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STALIN [3.7K]
4 years ago
11

Solve for x and y: x = 5 – 2y 4y = 15 - 2x

Mathematics
1 answer:
Vika [28.1K]4 years ago
7 0

Answer:

No solution.

Step-by-step explanation:

So we have the system of equations:

x=5-2y\\4y=15-2x

We can solve this by substitution. Substitute the first equation into the second. Thus:

4y=15-2(5-2y)

Distribute the right:

4y=15-10+4y

Subtract 4y from both sides:

0=15-10

Subtract the right:

0=5

As you can see, this statement is not true. In other words, the system of equations have no solution (likely because the lines are parallel).

And we're done!

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Which points on this vertical number line best represent the locations of 2.5 and minus 3 over 2 ?
rodikova [14]

Answer:

ok listen when looking at the graph the answer is easy its b

Step-by-step explanation:

5 0
3 years ago
Examine the following table, which represents some points on a line
Lady bird [3.3K]

Answer:

Option (b)

Step-by-step explanation:

Let the points represented by the given table lie on a line.

And the equation of the line is,

y = mx + b

Where m = slope of the line

b = y-intercept

Let the points lying on the line are (0, -2) and (3, -3)

Slope of the line 'm' = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m = \frac{-2-(-3)}{0-3}

m = \frac{-2+3}{0-3}

m = -\frac{1}{3}

y-intercept 'b' = (-2)

Equation of the line is,

y = -\frac{1}{3}x-2

This equation matches with equation given in option (b).

Option (b) will be the answer.

7 0
4 years ago
Answer fast please and thank you!
katrin [286]

Step-by-step explanation:

everything can be found in the picture

7 0
3 years ago
In the diagram, △ABC∼△DEF. The area of △ABC is 180 square centimeters. Find the area of △DEF.
Alexeev081 [22]

Answer:

20

Step-by-step explanation:

The first step is to find out the similarity reason of the sides of the triangle, so we just divide the big side by the small side (12/4=3).

Now, for the similarity reason of the areas, we just square that number (3^2=9).

Then we just divide the area of the big triangle by 9, which is 180/9= 20.

4 0
3 years ago
Read 2 more answers
What is the length of the unknown side?
777dan777 [17]

Answer:

Hi there!

The correct answer is: 20

Step-by-step explanation:

knowing this a right triangle you can solve this problem in two ways

Method One: Pythagorean Theorem

a^2 + b^2 = c^2 then plug in the values

(12)^2 + (16)^2 = c^2 this will come out to be 400 = c^2

square root both sides and you get c = 20

Method Two: Pythagorean Identities

if you ever learned the Pythagorean identity 3,4,5

this triangle is indeed a 3,4,5 triangle it's just that each side is multiplied by the factor 4

so in this case since you know the missing side should be 5 you just multiply 5 by 4 and you get 20

 

4 0
3 years ago
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