Answer:
it will take Jerry 4 blocks to get home. 3 blocks West and 1 block South
Step-by-step explanation:
We use our vector notation to describe the problem. Since Jerry walks 3 blocks North, he moves in the direction 3j. He then walks 4 blocks East in the direction 4i. He walks 2 blocks South in the direction -2j and 1 block West in the direction -i.
So, his position vector r = 3j + 4i - 2j - i = 4i - i + 3j - 2j = 3i + j.
Now if we assume his home was at the origin, then his initial position r₀ = 0i + 0j
Since he is supposed to return home from his current position, his displacement is final position - initial position = r₀ - r = 0i + 0j -(3i + j) = 0i - 3i + 0i - i = -3i - j
Since -i means movement in the West direction, -3i means movement 3 blocks West.
Since -j means movement in the Southern direction, -j means movement 1 blocks South.
<u>So, it will take Jerry 1 + 3 blocks = 4 blocks to get home. 3 blocks West and 1 block South</u>
Hello! :)
Answer:
*The answer must have a POSITIVE sign!*
Step-by-step explanation:
Expand with distributive property: a(b+c)=ab+ac
4*5=20
6*4=24
20x-24
2*8=16
2*10=20
16x+20
20x-24=16x+20
First, you add by 24 both sides of an equation.
20x-24+24=16x+20+24
20x=16x+44
You subtract by 16x both sides of an equation.
20x-16x=16x+44-16x
4x=44
Then, you divide by 4 both sides of an equation.
4x/4=44/4
Divide by the numbers from left to right.
44/4=11
<u><em>X=11 is the final answer</em></u>
Hope this helps!
Have a nice day! :)
:D
-Charlie
Thanks!
X=4
sub
-3(4)+9y=-57
-12+9y=-57
add 12 both sides
9y=-45
divide 9
y=-5
(4,-5)
y=5
Answer:
The goal is $19,800.
Step-by-step explanation:
$16,770 is $1,230 less than %90 of the goal. If you add 16,770 and 1,230, you get 18,000. Then you have to multiply that by 1.10 to get it to the goal. That is how you get $19,800, which is the answer.