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mixer [17]
3 years ago
8

Given the equation 5x+23=-2x-12, which order of operations completely solves for x

Mathematics
2 answers:
Nadya [2.5K]3 years ago
5 0

Answer:

x = - 5

Step-by-step explanation:

5x + 23 = - 2x - 12 ( add 2x to both sides )

7x + 23 = - 12 ( subtract 23 from both sides )

7x = - 35 ( divide both sides by 7 )

x = - 5

Tresset [83]3 years ago
3 0
Answer: 5

Solution,

5x+23=-2x-12
or, 5x+23+2x=-12
or, 5x+2x=-12-23
or, 7x=35
or, x=35/7
Therefore, x=5
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Can I get some help ???
Nikitich [7]

Answer is D. <em><u>288</u></em> . i am glad to help

4 0
3 years ago
Circle A has a diameter of approximately 20 inches and an area of approximately 300 in2.
Katena32 [7]

Answer:

4. About 2,700 in2

Step-by-step explanation:

The area of a circle (A), measured in square inches, is directly proportional to the square of its diameter (d), measured in inches. That is:

A \propto d^{2}

A = k\cdot d^{2}

Where k is the constant of proportionality, dimensionless.

In consequence, the following relationship between circles A and B is obtained:

\frac{A_{B}}{A_{A}} = \frac{d_{B}^{2}}{d_{A}^{2}}

The area of the circle B is now cleared:

A_{B} =\left(\frac{d_{B}}{d_{A}} \right)^{2}\cdot A_{A}

Given that d_{A} = 20\,in, d_{B} = 60\,in and A_{A} = 300\,in^{2}, then:

A_{B} = \left(\frac{60\,in}{20\,in} \right)^{2}\cdot (300\,in^{2})

A_{B} = 2700\,in^{2}

Therefore, the correct answer is 4.

7 0
3 years ago
Triangle BAC was rotated 90° clockwise and dilated at a scale factor of 2 from the origin to create triangle XYZ. Based on these
ANEK [815]

Answer:

The correct option is;

∠A ≅ ∠X

Step-by-step explanation:

The given coordinates of the points of triangle ACB are;

A(-4, 4), C(-1, 3), B(-4, 0)

The given coordinates of the points of triangle XYZ are;

X(0, 8), Y(8, 8), Z(6, 2), therefore, we have

The length. l. of segment is given by the following formula;

l = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}

For the length of the segment AC; (x₁, y₁) = (-4, 4), (x₂, y₂) = (-1, 3), l = √(10)

For the length of the segment AB; (x₁, y₁) = (-4, 4), (x₂, y₂) = (-4, 0), l = 4

For the length of the segment BC; (x₁, y₁) = (-4, 0), (x₂, y₂) = (-1, 3), l = 3·√2

For the length of the segment XY; (x₁, y₁) = (0, 8), (x₂, y₂) = (8, 8), l = 8

For the length of the segment XZ; (x₁, y₁) = (0, 8), (x₂, y₂) = (6, 2), l = 6·√2

For the length of the segment ZY; (x₁, y₁) = (6, 2), (x₂, y₂) = (8, 8), l = 2·√(10

Therefore;

XY ~ AB, XZ ~ BC, ZY ~ AC

Which gives;

∠A ≅ ∠X, ∠B ≅ ∠Y, ∠C ≅ ∠Z

8 0
3 years ago
Read 2 more answers
What is the area<br> of the triangle?
elixir [45]
Area are all sides multiplied the formula can be found online
3 0
3 years ago
Solve for x<br><br> x^2-3x+2=0
cricket20 [7]

Answer:

x=1,2

Step-by-step explanation:

x^2-3x+2=0

(x-1)(x-2)

x-1=0

x-2=0

x=1,2

6 0
3 years ago
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