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3 years ago

What is the missing x-value if (x,1) is a solution of 2x-y=5?

1 answer:

8 0

Equation of 2x-y= 5 where we know the y value from (x,1)

We substitute the y value in the equation to get the x value easily

2x-1= 5
2x = 5 + 1
2x = 6
x = 3 (divide both side by 2)

Answer x = 3 when y = 1

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Your friend says that the solutions to the inequality 5x - 14x < - 18 are x ≤2. Solve the inequality correctly. What error di

katrin2010 [14]

<h3>Answer: x > 2</h3>

Work Shown:

5x - 14x < - 18

-9x < - 18

x > -18/(-9)

x > 2

The inequality sign flips when dividing both sides by a negative number.

Here's another approach you could take.

5x - 14x < - 18

-9x < -18

0 < -18+9x

18 < 9x

9x > 18

x > 18/9

x > 2

It's a slightly longer pathway, but it avoids a sign flip when you divide both sides by the positive number 9.

The sign flip happens two steps earlier when going from 18 < 9x to 9x > 18. In other words, A < B is the same as B > A.

6 0

2 years ago

If Pentagon ABCDE was dilated to create Pentagon A'B'C'DE', what rule was used?

svetlana [45]

Answer:

<em>B</em> $(x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)$

Step-by-step explanation:

<u>Dilations</u>

Given a point A(x,y) and a scale factor k the dilated image of A, called A' is calculated as A'=(kx,ky), assuming the same scale factor is applied in both axes.

The pentagon ABCDE was dilated to create pentagon A'B'C'D'E'. To find the dilaton rule used, we must find two clear points where the coordinates of both axes can be easily read from the graph.

Point C(-2,0) maps to C'(-5,0). This gives us the scale factor for the x-axis of -5/(-2)= 5/2.

The y-coordinate of E is 2 and the y-coordinate of E' is 5. This gives us the same scale factor for the y-axis of 5/2.

Thus, the rule to dilate the pentagon is:

B $\mathbf{(x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)}$

5 0

3 years ago

Can someone explain how I multiply both sides ?

stellarik [79]

Answer:

x=3

Step-by-step explanation:

Given,

1 = 1/(x-2)

Multiply both sides by (x-2),

1*(x-2) = 1/(x-2) * (x-2)

x-2 = 1

Adding 2 on both sides,

x-2+2 = 1+2

x = 3

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2 years ago

Divide 33 photos into two groups so the ratio is 4 to 7.

MrRissso [65]

33 divided by 2= 16.5

3 0

3 years ago

Please solve with explanation 20 points

Lapatulllka [165]

Answer: D

Step-by-step explanation: start at y-axis and go over 5, down 1 since its a -1.

8 0

3 years ago