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dusya [7]
2 years ago
14

Find the area of a square with a side measure of 3x − 6 feet. Question 5 options: 9x2−36x+36 sq. ft. 9x2−6 sq. ft. 9x2+36x+36 sq

. ft. 9x2+36 sq. ft.
Mathematics
1 answer:
Sergeeva-Olga [200]2 years ago
4 0

Answer:

9x^2 - 36x + 36 sq. ft.   (the first option).

Step-by-step explanation:

Area of a square of side  d = d^2.

So area of this square = (3x - 6)^2

=  (3x - 6)(3x - 6)

= 3x(3x - 6) - 6(3x - 6)

= 9x^2 - 18x - 18x + 36

= 9x^2 - 36x + 36 sq ft.

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4x+4y=15. missing coordinate in the ordered pair (−5,?)
Black_prince [1.1K]

I domt get what you mean by coordinate pair could you explain plseas

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3 years ago
Help me with this one
Artist 52 [7]

9514 1404 393

Answer:

  "complete the square" to put in vertex form

Step-by-step explanation:

It may be helpful to consider the square of a binomial:

  (x +a)² = x² +2ax +a²

The expression x² +x +1 is in the standard form of the expression on the right above. Comparing the coefficients of x, we see ...

  2a = 1

  a = 1/2

That means we can write ...

  (x +1/2)² = x² +x +1/4

But we need x² +x +1, so we need to add 3/4 to the binomial square in order to make the expressions equal:

  x^2+x+1\\\\=(x^2+x+\frac{1}{4})+\frac{3}{4}\\\\=(x+\frac{1}{2})^2+\frac{3}{4}

_____

Another way to consider this is ...

  x² +bx +c

  = x² +2(b/2)x +(b/2)² +c -(b/2)² . . . . . . rewrite bx, add and subtract (b/2)²*

  = (x +b/2)² +(c -(b/2)²)

for b=1, c=1, this becomes ...

  x² +x +1 = (x +1/2)² +(1 -(1/2)²)

  = (x +1/2)² +3/4

_____

* This process, "rewrite bx, add and subtract (b/2)²," is called "completing the square"—especially when written as (x-h)² +k, a parabola with vertex (h, k).

5 0
2 years ago
What is estimate + (-3.05) + (-9.8)
katovenus [111]

-3.05 + -9.8 = -12.85

Hope this helps you! Happy Thanksgiving, here's a turkey!

8 0
2 years ago
Read 2 more answers
Can someone help me?
ad-work [718]

Answer:

  • registration fee: $50
  • monthly fee: $80

Step-by-step explanation:

Let r and m represent the registration fee and the monthly fee, respectively. We are told that the charges are ...

  370 = r + 4m

  530 = r + 6m

This is your system of equations.

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Subtract the first equation from the second to start the solution.

  (530) -(370) = (r +6m) -(r +4m)

  160 = 2m . . . . . . simplify

  80 = m . . . . . . . . divide by 2

Using this value in the first equation, we find ...

  370 = r + 4(80)

  50 = r . . . . . . . . . . . . subtract 320

The registration fee is $50; the monthly fee is $80.

3 0
2 years ago
Find the distance between these two points (-6, -5) and (2, 0)
Charra [1.4K]

Answer:

\sqrt{89}

Step-by-step explanation:

Use Distance Formula

\sqrt{(x_{2}-x_{1}  )^{2}  + (y_{2}-y_{1}  )^{2}  }

Substitute

\sqrt{(-5-0)^{2}+(2+6)^{2} }

Simplify

\sqrt{(-5)^{2}+(8)^{2}  }

Simplify

\sqrt{25+64}

Add

\sqrt{89}

3 0
3 years ago
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