Answer:
Step-by-step explanation:
Given
Straight Line, PS
Such that
Required
Find PS
From the attachment above, it can be seen that RS is a continuation of PS;
This implies that
Substitute and
Collect like terms
Hence, the length of PS is
Given parameters:
Equation of the line given 2x - 7y = 13
Coordinates of points = -3, 8
Unknown:
Equation of a line perpendicular = ?
Solution;
To find the equation of this line, simply find the negative inverse of the given line.
m =
2x - 7y = 13 , this is an equation of a straight line
let us write it in the form y = mx + c so as to derive the slope
y and x are coordinates
m is the slope
c is the y intercept
2x - 7y = 13;
-7y = -2x + 13
divide through by -7;
y = +
The slope of this line is ;
Now the slope of a line perpendicular to it will be ;
the equation of the line will be;
y =
Since the coordinate of this line is (-3,8) , let us find C;
y = 8 and x = -3;
8 = (-3) + C
multiply through by 2;
16 = 21 + 2C
16 - 21 = 2C
-5 = 2C
C =
Now the equation of the line is;
y =
If the two equations in parenthesizes were there own equations which ones would equal 1 and 6
(x-1) or x=1
(3x-1) or x=1/3
3(x-1) or 3x-3 or x=1
Do you understand?
Given the greatest common divisor and the least common multiple, the least possible value of mn is 896
<h3>How to determine the least possible value of mn?</h3>
The given parameters are:
M and N are positive integers
Greatest common divisor = 8
Least common multiple = 112
As a general rule;
The product of the greatest common divisor and the least common multiple of numbers represent the product of the numbers
This means that
mn = Greatest common divisor * Least common multiple
So, we have
mn = 8 * 112
Evaluate
mn = 896
Hence, the least possible value of mn is 896
Read more about least common multiple at
brainly.com/question/10749076
#SPJ1
Answer:
The value of x is 7 .
Step-by-step explanation:
By using the property of rhombus .
The diagonals of the rhombus intersect each other at 90° .
Thus
Apply angle sum property of a triangle .
∠(8x + 7) °+ ∠(3x + 6)° +∠ 90 ° = ∠180 °
Open the bracket
8x + 7 + 3x + 6 + 90 = 180
11x + 13 = 180 - 90
11x + 13 = 90
11x = 90 - 13
11x = 77
x = 7
Therefore the value of x is 7 .