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attashe74 [19]
2 years ago
9

Find the equation of the line that contains the point (4,-2) and is perpendicular to the line y=-2x+8.

Mathematics
1 answer:
snow_tiger [21]2 years ago
4 0

Answer:

\frac{1}{2} x - 4

Step-by-step explanation:

Perpendicular lines will have slopes that are the multiplicative additive inverse of each other: a line with slope 3/4 is perpendicular to a line with slope -4/3, for example.  You need a line that is perpendicular to a line with slope -2 (reading that from the -2 in the -2x portion of the given equation, which is written in slope-intercept form), so your new line must have slope +1/2.

With the slope and a point, we can come up with an equation using this formula:

y - y-coordinate = slope (x - x-coordinate)

So we have y - (-2) = 1/2 (x - 4).

Simplify the equation:  y + 2 = 1/2 x - 2

Subtract 2 from both sides: y + 2 - 2 = 1/2 x - 2 - 2

Simplify: y = 1/2 x - 4.

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he mayor of a town has proposed a plan for the construction of an adjoining community. A political study took a sample of 160016
Diano4ka-milaya [45]

Answer:

2.60

Step-by-step explanation:

Given that:

n = 1600

\hat p = 0.34

P_o = 0.31

The test statistics can be computed as:

Z = \dfrac{\hat p - P_o}{\sqrt{ \dfrac{P_o\times (1-P_o) } {n} }}

Z = \dfrac{0.34-0.31}{\sqrt{ \dfrac{0.31 \times (1-0.31) } {1600} }}

Z = \dfrac{0.03}{\sqrt{ \dfrac{0.31 \times (0.69) } {1600} }}

Z = \dfrac{0.03}{\sqrt{ \dfrac{0.2139} {1600} }}

Z = 2.60

4 0
3 years ago
Which expression is equivalent to 16^2 − 36? (Explain)
seropon [69]

Answer:

4(2x-3)(2x + 3)

Step-by-step explanation:

Here, we want to simplify the given expression

we can have;

16x^2-36

= 4(4x^2 -9)

we can use the difference of two squares

where;

a^2 - b^2 = (a-b)(a + b)

= 4(2x-3)(2x+ 3)

6 0
2 years ago
Christine performed the following experiment 20 times using a book that contains 462 pages.
wel

Using the probability concept, it is found that there is a 0.3 = 30% experimental probability that Christine will randomly choose a page that is divisible by 3.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In an experimental probability, these number of outcomes are taken from previous trials.

In this problem:

  • The experiment was made 20 times.
  • Of those, in 6 experiments(81, 105, 171, 159, 297, 387) she choose a page that was divisible by 3.

Then:

p = \frac{6}{20} = 0.3

0.3 = 30% experimental probability that Christine will randomly choose a page that is divisible by 3.

You can learn more about the probability concept at brainly.com/question/15536019

7 0
2 years ago
The sum of a number and 9 is multiplied by -2 and the answer is -8
nadya68 [22]
9(-2)+x=-8
And x would be positive 26
7 0
3 years ago
Evaluate j/k -0.2k when j =25 and k = 5
denis-greek [22]
When you have an equation that has variables and you know the value of those variables, just plug it it. So plugging the vaules we get
\frac{25}{5}-\frac{1}{5}5
Just evaluating we get 4
5 0
3 years ago
Read 2 more answers
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