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3 years ago

Select all the correct answers. Which expressions represent a difference of squares?

Mathematics

1 answer:

MrRissso [65]3 years ago

7 0

Answer:

25x2-36

1-16x2

Step-by-step explanation:

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Which of these statements are true?

kykrilka [37]

Answer:

Step-by-step explanation:

Because Y and X axis have being shift to the corner of left

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3 years ago

A line passes through the points (8, –1) and (–4, 2). A coordinate plane. What is the y-intercept of this line?

lora16 [44]

Answer:

y-intercept is 1

Step-by-step explanation:

We need to find the equation of the line first.

<h3>Gradient</h3>

The gradient is found using the formula:

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

$m=\frac{-1-2}{8--4}$

$m=-\frac{1}{4}$

So the equation is y = $-\frac{1}{4}$ x + c

<h3>Finding c</h3>

To find c we need to substitute the value of x and y into the equation:

-1 = $-\frac{8}{4}$ + c

-1 = -2 + c

1 = c

And c is the y-intercept so it is 1

8 0

3 years ago

Read 2 more answers

Find the arc length of the given curve between the specified points.

yuradex [85]

Answer:

4.25

Step-by-step explanation:

Given:

$f(x) = \frac{x^3}{12} + \frac{1}{x} \\\\Arc Length = \int\limits^a_b {\sqrt{1 + (f'(x))^2} } \, dx \\f '(x) = \frac{x^2}{6} - \frac{1}{x^2}\\\\f'(x)^2 = (\frac{x^2}{6} - \frac{1}{x^2})^2 = \frac{x^4}{36} + \frac{1}{x^4} - \frac{1}{3}\\\\1 + f'(x)^2 = \frac{x^4}{36} + \frac{1}{x^4} + \frac{2}{3}\\\\\= \frac{x^8 + 36 + 12x^4}{36x^4}\\\\= \frac{(x^4 + 6)^2}{36x^4}\\\\=\sqrt{1 + f'(x)^2} = \sqrt{ \frac{(x^4 + 6)^2}{36x^4}}\\\\= \frac{x^2}{6} + \frac{1}{x^2} \\\\$

$ArcLength = \int\limits^4_1 {\frac{x^2}{6} + \frac{1}{x^2} } \, dx \\= (\frac{x^3}{18} - \frac{1}{x})\limits^4_1\\\\= (\frac{64}{18} - \frac{1}{4}) - (\frac{1}{18} - 1)\\\\= \frac{17}{4}= 4.25$

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3 years ago

A CIRCLE HAS A CIRCUMFENCE 43.96 YD FIND THE RADUIS OF THE CIRCLE explain

AlekseyPX

Answer:

≈ 7

Step-by-step explanation:

8 0

3 years ago

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Which is a correct statement about the description " two less than the quotient of a number cubed and sixteen increased by eight

Salsk061 [2.6K]

[x^3/(16+8)]-2

It says the quotient, dividing, of 'a number', which means a variable or unknown number, cubed, which means to the 3rd power, and 16 increased by 8 (which is 16+ 8) and at the beginning it says 2 less than which means -2.

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3 years ago

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