Answer:
10/4 in simplest form 5/2
Step-by-step explanation:
Since 2 goes into 10 and 5 you divide 2 by those two numbers which gives you 5/2
Answer:
- The Expression will be defined if the denominator is not equal to 0 since any number divided by 0 is undefined.
- Therfore our main priority here is to check the denominator only because it's the only part that can make the expression undefined
- the expression will be defined for all real numbers (a) BUT 3+a must not equal to 0 therfore (a) can be all real numbers but must never be equal to -3
Step-by-step explanation:
- HOPE THIS HELPS!
Step-by-step explanation:
Given:
- when s = 12 mph t =0.18 let (s,t) or (a,b) = (12,0.18)
- when s = 22 mph t = 0.23 s (s,t) or (a,b) =(22,0.23)
- when s = 30 mph t = 0.15 s (s,t) or (a,b) =(30,0.15)
<u>we know the general format of Quadratic equation to be </u>
<u>= </u><u>ax²+bx+c=0</u>
<u></u>
<u>Step 1</u> :
when the birds pass through a,b (12,0.18) we cane give the expression as
= ax²+bx+c=0
= 12x² + 0.18x + c= 0
it can also be written as
<u>s = ut + 1/2 at²</u> = 0.18t +( 1/2) a(0.18)²
<u></u>
<u>step 2 :</u>
through points (22,0.23)
= 22x² + 0.23x + c = 0
<u>s = ut + 1/2 at²</u> = 0.23t + (1/2) a(0.23)²
<u>Step 3 :</u>
through points (30,0.15)
= 30x² + 0.15x + c = 0
<u>s = ut + 1/2 at²</u>
= 0.15 u +(1/2) a(0.15)²
9514 1404 393
Answer:
6x^2 +64x yd²
Step-by-step explanation:
The total horizontal width is ...
w = (x -2) +(3x) = 4x -2 . . . yards
So, the width of the downward-extending leg at right is ...
(4x -2) -(2x -2) = 2x
The total vertical height is ...
10 yds + 40 yds = 50 yds
So, the height of the downward-extending leg at right is ...
50 -3x . . . yards
__
Then the empty rectangle at upper right has an area of ...
A = LW = (3x yds)(10 yds) = 30x yd²
and the empty rectangle at lower left has an area of ...
A = LW = (2x -2 yds)(50 -3x yds) = -6x^2 +106x -100 yd²
__
The total area is the product of overall width and overall height, less the areas of the two empty rectangles:
A = (4x -2 yds)(50 yds) -30x yd² -(-6x^2 +106x -100) yd²
A = 6x^2 +64x yd² . . . . . area of the proposed parking lot
