The magnitude of the resulting vector, u - v, is approximately 5.83
and its angle of direction is approximately 59.04°.
<h3>How to find the magnitude of the resulting vector?</h3>
We want to subtract vector v from vector u.
We are given;
v = <2, -3> = 2i - 3j
u = <5, 2> = 5i + 2j
u - v = 5i + 2j - (2i - 3j)
= 5i + 2j - 2i + 3j
= 3i + 5j
Resultant vector = √(3² + 5²)
Resultant vector = √34 ≈ 5.83
Angle of direction of resultant vector is;
tan θ = (5/3)
θ = tan⁻¹(5/3)
θ = 59.04°
Read more about Magnitude of Vector at; brainly.com/question/3184914
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Answer:
y = 
x
Step-by-step explanation:
The equation of a linear pattern has the form
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (1, ) and (x₂, y₂ ) = (2, 1) ← 2 ordered pairs from the table
m = 
= , thus
y = x + c ← is the partial equation
To find c use any ordered pair from the table and substitute into the partial equation.
Using (2, 1) , then
1 = 1 + c ⇒ c = 1 - 1 = 0
y = x + 0 ← equation for pattern or quite simply
y = x
Explanation:
Each equation asks for x . So let's solve it in a way so that at the end remains x = ,then the rest equation.
So first one,
1. a(x+b)=c
ax + ab = c
ax = c - ab
x = (c - ab ) / a
Now we can write that in two ways:
i. We already got the answer for the 2nd blank which is c - ab / a
ii. If we rearrange it so that there is a minus sign, it would be like: c/a - b
Try solving the rest 3 by your self to make sure you understood them. Then scroll down to match the answers.
2. 8(x + a) = b
8x + 8a = b
8x = b - 8a
x = (b-8a)/ 8
First blank for 2nd equation: x = b/8 - a
Second blank: x = b - 8a / 8
3. a(x - 9) = b
ax - 9a = b
ax = b + 9a
x = (b + 9a) / a
First blank for 3rd equation: x = b/a + 9
Second blank: x = b+9a / a
4. c(2 + x ) = 7
2c + cx = 7
cx = 7 - 2c
x = (7 - 2c) / c
First blank for 4th equation: x = 7/c - 2
Second blank: x = 7 - 2c / c
Do let me know if it's correct! <3
Step-by-step explanation:
Factor 3+6b+3b2
3b2+6b+3
=3(b+1)(b+1)
Answer:
3(b+1)(b+1)
It could b a or c depend on what grade you are in
