For this case we have the following points:
y = (- 2, 5)
z = (1, 3)
Therefore, the vector yz is given by:
yz = z - y = (1, 3) - (-2, 5)
yz = ((1 - (- 2)), (3-5))
yz = ((1 + 2), -2)
yz = (3, -2)
Then, the magnitude is given by:
lyzl = root ((3) ^ 2 + (-2) ^ 2)
lyzl = root (9 + 4)
lyzl = root (13)
Answer:
yz = (3, -2)
lyzl = root (13)
option A

5 0

3 years ago

A 3 gallon jug of water cost $11.04. what’s the price per cup?

fiasKO [112]

Answer: one gallon jug of water cost’s $3.68

7 0

2 years ago

Find the 15th term in the following arithmetic sequence : 1, 6, 11, 16,

Sunny_sXe [5.5K]

Answer:

Step-by-step explanation:

This arithmetic sequence starts at 1 and increases by 5 every time. The formula for this sequence could be expressed as A(n) = 1 + 5(n-1).

Since you're finding the 15th term, substitute n = 15 into the formula.

A(15) = 1 + 5((15)-1) = 1 + 5(14) = 1 + 70 = 71

6 0

3 years ago

Read 2 more answers

The function g(x) represents f(x)=9 cos (x-pi/2)+3 after translating pi/6 units left and 4 units up. which equation represents g

shtirl [24]

Answer:

g(x)= 9 cos (x - $\frac{\pi}{3}$ ) +7

Step-by-step explanation:

What is given is f(x) = g cos (x - pi/2) + 3

Note that the standard form of cosine function is a cos (bx + c) + d

a= amplitude

-c/b = phase shift

d = vertical shift

After moving pi/6 to the left --

x = pi/2 - pi/6 = pi/3

once moving pi/6 left, it is at pi/3

moving 4 units up just means adding 4 + 3, and that equals 7, that would be the vertical shift once applied.

So the equation that represents g(x) is C. 9 cos (x - pi/3) + 7

6 0

3 years ago