Answer:
Step-by-step explanation:
To put the equation into vertex form, we need to complete the square
This is in the form
So, the vertex is (2, -5)
and 
Take the vector u = <ux, uy> = <4, 3>.
Find the magnitude of u:
||u|| = sqrt[ (ux)^2 + (uy)^2]
||u|| = sqrt[ 4^2 + 3^2 ]
||u|| = sqrt[ 16 + 9 ]
||u|| = sqrt[ 25 ]
||u|| = 5
To find the unit vector in the direction of u, and also with the same sign, just divide each coordinate of u by ||u||. So the vector you are looking for is
u/||u||
u * (1/||u||)
= <4, 3> * (1/5)
= <4/5, 3/5>
and there it is.
Writing it in component form:
= (4/5) * i + (3/5) * j
I hope this helps. =)
In y = mx + b form, the slope can be found in the m position and the y intercept can be found in the b position.
y = mx + b
y = 2x + 15
slope(m) = 2 and y int (b) = 15
The initial amount is the y intercept, which is 15. The rate of change (the slope) is 2
example :
baskets picked in 1 hr :
y = 2(1) + 15
y = 2 + 15
y = 17
baskets picked in 2 hrs :
y = 2(2) + 15
y = 4 + 15
y = 19
so the slope ( rate of change) is basically saying for every hr of picking, you pick 2 baskets...so your picking 2 baskets per hr.
The y intercept (15) is telling us that they already had 15 baskets to start with.
Volumen carton= 64000 inches³
Volume of a candy box= 6 inx 5 inx 1/2
Volume of a candy box=15 inches³
Then, you have that the total candy boxes in the carton is:
x=640000 inches³/15 inches³
x=4267 candy boxes
About how many candy boxes are in the carton? There are 4267 candy boxes
Answer:
w+2,312=2,490
w= 178 pounds
Step-by-step explanation:
Let
W—-^ the amount of weight Bernard lost in pounds
We know that
The amount of weight Bernard lost plus the weight of this week must be equal to the weight of the last week
So…
The linear equation that represents this situation is
w=2,312=2,490
solve for w
Subtract 2,490 - 2,312 = 178lbs
If you found this helpful please let me know! I’m always striving to improve my answers! Have a wonderful day!
