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3 years ago

5 - -10 also I need a example thank u everyone for your help

Mathematics

1 answer:

Step2247 [10]3 years ago

6 0

Step-by-step explanation:

A negative number being subtracted makes it positive

5 - -10

5+10 =15

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Find the slope of each line and then determine if the lines are parallel, perpendicular or neither. If a value is not an integer

Aleonysh [2.5K]

As given by the question

There are given that the point of two-line

$\begin{gathered} (1,\text{ 7) and (5, 5)} \\ (-1,\text{ -3) and (1, 1)} \end{gathered}$

Now,

From the condition of a parallel and perpendicular line

If the slopes are equal then the lines are parallel

If the slopes are negative reciprocal then the lines are perpendicular

If the slopes are neither of the above are true then lines are neither

Then,

First, find the slope of both of line

So,

For first-line, from the formula of slope

$\begin{gathered} m_1=\frac{y_2-y_1}{x_2-x_1} \\ m_1=\frac{5_{}-7_{}}{5_{}-1_{}} \\ m_1=-\frac{2}{4} \\ m_1=-\frac{1}{2} \end{gathered}$

Now,

For second-line,

$\begin{gathered} m_1=\frac{y_2-y_1}{x_2-x_1} \\ m_1=\frac{1_{}-(-3)_{}}{1-(-1)_{}} \\ m_1=\frac{4}{2} \\ m_1=2 \end{gathered}$

The given result of the slope is negative reciprocal because

$\begin{gathered} -\frac{1}{2}=-(-\frac{2}{1}) \\ -\frac{1}{2}=2 \end{gathered}$

Hence, the slope of line1 is -1/2, and slope of line2 is 2 and the lines are perpendicular.

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1 year ago

Let the sample space represent all the values from 1 to 10. Let A = {1, 2, 8} and B = {2, 7}. What is the P ( A ∪ B ) ? (Express

Aneli [31]

Let A = {1, 2, 8} and B = {2, 7}.

P ( A ∪ B ) = {1, 2, 7, 8}

= 4/10

= 0.4

Answer: 0.4

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3 years ago

Karins mom runs a dairy farm. Last year Betty the cow gave 375 gallons less than twice the amount from Bessie the cow. Together,

yawa3891 [41]

X = bessie and y = betty

x + y = 1464
y = 2x - 375

x + 2x - 375 = 1464
3x - 375 = 1464
3x = 1464 + 375
3x = 1839
x = 1839/3
x = 613 <== Bessie gave 613 gallons

y = 2x - 375
y = 2(613) - 375
y = 1226 - 375
y = 851 <== Betty gave 851 gallons

7 0

3 years ago

Read 2 more answers

Are the two triangles in the image above similar? If so then what is the correct postulate: SSS, SAS, or AA or None

viktelen [127]

the triangles are similar because of SSS

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3 years ago

You are wakeboarding on a river. You travel 2 miles downstream to a marina for supplies, and then you travel 3 miles upstream to

Zielflug [23.3K]

Let x represent the speed of of boat.

We have been given that the river current is 3 miles per hour.

The speed of boat upstream will be $x-3$ .

The speed of boat downstream would be $x+3$ .

$\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

We have been given that you travel 2 miles downstream to a marina for supplies, and then you travel 3 miles upstream to a dock.

We can represent this information in an equation as:

$\text{Time}=\frac{2}{x+3}+\frac{3}{x-3}$

Since the speed of the boat is 18 miles per hour, so we will substitute $x=18$ in above equation and solve for time.

$\text{Time}=\frac{2}{18+3}+\frac{3}{18-3}$

$\text{Time}=\frac{2}{21}+\frac{3}{15}$

$\text{Time}=\frac{2}{21}+\frac{1}{5}$

$\text{Time}=\frac{2\cdot 5}{21\cdot 5}+\frac{1\cdot 21}{5\cdot 21}$

$\text{Time}=\frac{10}{105}+\frac{21}{105}$

$\text{Time}=\frac{31}{105}$

$\text{Time}=0.295238095$

Since time is in hours, so let us convert our given time in minutes.

1 hour = 60 minutes.

$\text{Time}=0.295238095\times 60\text{ minutes}$

$\text{Time}=17.7142857\text{ minutes}$

Rounding to nearest tenth of minute.

$\text{Time}\approx 17.7\text{ minutes}$

Therefore, it will take approximately 17.7 minutes for the boat to take the trip.

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3 years ago