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trasher [3.6K]
3 years ago
12

What is standard form for y-1=1/4(x-12)

Mathematics
1 answer:
Tcecarenko [31]3 years ago
5 0
<h2>Answer:</h2><h2> x-4y= 8 </h2><h2>I hope it helps :)</h2><h2>Step-by-step explanation:</h2><h2>x-4y=8\\</h2><h2>The- standard- form- of- a -linear -equation- is -\\Ax+By=C\\Multiply -both -sides -by, 4\\4(y-1)=4(\frac{1}{4} *(x-12))\\</h2><h2>Simplify;\\4y-4=x-12\\Rewrite- the- equation- with the- sides- flipped\\x-12=4y-4\\Move -all -terms -containing- variables- to -the- left -side- of- the- equation\\x-4y-12=-4\\Move -all -terms- not -containing- a- variable- to- the -right -side- of- the- equation.\\x - 4y = -4+12\\x-4y=8</h2>
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What is the ratio of the area of the inner square to the area of the outer square?
Anastasy [175]

Answer:

\frac{(a-b)^2+b^2}{a^2}

Step-by-step explanation:

Since, By the given diagram,

The side of the inner square = Distance between the points (0,b) and (a-b,0)

=\sqrt{(a-b-0)^2+(0-b)^2}

=\sqrt{(a-b)^2+b^2}

Thus the area of the inner square = (side)²

=(\sqrt{(a-b)^2+b^2})^2

=(a-b)^2+b^2\text{ square cm}

Now, the side of the outer square = Distance between the points (0,0) and (a,0),

=\sqrt{(a-0)^2+0^2}

=\sqrt{a^2}=a

Thus, the area of the outer square = (side)²

=a^2\text{ square cm}

Hence, the ratio of the area of the inner square to the area of the outer square

=\frac{(a-b)^2+b^2}{a^2}

4 0
2 years ago
Read 2 more answers
Please help its urgent​
navik [9.2K]

Answer:

Step-by-step explanation:

18x-6=120

18x=120+6

18x=126

    x=126÷18

    x=7

5 0
3 years ago
Find the product and simplify your answer.<br> -3x(6x3 - 5x + 5)
Len [333]

Answer:

Step-by-step explanation:

product: -18x4 + 15x2 - 15x

the simplification just ends up being the original equation.

4 0
3 years ago
A triangle has a perimeter of 10a + 3b + 12 and has sides of length 3a + 8 and 5a + b what is the length of the third side ?
RideAnS [48]

Answer:

  2a +2b +4

Step-by-step explanation:

The perimeter is the sum of the lengths of the three sides. If x represents the length of the third side, then ...

  (3a +8) +(5a +b) +x = (10a +3b +12)

Subtracting from the equation everything on the left side that is not x, we get ...

  x = (10a +3b +12) -(3a +8) -(5a +b)

  = a(10 -3 -5) +b(3 -1) +(12 -8)

  = 2a +2b +4

The length of the third side is 2a +2b +4.

5 0
2 years ago
What is the simplified form of the following expression? (5 points)
jek_recluse [69]

\huge \boxed{\mathbb{QUESTION} \downarrow}

  • Simplify ⇨ (n⁵)(n²)

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

\tt \: ( n ^ { 5 } ) ( n ^ { 2 } )

To multiply powers of the same base, add their exponents.

\tt \: n ^{5 + 2}  \\

Add 5 and 2 to get 7.

=   \boxed {\boxed{\bf \:  {n}^{7} }}

  • The first option <em><u>n⁷</u></em><em><u> </u></em>is the correct answer.

5 0
2 years ago
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