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saveliy_v [14]
3 years ago
13

What is the result of subtracting the second equation from the first? -2x+y=0 7x+3y=2

Mathematics
1 answer:
ikadub [295]3 years ago
4 0

Answer:

5x -2y = -2

Step-by-step explanation:

-2x+y=0

-7x+3y=2

Subtract the second equation from the first

-2x+y=0

7x-3y=-2

------------------

5x -2y = -2

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If you roll one die and flip one coin, what is the probability of rolling a 2 and flipping a head? Why?
Nezavi [6.7K]

Answer:

Probability of rolling a 2 and flipping a head will be \frac{1}{12}    

Step-by-step explanation:

If we roll one die then probability to get any one side is \frac{1}{6}

Therefore, probability to get 2 by rolling the die will be P(A) = \frac{1}{6}

Now we flip a coin then getting head or tale probability is \frac{1}{2}

Or probability to get head by flipping the coin P(B) = \frac{1}{2}

Probability of happening both the events (rolling a 2 and flipping a head) will be denoted by

P(A∩B) = P(A)×P(B)

           = \frac{1}{6}\times \frac{1}{2}

           = \frac{1}{12}

Therefore, probability of rolling a 2 and flipping a head will be \frac{1}{12}        

3 0
3 years ago
Read 2 more answers
Graph a triangle (LMN) and rotate it 180° around the origin to create triangle L′M′N′.
andreev551 [17]

When a triangle is rotated, it must be rotated through a center of rotation.

Assume the coordinate of LMN is

\mathbf{L = (1,1)}

\mathbf{M = (1,7)}

\mathbf{N = (3,6)}

The rule of 180-degree rotation is:

\mathbf{(x,y) \to (-x,-y)}

So, we have:

\mathbf{L' = (-1,-1)}

\mathbf{M' = (-1,-7)}

\mathbf{N' = (-3,-6)}

See attachment for the graphs of LMN and L'M'N

<u>(a) Describe the transformation</u>

When triangle LMN is rotated 180 degrees across the origin, the x and y coordinates of LMN are negated to form triangle L'M'N'

<u>(b) Lines LL' and MM'</u>

The distance between point L and the center of origin is the same as the distance between point M' and the center of origin

Similarly, the distance between point L and the center of origin is the same as the distance between point M' and the center of origin

<u>(c) Line NN'</u>

Line NN' will assume the same characteristics as lines LL' and MM'

Read more about transformations at:

brainly.com/question/11707700

7 0
2 years ago
What is 46/200 as a decimal
barxatty [35]
Simple way of finding the decimal value : -

=> 46/200
Divide numerator and denominator by 2
=23/100
As 100 is in denominator, shift decimal by 2, i.e
= 0.23

Answer = 0.23
6 0
3 years ago
5 less than a number is equivalent to 1 more than three times the number. the number is​
lutik1710 [3]

Answer:

x = -1

Step-by-step explanation:

5 less than a number is equivalent to 1 more than three times the number

number = x

x - 5 = 3x + 1

now im going to get the numbers and variable on different sides

x - 5 + 5 = x

3x + 1 - 3x = 1

x + 3x = 4x

1 - 5 = -4

4x = -4

lastly im going to divide each side by 4

4x / 4 = x

-4 / 4 = -1

x = -1

3 0
3 years ago
A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18 \pi18π18, pi
Whitepunk [10]

Answer:

A=81\pi $ m^2

Step-by-step explanation:

Circumference of the column =18\pi $ meters

Circumference of a circle=2\pi r

Therefore:

2\pi r =18\pi $ meters\\2r=18\\r=18 \div 2\\$Radius, r=9 meters

Area of a Circle =\pi r^2

Since radius of the cross section of the column =9 meters

Area of the cross section of the column

=\pi *9^2\\=81\pi $ m^2

5 0
3 years ago
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