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LenKa [72]
3 years ago
8

If AB= 5 what is the exact length of BD in square ABCD ​

Mathematics
1 answer:
Afina-wow [57]3 years ago
5 0

Answer:

sqrt 50

Step-by-step explanation:

First of all this is a square so if AB = 5, then AD is also 5.

Let's get rid of the other triangle and only focus on triangle ABD.

Using Pythagorean theorem we are able to solve this problem.

The Pythagorean Theorem basically states that:

a^2 + b^2 = c^2

Where a and b are the legs and c is the hypotenuse, aka the thing that we are trying to solve for right now.

Substitute these numbers in: 5^2 + 5+2 = c^2

Solve: 50 = c^2

c= sqrt 50

^ and that is our answer!

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N² + 14 = 12n<br>how do I solve by quadratic formula ​
inysia [295]

Answer:

n = 6 + \sqrt{22}  or  n = 6 - \sqrt{22}

Step-by-step explanation:

We can solve this equation using the quadratic formula OR Completing the Square method.

n² + 14 = 12n

rearrange :  n² - 12n + 14  = 0  

here  a= 1 , b = -12,  c = 14

the quadratic formula says:   x =  - b/ (2a)  +  root(b^2 - 4ac) / (2a)

or  x =  - b/ (2a)  -  root(b^2 - 4ac) / (2a)

x =  - (-12)/ (2)  +  root((-12)^2 - 4*14) / (2)

x = 6  +  root (144 - 56) / 2

x = 6 + root(88)/2

x = 6 + root(4*22) / 2

x = 6 + 2*root(22)/2

x = 6 + root(22)  = 6 + \sqrt{22}

so   x =6 + \sqrt{22}   or  x = 6 - \sqrt{22}

In this case  x = n

n = 6 + \sqrt{22}  or  n = 6 - \sqrt{22}

3 0
3 years ago
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GrogVix [38]

Answer:

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Step-by-step explanation:


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3 years ago
Find the surface area of the rectangular prism<br><br> 2mi 2mi<br> 4mi
skad [1K]

Answer:

the SA is 40

Step-by-step explanation:

the formula for SA of a rectangular prism is 2(lw + lh + wh)

so it would be: 2(2x2+2x2+4x2)

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4 0
3 years ago
Please solve and show work
zheka24 [161]

Answer:

Step-by-step explanation:

9. f(g(-n))

g(-n) = -(n²+5) = -n²-5

f(g(-n)) = 2n+1 (-n²-5 )

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-2n³-10n-n²-5

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(n²+5)(2n-1)

10. (2x+2)(x³+3)

2x(x³+3)+2(x³+3)

2x⁴ + 2x³ +6x +6

2x³(x+1)+6(x+1)

(2x³+6)(x+1

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2 years ago
A pack of brownies cost $6.60 If the price per brownie stays the same, what would be
cupoosta [38]

Answer:

19.8

Step-by-step explanation:

3x6.6

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