Answer:
It was first used as “centi” by the French, who introduced the measurement when they created the metric system. When used as centi, it is defined as one-hundredth of a unit. Thus, a meter is 100 cm, or a centimeter is one-hundredth of a meter.
Step-by-step explanation:
Answer:
-16n - 41
Step-by-step explanation:
To simplify the equation, you need to get rid of the parentheses by multiplying the numbers outside the parentheses to the numbers inside. Then, you can combine the similar terms.
2(-n - 3) - 7(5 + 2n) <---- Original equation
-2n - 6 - 7(5 + 2n) <---- Expand first parentheses by mult.
-2n - 6 - 35 - 14n <---- Expand second parentheses by mult.
-16n - 6 - 35 <---- Combine terms with "n"
-16n - 41 <---- Combine whole numbers
Answer:
0.6
Step-by-step explanation:
To write 12/20 as a decimal you have to divide numerator by the denominator of the fraction. We divide now 12 by 20 what we write down as 12/20 and we get 0.6. And finally we have: 12/20 as a decimal equals 0.6.
Answer:
The only difference is: If you multiply or divide both sides of an equation by the same negative number, the equation remains the same, but If you multiply or divide both sides of an inequality by the same negative number, the inequality reverses. !!!!!
Step-by-step explanation:
Answer:
Part 1: k = 2
Part 2: y = (-1/3)x - 6
Step-by-step explanation:
Hello!
Recall that parallel lines have the same slope. Given (k+1)x-y-8=0 and (2k-1)x-y-3k=0, we'll solve each equation for its slope in terms of k and then equate the two slopes to determine the value of k.
We can immediately read off the slope of (2k-1)x-y-3k=0: It's the coefficient, 2k-1, of x. Similarly, the slope of the other line is k+1. Equating these quantities, we get:
2k - 1= k + 1. Then k = 2, and the slope of the parallel lines is 2(2)-1, or 3.
Part 2: A line perpendicular to these parallel lines has a slope of -1/3, which is the negative reciprocal of 3.
Let's look at L2, substitute 2 for k and find the equation of the line:
(2k-1)x-y-3k=0 => (2[2]-1)x-y-3[2]=0, or 3x - y - 6 = 0, or y = 3x - 6. Here, the y-intercept is -6.
Finally, let's write the equation of L3: It has the slope -1/3 and the y-intercept of -6:
y = (-1/3)x - 6
