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maria [59]
2 years ago
5

100 POINTS!!!

Mathematics
1 answer:
ioda2 years ago
4 0

Answer:  A. Standard Form

Standard form is Ax+By = C, where A,B,C are integers

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Write the equation of a line perpendicular to 5x – 4y = - 3 that passes through the point (-5,2).
kolezko [41]

Answer: 5y + 4x = - 10

Step-by-step explanation:

Two lines are said to be perpendicular if the product of their gradients = -1.

If the gradient of the first line is m_{1} and the gradient of the second line is m_{2} , if the lines are perpendicular, them

m_{1} x m_{2} = -1 , that is

m_{1} = \frac{-1}{m_{2} }

The equation of the line given is 5x - 4y = -3 , we need to write this equation in slope - intercept form in order to find the slope.

The equation in slope -intercept form is given as :

y =mx + c , where m is the slope and c is the y - intercept.

Writing the equation in this form , we have

5x - 4y = + 3

4y = 5x -+3

y = 5x/4 + 3/4

comparing with the equation y = mx + c , then m_{1} = 5/4

Which means that m_{2} = -4/5 and the line passes through the point ( -5 , 2 ).

Using the equation of line in slope - point form  to find the equation of the line;

y - y_{1} = m ( x -  y_{1} )

y - 2 = -4/5 ( x +5)

5(y - 2 ) = -4 ( x + 5 )

5y - 10 = -4x - 20

5y + 4x = - 10

4 0
3 years ago
The length of a rectangle is 10 meters more than the width. If the perimeter is 184 meters, what are the length and the width?
Brilliant_brown [7]
Perimeter = (2 × Length) + (2 × Width)

If the length is dependent on the width (because the length is 10 more than the width), we can say that L = W + 10.

To find the answer to the Peri, we have to find out what the W is first.

184 = 2(W + 10) + 2W
184 = 2W + 20 + 2W
184 = 4W + 20
184 - 20 = 4W = 164
164 ÷ 4 = W
41 = W

We have found out width. Our length is W + 10, so L = 41 + 10 = 51

W = 41 and L = 51


3 0
3 years ago
Find the value of x​
Doss [256]

Answer:

46 degrees

Step-by-step explanation:

a kite shaped figure is made up of a total of 90 degrees so if you already have 44 degrees on one tip, then u subtract 90-44 to get 46

7 0
3 years ago
Use number sense to solve the equation. 3x + 14 = 23 A. 3 B. 6 C. 9 D. 4
Artist 52 [7]

Answer:

x=3

Step-by-step explanation:

3x + 14 = 23

3x=23-14

3x=9

x=9/3

x=3

option A is the correct answer

5 0
3 years ago
Which number can be written as a fraction and is therefore Rational?
djverab [1.8K]

Answer:

0.89898989.... is the correct answer

Fraction form: \frac{89}{99}

Step-by-step explanation:

0.89898989.... is the correct answer because it can be written as \frac{89}{99} in the simplest form. and 0.89898989.... is rational because it is a repeating number.

Any rational number is a number that can be written as a fraction, a repeating decimal, a whole number, an integer, etc. As long as the number is a number with infinite digits like π.

6 0
2 years ago
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