Answer:
Arlo drove 130 miles
Step-by-step explanation:
Set up an equation:
39.99+.35x=85.49
.35x=45.5
x=130 miles
The sum of a number and 6.
Or
The sum of n and 6
Answer:
A(max) = (9/2)*L² ft²
Dimensions:
x = 3*L feet
y = (3/2)*L ft
Step-by-step explanation:
Let call "x" and " y " sides of the rectangle. The side x is parallel to the wall of the house then
Area of the rectangle is
A(r) = x*y
And total length of fence available is 6*L f , and we will use the wall as one x side then, perimeter of the rectangle which is 2x + 2y becomes x + 2*y
Then
6*L = x + 2* y ⇒ y = ( 6*L - x ) /2
And the area as function of x is
A(x) = x* ( 6*L - x )/2
A(x) = ( 6*L*x - x² ) /2
Taking derivatives on both sides of the equation we get:
A´(x) = 1/2 ( 6*L - 2*x )
A´(x) = 0 ⇒ 1/2( 6*L - 2*x ) = 0
6*L - 2*x = 0
-2*x = - 6*L
x = 3*L feet
And
y = ( 6*L - x ) /2 ⇒ y = ( 6*L - 3*L )/ 2
y = ( 3/2)*L feet
And area maximum is:
A(max) = 3*L * 3/2*L
A(max) = (9/2)*L² f²
No clue there has to be a graph paper for the answer
Answer:
<AXC = 101 degrees.
Step-by-step explanation:
The question says that XB is a bisector which means that <AXB = 1/2 of AXC
You can't do the question if that assumption isn't true.
<AXC = 8x - 7
<AXB = 3x + 10
3x + 10 = 1/2 ( 8x - 7) Multiply both sides by 2
2(3x + 10) = 8x - 7 Remove the brackets
6x + 20 = 8x - 7 Add 7 to both sides
6x + 20 + 7 = 8x Combine
6x + 27 = 8x Subtract 6x from both sides
27 = 8x - 6x Combine
27 = 2x Switch
2x = 27 Divide by 2
x = 27/2
x = 13.5
AXC = 8x - 7
AXC = 8*13.5 - 7
AXC = 108 -7
AXC = 101
