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Nataly_w [17]
3 years ago
11

How to find the base and altitude of a rectangle if its area is 70 and its perimeter is 34?

Mathematics
1 answer:
kicyunya [14]3 years ago
6 0

The area of a rectangle is base * altitude, and the perimeter is 2*base + 2*altitude,



base = 10cm and altitude = 7cm
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Which of the following is the equation of a line perpendicular to the line y = -10x + 1, passing through the point (5,7)?
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Line 1;
y=-10x+1
Gradient m= -10
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\frac{y-5}{x-7} = \frac{1}{10}
y-5=\frac{1}{10} {x-7}
y-5=\frac{1}{10} x- \frac{7}{10}
y=\frac{1}{10} x- \frac{43}{10}

6 0
3 years ago
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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"). 
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So, given the information in this very question/problem:
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slope = m = (-1/3) ; 
b = y-intercept = (10/3) ; 
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And we can write the equation of the line; in "slope-intercept form"; that is:
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  " y = mx + b " ;  as:
______________________________________________________

   " y = (-1/3)x + (10/3) " ;
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Now, the problem asks for the equation of this line; in "general form";  or "standard format";  which is:
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   "Ax + By + C = 0 " ; 
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So; given: 
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 " y = (-1/3)x + (10/3) " ;
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  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:
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   →   " x + 3y + 10 = 0 " ;  which is:  "Answer choice:  [B] ."
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Note that is equation is in the "standard format" ;
   →  " Ax + By + C = 0 " .
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6 0
3 years ago
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Answer:

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Answer:

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Step-by-step explanation:

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