Answer:
48
Step-by-step explanation:
u • w
= (i + 6j ) • (9i - 2j )
= (1 × 9 ) + (6 × - 2 )
= 9 + (- 12)
= 9 - 12
= - 3
v • w
= (5i - 3j ) • (9i - 2j )
= (5 × 9) + (- 3 × - 2)
= 45 + 6
= 51
Then
u • w + v • w
= - 3 + 51
= 48
Answer:
Below!
Step-by-step explanation:
Using Pythagoras theorem, I will solve all of the problems.
<h3>________________________________________________</h3>
<u>Question 9:</u>
- 10² = 6² + x²
- => 100 = 36 + x²
- => 100 - 36 = x²
- => 64 = x²
- => x = 8
<h3>________________________________________________</h3>
<u>Question 10:</u>
- 26² = 24² + x²
- => 676 = 576 + x²
- => 676 - 576 = x²
- => 100 = x²
- => x = 10
<h3>________________________________________________</h3>
<u>Question 11:</u>
- 15² = 12² + x²
- => 225 = 144 + x²
- => 225 - 144 = x²
- => 81 = x²
- => x = 9
<h3>________________________________________________</h3>
<u>Question 12:</u>
- x² = 8² + 12²
- => x² = 64 + 144
- => x² = 208
- => x = √208
- => x = 14.2 (Rounded)
<h3>________________________________________________</h3>
<u>Question 13:</u>
- 7² = 2² + x²
- => 49 = 4 + x²
- => 49 - 4 = x²
- => 45 = x²
- => x = √45
- => x = 6.7 (Rounded)
<h3>________________________________________________</h3>
<u>Question 14</u>
First, let's solve for the variable x using Pythagoras theorem.
- => 5² = 3² + x²
- => 25 = 9 + x²
- => 16 = x²
- => x = 4 units
Now, let's solve for the variable y using Pythagoras theorem.
- (3 + 6)² = 5² + y²
- => (9)² = 25 + y²
- => 81 = 25 + y²
- => y² = 56
- => y = √56
- => y = 7.5 (Rounded) units
Answers (Nearest tenth):
<h3>________________________________________________</h3>
<u>Question 15:</u>
First, let's find the value of the variable y using Pythagoras theorem.
- 8² = 6² + y²
- => 64 = 36 + y²
- => 28 = y²
- => y = √28
- => y = 5.3 (Rounded) units
Now, let's find the value of the variable x using multiplication.
- x = 2y
- => x = 2(5.3)
- => x = 10.6 units
Answer (Nearest tenth)
- x = 10.6 units
- y = 5.3 units
<h3>________________________________________________</h3>
You need to isolate the variable <em>h</em>.
1) Subtract both sides by 2.
-4h + 2 = 18
-4h + 2 - 2 = 18 - 2
-4h = 16
2) Divide both sides by -4 (the coefficient).
(-4h) / -4 = 16 / -4
h = -4
Answer:
<u>Frequency = 1/period = 
</u>
Step-by-step explanation:
The frequency of the sinusoidal function = 1/period
Frequency is how many the function repeats itself per unit if time i.e: per "1"
For the given graph :
, Where: B = 2π/period
period = 2π/B , B = 1/4 = 0.25
∴ Period = 2π/0.25 = 8π
∴ Frequency = 1/period =
Answer:
123
Step-by-step explanation:
s=-2
-15s^2-9(-5+s)
=-15s^2+45-9s
=-15s^2-9s+45
=15(-2)^2-9×(-2)+45
=15×4+18+45
=60+18+45
=123
