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3 years ago

What is the absolute value of

Mathematics

1 answer:

andrezito [222]3 years ago

6 0

Answer:

$\frac{8}{9}$

Step-by-step explanation:

the absolute value function always returns a positive value, that is

| a | = | - a | = a

| $\frac{8}{9}$ | = $\frac{8}{9}$

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Find the greatest common factor of 6y^3 and 10n^2

Tasya [4]

SOLUTION:

GCF = 2

= 6y^3 + 10n^2

= 2 ( 3y^3 + 5n^2 )

Hope this helps! :)
Have a lovely day! <3

7 0

3 years ago

Find all solutions of

grin007 [14]

Answer: $x=n\pi +(-1)^n\dfrac{\pi}{6}$ , $x=n\pi +(-1)^n\left(\dfrac{-\pi}{6}\right)$

Step-by-step explanation:

Given

$\sin x-\sqrt{1-3\sin^2x}=0$

Take the square root term to the right-hand side

$\Rightarrow \sin x=\sqrt{1-3\sin^2x}\\\text{Squaring both sides}\\\Rightarrow \sin^2x=1-3\sin^2x\\\Rightarrow 4\sin^2x=1\\\\\Rightarrow \sin^2x=\dfrac{1}{4}\\\\\Rightarrow \sin x=\pm\frac{1}{2}$

for

$\sin x=\dfrac{1}{2}$

$x=n\pi +(-1)^n\dfrac{\pi}{6}$

for

$\sin x=\dfrac{-1}{2}$

$x=n\pi +(-1)^n\left(\dfrac{-\pi}{6}\right)$

3 0

3 years ago

I need help understanding Algebra 1 - S2 Linear equations Graphing and to help me better understand how to understand Y=Mx+b

Serhud [2]

$\tt \: y = mx + b$ is the slope intercept form of writing the equation of a straight line. Here, m is the slope and b is the y-intercept.

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3 years ago

A professor grades students on four tests, a term paper, and a final examination. Each test counts as 15% of the course grade. T

klemol [59]

Answer:

The Alan's average for course is 72.65.

Step-by-step explanation:

Given that,

Each test counts as 15% of the course grade. 20% of course grade is counted term test paper. Alan has test scores of 79, 95, 89, and 81. Alan got 81 score on his term paper . Alan's final examination score = 85.

$\sum w=1$