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vova2212 [387]
3 years ago
9

Which equation is modeled below?

Mathematics
1 answer:
Slav-nsk [51]3 years ago
7 0

Answer:

B

Step-by-step explanation:

4 (x) + 2 (-1) = 2 (-x) + 6(1)

4x + -2 = -2x + 6

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For each of the following, state the equation of a perpendicular line that passes through (0, 0). Then using the slope of the ne
SVEN [57.7K]

Answer:

The answer is below

Step-by-step explanation:

a) y=3x-1

The standard equation of a line is given by:

y = mx + c

Where m is the slope of the line and c is the intercept on the y axis.

Given that y=3x-1, comparing with the standard equation of a line, the slope (m) = 3, Two lines with slope a and b are perpendicular if the product of their slope is -1 i.e. ab = -1. Let the line perpendicular to y=3x-1 be d, to get the slope of the perpendicular line, we use:

3 × d = -1

d = -1/3

To find the equation of the perpendicular line passing through (0,0), we use:

y-y_1=d(x-x_1)\\d\ is\ the \ slope:\\y-0=-\frac{1}{3} (x-0)\\y=-\frac{1}{3}x

To find  x if the point P(x, 4) lies on the new line, insert y = 4 and find x:

y=-\frac{1}{3}x\\ 4=-\frac{1}{3}x\\-x=12\\x=-12

b) y=1/4 x+2

Given that y=1/4 x+2, comparing with the standard equation of a line, the slope (m) = 1/4. Let the line perpendicular to y=1/4 x+2 be f, to get the slope of the perpendicular line, we use:

1/4 × f = -1

f = -4

To find the equation of the perpendicular line passing through (0,0), we use:

y-y_1=f(x-x_1)\\f\ is\ the \ slope:\\y-0=-4 (x-0)\\y=-4x

To find  x if the point P(x, 4) lies on the new line, insert y = 4 and find x:

y=-4}x\\ 4=-4x\\x=-1

8 0
3 years ago
THERES A PIC!! pls answer!! will give brainliest!!
Andrew [12]

Answer:

The slope/rate of change/growth is 5

Step-by-step explanation:

(-8--3)/(-2--1)=-5/-1=5

7 0
2 years ago
11. In a swimming race, Yvonne swam 0.18 mile.
marishachu [46]

Answer: D= 0.72

Step-by-step explanation: Because 0.18 times 4 is 0.72 miles.

5 0
3 years ago
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The ages of students in a school are normally distributed with a mean of 15 years and a standard deviation of 2 years. Approxima
worty [1.4K]

We have been given that the ages of students in a school are normally distributed with a mean of 15 years and a standard deviation of 2 years.

We are asked to find the percentage of students that are between 14 and 18 years old.

First of all, we will find z-score corresponding to 14 and 18 using z-score formula.

z=\frac{x-\mu}{\sigma}

z=\frac{14-15}{2}

z=\frac{-1}{2}

z=-0.5

Similarly, we will find the z-score corresponding to 18.

z=\frac{18-15}{2}

z=\frac{3}{2}

z=1.5

Now we will find the probability of getting a z-score between -0.5 and 1.5 that is P(-0.5.

P(-0.5

Using normal distribution table, we will get:

P(-0.5

P(-0.5

Let us convert 0.62465 into percentage.

0.62465\times 100\%=62.465\%\approx 62.5\%

Therefore, approximately 62.5\% of the students are between 14 and 18 years old.

8 0
3 years ago
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A new shopping mall records 120 total shoppers on their first day of business. Each day after that, the number of shoppers is 10
zavuch27 [327]
1,139 people.

hope this helped!! a brainliest would be appreciated ❤️
8 0
3 years ago
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