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KengaRu [80]
3 years ago
8

Choose the missing step in the given solution to the inequality -2x-14>-4+3x

Mathematics
2 answers:
Komok [63]3 years ago
6 0

Answer:

x

Step-by-step explanation:

The given inequality is

-2x-14>-4+3x

We need to solve the above inequality.

Step 1: Given inequality.

-2x-14>-4+3x

Step 2: Add 14 on both sides.

-2x-14+14>-4+3x+14

-2x>10+3x

Step 3: Subtract 3x from both sides.

-2x-3x>10+3x-3x

-5x>10

Step 4: Divide both sides by -5. If an inequality is multiplied or divided by a negative number then the sign of inequality will change.

\frac{-5x}{-5}  

x

Therefore, the solution of given inequality is x.

madreJ [45]3 years ago
4 0

Answer:

x \in (-\infty, -2)            

Step-by-step explanation:

We have to find the solution of the given inequality.

-2x - 14 > -4 + 3x

The following steps can be followed to find the solution of the given inequality:

-2x - 14 > -4 + 3x\\-2x -3x-14 > -4 +3x-3x\\-5x -14 > -4\\-5x -14 +14 > -4 + 14\\-5x > 10\\x < -2\\\text{In interval notation, we can write}\\x \in (-\infty, -2)

x < -2 is the solution of the given inequality.

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riding find the length of the hypotenuse of the right triangle use pencil and paper explain how you can interpret the Pythagorea
noname [10]

Solution

Question 1:

- Use of the area of squares to explain the Pythagoras theorem is given below

- The 3 squares given above have dimensions: a, b, and c.

- The areas of the squares are given by:

\begin{gathered} \text{For square of length }a\to a^2 \\ \text{For square of length }b\to b^2 \\ \text{For square of length }c\to c^2 \end{gathered}

- The Pythagoras theorem states that:

"The sum of the areas of the smaller squares add up to the area of the biggest square"

Thus, we have:

c^2=a^2+b^2

Question 2:

- We can apply the theorem as follows:

\begin{gathered} 10^2+24^2=c^2 \\ 100+576=c^2 \\ 676=c^2 \\ \text{Take square root of both sides} \\  \\ c=\sqrt[]{676} \\ c=26 \end{gathered}

Thus, the value of c is 26

7 0
1 year ago
What are the solutions of the following equation?<br>4|x - 9| + 9 = -3|x - 9| + 9​
Stells [14]

Answer:

X=9

Step-by-step explanation:

8 0
2 years ago
Can you help me on both of this problems
AlekseyPX

Answer:

9. Option D, 2(3x + 5) and 6x + 10

10. 9 + 3 (10÷2) - 5² = -1

Hope this helps!

7 0
3 years ago
Read 2 more answers
You reflect the point ( -7, -6) across
Leokris [45]
Reflecting is pushing it across from one side to another.
The answer would be (7,6)
Sorry I'm late.
4 0
3 years ago
Find the area of the shape below
Eva8 [605]
Answer: 31.5

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8 0
2 years ago
Read 2 more answers
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