Answer:
Check pdf
Step-by-step explanation:
Quadratic formula is x = -b+ or- sq rt b^2-4ac / 2a
a=2 b=5 c=-3
-5 +or- sqrt 5^2-4(2)(-3) / 2(2)
-5 +or- sqrt 49/ 4
-5 + 7 /4 = 2/4 = 1/2
-5 - 7 /4 = -12/4 = -3
Factoring a*c is 2*-3 =-6
Factors of -6 that add to 5 are 6 and -1
Split 5x into +6x-1x
2x^2+6x-1x-3 and group
2x(x+3)-1(x+3)
(x+3)(2x-1)=0
x+3=0 gives x=-3
2x-1=0 gives x=1/2
Answer:
<u>1728 in²</u>
Step-by-step explanation:
For the area of B, you need to find the length and width (height and base, whatever you want to call it).
For the height, you would need to do: 144 - 36 - 24 - 36 = <u>48 inches</u>
For the base, you would need to do: 60 - 24 = <u>36 inches</u>
Now you multiply the base and height to get the area: 48 x 36 = <u>1728 in²</u>
<h2>
Answer:</h2>
please see analysis
<h2>
Step-by-step explanation:</h2>
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<em>I hope this helps you:)</em>
Answer:
The length of the diagonal support is 69 feet.
Step-by-step explanation:
Dimensions of the box: length = 6 feet
width = 5 feet
height = 8 feet
The diagonal support relates with the diagonal of the base and the height.
From the base of the box, let the length of its diagonal be represented by x. Applying Pythagoras theorem;
=
+ 
=
+ 
= 36 + 25
= 61
x = 
= 7.81
let the length of the diagonal support be represented by l. So that;
=
+ 
=
+ 
=
+ 64
l = 
= 61 + 8
= 69
Thus, the length of the diagonal support is 69 feet.