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olasank [31]
3 years ago
12

What is the slope of a line perpendicular to the line with equation y = 5x – 2?

Mathematics
1 answer:
LekaFEV [45]3 years ago
4 0

Answer:

- \frac{1}{5}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x - 2 ← is in slope- intercept form

with slope m = 5

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{5}

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Find a cartesian equation for the curve and identify it. r = 10 tan(θ) sec(θ)
Vilka [71]
For a cartesian equation
x=r\cos\theta \ and \ y=r\sin\theta \\  \\ \cos\theta=\frac{x}{r} \ and \ \sin\theta=\frac{y}{r} \\  \\ \tan\theta=\frac{\sin\theta}{\cos\theta}=\frac{y}{r}\cdot\frac{r}{x}=\frac{y}{x} \\  \\ \sec\theta=\frac{1}{\cos\theta}=\frac{r}{x}

Given r = <span>10 tan(θ) sec(θ)
r=10\tan\theta\sec\theta=10\cdot\frac{y}{x}\cdot\frac{r}{x} \\  \\ \Rightarrow10y=x^2 \\  \\ \Rightarrow y= \frac{1}{10} x^2

Therefore,</span>the curve is a parabola opening upward with vertex (0, 0).
3 0
3 years ago
Please help asap!!!!
gladu [14]

Answer:

J: x - 2y = -8

Step-by-step explanation:

All you have to do is plug in x or y as 0 for the y-intercept and the x-intercept, respectively. But, for these specific equations, looking at the constant when y isn't multiplied by any number but 1 will show the y-intercept. (e.g. 2x + y = -12, -12 is the y-intercept, 2x - y = -20 -> -2x + y = 20, 20 is the y-intercept)

F: y-intercept = -12 (incorrect)

G: y-intercept = 0 (incorrect)

H: y-intercept = 20 (incorrect)

J: y-intercept = 4 (correct)

8 0
3 years ago
Which of the following is NOT a measure ofâ center? Choose the correct answer below.
irina [24]

Answer:

Option B) census

Step-by-step explanation:

We have to find the measure of center.

The measure of center is also known as the measure of central tendency.

The measure of central tendency for a data is given by

  1. Mean
  2. Median
  3. Mode

It help us to identify the central position of data in different ways.

Thus, out of the given option census is not a measure of center.

Option B) census

4 0
3 years ago
What is the value of 32 tens
trapecia [35]
320 has the same value as 32 tens
3 0
3 years ago
Read 2 more answers
What is the Z-score for Paula if she got 1400 on the SAT, the mean was 1100 and the standard deviation was 275? step by step how
Setler [38]

mu = 1100 = population mean

sigma = 275 = population standard deviation

x = 1400 = raw score

z = z score

z = (x-mu)/sigma

z = (1400-1100)/(275)

z = 300/275

z = 1.0909090909091 approximately

z = 1.09

Convention is to round to two decimal places so that you can use a Z table to look up the area under the curve (which helps determine probability).

The positive z score is due to Paula's raw score being above the mean.

7 0
2 years ago
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