Answer:
Step-by-step explanation:
The two x intercepts are
x - 7 = 0
x = 7
x + 3= 0
x = - 3
The y intercept is just - 7 * 3 = - 21
To prove this more formally
f(x) = (x - 7)(x + 3)
f(x) = x^2 - 7x + 3x - 21
f(x) = x^2 - 4x - 21
Find the opposite of adding 15. So it would be subtracting 15. So subtract 15 on both sides. So it would have 2/3x on the left and then 2 on the other side. (2/3x=2) Now find the opposite of multiplying 2/3. It is dividing 23/3. So divide 23/3 on both sides. So multiply 2/3 times 1/2. It would equal 3. x = 3
Hope this helps. :-)
Answer:
The terminal point is (1, 0) ⇒ D
Step-by-step explanation:
In the unit circle, Ф is the angle between the terminal side and the positive part of the x-xis.
- The terminal point on the positive part of the x-axis is (1, 0),which means Ф = 0° or 360° and cosФ = 1, sinФ = 0
- The terminal point on the positive part of the y-axis is (0, 1),which means Ф = 90° and cosФ = 0, sinФ = 1
- The terminal point on the negative part of the x-axis is (-1, 0),which means Ф = 180° and cosФ = -1, sinФ = 0
- The terminal point on the negative part of the y-axis is (0, -1),which means Ф = 270° and cosФ = 0, sinФ = -1
In a unit circle
∵ Ф = 2π radians
∵ 2π radians = 360°
→ By using the 1st rule above
∴ The terminal point is (1, 0)
Answer:
We conclude that:
Step-by-step explanation:
Given the expression
<u>Let us solve for 'c'</u>
Least Common Multiplier of 2n, 3c: 6nc
Now multiply both sides by LCM = 6nc
Simplify
Subtract 10n from both sides
Simplify
Subtract 6nc from both sides
Simplify
Factor 12c - 6nc = 6c(2-n)
Divide both sides by 6(2-n); n≠2
simplify
Therefore, we conclude that:
Rather than trial and error, you can do this with an equation.
x + x+1 + x+2 = 267 =>
3x+3 = 267
x = 264/3 = 88
So the numbers are 88+89+90. 90 is the largest number.
