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AURORKA [14]
3 years ago
8

Someone please help I want to double check PLEASEEEEE HELLPPPP

Mathematics
1 answer:
nikitadnepr [17]3 years ago
6 0

Answer:

correct

Step-by-step explanation:

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The sum of two numbers is 9.9, and the sum of the squares of the numbers is 53.21. What are the numbers?
Snezhnost [94]

Answer:

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

Step-by-step explanation:

Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:

x + y = 9.9

x^{2} + y^{2} = 53.21

First, x is cleared in the first equation:

x = 9.9 - y

Now, the variable is substituted in the second one:

(9.9-y)^{2} + y^{2} = 53.21

And some algebra is done in order to simplify the expression:

98.01-19.8\cdot y +2\cdot y^{2} = 53.21

2\cdot y^{2} -19.8\cdot y +44.8 = 0

Roots are found by means of the General Equation for Second-Order Polynomials:

y_{1} \approx \frac{32}{5} and y_{2} \approx \frac{7}{2}

There are two different values for x:

y = y_{1}

x_{1} = 9.9-6.4

x_{1} = 3.5

y = y_{2}

x_{2} = 9.9 - 3.5

x_{2} = 6.4

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

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3 years ago
Pythagorean Theorem, A flag pole is 86 inches long. Can it be stored against a closet wall that measures 30 inches by 80 inches?
Flauer [41]

Answer:

no

Step-by-step explanation:

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3 years ago
On the number line 0.2 would be located. Choose a answer to make a true statement.
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Um, there are no choices, so I'll just tell you were it'd be located

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3 years ago
If you share 7 apples equally with 3 people then there are 2 1/3. Frost complete the sentence. Then , briefly explain what the w
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Answer:

The whole number 2 is the number of whole apples each person gets.  The numerator 1 is the number of pieces of the remaining apple each person gets; the denominator 3 is the number of pieces the remaining apple is cut into.

8 0
2 years ago
I have <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bdx%7D%7Bdt%7D%20%3D%20%20%5Cfrac%7B5%7D%7Bx%7D%20" id="TexFormula1" title=
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\bf \cfrac{dx}{dt}=\cfrac{5}{t}\quad ,\quad x(0)=7\to &#10;\begin{cases}&#10;f(t)=0\\&#10;t=7&#10;\end{cases}\\\\&#10;-----------------------------\\\\&#10;\displaystyle \int \cfrac{5}{t}\cdot dt\implies 5\int \cfrac{1}{t}\cdot dt\implies 5ln|t|+C= f(t)&#10;\\\\\\&#10;\textit{now, we know when f(t)=0, t=7}\implies 5ln|7|+C=0&#10;\\\\\\&#10;C=-5ln(7)&#10;\\\\\\&#10;thus\implies \boxed{5ln|t|-5ln(7)=f(t)=x}

notice |7| 7 is positive, so we can simply remove the bars and use 7 by itself

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3 years ago
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