<h3>
Therefore they are perpendicular.</h3>
Step-by-step explanation:
A equation of line is
y =mx +c
Here the slope of the line is m.
Given equations are
x - 2y = 18
⇔-2y = -x +18
............(1)
and 2x + y = 6
⇔y = -2x +6 ............(2)
Therefore the slope of equation (1) is
= 
Therefore the slope of equation (2) is
= -2
If two lines are perpendicular, when we multiply their slope we get -1.
therefore,
=. (-2) = -1
Therefore they are perpendicular.
Answer:
x = -10
Step-by-step explanation:
6 • (x - 2) - (8x + 8) = 0
Pulling out like terms :
3.1 Pull out like factors :
-2x - 20 = -2 • (x + 10)
Equation at the end of step 3 :
-2 • (x + 10) = 0
Equations which are never true :
4.1 Solve : -2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
4.2 Solve : x+10 = 0
Subtract 10 from both sides of the equation :
x = -10
One solution was found :
x = -10
Processing ends successfully
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Answer:
They are consecutive terms in the Fibonacci Sequence.
Step-by-step explanation:
The sequence goes 1,1,2,3,5,8,13,21,...
Since 13 and 21 are consecutive here, that is the answer.
The isosceles triangle is missing so i have attached it.
Answer:
Length of unknown side = 5p + 6
Step-by-step explanation:
In isosceles triangle, two of the sides are equal. In the attached triangle, we see that one of the equal sides is given as 5p + 3.
Thus,the second equal side is also 5p + 3.
Now, perimeter of a triangle is the sum of the three sides.
We have two sides and let the third side be denoted as x.
Thus;
Perimeter = (5p + 3) + (5p + 3) + x
We are given perimeter = 15p + 12
Thus;
(5p + 3) + (5p + 3) + x = 15p + 12
10p + 6 + x = 15p + 12
Rearranging, we have;
x = 15p - 10p + 12 - 6
x = 5p + 6
