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3 years ago

In ΔQRS, s = 7.9 cm, ∠Q=125° and ∠R=23°. Find the length of q, to the nearest 10th of a centimeter

Mathematics

1 answer:

Sholpan [36]3 years ago

3 0

Answer:

12.2 cm

Step-by-step explanation:

A detailed look at the image attached will provide the necessary explanations

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Which equation represents a line that passes through (-9, -3) and has a slope of -6?

eimsori [14]

Answer:

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = - 6 and (a, b) = (- 9, - 3), so

y - (- 3) = - 6(x - (- 9)), that is

y + 3 = - 6(x + 9)

8 0

3 years ago

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arrange the expressions in the correct sequence to rationalize the denominator of the expression -(2)/(\sqrt(x+y-2)-\sqrt(x+y+2)

cupoosta [38]

We have to rationalize the denominator:
$\frac{-2}{ \sqrt{x+y-2} - \sqrt{x+y+2} } = \\ \frac{-2}{ \sqrt{x+y-2} - \sqrt{x+y+2} }* \frac{ \sqrt{x+y-2}+ \sqrt{x+y+2} }{ \sqrt{x+y-2}+ \sqrt{x+y+2} }= \\ \frac{-2*( \sqrt{x+y-2}+ \sqrt{x+y+2}) }{x+y-2-(x+y+2)}= \\ \frac{-2*( \sqrt{x+y-2}+ \sqrt{x+y+2}) }{x+y-2-x-y-2}= \\ \frac{-2*( \sqrt{x+y-2}+ \sqrt{x+y+2} }{-4}= \\ \frac{ \sqrt{x+y-2}+ \sqrt{x+y+2} }{2}$

6 0

3 years ago

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Two more than the quotient of a number and 6<br> is equal to 8

xxTIMURxx [149]

Answer:

Step-by-step explanation:

"Two more" = + 2

"quotient of a number and 6" = n/6

"equal to 8" = = 8

Set the equation:

n/6 + 2 = 8

Isolate the variable n. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 2 from both sides.

n/6 + 2 (-2) = 8 (-2)

n/6 = 8 - 2

n/6 = 6

Isolate the variable n. Multiply 6 to both sides.

(n/6)(6) = (6)(6)

n = 6 * 6

n = 36

36 is your answer.

3 0

3 years ago

Without graphing classify each system as independent dependent or inconsistent -x -y=7<br> 5x-5y=5

jek_recluse [69]

Answer:

Is a consistent independent system

Step-by-step explanation:

we have

$-x-y=7$ -----> isolate the variable y

$y=-x-7$ ----> equation A

$5x-5y=5$ -----> isolate the variable y

$y=x-5$ ---> equation B

Compare equation A and equation B

We can affirm that

The slopes are not equal ( so the lines are not parallel)

The lines are different

The product of their slopes is equal to -1 (the lines are perpendicular)

The system of equations has only one solution

therefore

Is a consistent independent system

5 0

3 years ago

Solve 3x to the <br> second power <br> -2x-8=0 using an algebraic method

MatroZZZ [7]

Answer:

$x=2\textrm{ or } x=-\frac{4}{3}$

Step-by-step explanation:

Given:

The equation is given as:

$3x^{2}-2x-8=0\\3x^{2}-6x+4x-8=0\\3x(x-2)+4(x-2)=0\\(x-2)(3x+4)=0\\\\x-2=0\textrm{ or }3x+4=0\\x-2+2=0+2 \textrm{ or }3x+4-4=0-4\\x=2\textrm{ or }3x=-4\\x=2\textrm{ or}\\x=-\frac{4}{3}$

Therefore, the possible values of $x$ are 2 and $-\frac{4}{3}$

7 0

3 years ago