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Viefleur [7K]
3 years ago
14

Write an equation for the line that is parallel to the given line and that passes through the given point.

Mathematics
1 answer:
Tom [10]3 years ago
3 0

Answer:

y - 11 = 7(x - 3)

y - 11 = 7x - 21

y = 7x -10

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The area of a parallelogram is 131.84 square centimeters and the base is 12.8 centimeters. What is the height of this parallelog
mylen [45]

Answer:

10.3cm

Step-by-step explanation:

h=A

b=131.84

12.8≈10.3cm

8 0
3 years ago
Find the value of k if: (2x − y)² − (2x + y)² = 4xyk​
Viefleur [7K]

Answer:

k = - 2

Step-by-step explanation:

( 2x - y )²

Formula : -

( a - b )² = a² + b² - 2ab

Here,

a = 2x

b = y

( 2x - y )²

= ( 2x )² + y² - 2 ( 2x ) ( y )

= 4x² + y² - 4xy

So,

( 2x - y )² = 4x² + y² - 4xy

( 2x + y )²

Formula : -

( a + b )² = a² + b² + 2ab

Here,

a = 2x

b = y

( 2x + y )²

= ( 2x )² + y² + 2 ( 2x ) ( y )

= 4x² + y² + 4xy

So,

( 2x + y )² = 4x² + y² + 4xy

( 2x - y )² - ( 2x + y )²

= 4x² + y² - 4xy - ( 4x² + y² + 4xy )

= 4x² + y² - 4xy - 4x² - y² - 4xy

= 4x² - 4x² + y² - y² - 4xy - 4xy

= 0 + 0 - 8xy

= - 8xy

( 2x - y )² - ( 2x + y )² = 4xyk

- 8xy = 4xyk

Divide 4xy on both sides,

- 8xy / 4xy = 4xyk / 4xy

- 2 = k

k = - 2

Therefore, the value of k is - 2.

6 0
2 years ago
→Can someone help me←
Airida [17]

Answer:

B.

Step-by-step explanation:

When written as proportions, the ratios of oranges to cups of juice are always equal.

8 0
3 years ago
A number y multiplied by —3 is less than
Aliun [14]

Answer:

-3y < -2/5

Step-by-step explanation:

Multiplied means times

-3y

is less than means <

-3y < -2/5

5 0
3 years ago
The graph of the function f(x) = x3 – 7x – 6 intersects the x-axis at the points (–2, 0), (–1, 0), and (3, 0) as shown. Which ex
Alisiya [41]
The x-axis intercepts are the roots of the polynomial. So, the roots are x = - 2, x = - 1 and x = 3.

Therefore, the polynomial can be factored as:

(x - (-2)) * ( x - (-1) ) * (x - 3) = (x + 2)(x + 1)(x - 3).

Answer: (x + 2) (x + 1) (x - 3)
5 0
3 years ago
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