Answer: -3
Step-by-step explanation:
If you find where the line crosses the y-axis, and count to the next official and visible vertex, you will get 3 up or down, over 1 left or right. It's called rise over run. And as the line is drawn from the left to right side, it's a negative line.
60% of total = 408 —> 408/.60 —> 680
Answer:
(- 2 ; 4) or (-5 ; 1)
Step-by-step explanation:
y = x + 6
y = x² + 8x + 16
x + 6 = x² + 8x + 16
x² + 8x + 16 - x - 6 = 0
x² + 7x + 10 = 0
x² + 5x + 2x + 10 = 0
x(x + 5) + 2(x + 5) = 0
(x + 2)(x + 5) = 0
x + 2 = 0 => x₁ = - 2
x + 5 = 0 => x₂ = - 5
y₁ = - 2 + 6 => y₁ = 4
y₂ = - 5 + 6 => y₂ = 1
4(y-3)=3(y+6)
1) Distribute
4y-12=3y+18
2) Addition property of equality
4y=3y+30
3)Subtraction property of equality
y=30
Thats your answer!
Enjoy middle school while you still can!
Your answer is C c:
First, split the angle into two angles where the values of the six trigonometric functions are known. In this case, 105, can be split into 45+60 (cos (45+60))
Use the sum formula for cosine to simplify the expression. The formula states that cos (A+B) = - (cos (A) cos (B) + sin (A) sin (B)).
The exact value of cos(60) is 1/2. So multiply 1/2 to cos (45) - sin (60) times sin (45).
The exact value of cos (45) is the square root of 2 over 2
(1/2) ⋅ (<span>√2/</span>2) - sin (60) <span>⋅ sin (45)
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Value of sin (60) is <span>√3/2
</span>(1/2) ⋅ (√2/2) - √3/2 ⋅ sin (45)
exact value of sin (45) is √2/2
(1/2) ⋅ (√2/2) - √3/2 ⋅ √2/2
all that equals √2/4 - √6/4