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Dennis_Churaev [7]
3 years ago
6

6) Write an expression that is equivalent to 3(7 + x). 3(7+ x) =___ +___ ?

Mathematics
1 answer:
sergejj [24]3 years ago
6 0

Answer:

21 + 3x

Step-by-step explanation:

hope this helps

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If the given expression is raised to the power of 12, which expression is NOT equivalent?
RSB [31]

Answer:

i believe 1 is d but i’m not sure. very sorry if i’m wrong

Step-by-step explanation:

4 0
3 years ago
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Plz help with full process
BabaBlast [244]

Answer:

\displaystyle \frac{(a - b)^{2} - {c}^{2} }{{a}^{2} - {(b+ c)}^{2} } + \frac{(b - c)^{2} - {a}^{2} }{{b}^{2} - {(c+ a)}^{2} } + \frac{(c - a)^{2} - {b}^{2} }{{c}^{2} - {(a+ b)}^{2} }=1

Step-by-step explanation:

<u>Algebra Simplifying</u>

We are given the expression:

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

We need to repeatedly use the following identity:

(a^2-b^2)=(a-b)(a+b)

For example, the first numerator has a difference of squares thus we factor as:

(a - b)^{2} - {c}^{2} =(a-b-c)(a-b+c)

The first denominator can be factored also:

{a}^{2} - {(b+ c)}^{2} = (a-b-c)(a+b+c)

Applying the same procedure to all the expressions:

\displaystyle T=\frac{(a - b- c)(a-b+c) }{a-b-c)(a+b+c) } + \frac{(b - c - a)(b-c+a) }{(b-c-a)(b+c+a) } + \frac{(c - a-b)(c-a+b) }{(c-a-b)(c+a+b)}

Simplifying all the fractions:

\displaystyle T=\frac{a - b- c}{a+b+c} + \frac{b-c+a}{b+c+a } + \frac{c-a+b }{c+a+b}

Since all the denominators are equal:

\displaystyle T=\frac{a - b+ c+b-c+a+c-a+b}{a+b+c}

Simplifying:

\displaystyle T=\frac{a +c+b}{a+b+c}

Simplifying again:

T = 1

Thus:

\boxed{\displaystyle \frac{(a - b)^{2} - {c}^{2} }{{a}^{2} - {(b+ c)}^{2} } + \frac{(b - c)^{2} - {a}^{2} }{{b}^{2} - {(c+ a)}^{2} } + \frac{(c - a)^{2} - {b}^{2} }{{c}^{2} - {(a+ b)}^{2} }=1}

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3 years ago
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Julli [10]

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In ΔGHI, the measure of ∠I=90°, the measure of ∠H=46°, and IG = 6.9 feet. Find the length of HI to the nearest tenth of a foot.​
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Answer:

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Step-by-step explanation:

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A store pays $307 for a refrigerator. The store marks up the price by 38%. What is the
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Answer:

Since the $307 is the buying price of the store which makes it 100%. The store needs to make a profit from the refrigerator so it adds a +38% on the refrigerator making it a value of 138% of $307 which is 138/100 * $307 =$423.66 but we need it to the nearest dollar which will be rounded of to $424 since it passed the .5 mark

Step-by-step explanation:

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3 years ago
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