If two lines are perpendicular, the statement that must be true is : D. The product of their slopes is -1
Lets say that a line has a slope of 2, the line which perpendicular to that line would have a slope of -1/2
Which means, the product would be 2(-1/2) = -1
hope this helps
Answer:
Option A
Step-by-step explanation:
The complete question is shown in the attachment.
The sum of angles in a triangle is 180 degrees.
This implies that:
m<A+138=180
m<A=180-138=42
Now we use the sine rule to find AC=b
This implies that:
Answer:
C. (-1, 3)
Step-by-step explanation:
Label the 2 equations:
5y= 7x +22 -----(1)
x= -6y +17 -----(2)
Substitute (2) into (1):
5y= 7(-6y +17) +22
5y= -42y +119 +22 <em>(</em><em>Expand</em><em> </em><em>bracket</em><em>)</em>
5y= -42y +141 <em>(</em><em>Simplify</em><em>)</em>
42y +5y= 141 <em>(</em><em>+</em><em>42y</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
47y= 141
y= 141 ÷47 <em>(</em><em>÷</em><em>4</em><em>7</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
y= 3
Substitute y= 3 into (2):
x= -6(3) +17
x= -18 +17
x= -1
Thus, the solution is (-1, 3).
Only numbers possible would be five and zero
