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DerKrebs [107]
3 years ago
11

Find the area of the largest rectangle with lower base on the x axis and upper vertices on the parabola y=12-x^2

Mathematics
1 answer:
dalvyx [7]3 years ago
7 0
<span> Draw a picture of the downward-facing </span>parabola<span>, and of a </span>rectangle<span> of the type described. Let (</span>x,y<span>) be the </span>upper<span> right-hand corner of the </span>rectangle<span>. Then by symmetry, the </span>base of the rectangle<span> has length </span>2x<span>, and the height is </span>y<span>, that is, </span>12−x2<span>. So the </span>area<span> A(</span>x<span>) of the </span>rectangle<span> is given by A(</span>x)=2x(12−x2<span>).</span>
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Based on the scale drawing, what is the length, in feet, of the actual parking lot? On the drawing they have the width 12.8 cm a
aleksandrvk [35]

Answer:

The width of 48 feet is represented by 12.8cm; the length represented by 1cm is 48/12.8 = 15/4 = 3.75 feet.

The length on the drawing is 3.2cm, which is exactly 1/4 of the width of 12.8cm; therefore the length of the actual parking lot is 48/4 = 12 feet.

5 0
3 years ago
Triangle ABC has angle measures as shown.
sladkih [1.3K]
As with any triangle, the sum of angles is 180°.

(a)
(x -5) +(3x +30) +35 = 180 . . . . . sum of angles is 180
4x +60 = 180 . . . . . . . . . . . . . . . . collect terms
4x = 120 . . . . . . . . . . . . . . . . . . . . subtract 60
x = 30 . . . . . . . . . . . . . . . . . . . . . . divide by 4


(b)
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3 years ago
How many degrees has ABC been rotated counter-clockwise about the origin
natali 33 [55]
I feel like it’s 180 dregrees, good luck!
3 0
3 years ago
Read 2 more answers
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vampirchik [111]
There are 12.78 yards . so the answer could be 13 yards. 
procedure : 1st you multiply the number 4.26 times the other number which is 3. 
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3 years ago
Please help !!!!!!!!!!!!!​
arlik [135]

Answer:

Step-by-step explanation:

7 0
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