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Zigmanuir [339]
3 years ago
5

Find the missing side of the right triangle and the ratios listed for the angle A

Mathematics
1 answer:
Setler79 [48]3 years ago
6 0
I multiplied by root of 65 to rationalize, you can leave answer as 7/root of 65

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The slope of a line is -1/3, and the y-intercept is 10/3. What is the equation of the line written in general form?
Y_Kistochka [10]
The answer is:  [B]:  " x  + 3y + 10 = 0 " .
______________________________________________________
Explanation:
______________________________________________________
Note the equation for a line; in 'slope-intercept form':  "y = mx + b" ;
 
   in which "y" is isolated alone, as a single variable, on the left-hand side of the equation;
                "m" = the slope of the line; and is the co-efficient of "x" ;
                                  b = the "y-intercept"; (or the "y-coordinate of the point of                                                                          the "y-intercept"). 
______________________________________________________
So, given the information in this very question/problem:
______________________________________________________
slope = m = (-1/3) ; 
b = y-intercept = (10/3) ; 
______________________________________________________
And we can write the equation of the line; in "slope-intercept form"; that is:
______________________________________________________
  " y = mx + b " ;  as:
______________________________________________________

   " y = (-1/3)x + (10/3) " ;
______________________________________________________
Now, the problem asks for the equation of this line; in "general form";  or "standard format";  which is:
________________________________________
   "Ax + By + C = 0 " ; 
________________________________________
So; given: 
____________________________________
 " y = (-1/3)x + (10/3) " ;
____________________________________
  We can multiply the ENTIRE EQUATION (both sides) by "3" ; to get rid of the "fractions" ;

  →  3* { y = (-1/3)x + (10/3) } ;

  →  3y = -1x + 10 ; 

        ↔  -1x + 10 = 3y ; 

Subtract "(3y)" from each side of the equation:
____________________________________
            -1x + 10 − 3y = 3y − 3y ;

to get: 

-1x + 10 − 3y = 0 ; 

↔  -1x − 3y − 10 = 0 ;  

→ This is not one of the "3 (THREE) answer choices given" ;

→ So, multiply the ENTIRE EQUATION (both sides); by "-1" ; as follows:

     -1 * {-1x − 3y − 10 = 0} ; 

to get:
______________________________________________________
   →   " x + 3y + 10 = 0 " ;  which is:  "Answer choice:  [B] ."
______________________________________________________
Note that is equation is in the "standard format" ;
   →  " Ax + By + C = 0 " .
______________________________________________________
6 0
3 years ago
Read 2 more answers
What is 5/12 divided by 3/8
asambeis [7]

Answer:

1 1/9

Step-by-step explanation:

put the problem into the calculator and divide. so simple

5 0
3 years ago
Read 2 more answers
Which equation have the same value of X as 3/5 ( 30x -15) = 72 Select 3 options A. 18x - 15 = 72 B. 50x -25=72 C. 18x -9= 72 D.
alex41 [277]

x= 4.5

18x - 9 = 72 are the equations

Stay safe!! God bless!

<3

- Elisha

8 0
3 years ago
What is the volume of this figure?
umka2103 [35]

Answer:216

Step-by-step explanation:

5 0
2 years ago
What is the gradient of a line<br> perpendicular to a line with a gradient<br> of 5
ZanzabumX [31]

Answer:

-1/5

Step-by-step explanation:

When a line is perpendicular to another line, it's gradient will be a reciprocal.

To calculate the reciprocal of a number you have to flip the fraction the other way around.

So, in the case our current gradient is 5/1 (5/1 is the same as just 5) and we need to flip in over to get 1/5, which is our new gradient.

The final step is to make the number negative because the line is going down. This gives us the final answer of -1/5.

3 0
2 years ago
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