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2 years ago

Help please, giving BRAINLIEST!!!

Mathematics

1 answer:

PtichkaEL [24]2 years ago

4 0

10 have a good day byeeee

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The measure of angle S is ___ degrees. Round the number to the nearest degree.

Alex787 [66]

30 degrees because it's a 30-60-90

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3 years ago

Someone help me out please

uysha [10]

1 step (B): raise both sides of the equation to the power of 2.

$(\sqrt{x+3}-\sqrt{2x-1})^2=(-2)^2,\\ (x+3)-2\sqrt{x+3}\cdot \sqrt{2x-1}+(2x-1)=4,\\ 3x+2-2\sqrt{x+3}\cdot \sqrt{2x-1}=4$ .

2 step (A): simplify to obtain the final radical term on one side of the equation.

$-2\sqrt{x+3}\cdot \sqrt{2x-1}=4-3x-2,\\ -2\sqrt{x+3}\cdot \sqrt{2x-1}=2-3x,\\ 2\sqrt{x+3}\cdot \sqrt{2x-1}=3x-2$ .

3 step (F): raise both sides of the equation to the power of 2 again.

$(2\sqrt{x+3}\cdot \sqrt{2x-1})^2=(3x-2)^2,\\ 4(x+3)(2x-1)=(3x-2)^2$ .

4 step (E): simplify to get a quadratic equation.

$4(2x^2-x+6x-3)=(3x)^2-2\cdot 3x\cdot 2+2^2,\\ 8x^2+20x-12=9x^2-12x+4,\\ x^2-32x+16=0$ .

5 step (D): use the quadratic formula to find the values of x.

$D=(-32)^2-4\cdot 16=1024-64=960, \\ \sqrt{D} =8\sqrt{5} ,\\ x_{1,2}=\dfrac{32\pm 8\sqrt{5}}{2} =16\pm 4\sqrt{5}$ .

6 step (C): apply the zero product rule.

$x^2-32x+16=(x-16-4\sqrt{5}) (x-16+4\sqrt{5}) ,\\ (x-16-4\sqrt{5}) (x-16+4\sqrt{5}) =0,\\ x_1=16+4\sqrt{5} ,x_2=16-4\sqrt{5}$ .

Additional 7 step: check these solutions, substituting into the initial equation.

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3 years ago

Two vertices of a rectangle are (−10, −7) and (−10, 18) .

Bingel [31]

Answer:

The length of the side of the rectangle is 11 units.

8 0

3 years ago

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Given log3 2=0.631 log3 7=1.771 what is log3 14?

Leni [432]

In logarithm, inverse operations are applied.
$log_3{14} = log_3{7} + log_3{14} \\ log_3{14} = 0.631 + 1.771 \\log_3{14} = 2.402$

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3 years ago

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Round 639,121 to the nearest ten thousand.

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Answer:

640,121

Step-by-step explanation:

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3 years ago

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