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barxatty [35]
4 years ago
11

Write an equation that represents the line (use exact numbers)

Mathematics
1 answer:
scZoUnD [109]4 years ago
3 0

Answer:

y = x + 6

Step-by-step explanation:

Given

The attached graph

Required

Find the equation of the graph

First, we have to get the coordinates of any two points on the graph;

Point 1:

When x = 0; y = 6

Point 2:

When x = -6, y = 0

So, at this stage;we have two coordinates

(x_1,y_1)(x_2,y_2) = (0,6)(-6,0)

Next is to determine the slope of the line using the following formula

m = \frac{y_2 - y_1}{x_2 - x_1}

Substitute (x_1,y_1)(x_2,y_2) = (0,6)(-6,0)

m = \frac{y_2 - y_1}{x_2 - x_1} becomes

m = \frac{0 - 6}{-6 - 0}

m = \frac{- 6}{-6}

m = 1

Next is to determine the equation using slope formula

m = \frac{y - y_1}{x - x_1}\ or\ m = \frac{y - y_2}{x - x_2}

using

m = \frac{y - y_1}{x - x_1}\ where\ m = 1\ x_1 = 0\ and \ y_1 = 6

1 = \frac{y - 6}{x - 0}

1 = \frac{y-6}{x}

Multiply both sides by x

x * 1 = x * \frac{y-6}{x}

x = y - 6

Add 6 to both sides

x + 6 = y - 6 + 6

x + 6 = y

y = x + 6

<em>Hence, the equation of the line is </em>y = x + 6<em></em>

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Answer:

1.85x10^{19} attempts are required to find a matching pair if the digital fingerprint is 64 bits long.

3.40*10^{38} attempts are required to find a matching pair if the digital fingerprint is 128 bits long.

Step-by-step explanation:

Each bit has two options. So

How many attempts are required to find a matching pair if the digital fingerprint is 64 bits long?

So for each of the 64 bits, we have the following number of options.

2 - 2 - 2 - 2 -... - 2

So, in all, there are

T = 2^{64} = 1.85x10^{19}

options.

So, 1.85x10^{19} attempts are required to find a matching pair if the digital fingerprint is 64 bits long.

128 bits long?

Using the same logic as the first question.

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So, 3.40*10^{38} attempts are required to find a matching pair if the digital fingerprint is 128 bits long.

5 0
3 years ago
The experimental probability of hearing thunder on any given day is Florida is 25%. Out of 730 days, about how many days can Flo
Orlov [11]

The Floridians can predict to hear the thunder on about 183 days out of the 730 days.

<u>Step-by-step explanation:</u>

Given that,

  • The total number of days = 730 days.
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Let 'x' be the number of days out of 730 days that Floridians will hear thunder.

<u>To find the number of days that Floridians will hear thunder :</u>

Number of days will hear thunder = 25% of Total days

The 25% can be expressed in the form of 25/100.

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Further simplifying the above equation,

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Since the number next to the decimal point is equal to 5, round it to the nearest integer.

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4 0
3 years ago
Please help! Need answer ASAP!
Umnica [9.8K]

Answer:

Step-by-step explanation:

A) identical triangles PSR and PSQ

B) in the given triangle PQR angle P is 90 degrees and PS is perpendicular on QR.  so the angle PSR and angle PSQ is 90 degrees also angles RPS , SPQ are 45 degrees . hence when two angles of a triangle are 90 and 45 degrees.  the third is also 45 degrees. when the three angles of two triangles are equal they are said to be similar

C) the triangle PSR is a isosceles triangle therfore the two sides of the two oposite equal angles must be equal. if RS=4  then SP=4 as well the sides opposite to 45 degrees angles. the third side can be found by using the formula

c²=a²+b²

c²=4²+4²=16+16=32

c=√32=√16*2=4√2

4 0
3 years ago
Which of the following is not a correct factorization of the binomial 10x2 + 40x ?
meriva
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Answer:

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