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lukranit [14]
3 years ago
6

4.

Mathematics
1 answer:
Hoochie [10]3 years ago
4 0

Answer:

4. No solution

Step-by-step explanation:

To solve a system of equations, find the (x,y) solution that satisfies both equations. One method that can be used is substitution. It is done by substituting one function into the other function and simplify.

Substitute y = 4x - 6 into 8x - 2y = 14.

8x - 2(4x - 6) = 14

8x - 8x + 12 = 14

12 = 14 FALSE

Since the variable was eliminated and a false statement was found, there is no solution to this system.

Solve 3 and 5 similarly. If the variable is eliminated again, but a true statement is fund then the solution is infinite. If the variable is not eliminated then substitute it back into one equation to find the other.

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maria [59]
Here you go!!! I hope this helps

7 0
3 years ago
Karen notices that segment BC and segment EF are congruent in the image below:
LenaWriter [7]

Answer:

Givens:

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  • BC \cong EF
  • \angle C \cong \angle F

Using this information we could recur to SAS postulate to demonstrate the congruence of this pair of triangles. We already have one side and one angle congruent, we just need to demonstrate that AC \cong DF, that will prove the complete congruence.

So, based on the given coordinates, we're able to calculate the length of each side and find if they are the same. We use this formula:

d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\d_{AC} =\sqrt{(0-(-2))^{2}+(3-2)^{2}}=\sqrt{4+1}=\sqrt{5}\\\\\d_{DF} =\sqrt{(0-2)^{2}+(2-1)^{2}}=\sqrt{4+1}=\sqrt{5}

Therefore, AC \cong DF, because they have the same length.

Now, based on these congruences:

  • BC \cong EF
  • \angle C \cong \angle F
  • AC \cong DF

We demonstrate by the Side-Angle-Side (SAS) postulate that ΔABC ≅ ΔDEF.

6 0
3 years ago
Please explain this to me ty​
spin [16.1K]

Answer:

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Step-by-step explanation:

8 0
3 years ago
Practice questions for a textbook are marked with difficulty levels of easy, Intermediate, and difficult. 30 of the 149 practice
Anna [14]
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5 0
3 years ago
g The following scatterplot shows the 20 top-selling cars with their weight on the horizontal axis and their miles per gallon (m
laiz [17]

scatterplot relating to the question is attached below.

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Step-by-step explanation:

From the picture of the scatter plot Given, it could be observed that the trend of the scatter points exhibits a negative gradient as the points on the graph slopes downward depicting that an inverse relationship exists between the two variables. With weight decreasing as miles per gallon increases. The relationship between the two variables depicted by the scatter plot is strong as the slope of the point is looks moderately steep.

7 0
3 years ago
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