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3 years ago

12

What is the solution to the system of equations?

2 answers:

kaheart [24]3 years ago

6 0

Substitution would be a great approach to solving this system, because the first equation defines y as x - 10 and you can thus substitute x - 10 for y in the second equation:

2x + (x - 10) = 4

Then 3x - 10 = 4, and 3x = 14. Solving for x: x = 14/3.

Since y = x-10, subst. 14/3 for x to find y: y = 14/3 - 30/3 = -16/3

The solution is (14/3, -16/3).

AnnZ [28]3 years ago

4 0

Answer: (6, -8)

Step-by-step explanation:

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Angle A is in standard position and terminates in quadrant IV. If sec(A)=4/3, complete the steps to find cot(A).

Butoxors [25]

Answer:

Part A) Use the identity $tan^2(A)+1=sec^2(A)$

Part B) $cot(A)=-\frac{3\sqrt{7}}{7}$

Step-by-step explanation:

we know that

$tan^2(A)+1=sec^2(A)$ ----> by trigonometric identity

we have

$sec(A)=\frac{4}{3}$

substitute in the expression above

$tan^2(A)+1=(\frac{4}{3})^2$

solve for tan(A)

$tan^2(A)+1=\frac{16}{9}$

$tan^2(A)=\frac{16}{9}-1$

$tan^2(A)=\frac{7}{9}$

square root both sides

$tan(A)=\pm\frac{\sqrt{7}}{3}$

Remember that Angle A terminates in quadrant IV

so

The value of tan(A) is negative

$tan(A)=-\frac{\sqrt{7}}{3}$

<em>Find the value of cot(A)</em>

we know that

$cot(A)=\frac{1}{tan(A)}$ ----> is the reciprocal

therefore

$cot(A)=-\frac{3}{\sqrt{7}}$

simplify

$cot(A)=-\frac{3\sqrt{7}}{7}$

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Answer:

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Step-by-step explanation

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2 years ago