Answer:
k = 11/3
Step-by-step explanation:
If the line is tangent to the curve, then Δ = 0.
______________
Remembering:
Δ>0 two different points of intersection x' 
x''
Δ=0 one point of intersection x' = x''
Δ<0 two different points of intersection in the complex plan x' and -x'
______________
As the line and the curve have one point of intersection, which is (x, y), we can make a equality between them:
2x + k = 3x² + 4
0 = 3x² - 2x + (4 - k)
Now we can use the Δ=0 (Δ= b² - 4ac)
Δ = 0 = (-2)² - 4.3.(4-k)
0 = 4 - 48 + 12k
12k = 44
k = 44/12 = 2 . 22 /3. 2.2 = 22/3.2 = 11/3
k = 11/3
Look for a common number in all the terms
6(2a+3b-c)
Answer:
There are 342 different combinations.
Step-by-step explanation:
Ok, Aileen is choosing toppings for a pizza.
She can choose two.
There are 19 options that can be chosen once.
The first thing we need to do, is find all the "selections".
Here we have two selections:
Topping number 1
Topping number 2.
Now we need to find the number of options for each one of these selections:
Topping number 1: Here we have 19 options.
Topping number 2: Here we have 18 options (because one was already taken in the previous selection)
The total number of combinations is equal to the product between the numbers of options.
C = 19*18 = 342
There are 342 different combinations.
Answer:
<h3>y = - 1/2x - 1/2</h3>
Step-by-step explanation:
Equation of line is y = mx + c
where m is the slope
c is the y intercept
Slope of the line using points
(1, -1) and (-3, 1) is
Equation of the line using point
( 1 , - 1) and slope - 1/2 is
Hope this helps you.
