Answer: x=-7
Step-by-step explanation: hope this help :)
Answer:
Step-by-step explanation:
If slope of two lines are equal, then they are parallel lines.
If product of the slope of two lines is (-1), then they are perpendicular lines.
C) y = x + 2
Slope m1 = 1
y = -x + 3
Slope m2 = -1
m1 * m2 = 1 * (-1) = -1
These are perpendicular lines.
D) y = 3x + 2
Slope = m1 = 3
y = 3x - 2
Slope = m2 = 3
Slopes are equal. So, they are parallel lines.
E)y= 3
This line is parallel to x -axis.
x = 4
This line is parallel to y-axis.
So, both lines are perpendicular to each other.
F) y = x + 8
slope m1 = 1
y = -x + 3
Slope = m2 = -1
M1 * m2 = 1 * (-1) = -1
So, These are perpendicular lines
Answer:
6 x £20 notes, 7 x £5 notes
Step-by-step explanation:
6 x £20 = £120
7 x £5 = £35
£130 + £35 = £155
Assume the first even integer is x.
The next even integer will be 2 digits after this digit. So the next even integer will be x+2.
The reciprocals of these two even integers can be written as

and

respectively.
The sum of their reciprocals is 7/24. So we can set up the equation as:

Taking LCM on left hand side:

Cross Multiplying the denominators:

Using the quadratic formula to solve the above equation:

Since, the value of x can only be an integer, we discard the fractional value and keep x=6
So the first even integer is 6 and the next even integer is 8. The sum of reciprocals of 6 and 8 is 7/24
Answer:
Yes it goes in a straight line
Step-by-step explanation: