Check the picture. There are 2 interior common tangents, and 2 exterior common tangents which can be drawn.
Answer: 4
Digit 3 on the 10 side has a value of 3 tens or 30. We want to find the digit that has exactly 10 times that value. well, 10 × 30 = 300. So which digit has the value of 300? The other 3 is in the 100's place and it's value is 3 one hundreds or 300. So that is your digit... the 3 in the hundreds place.
Find what f(x) is when x = -2
3(-2) - 1 = -7
Find g(x) when x = 5
-(5) + 6 = 1
Add -7 + 1
-7 + 1 = -6
Option A)
Answer:
Rectangular area as a function of x : A(x) = 200*x + 2*x²
A(max) = 5000 m²
Dimensions:
x = 50 m
l = 100 m
Step-by-step explanation:
"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:
A(r) = x* l and the perimeter of the rectangular shape is
P = 2*x + 2*l but we won´t use any fencing material along the wll of the barn therefore
P = 2*x + l ⇒ 200 = 2*x + l ⇒ l = 200 - 2*x (1)
And the rectangular area as a function of x is:
A(x) = x * ( 200 - 2*x) ⇒ A(x) = 200*x + 2*x²
Taking derivatives on both sides of the equation we get:
A´(x) = 200 - 4*x ⇒ A´= 0
Then 200 - 4*x = 0 ⇒ 4*x = 200 ⇒ x = 50 m
We find the l value, plugging the value of x in equation (1)
l = 200 - 2*x ⇒ l = 200 - 2*50 ⇒ l = 100 m
A(max) = 100*50
A(max) = 5000 m²
Answer:
x=0
Step-by-step explanation:
2(x+4)- 5 = 3x+3
Distribute
2x+8-5 = 3x+3
Subtract x values
8-5 = x+3
3 = x+3
Final Subtraction
x = 0
