Answer:
The equation will be "
".
Step-by-step explanation:
Given:
Points (12, 9) = (x, y)
⇒ 
then,

or,
⇒ 
then,

⇒ 

By using the point slope form.
The equation of tangent will be:
⇒ 



Answer:
48
Step-by-step explanation:
Signals during a multiplication of two numbers:
They have the same signal: The multiplication is positive.
They have different signals: The multiplication is negative.
3 times (-8) times (-2)
First 3*(-8):
Different signals, so negative. 3*8 = 24. So the answer is -24.
Then:
3*(-8)*(-2) = (-24)*(-2)
Same signal, so positive. 24*2 = 48. The answer is 48.
Answer:triangle BCD is similar to triangle ACE (side, angle C, side)
AC = 2 BC
therefore AE = 2 BD
therefore
4x+20 = 2 (3x+5) solve that
Step-by-step explanation:
Answer:
Step-by-step explanation:
If we draw this triangle with Q as the vertex angle (the one at the top of the triangle) then the 2 sides are congruent and this is an iosceles triangle. Because this is an isosceles triangle, then the 2 base angles, angle R and angle S are congruent. If Q measures 114 degrees, then angles R and S together have to add up to the difference between 180 and 114:
180 - 114 = 66
Divide that in half so R = S = 33 degrees each
Answer:
Conditional relative frequency = 0.67
Step-by-step explanation:
50% off Buy 1, get 1 free Total
Item 1 12 8 20
Item 2 20 10 30
Total 32 18 50
Condition relative frequency table:
50% off Buy 1, get 1 free Total
Item 1

Item 2

Total

Therefore, conditional relative frequency of selling an item marked 50% off, provided the item sold is item 2 = 0.67