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Tasya [4]
3 years ago
10

Solve by elimination -5x+3y=20 5x-6y=-10

Mathematics
1 answer:
allochka39001 [22]3 years ago
6 0
Y= -10/3
X= -6

Steps:
-3y=10
Y=-10/3

-5x+3(-10/3)=20
X=-6
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In a certain? city, the record rainfall during an 12 hour period is 11 2/3 inches how much rain fell per hour on average
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namely, how many times does 12 go into 11⅔.

let's firstly convert the mixed fraction to improper fraction, and then divide.


\bf \stackrel{mixed}{11\frac{2}{3}}\implies \cfrac{11\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{35}{3}} \\\\\\ \cfrac{35}{3}\div 12\implies \cfrac{35}{3}\div \cfrac{12}{1}\implies \cfrac{35}{3}\cdot \cfrac{1}{12}\implies \cfrac{35}{36}

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Find the quotation of 4/20 and 1/5​
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Divide Rational Expressions<br> In the following exercises, divide.
guapka [62]

Answer:

\displaystyle \mathbf{\frac{5}{(c+4)}}

Step-by-step explanation:

<u>Division of Rational Expressions</u>

When dividing two rational expressions like f(c) / g(c), it's usually easier to multiply the numerator by the reciprocal of the denominator: f(c) * (1/g(c)). The reciprocal is just flipping the numerator and the denominator.

Let's find the following division:

\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}

First, we factor the polynomials where possible.

c^2-64 = (c-8)(c+8)

3c^2+26c+16=(3c+2)(c+8)

c^2-4c-32=(c-8)(c+4)

15c+10=5(3c+2)

Substituting:

\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}=\frac{\frac{(c-8)(c+8)}{(3c+2)(c+8)}} {\frac{(c-8)(c+4)}{5(3c+2)}}

Multiplying by the reciprocal of the denominator:

\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}=\frac{(c-8)(c+8)}{(3c+2)(c+8)}\cdot  \frac{5(3c+2)}{(c-8)(c+4)}

Simplifying by (c+8)(3c+2)(c-8):

\displaystyle \frac{\frac{c^2-64}{3c^2+26c+16}} {\frac{c^2-4c-32}{15c+10}}=\frac{5}{(c+4)}

Answer:

\displaystyle \mathbf{\mathbf{\frac{5}{(c+4)}}}

5 0
3 years ago
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