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3 years ago

Solve the system of equations

Mathematics

1 answer:

Elden [556K]3 years ago

6 0

Answer:

Step-by-step explanation:

-4x + 2y = -30

-2x + 2y = -10

-4x + 2y = -30

2x - 2y = 10

-2x = -20

x = 10

-2(10) + 2y = -10

-20 + 2y = -10

2y = 10

y = 5

(10, 5)

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What’s the answer to the top question and steps how to solve?

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Answer:

-3.69

Step-by-step explanation:

Exponential equations can be solved by taking Ln (natural logarithm) of both sides. The rule we need to know is:

$Ln(a^b)=bLn(a)$

Now lets work out this problem:

$16^{2x+3}=13^{x-1}\\Ln(16^{2x+3})=Ln(13^{x-1})\\(2x+3)Ln(16)=(x-1)Ln(13)$

Using calculator, we take the values of Ln 16 and Ln 13 as:

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Now, we can solve for x:

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4 years ago

In the triangle EFG,

MariettaO [177]

Answer:

$4.\ \sin E = \cos G$

Step-by-step explanation:

Given

$\triangle EFG$

$\angle F = 90^o$ --- right angle

Required

Which of the options is true

In a triangle, we have:

$\angle E + \angle F + \angle G = 180^o$ --- angles in a triangle

Substitute $\angle F = 90^o$

$\angle E + 90^o + \angle G = 180^o$

Collect like terms

$\angle E + \angle G = 180^o -90^o$

$\angle E + \angle G =90^o$

This implies that E and G are complementary angles.

For complementary angles, E and G;

$\sin E = \cos G$ and $\sin G = \cos E$

<em>Hence, (4) is true</em>

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3 years ago