Least likely of the outcomes.

List these events from least likely to most likely:

The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black

6 0
3 years ago
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