point A (-1-1) point B(-2-1)
Answer:
x = 2
Step-by-step explanation:
Given that:
Your score = 5
We have to find scores of opposite team let it be x
According to given conditions:
Opponents score: (1/2)x+ 4 = 5
By simplifying:
subtract 4 from both sides:
(1/2)x + 4 -4 = 5-4
(1/2)x = 1
Multiply both sides by 2 we get
2*(1/2)x = 1*2
x = 2
Proof:
(1/2)x+ 4 = 5
Put x= 2
(1/2)*2 +4 =5
1 +4 =5
5=5
Hence proved
I hope it will help you!
Multiply the cordinates and thats youre answer
Answer:
Option D) 49π/4
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference of the circle is equal to
where
r is the radius
we have
substitute
step 2
Find the length of the given arc
we know that
The circumference of the circle subtends a central angle of 360 degrees
so
using proportion
Find out the length of the arc by a central angle of 315 degrees
Let
x ----> the length of the given arc
Simplify
Answer:
A(t) = 27.86 in²
Dimensions of the paper:
L = 3.73 in
w = 7.47 in
Step-by-step explanation:
The total area of a rectangular page A = ( x + 2)* (y + 4 ) x is the length and y the wide. x and y are the dimensions of the print area
The print area of the paper is A = 6 in² 6 = x*y y = 6/x
Then print area as a function of x is
A(x) = ( x + 2 ) * ( 6/x + 4 ) ⇒ A(x) = 6 + 4*x + 12/x + 8
Taking derivatives on both sides of the equation:
A´(x) = 4 - 12/x² A´(x) = 0 4 = 12 /x²
x² = 12/4 x =√3 x = 1.73 in and y = 6 / 1.73
y = 3.47 in
Then the dimensions of the paper are.
Length L = x + 2 = 3.73 in and w = 3.47 + 4 = 7.47 in
And the least amount of paper is
A(t) = 3.73* 7.47 = 27.86 in²
To find out if x = 1.73 is an x coordinate for a minimum we get the second derivative
A´´(x) = 24/x³ is always positive A´´(x) > 0 then we have a minimum for A at x = 1.73
