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slamgirl [31]
3 years ago
11

How can x minus two-thirds = StartFraction 5 over 6 EndFraction be solved for x in one step?

Mathematics
2 answers:
ycow [4]3 years ago
5 0
<h3>Add Two-thirds to both sides</h3>

<em><u>Solution:</u></em>

<em><u>Given is:</u></em>

x - \frac{2}{3} = \frac{5}{6}

We have to find how this can be solved for "x" in one step

Remember that,

We we add or subtract same number from both sides of a equation, the equation still remains true

Therefore, from given,

x - \frac{2}{3} = \frac{5}{6}

Add Two-thirds to both sides

Thus,

x - \frac{2}{3} + \frac{2}{3} = \frac{5}{6} + \frac{2}{3}\\\\x =  \frac{5}{6} + \frac{2}{3}\\\\x = \frac{9}{6}

Thus, Add Two-thirds to both sides to solve the sum

enyata [817]3 years ago
5 0

Answer:

option A add two thirds to both sides

Step-by-step explanation:

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Answer:

1. 13\cdot (3+7)

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Step-by-step explanation:

1. Given numbers 39 and 91. Factorize them:

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8 0
3 years ago
if cot theta = -24/7 and cos theta &lt; 0, name the quad in which theta lies, then find the exact value of csc theta
NemiM [27]
Cot θ = -24/7 and cos θ < 0

"cos θ < 0" means cosine is negative

Remember osmething like "ALL students Take Calculus"?

all is positive in quadrant 1
sine/cosecant is positive only in quadrant 2
tangent/cotangent is positive only in quadrant 3
cosine/secant is positive only in quadrant 4

since cot(angent) is the reciprocal of tangent, tangent must also be negative.

tangent is negative in quadrants II and IV
cosine is negative in quadrants II and III

therefore, θ must lie in quadrant II.

remember the tan θ = y / x. it is the y-coordinate divided by the x-coodinate. the y-coordinate would be the height of this 90 degree triangle that forms. the x-coordinate would be the bottom leg of the 90 degree triangle

then cot θ = x / y. therefore, cot θ = -24 / 7 means x = -24 and y = 7. we draw a triangle with these dimensions.

csc θ = r / y = hypotenuse over opposite (when you view the reference angle labeled as the one to base the hypotenuse/oppoiste on) because it is the reciprocal of sine

the hypotenuse can be found w/ pythagorean theorem

hypotenuse = √[(-24)² + 7²] = 25

therefore,
cot θ = 25/7

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