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3 years ago

Which point is located on the line represented by the equation y + 2 = –5(x – 8)?

Mathematics

1 answer:

diamong [38]3 years ago

6 0

Answer:

Answer: (8, 2)

${ \tt{y + 2 = - 5(x - 8)}}$

• when x is 2

${ \tt{y + 2 = - 5(2 - 8)}} \\ { \tt{y + 2 = - 10 + 40}} \\ { \tt{y + 2 = 30}} \\ { \tt{y = 28}}$

• when y is 2

${ \tt{2 + - 2 = - 5(x - 8)}} \\ { \tt{0 = - 5x + 40}} \\ { \tt{x = 8}}$

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PLEASE HELP! The formula F = 95C + 32, where C stands for temperature in degrees Celsius, is used to convert Celsius to Fahrenhe

Masteriza [31]

The temperature is 86°F when the temperature is 30°C.

Step-by-step explanation:

Formula for Celsius to Fahrenheit;

F = $F=\frac{9}{5}C+32$

Where C stands for temperature in degrees Celsius.

Given,

Temperature in Celsius = 30 degrees

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3 years ago

Find the shortest side of a triangle whose perimeter is 64 if the ratio of two of its sides is 4:3 and the third side is 20 less

Sergio039 [100]

Answer:

The shortest side of the triangle is 18

Step-by-step explanation:

Let the sides the triangle be x, y and z.

From the question, the perimeter of the rectangle is 64, that is

x + y + z = 64 ...... (1)

Also, the ratio of two of its sides is 4:3, that is x:y = 4:3, then we can write that x/y = 4/3 ⇒ 3x = 4y ...... (2)

The third side, z, is 20 less than the sum of the other two, that is

z + 20 = x + y ...... (3)

Substitute equation (3) into (1)

Then,

z + 20 + z = 64

2z +20 = 64

2z = 64 - 20

2z = 44

z = 44/2 k

z = 22

From equation (3)

z + 20 = x + y

Then, k

22 + 20 = x +y

42 = x + y

x = 42 - y ...... (4)

Substitute this into equation 2

3x = 4y

3(42-y) = 4y

126 - 3y = 4y

4y + 3y = 126

7y = 126

y = 126/7

y = 18

Substitute this into equation (4)

x = 42 - y

x = 42 - 18

x = 24

∴ x = 24, y = 18 and z = 22

Hence, the shortest side of the triangle is 18.

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3 years ago

What is the multiplicative identity matrix? What is it similar to in the set of real numbers? Explain your answer

bagirrra123 [75]

Answer:

An identity matrix, is a matrix that have '1' in the main diagonal. All of the other terms are '0'. When you multiply any matrix by the identity matrix, the result is the same matrix that you multiplied.

Example:

$\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]$

In the set of the real number is the same that the application of identity property.

Every number multiplied by 1 es the same number.

Step-by-step explanation:

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3 years ago

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Rina8888 [55]

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