A librarian is putting 87 books in boxes for
2 answers:
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Answer:
Option (d).
Step-by-step explanation:
Note: The base of log is missing in h(x).
Consider the given functions are
The function m(x) can be written as
...(1)
The translation is defined as
.... (2)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
Therefore, we have to translate each point of the graph of h(x) 3 units left to get the graph of m(x).
Hence, option (d) is correct.
Answer:
49°
Step-by-step explanation:
Given vectors:
a = [-8, 6]
B = [√7, 3]
θ = ?
To find the angle between the two vectors, we will be using the formula,
a.B = |a||B|cosθ
For simplicity, it is good to first calculate the dot product, and the magnitudes. Then we will substitute the values of the dot product, and the magnitudes of the vectors to solve for the angle.
Calculating the dot product
a.B = (-8, 6) . (√7, 3)
= (-8 × √7) + (6 × 3)
= -8√7 + 18
= 18 - 8√7
= 10√7
Calculating the magnitude the vectors
1. The magnitude of vector (-8, 6)
2. The magnitude of vector (√7, 3)
Calculating the angle between the vectors,
cosθ =
cosθ =
cosθ = 0.6614
θ = cos⁻¹0.6614
θ = 48.59°
θ = 49°
If you are saying that the hypotenuse is 10 cm the you have to solve the following equation using the Pythagorean theory.
4^2 + b^2 = 10^2
16 + b^2 = 100
16 - 16 + b^2 = 100 - 16
b^2 = 84
Find