3 years ago

Standard form Ax+By=C x-3y=-6

Mathematics

1 answer:

Gennadij [26K]3 years ago

8 0

Explanation:

The equation is already in standard form.

A is 1. The number 1 is often unwritten.

B is -3. The negative or positive sign is included with the equation.

C is -6. (If using this for the quadratic formula, c is actually 6 because the equation should equate to 0).

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Find all the solutions of sin x + cos x = 1 in the interval [0, 2pie).

Mashcka [7]

Answer:

X = 0, π/2 in the interval [0, 2pi).

Step-by-step explanation:

Use the auxiliary angle method:

R sin(x + a) = Rsin x cos a + Rcos x sin a = 1

sin x + cos x = 1

Comparing coefficients:

R cos a = 1 and R sin a = 1, so

tan a = R sin a / R cos a = 1

So a = π/4 radians.

Also R^2(sin^2 a + cos^2 a) = 1^2 + 1^2 = 2

Therefore R = √2.

So √2 sin (x +π/4 = 1

sin x + π/4 = 1/√2

x + π/4 = π/4

x = 0 radians

Also

x = 0 + π/2 = π/2.

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2 years ago

What is the y-intercept of the line represented by the equation?<br><br> y = –6x – 1

VLD [36.1K]

$y=mx+b\\
b-\text{y-intercept}\\\\
y=-6x-1\\
\Downarrow\\\boxed{ b=-1}$

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2 years ago

Please help me it's for my homework

Tema [17]

The answer yo your question is 33.6%.

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2 years ago

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On a math test, the highest grade is 38 points higher than the lowest grade. Which of the following expressions represents the a

Alinara [238K]

Answer:

the answer is b I got it right!

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2 years ago

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The area of a rectangle is 12a^2-a-6 square inches. The width is 4a-3 inches. What is the length

Tema [17]

The length of rectangle is 3a+2 inches.

Step-by-step explanation:

Area of rectangle = 12a²-a-6

Width of rectangle = 4a-3

Length of rectangle = l

We know that;

Area of rectangle = Length * width

Length = $\frac{Area\ of\ rectangle}{Width}\\$

$Length=\frac{12a^2-a-6}{4a-3}\\Length=\frac{12a^-9a+8a-6}{4a-3}\\Length=\frac{3a(4a-3)+2(4a-3)}{4a-3}\\Length=\frac{(4a-3)(3a+2)}{4a-3}\\Length=3a+2$

The length of rectangle is 3a+2 inches.

Keywords: area, rectangle

Learn more about rectangles at:

#LearnwithBrainly

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3 years ago