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Elenna [48]
3 years ago
14

A) through (7, 1) and perpendicular to y=-x+ 3

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
7 0

Step-by-step explanation:

Two lines that are perpendicular to each other has -1 as the product of thir gradient.

Since the gradient of the line y = 3 - x is -1, the gradient of the other line must be 1.

So y = x + c.

When x = 7, y = 1. 1 = 7 + c, c = -6.

Hence the equation of the line is y = x - 6.

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A bin contains 25 light bulbs, 5 of which are in good condition and will function for at least 30 days, 10 of which are partiall
Ira Lisetskai [31]

Answer:

The probability that it will still be working after one week is \frac{1}{5}

Step-by-step explanation:

Given :

Total number of bulbs = 25

Number of bulbs which are good condition and will function for at least 30 days = 5

Number of bulbs which are partially defective and will fail in their second day of use = 10

Number of bulbs which are totally defective and will not light up = 10

To find : What is the probability that it will still be working after one week?

Solution :

First condition is a randomly chosen bulb initially lights,

i.e. Either it is in good condition and partially defective.

Second condition is it will still be working after one week,

i.e. Bulbs which are good condition and will function for at least 30 days

So, favorable outcome is 5

The probability that it will still be working after one week is given by,

\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}

\text{Probability}=\frac{5}{25}

\text{Probability}=\frac{1}{5}

5 0
3 years ago
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bearhunter [10]

Answer:

1.

Step-by-step explanation:

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2. sin^2 + cos^2 =1, cos 61= (1-t)^(1/2)

3. [2sin^2 (x)sin(x) +2cos^2 (x)sin(x)]/2cos(x) = 2sin(x) / 2cos(x) = tan(x)

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mariarad [96]

Answer:

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Step-by-step explanation:

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Mandarinka [93]

Answer:

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Step-by-step explanation:

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On the coordinate plane below, triangle ABC was rotated
agasfer [191]

Answer: AB/y = BC/z = AC/x

Step-by-step explanation:

Side AB corresponds to side y, side BC corresponds to side z, and side AC corresponds to side x.

7 0
2 years ago
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