Answer:
y = 3/2x
Step-by-step explanation:
Now, second limit first.
If 2 lines are parallel, they have the same slope. That narrows it down to the last 2 options.
(2,3) means y must be 3 when x is 2. Let's try number 3.
3/2 * x
3/2 * 2
3
It fits!
Answer: x = 6
==============================================
Explanation:
The medians of a triangle meet up at the centroid in such a way that they cut each other at a ratio of 2:1, meaning that one part of the median is twice as long as the other. In this case, MO is two times longer than OP, so,
OP = 2*MO
and
MP = MO + OP
MP = MO + 2*MO .... replace OP with 2*MO
MP = 3*MO
9x-24 = 3*(x+4) ... plug in the given expressions
9x-24 = 3x+12
9x-3x = 12+24
6x = 36
x = 36/6
x = 6
Answer:
40 in 1 hour
320 in 8 hours
Step-by-step explanation:
Answer:
350
Step-by-step explanation:
Introduction. Percent, p%
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100
120% = 120/100 = 120 ÷ 100 = 1.2
100% = 100/100 = 100 ÷ 100 = 1
Percentage of 120% of what number = 420?
120% × ? = 420
? =
420 ÷ 120% =
420 ÷ (120 ÷ 100) =
(100 × 420) ÷ 120 =
42,000 ÷ 120 =
350
<h2>Proof</h2><h3>How do we check the result?</h3>
If 120% × 350 = 420 =>
Divide 420 by 350...
... And see if we get as a result: 120%
<h3>Note:</h3>
Multiply a number by the fraction 100/100,
... and its value doesn't change.
100/100 = 100 ÷ 100 = 1
n/100 = n%, any number.
<h2>Hope it is helpful....</h2>
Let P = (2,-3,8) and Q =(4,4,7)
The parametric equation of a line is given by
(x,y,z) = t*(xv,yv,zv) + (x0,y0,z0) where
(xv,yv,zv) is the direction vector PQ which is Q-P => PQ = (4-2, 4-(-3),7-8 ) = (2,7,-1)
And (x0,y0,z0) is any point in the line (for example Q)
So, (x,y,z) = (2t +4 , 7t +4, -t+7)
