Answer:
The measure of the angle between the vectors = Ф = 11.30°
Step-by-step explanation:
Given
Next, find the lengths of the vectors:
u = ⟨2, –3⟩
u = ⟨2, –3⟩
Finally, the angle is given by:
cos (Ф) = 5/√26
Ф = arc cos (cos (Ф)) = arc cos (5 √26) / (26)
Ф = 11.30°
Thus, the measure of the angle between the vectors = Ф = 11.30°
Answer:
Relation 1: Not a function
Relation 2: Not a function
Relation 3: Function
Relation 4: Not a function
Step-by-step explanation:
Recall: a relation can only be a function if and only if each domain value has only 1 range value mapped to it or related to it. This means that a domain value can only have exactly one range value for the relation to be qualified a function.
✔️Relation 1 is NOT A FUNCTION.
Rationale: Two of the domain values (star and sky) is having more than 1 range value assigned to each.
✔️Relation 2 is NOT A FUNCTION:
Rationale: domain value, 9, has several range values assigned to it.
✔️Relation 3 is A FUNCTION:
Rationale: each domain value do not have more than one range values assigned to it.
✔️Relation 4 IS NOT A FUNCTION:
Rationale: the domain value, 6, has two range values, m and d, assigned to it.
<span>1.) -(3d-2x)
= 2x - 3d
</span><span>2.)-3ab/5b
</span><span>= -3a/5
</span><span>3.)〖(3/8)〗^3
</span>= 3^3 / 8^3
= 27/512
<span>4.) 2[5^2÷(3^2-2^2)+7]
= </span><span> 2[25÷(9-4)+7]
= </span> 2[25÷(5)+7]
= 2[5+7]
= 2(12)
= 24
<span>5.) What is the value of x/y when x=9/4 and y=3/5?
9/4 / 3/5
= 9/4 x 5/3
= 15/4
= 3 3/4 or = 3.75
6)
</span><span>algebraic expression :
p = # of pounds
</span><span>0.85p + 12
if p = 7 lbs the
0.85 (7) + 12
= 5.95 + 12
= 17.95
answer
total cost = $17.95</span>
So you have 4x-3>1. add three to both sides to get 4x>4. divide both sides by 4 to get x >1, so x has to be greater than one.
It's 7.3
To find the ratio divide 14.04 by 5.2
Then check another one, divide 21.87 by 2.7 and 19.87 by 2.7 to get the other two sides.
