Answer:
Step-by-step explanation:
(-2,1)=(x1,y1)
(4,5)=(x2,y2)
d=?
d=
X intercept= (25,0)
y intercept= (0,-20)
Recall that the direction of a vector can be seen from its slope, namely b/a.
let's take a peek at a couple of vectors, and multiply them by a scalar of 2.
hmmm say < 3 , 7 > , it has a slope of 7/3, now if we use a scalar of 2
2<3,7> => < 6 , 14 >, now, the slope of that is 14/6 which simplifies to, yeap, you guessed it, to 7/3, no change in the slope.
and say hmmmm < 11 , -2 >, slope of -2/11, let's multiply it by 2
2<11,-2> => <22 , -4 >, slope is -4/22 which simplifies to -2/11.
so, the vector's magnitude gets blown up, but the slope remains the same.
2m = m + 5 / 4
8m = m + 5
7m = 5
m = 5 / 7
Answer:
117
Step-by-step explanation:
Let d represent the number of stamps Derek had at first. After he gave 1/9 of his stamps to Ahmad, Ahmad had (d -104) +(d/9). Derek had 4 times this number after giving away d/9 stamps:
(d -d/9) = 4((d -104) +d/9)
(8/9)d = 4d -416 +(4/9)d
416 = (32/9)d . . . . add 416 -8/9d
117 = d . . . . . . . . . . multiply by 9/32
Derek had 117 stamps at first.
_____
<em>Check</em>
1/9 of Derek's collection is 13 stamps. 104 less than Derek's collection is 13 stamps.
So, Ahmad started with 13 stamps and was given 13 stamps by Derek. Meanwhile, Derek started with 117 stamps and gave away 13, so ended with 104 stamps. That number (104) is 4 times Ahmad's new number (26), as it should be.
