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antoniya [11.8K]
2 years ago
9

Given 2x - 9y - 12 = 0, express 5x - 4y + 7 = 0 in terms of x only

Mathematics
1 answer:
olga2289 [7]2 years ago
5 0

Answer:

4 \frac{1}{9}x + 12\frac{1}{3} = 0

Step-by-step explanation:

Based on 2x - 9y - 12 = 0

-9y = 12 - 2x

9y = -12 + 2x

y = -1\frac{1}{3} + \frac{2}{9} x

Therefore...

5x - 4y + 7 = 0

5x - 4(-1\frac{1}{3} + \frac{2}{9} x) + 7 = 0

5x + 5\frac{1}{3}  - \frac{8}{9} x + 7 = 0

4 \frac{1}{9}x + 12\frac{1}{3} = 0

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In a football tournament, the Bees scored 9 less than three times as many points as the Hornets. The Wasps scored 28 more points
Elina [12.6K]

Given:

Bees scored 9 less than three times as many points as the Hornets.

Wasps scored 28 more points than the Hornets.

Together the three teams scored 184 points.

To find:

The required equation for this scenario.

Step-by-step explanation:

Let x represent the number of points scored by the Hornets.

Bees scored 9 less than three times as many points as the Hornets.

Bees score = 3x-9

Wasps scored 28 more points than the Hornets.

Wasps score = x+28

Together the three teams scored 184 points.

(3x-9)+x+(x+28)=184

Therefore, the required equation is (3x-9)+x+(x+28)=184.

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3 years ago
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Answer:

-18

Step-by-step explanation:

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On a coordinate plane, triangle A B C is shifted 4 units to the right and 2 units up to form triangle A prime B prime C prime. I
zheka24 [161]

Answer:

(x, y) ⟶ (x + 4, y + 2)  

Step-by-step explanation:

If you shift a point four units to the right, x ⟶ x + 4.

If you shift it up two units, y ⟶ y + 2.

If you combine the two shifts into one transformation, the rule becomes

(x, y) ⟶ (x + 4, y + 2)

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Achemistry journal requires that all new research papers be peer reviewed by other scientists before they are published. This
gavmur [86]

Answer:

The reviewers can determine the experiment's feasibility.

Step-by-step explanation:

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Answer:

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