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olga nikolaevna [1]
2 years ago
12

12x+15y=-45 put into slope-intercept form, simplify all fractions.

Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
7 0

Answer:

y = -4/5 x - 3

Step-by-step explanation:

15y = -45 - 12x

5y = -15 - 4x

y = -4/5 x - 3

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Find the set of values of k for which the equation 2x2 - 10x + 8 = kx has no real root
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Step-by-step explanation:

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3 years ago
riangle A″B″C″ is formed using the translation (x + 0, y + 2) and the dilation by a scale factor of 2 from the origin. Which equ
Shtirlitz [24]

The relationship between segment AC and segment A double prime C double prime is AC = A''C'' /2.

<h3>What is a Scale Factor ?</h3>

The ratio by which the new image is bigger or smaller than the original image is the scale factor.

It is given that

Triangle A″B″C″ is formed using the translation (x + 0, y + 2)

and the dilation by a scale factor of 2 from the origin.

coordinate plane with triangle ABC at A (- 3,  3), B (1, - 3), and C (- 3, -3).

segment AC is equal to A''C'' over 2

Scale factor = 2

The coordinates are

A (- 3,  3), B (1, - 3), and c (- 3, -3) is translated using  (x + 2, y + 0),

new coordinates

A'(- 1,  3), B'(3, - 3), and C'(- 1, -3).

The dilation by a scale factor of from the origin

A″ (-2, 6), B″ (6, -6) and C″(-2, -6)

By the distance formula

AB = \rm \sqrt {52}

A''B'' = \rm \sqrt{ 8^2 + 12^2}\\ = 2 \rm \sqrt {52}

Therefore

AB = A''B'' /2

Similarly AC = A''C'' /2

The relationship between segment AC and segment A double prime C double prime is AC = A''C'' /2.

To know more about Scale Factor

brainly.com/question/22312172

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6 0
2 years ago
Aaron is staying at a hotel that charges $99.95 per night plus tax for a room. A tax of 7% is applied to the room rate, and an a
Serjik [45]

Answer: $543.7325

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room rate = $99.95 / night

Tax fee = 7% of room rate

Therefore, tax fee = 7% of $99.95

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Room charge =[$99.95 + 0.07($99.95)]

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Additional onetime untaxed fee = $9

Therefore for 5 nights :

Room charge = 5×[1.07($99.95)] +

Total room charge = 5×[1.07($99.95)] + one time untaxed fee

Total room charge = 5×[1.07($99.95)] + $9

= $543.7325

7 0
3 years ago
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