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3 years ago

Sam created a porch that was part wooden and part concrete, as shown in the figure below.

Mathematics

1 answer:

KonstantinChe [14]3 years ago

4 0

Im pretty sure its a

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Diego is solving the equation x^2-12x = 21

uysha [10]

Answer:

The solutions to the quadratic equations will be:

$x=\sqrt{57}+6,\:x=-\sqrt{57}+6$

Step-by-step explanation:

Given the expression

$x^2-12x\:=\:21$

Let us solve the equation by completing the square

$x^2-12x\:=\:21$

Add (-6)² to both sides

$x^2-12x+\left(-6\right)^2=21+\left(-6\right)^2$

simplify

$x^2-12x+\left(-6\right)^2=57$

Apply perfect square formula: (a-b)² = a²-2ab+b²

i.e.

$x^2-12x+\left(-6\right)^2=\left(x-6\right)^2$

so the expression becomes

$\left(x-6\right)^2=57$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solve

$x-6=\sqrt{57}$

add 6 to both sides

$x-6+6=\sqrt{57}+6$

Simplify

$x=\sqrt{57}+6$

also solving

$x-6=-\sqrt{57}$

add 6 to both sides

$x-6+6=-\sqrt{57}+6$

Simplify

$x=-\sqrt{57}+6$

Therefore, the solutions to the quadratic equation will be:

$x=\sqrt{57}+6,\:x=-\sqrt{57}+6$

5 0

2 years ago

SO<br> Determine the values of<br> a, b, and c for<br> the quadratic equation:<br> 4x2 - 8x = 3

Schach [20]

I believe it’s

a = 4
b = -8
c = -3

6 0

3 years ago

-1/2 + (3/4 x 4/9) =

Nookie1986 [14]

-.1666667
You can use khan academy or Socratic if you still not sure.

7 0

3 years ago

Page

Karolina [17]

I think we have to see the image to answer you question

7 0

3 years ago

What is the measure of the missing angle in a triangle that contains angle measures of 37° and 59°?

Vera_Pavlovna [14]

Answer:84 degrees

Step-by-step explanation:

so if a triangle is 180 degrees in total you need to find how much you need to equal that so you add 59+37=96 degrees so then you will subtract 180-96=84 degrees

Your welcome!

4 0

3 years ago