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IceJOKER [234]
3 years ago
15

If you have 140 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest a

rea you can enclose?
Mathematics
1 answer:
Ronch [10]3 years ago
8 0

 

the area of rectangular is  A= length x width<span>
 
  140 feet of fancing = ---------------------------------- (the above line)


        !-----------------------------------------!                                     
        !                                                   !
     x !   thelargest enclosed area      ! x
        !                                                   !
        !---------------------------------------- !
                          140 -(x+x)
<span>so the area is  A = (140-2x) (x)= 140x-2x²</span></span>

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Find the x intercepts of the parabola with vertex (-1,-16) and y intercept (0,-15)
Arlecino [84]
<span> first, write the equation of the parabola in the required form: </span>
<span>(y - k) = a·(x - h)² </span>

<span>Here, (h, k) is given as (-1, -16). </span>
<span>So you have: </span>
<span>(y + 16) = a · (x + 1)² </span>

<span>Unfortunately, a is not given. However, you do know one additional point on the parabola: (0, -15): </span>

<span>-15 + 16 = a· (0 + 1)² </span>
<span>.·. a = 1 </span>

<span>.·. the equation of the parabola in vertex form is </span>
<span>y + 16 = (x + 1)² </span>

<span>The x-intercepts are the values of x that make y = 0. So, let y = 0: </span>

<span>0 + 16 = (x + 1)² </span>
<span>16 = (x + 1)² </span>

<span>We are trying to solve for x, so take the square root of both sides - but be CAREFUL! </span>

<span>± 4 = x + 1 ...... remember both the positive and negative roots of 16...... </span>

<span>Solving for x: </span>
<span>x = -1 + 4, x = -1 - 4 </span>
<span>x = 3, x = -5. </span>

<span>Or, if you prefer, (3, 0), (-5, 0). </span>
8 0
4 years ago
PLEASE HELP (IM GIVING 100 POINTS)
Natasha2012 [34]

Answer:

A

Step-by-step explanation:

area of triangle = 1/2*base*height

small triangle = 1/2*4*3 = 6

Big triangle = 1/2*8*6= 24

24/6=4

the big triangle is 4 times the size of the big triangle. so the small triangle would be 1/4 the size. hence D1/4(xyz) answer is A

6 0
3 years ago
24. The cost to board a dog at a kennel varies
natita [175]

Answer:c=24n

Step-by-step explanation:

C~n

C=no

96=4k

Divide both sides by 4

96/4=4k/4

24=k

K=24

Our equation is c=24n

8 0
3 years ago
What attribute do a rectangle, parallelogram, rhombus, and square ALL have in common?
Vikki [24]

B

my answer has to be at least 20 letters.....

8 0
3 years ago
Ay help its easy pleaseeee.
pickupchik [31]

Answer:

425ft.

Step-by-step explanation:

Just add 395 and 30 together.

Hope this helps. Pls give brainliest!

5 0
3 years ago
Read 2 more answers
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