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3 years ago

the floor of storage units is 24 feet long and 7 feet wide. what is the distance between two opposite corners of the floor?

Mathematics

1 answer:

asambeis [7]3 years ago

8 0

you would us the pythagorean theorem to solve this. a^2 +b^2=c^2

a and b being the width and the length and c being the diagonal or hypotenuse.

7^2 + 24^2 =c^2

49 + 576 = C^2

625 = C^2 take the square root of both sides to get

C = 25 feet

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Step-by-step explanation:

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3 years ago

H(x)=-x^2+6x. So what is the value of h(2)

crimeas [40]

✩ Answer:

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✩ Step-by-step explanation:

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✺ Quadratic polynomials can be factored using the transformation $ax^2+bx+c=a(x-x_{1})(x-x_{2} )$ , where $x_{1}$ and $x_{2}$ are the solutions of the quadratic equation $ax^2+bx+c=0$ :

$-x^2+6x=0$

✺ All equations of the form $ax^2+bx+c=0$ can be solved using the quadratic formula:

$-b=\frac{+}\\\sqrt{b^2-4ac}\\~~~~~~~~~~~~~2a$

✺ The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction:

$x=\frac{\sqrt{-6\frac{+}\\\sqrt{6^2}}}{2(-1)}$

✺ Take the square root of $6^2$ :

$x=\frac{\sqrt{-6\frac{+}\\{6}}}{2(-1)}$

✺ Multiply $2$ times $-1$ :

$x=\frac{\sqrt{-6\frac{+}\\{6}}}{-2}$

✺ Now solve the equation $x=\frac{\sqrt{-6\frac{+}\\{6}}}{-2}$ when ± is plus. Add $-6$ to $6$ :

$x=\frac{0}{-2}$

✺ Divide $0$ by $-2$ :

$x=0$

-OR-

✺ Now solve the equation $x=\frac{\sqrt{-6\frac{+}\\{6}}}{-2}$ when ± is minus. Subtract $6$ from $-6$ :

$x=\frac{-12}{-2}$

✺ Divide $-12$ by $-2$ :

$x=6$

✺ Optional : Factor the original expression using $ax^2+bx+c=a(x-x_{1})(x-x_{2} )$ . Substitute $0$ for $x_{1}$ and $6$ for $x_{2}$ :

$-x^2+6x=-x(x-6)$

✩ Answer:

✺ Factored Form: $x(x-6)$

✺ Exact Form: $x=6$

✺ Graph Point Form: $x=(6,0)$

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3 years ago

Evaluate this problem

sammy [17]

-5x-2y=2....(1)
6x-2y=24.....(2)
multiply (2) by -1,
-6x+2y=-24....(3)
add (1)+(3)
-5x-2y-6x+2y=2-24
-11x=-22
-11x/11=-22/11
x=2
plugging in the value of x in (1)
-5(2)-2y=2
-10-2y=2
addind 10 to both sides
-2y=12
deviding both sides by -2
y=-6
so (x,y)=(2,-6)

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4 years ago

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