Answer:
There are 15 girls and 21 boys
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given:
First, we have that the line is parallel to RS.
This means that the line has the same slope as RS and the slope of RS is calculated as follows:
So, the line has a slope of
Next, we have that the line passes through .
The equation of the line is then calculated using the following formula
Open bracket
Make y the subject
Answer:
Infinitely many solutions.
Step-by-step explanation:
x+2y=-1
2x+4y=-2
-----------------
x=-1-2y
2(-1-2y)+4y=-2
-2-4y+4y=-2
-2+0=-2
-2=-2
infinitely many solutions
Courtney has 56. 3x+8 3(16)+8
Matthew has 16. X
X+3x+8=72
4x+8=72
Sub 8
4x= 64
Divide by 4
X=16
1/(sin(90 + θ)cos(360 - θ)) - tan²(-θ)
Note:
sin(90 + θ) = cosθ Cosine and Sine are complementary.
cos(360 - θ) = cosθ Cosine positive in 4th quadrant.
tan(-θ) = -tanθ Negative angle concept.
1/(sin(90 + θ)cos(360 - θ)) - tan²(-θ) = 1/(cosθcosθ) - (-tanθ)²
= 1/(cos²θ) - tan²θ
= (1/cosθ)² - tan²θ
Note: 1/cosθ = secθ
= (secθ)² - tan²θ
= sec²θ - tan²θ
= 1
Note that 1+ tan²θ = sec²θ is a Trigonometric identity.
That means: sec²θ - tan²θ = 1
Hope this explains it.
