The correct answer: −18y−40
Come now ! I'm sure you could unravel it if you look at it and think about it
for a minute or two.
What's an angle bisector ? It's a line that splits an angle exactly in half.
The two little angles on each side of it are EQUAL. Each of them is exactly
half of the big angle.
So in this drawing, (3/2 x - 6) is equal to (1/4 x + 4) .
Do you think you could find 'x' ?
3/2 x - 6 = 1/4 x + 4
Add 6 to each side of the equation: 3/2 x = 1/4 x + 10
Multiply each side by 4 : 6 x = x + 40
Subtract 'x' from each side: 5 x = 40
Divide each side by 5 : x = 8
Angle CBD is 1/4 x + 4 . That's 1/4 (8) + 4 = 2 + 4 = <u>6 degrees </u>
Answer:
Option D
Step-by-step explanation:
<h2>Distance between two points</h2>
The y-value of the two points is unchanged. So, the line is parralel to x-axis.
The distance will be the diffrence between the x-co ordinates.
3 times 0.78 = 2.34 dollars
5.00 - 2.34 = 2.66
So your change is $2.66
Answers:
- C) Factored form
- C) Standard form
- D) The y intercept is -8
- B) Two solutions: x = -5 or x = 5
- B) Apply square root to both sides
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Explanations:
- For problems 1 and 2, there's not much to say other than you'll just have to memorize those terms. Standard form is ax^2+bx+c in general. The exponents count down 2,1,0. Factored form is where we have two or more factors multiplying with each other. Think of something like 21 = 7*3 showing that 7 and 3 are factors of 21.
- For problem 3, the y intercept is the last value. It's the constant value. Plug in x = 0 and you'll get y = -8 as a result. The y intercept always occurs when x = 0.
- In problem 4, we apply the square root to both sides to get x = -5 or x = 5. The plus or minus is needed. This is because (-5)^2 = 25.
- In problem 5, we apply the square root to both sides to undo the squaring operation.
