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Olin [163]
3 years ago
9

PT = 7x + 3 and TQ = 9x - 5

Mathematics
1 answer:
3241004551 [841]3 years ago
3 0

Answer:

Solution for 7x-3=9x+5 equation:

x = -4

Step-by-step explanation:

Simplifying

7x + -3 = 9x + 5

Reorder the terms:

-3 + 7x = 9x + 5

Reorder the terms:

-3 + 7x = 5 + 9x

Solving

-3 + 7x = 5 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.

-3 + 7x + -9x = 5 + 9x + -9x

Combine like terms: 7x + -9x = -2x

-3 + -2x = 5 + 9x + -9x

Combine like terms: 9x + -9x = 0

-3 + -2x = 5 + 0

-3 + -2x = 5

Add '3' to each side of the equation.

-3 + 3 + -2x = 5 + 3

Combine like terms: -3 + 3 = 0

0 + -2x = 5 + 3

-2x = 5 + 3

Combine like terms: 5 + 3 = 8

-2x = 8

Divide each side by '-2'.

x = -4

Simplifying

x = -4

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Anuta_ua [19.1K]

Answer:

M\leq -68

Step-by-step explanation:

This inequality is quite simple to solve.

Just multiply both sides by four and you have your answer:

4*(1/4m)\leq4*-17

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Hope this helps!

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What is the probability that a point chosen at random in the given figure will be inside the larger square and outside the small
liraira [26]

Answer:

  • 51/100

Step-by-step explanation:

<em>The probability that a point chosen at random in the given figure will be inside the larger square and outside the smaller square</em> is equal to the ratio of the area of interest to the total area:

<em>P(inside larger square and outside smaller square)</em> = area of interest / total area

<em>P(inside larger square and outside smaller square)</em> = area inside the larger square and outside the smaller square / area of the larger square

<u>Calculations:</u>

<u />

1. <u>Area inside the larger square</u>: side² = (10 cm)² = 100 cm²

2. <u>Area inside the smaller square </u>= side² = (7cm)² = 49 cm²

3. <u>Area inside the larger square and outside the smaller square</u>

  • 100 cm² - 49 cm² = 51 cm²

4.<u> P (inside larger square and outside smaller squere)</u>

  • 51 cm² / 100 cm² = 51/100
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