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3 years ago

Rational Numbers:Question 7

Mathematics

1 answer:

nevsk [136]3 years ago

5 0

Answer:

<em>-5, -3 = Quadrant |||</em>

Step-by-step explanation:

-3, 5 = Quadrant ||

4, 2 = Quadrant |

2, -4 = Quadrant |||| (Quadrant |||| is also known as Quadrant IV)

<u><em>~ LadyBrain</em></u>

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Each side of the square below is 8 inches. A triangle inside of a square. The top of the triangle divides a side of the square i

dmitriy555 [2]

The probability that a point is chosen at random in the square is in the blue region is 0.8.

<h3>What is Probability?</h3>

The probability helps us to know the chances of an event occurring.

$\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

As we know that the area of the shaded region is the sum of the area of triangle A and the area of triangle B. Therefore, the area of the blue shaded region is,

$\text{Area of shaded region} = (\dfrac{1}{2} \times 8 \times 8) + (\dfrac{1}{2} \times 4 \times 8)$

$= (32) + (16)\\\\= 48\rm\ in^2$

The area of the square can be written as,

$\text{Area of Square} = \rm(Side)^2 = 8^2 = 64\ in^2$

Now, the probability that a point is chosen at random in the square is in the blue region can be written as,

$\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\$

$\rm Probability = \dfrac{\text{Area of blue region}}{\text{Area of square}}\\\\Probability = \dfrac{48}{60} = 0.8$

Hence, the probability that a point is chosen at random in the square is in the blue region is 0.8.

Learn more about Probability:

brainly.com/question/795909

8 0

2 years ago

Write the equation of the line perpendicular to y = x+ 5 that passes through the point ( -7,3).

Burka [1]

Answer:

y = - x - 4

Step-by-step explanation:

A line perpendicular to the line: y = x + 5

must have a slope that is the "opposite of the reciprocal" of the slope of the given line. Then the slope of the perpendicular line must be "-1".

Now that we know the slope of the perpendicular line, we use the point (-7, 3) to complete the equation of the line:

y = -1 x + b

3 = -1 (-7) + b

then we solve for "b":

3 = 7 + b

3 - 7 = b

b = -4

Now we can write the total equation of the perpendicular line in slope-intercept form as:

y = - x - 4

3 0

3 years ago

In Exercises use synthetic division to perform the indicated division. Write the polynomial in the form

Svet_ta [14]

The polynomial in the form p(x) = d(x)q(x) + r(x) is

p(x) = (x + 3)(4x - 17) + 54

Step-by-step explanation:

In synthetic division we equate the divisor by 0 to find the value of x

x + 3 = 0 ⇒ x = -3

Step 1 : Write down the coefficients of the f(x) , put x = -3 at the left

-3 4 -5 3

____________

Step 2 : Bring down the first coefficient to the bottom row.

-3 4 -5 3

________________

Step 3 : Multiply it by -3, and carry the result into the next column.

-3 4 -5 3

____-12________

Step 4 : Add down the column

-3 4 -5 3

____-12________

4 -17

Step 5 : Multiply it by -3, and carry the result into the next column

-3 4 -5 3

_____-12___51_____

4 -17

Step 6 : Add down the column

-3 4 -5 3

_____-12____51___

4 -17 54

The quotient is (4x - 17) and the remainder is 54

The factors of (4x² - 5x + 3) are:

d(x) = (x + 3) and q(x) = (4x - 17)

The remainder r(x) = 54

The polynomial in the form p(x) = d(x)q(x) + r(x) is

p(x) = (x + 3)(4x - 17) + 54

Learn more:

You can learn more about polynomial in brainly.com/question/12700460

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3 0

3 years ago

Clarence works at least 5 hours but not more than 7 hours. he earns $11.60 per hour. the function f(t)=11.6t represents the amou

Pavel [41]

Function: f(t) = 11.6 t

Restrictions: 5 ≤ t ≤ 7

Domain: possible values of t: all real values between 5 and 7 inclusive

Range: possible values of f(t): from 11.6 * 5 to 11.6 *7 = from 58 to 81.2, inclusive.

Answer:

the practical domain is all real numbers from 5 to 7, inclusive. and the practical range is all real numbers from 58 to 81.2

4 0

3 years ago

Read 2 more answers

What is the common ratio for the geometric sequence?−15, −9, −2/75, −81/25, ... Enter your answer as a decimal.

Papessa [141]

Answer:

1412

Step-by-step explanation:1412

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4 years ago