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____ [38]
4 years ago
14

Which system of equations is equivalent to the system of equations shown?

Mathematics
2 answers:
tino4ka555 [31]4 years ago
7 0

     x+y= 4  (-2)
3x+2y = 9

-2x -2y = -8
 3x +2y = 9  
x           = 1

1+y =9
y = 9-1 
y =8
Katena32 [7]4 years ago
3 0
X - 2y = 4
3x + y = 9

is equivalent to :
4x - y = 13
2x - 4y = 8

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Janice heard the final school bell, and 39 seconds later she was running at 2.4 meters per second toward her dad’s car. At this
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Answer:

75 seconds to run 180 meters

Step-by-step explanation:

(180m) / (2.4m/s) = 75 seconds

75 seconds to run 180 meters, but if we take into consideration the initial 39 seconds, then the total time it took to run (75s + 39s) was 114 seconds.

The question didn't explicitly ask the total time it took, but the time it took to run 180 meters.

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Angle 1 + angle 6 is equal to 180° because they are on the same line.
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what is (5.91 x 10^-3) - (8.7 x 10^10) written in a scientific notation? Please answer asap thank you :))
nata0808 [166]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the expression

\left(5.91\times \:10^{-3}\right)-\left(8.7\times \:10^{10}\right)

\mathrm{Remove\:parentheses}:\quad \left(a\right)=a

=5.91\times \:10^{-3}-8.7\times \:10^{10}

as

5.91\times \:10^{-3}

\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}

=5.91\times \frac{1}{10^3}

=\frac{5.91}{1000}

=0.00591

similarly

8.7\times \:10^{10}

Convert element to a decimal form

10^{10}=10000000000

so

=10000000000\times \:8.7

\mathrm{Multiply\:the\:numbers:}\:8.7\times \:10000000000=87000000000

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Thus, the expression becomes

\left(5.91\times \:\:10^{-3}\right)-\left(8.7\times \:\:10^{10}\right)=5.91\times \:\:10^{-3}-8.7\times \:\:10^{10}

                                                =0.00591-87000000000

                                                =-86999999999.9941

Hence,

<em>converting -86999999999.9941 in a scientific notation</em>

In order to make our job easier we will remove the sign "-" from number -86999999999.9941 (we will write "-" at the final solution). So after this step we have:

<em>−86999999999.9941  ⟶  86999999999.9941</em>

<em></em>

In order to write number 86999999999.9941 in scientific notation, we need to move the decimal point from its current location (black dot) to the new position such as:

<em>8.6999999999.9941</em>

<em />

So, we need to move the decimal point 10 places to the right.

This means that the power of 10 will be positive 10.

Now we have that the

Number part = 8.69999999999941 and

Exponent part = 10

Thus, we conclude that:

−86999999999.9941 = − 8.69999999999941 × 10¹⁰

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Answer:

D

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