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3 years ago

What is the solution to the system of equations?

Mathematics

1 answer:

Leto [7]3 years ago

5 0

Answer:

(x, y) = (8, -1)
(x, y) = (7, 10.5)

Step-by-step explanation:

1. You can use the expression for y to substitute into the first equation:

2x +4(1/4x -3) = 12

2x +x -12 = 12 . . . . . . eliminate parentheses

3x = 24 . . . . . . . . . . . add 12; next divide by 3

x = 8 . . . . . matches choice C

2. You can use the expression for y to substitute into the second equation:

x -2(2x -3.5) = -14

-3x +7 = -14 . . . . . . eliminate parentheses

21 = 3x . . . . . . . . . . add 3x+14; next divide by 3

7 = x . . . . . matches the third choice

_____

When the answer choices are sufficiently different, you only need to find one value to determine which is the correct choice. (If you want to check your work further, you can substitute the other answer value into the two equations to see if it works.)

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Juli2301 [7.4K]

Focus on the top line angles for now.

Those two angles combine to the straight angle ABC, which is 180 degrees.

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We'll use this x value to find that:

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angle BEF = 5x-55 = 5*35-55 = 175-55 = 120 degrees

Angles YBC and BEF are corresponding angles (they are both in the northeast corner of their respective four-corner angle configuration). They are both 120 degrees. Since we have congruent corresponding angles, we have effectively proven that AC is parallel to DF. Refer to the converse of the corresponding angles theorem.

The regular version of the "corresponding angles theorem" says that if two lines are parallel, then the corresponding angles are congruent. The converse reverses the logic of the conditional statement. Meaning that if the corresponding angles are congruent, then the lines are parallel.

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2 years ago

Read 2 more answers

What is a polynomial

vfiekz [6]

A polynomial is a collection of terms that are separated by a plus or a minus sign. There a few types of polynomials.

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3 years ago

Which expressions are equivalent to the given sort 40 (there is more than one and the one selected is correct)

Basile [38]

Answer:

$40 {}^{ \frac{1}{2} }$

Step-by-step explanation:

The last one is also the answer

Using the rational exponet rule,

$\sqrt[n]{ {x}^{m} } = x {}^{ \frac{m}{n} }$

Using this number,

$\sqrt{40}$

40 is the base so it will stay same. Remember this is a square root sign so our nth root is 2 so our denominator if the rational exponet is 2.

$40 {}^{1} = 40$

so our numerator is 1 so

$40 {}^{ \frac{1}{2} }$

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3 years ago

Kyra was building a bed for her dollhouse. She used her bed, which is 4 feet × 5 feet, as a guide. She scaled down the dimension

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3 years ago

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kherson [118]

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3 years ago

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