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spayn [35]
2 years ago
15

Find the equation of the line that passes through (-1,2) and is perpendicular to

Mathematics
1 answer:
Natalija [7]2 years ago
8 0

Answer:

Remember that the slope of perpendicular lines are negative reciprocals of each other.

Step-by-step explanation:

y = 1 - 2x     the slope is -2     the value of the x term.

So the slope of the new line using point (- 1, 2)  is  1/2.

Now use y = mx + b where y = -1, x = 2, and m = 1/2 .

y = mx + b

-1 = 1/2(2) + b                solve for "b", the y-intersect

-1 =  1 + b

-2 = b

The line that is perpendicular to y = 1 - 2x  is  y = 1/2x - 2

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What is the square footage of a ploygon that is 120 x 100?
viva [34]

Answer:

12000

Step-by-step explanation:

8 0
3 years ago
HELP PLEASE!!!!
kumpel [21]

Answer:

The rational numbers are \frac{11}{3}, 6.25, 0.01045,\sqrt{\frac{16}{81}},0.\bar{42} and the irrational functions are \sqrt{48},\sqrt{\frac{3}{16}}.

Step-by-step explanation:

A rational number can be expressed in the form of \frac{p}{q}, where p and q are integers and q is not equal to 0. For example 2,3.5,\frac{2}{5},....

An irrational function can not be expressed in the form of \frac{p}{q}, where p and q are integers and q is not equal to 0. For example \sqrt{2},\sqrt{3},\sqrt{5},....

If any number is multiplied by a irrational number then the resultant number is an irrational number.

By the above definition we can conclude that:

The number \frac{11}{3} is a rational number.

\sqrt{48}=\sqrt{16\times 3}=4\sqrt{3}

Therefore \sqrt{48} is an irrational number.

6.25=\frac{625}{100}=\frac{25}{4}

Therefore 6.25 is a rational number.

0.01045=\frac{1045}{100000}=\frac{209}{20000}

Therefore 0.01045 is a rational number.

\sqrt{\frac{16}{81}}=\frac{4}{9}

The number \frac{16}{81} is a rational number.

\sqrt{\frac{3}{16}}=\frac{\sqrt{3}}{4}

The number \frac{3}{14} is an irrational number.

0.\bar{42}=\frac{42}{99}

Therefore 0.\bar{42} is an irrational number. The numbers with recursive bar are always rational numbers.

3 0
3 years ago
What is the probability of rolling a product of 30 when rolling two dice?
Nimfa-mama [501]
It has a probability of 2 out of 36 chances as there are only two ways it can happen out of 36 different combinations that can be rolled. Product means multipication also in Maths 

<span>The first probability on the first roll is that Dice 1 must be a 5 and Dice 2 must be a 6 so that 5x6=30 </span>

<span>The second probability on the second roll is that Dice 1 must be 6 while Dice 2 must be 5 so that 6x5=30 </span>

<span>That is the only two ways out of 36 different combinations that can be made by rolling to Die. Therefore the probability is 2 out of 36

</span>
8 0
3 years ago
Q.2 - What is the value of y in the equation 3(4y - 12) = 0 ? Show your work.
Alex

Hey there!

3(4y - 12) = 0

3(4y) + 3(-12) = 0

12y - 36 = 0

Add 36 to both sides

12y - 36 + 36 = 0 + 36

Cancel out: -36 + 36 because it give you 0

Keep: 0 + 36 because it help solve for the equation

New equation: 12y = 0 + 36

Simplify it

12y = 36

DIVIDE 12 to both sides

12y/12 = 36/12

Cancel out: 12/12 because that give you 1

Keep: 36/12 because it give you the y-value (also known as your overall result)

New equation: y = 36/12

Simplify it

y = 3


Therefore, your answer should be:

y = 3


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

5 0
1 year ago
How many ways can 4 student ma be chosen from a class of 30 students is ?
andre [41]
That's we can solve by using a combination algorithm: C^4_{30}=\frac{30*29*28*27}{4*3*2*1} = 27405
3 0
3 years ago
Read 2 more answers
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