<h3>
Answer:</h3>
see below
<h3>
Step-by-step explanation:</h3>
Here, we'll use an ordered pair <a, b> to represent each vector's two components. The rules are ...
- multiplying a vector by a scalar multiplies each component by that scalar
- multiplying a vector by a scalar multiplies its magnitude by the magnitude of the scalar
- the magnitude of a vector is the square root of the sum of the squares of its components
<h2>1.</h2>
For A = <2.5, -3.5>, |A| = √(2.5²+(-3.5)²) = √18.5 ≈ 4.30
- 2A = <5, -7>; |2A| = 8.60
- -2A = <-5, 7>; |-2A| = 8.60
- A/2 = <1.25, -1.75>; |A/2| = 2.15
_____
<h2>2.</h2>
A = |A|<cos(43.9°), sin(43.9°)>
B = |B|<cos(154.8°), sin(154.8°)>
C = <0, -25.8>
The sum being zero gives rise to 2 equations in 2 unknowns.
|A|cos(43.9°) +|B|cos(154.8°) = 0
|A|sin(43.9°) +|B|sin(154.8°) = 25.8
Using Cramer's rule to find the solution, we get ...
|A| = 25.8cos(154.8°)/(cos(154.8°)sin(43.9°) -sin(154.8°)cos(43.9°))
|A| = 25.8cos(154.8°)/sin(43.9° -154.8°)
|A| ≈ 24.9887
|B| = -25.8cos(43.9°)/sin(-110.9°)
|B| ≈ 19.8995
Answer:
The choices you have selected are correct.
Step-by-step explanation:
2 to the power of 3 is just 2x2x2 which is also equal to 8.
If this answer has helped you, please mark this as brainliest
The answer is D. 1.4=140% She needs the necessary amount + 40% .
Domain is x>1 or x<1 vertical asy y=1
Step-by-step explanation:
Direction: Opens Up
Vertex:
(
3
,
−
3
)
(3,-3)
Focus:
(
3
,
−
11
4
)
(3,-114)
Axis of Symmetry:
x
=
3
x=3
Directrix:
y
=
−
13
4
y=-134
Select a few
x
x values, and plug them into the equation to find the corresponding
y
y values. The
x
x values should be selected around the vertex.
Tap for more steps...
x
y
1
1
2
−
2
3
−
3
4
−
2
5
1
xy112-23-34-251
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
3
,
−
3
)
(3,-3)
Focus:
(
3
,
−
11
4
)
(3,-114)
Axis of Symmetry:
x
=
3
x=3
Directrix:
y
=
−
13
4
y=-134
x
y
1
1
2
−
2
3
−
3
4
−
2
5
1
