Carlos is 6
let x be Carlo's age then
2x + 8 = 20 → (solve for x)
subtract 8 from both sides
2x = 20 - 8 = 12
divide both sides by 2
x = = 6
Carlos is 6 years old
c = Carlos
j = John
--------------------
2c + 8 = j
2c + 8 = 20
2c = 20 - 8
2c = 12
c = 12 : 2
c = 6
-------------------------
6*2+8=20
Which sign is the less sign and which one is the greater sign (can someone please tell me I really need help! and I never understand the signs!) is this greater or less < Is this less or greater > I need help now please!
Answer:
2.rational 3.integer 4.whole number
Step-by-step explanation:
The number 7 is all three of these.
The product of the slopes of perpendicular lines equals -1
Solution:
Need to determine product of slope of perpendicular lines.
Product of slopes of perpendicular lines is always equal to -1.
lets verify this.
let consider following two equation of perpendicular lines
2x – y = 1
x + 2y = 2
Now evaluate slope of each line by representing them in slop intercept form that is y = mx + c
Where coefficient of x represents slope m.
Representing first line in slope intercept form we get
y = 2x – 1
On comparing above equation with slope intercept form we can say that its slope is 2.
Similarly representing x + 2y = 2 equation in slope intercept form we get
On comparing above equation with slope intercept form we can say that its slope is
On multiplying slopes of two perpendicular lines we get,
Hence product of slope of perpendicular line is -1
If two non-vertical lines are perpendicular, then their slopes are opposite reciprocals giving you -1.
:) Hope this helps.
1/11^12
1/11^4
11^4
11^12