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IgorLugansk [536]
3 years ago
6

For the following system of equations, determine how many solutions there are. y = 5(x − 4) and 4x + 12 = −y

Mathematics
1 answer:
enyata [817]3 years ago
6 0

Answer:

<u>It</u><u> </u><u>has</u><u> </u><u>two</u><u> </u><u>solutions</u>

Step-by-step explanation:

y = 5(x - 4)

substitute for y in second equation:

4x + 12 =  - y \\ 4x + 12 =  -  \{5(x - 4) \} \\ 4x + 12 =  - 5x + 20 \\ 9x = 8 \\ x =  \frac{8}{9}

then for y:

y = 5(x - 4) \\ y = 5( \frac{8}{9}  - 4) \\  \\ y = 5( -  \frac{28}{9} ) \\  \\ y =  -  \frac{140}{9}

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Step-by-step explanation:

Given c = longest of triange = 15m

Given b = short side of triangle = 9m

By pythagoras' Theorem,

{c}^{2}  =  {a}^{2}   +  {b}^{2}  \\  {a}^{2}  +  {b}^{2} =  {c}^{2}   \\  {a}^{2}  +  {(9)}^{2}  =  {(15)}^{2}  \\  {a}^{2}  + 81 = 225 \\  {a}^{2}  = 225 - 81 \\  {a}^{2}  = 144 \\ a =  \sqrt{144}  \\  = 12m

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3 years ago
How does the method for solving equations with fractional or decimal coefficients and constants compare with the method for solv
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Answer:

Step-by-step explanation:

When solving equations with fractional or decimal coefficients, the equations needs to be multiplied by the multiple of denominator such that the equations have integer coefficients and constants

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2 years ago
ASAP!!! WILL GIVE BRAINLY!
kirill115 [55]

Answer:

0.64.

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2 years ago
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2 years ago
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Hope this answers the question. Have a nice day. Feel free to ask more questions.
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