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2 years ago

Find the x and y intercepts for the following. X= -(y-1) ^2-2

Mathematics

1 answer:

Vanyuwa [196]2 years ago

6 0

Answer:

x intercepts: (-3, 0)

y intercepts: (None)

Step-by-step explanation:

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Why is 1 the highest value of sine and cosine functions?

Levart [38]

The length of the sides of any right triangle are always less than the length of the hypotenuse. The sine and cosine functions find the ratio between a side and the hypotenuse, so it's always less than 1.

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3 years ago

What is the perpendicular line in slope form of the equation (-5,8);y=1/5x-1

denpristay [2]

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3 years ago

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1. Find the common difference and find the 75th term of the arithmetic sequence: 3, 6, 9, 12, ....

Ymorist [56]

Answer:

$\boxed{225}$

Step-by-step explanation:

Arithmetic sequence

$Un = a + (n - 1)b$

First step, find its difference

$b = U_2 - U_1$

$b = 6 - 3$

$b = 3$

So, we get

$a = 3$

$b = 3$

Finally, Let's find the 75th term

$U_{75} = 3 + (75 - 1)3$

$U_{75} = 3 + (74)3$

$U_{75} = 3 + 222$

$U_{75} = 225$

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2 years ago

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Find the equation of a line that passes through the point (3,1) and has a gradient of -3. Leave your answer in the form y = m x

Bingel [31]

Answer:

$y = (-3)\, x + 10$ .

Step-by-step explanation:

The question requires that the equation should be in the slope-intercept form $y = m \, x + c$ . The $m$ and $c$ in this equation are constants. In particular:

$m\!$ would represent the slope of this line (also known as the gradient of this line,) whereas
$c$ would be the $y$ -intercept of this line.

The question states that the slope of this line is $(-3)$ . Therefore, $m = -3$ . Thus, the equation for this line should be in the form $y = (-3)\, x + c$ .

The value of constant $c$ could be found using the other piece of information: the point $(3,\, 1)$ is in this line. In other words, the solution $\text{$x = 3$ and $y = 1$}$ should satisfy the equation $y = (-3)\, x + c$ .