Answer:
C
Step-by-step explanation:
Convert them all to the form y = mx + c
1)
4x + 3y = 15
3y = -4x + 15
y = -4/3 x + 5
2)
3x - 4y = -8
-4y = -3x - 8
4y = 3x + 8
y = 3/4x + 2
3)
y + 1 = 4/3(x - 6)
y + 1 = 4/3x - 8
y = 4/3x - 9
4)
y = 3/4x - 5
ANSWER:
d. x = 15, y= 15√3
EXPLANATION:
This is a special triangle, more specifically a 30-60-90 degree triangle. For sake of not confusing x and y, we will use z to use as our reference for solving this triangle. The side lengths for each angle are as follows:
• 60 degrees = z√3
- this is the value for your y answer
• 30 degrees = z
- this is the value for your x answer
• Hypotenuse = 2z
- this is what we already have
We solve for what we already have which is the Hypotenuse = 30:
2x = 30
x = 15
We now have our x value which is 15.
Now we just plug in that x value for every expression for every angle.
x = 15
y = 15√3
Sorry if I explained it too thoroughly but I’ll be glad to answer any questions or clarifications
It’s A I just took that trust me
Answer:
14,146 years
Step-by-step explanation:
The annual multiplier is (1 -0.0049%) = 0.999951. We want to find the number of times this needs to be multiplied to make the product 1/2.
0.5 = 0.999951^t
log(0.5) = t·log(0.999951)
log(0.5)/log(0.999951) = t ≈ 14,145.514
The half-life is about 14,146 years.
