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devlian [24]
3 years ago
10

Write the slope-intercept form of the equation of the line described. through: (5,2), parallel to y = 3

Mathematics
1 answer:
rewona [7]3 years ago
6 0

Answer:

<h3>               y = 2</h3>

Step-by-step explanation:

P=(5,\,2)\quad\implies\quad x_p=5\,,\quad y_p=2

The slope-intercept form the equation of the line:

y = mx + b

Two lines are parallel if they hav the same slope.

no x in given line means m = 0   ⇒   y = b

The line goes through P so:  y_p=b

2 = b

b = 2

so ithe equation of line parallel to given is:

                                                 y = 2

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Answer:

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Step-by-step explanation:

7 0
2 years ago
A kitchen measures 3.75 meters by 4.2 meters.
dalvyx [7]

Answer:

a. A_{(kitchen)}=15.75\ m^2

b. A_{(total)}=39.375\ m^2

Step-by-step explanation:

The formula for calculate the area of a rectangle is:

A=lw

Where "l" is the lenght and "w" is the width

a. We know that the kitchen measures 3.75 meters by 4.2 meters; then we can say that:

l=3.75\ m\\\\w=4.2\ m

Therefore, substituting these values into the formula, we get that the area of the kitchen is:

A_{(kitchen)}=(3.75\ m)(4.2\ m)=15.75\ m^2

b. The area of the living room is one and a half times (1.5 times) that of the kitchen, this is:

A_{(living)}=(1.5)(15.75\ m)=23.625\ m^2

Therefore, the total of the living room and the kitchen is:

A_{(total)}=15.75\ m^2+23.625\ m^2=39.375\ m^2

3 0
3 years ago
A system of equations and its solution are given below.
Fittoniya [83]
Answer: Option <span>C. To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by -3. The solution to system B will be the same as the solution to system A.

First equation of system A multiplied by -3:
(-3)(x+6y=5)
(-3)(x)+(-3)(6)=(-3)(5)
-3x-18=-15

Sum of the second equation of system A and the first equation multiplied by -3:
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System B
x+6y=5
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4 0
3 years ago
Read 2 more answers
Answer: 6/2(1+2)=.<br><br><br> explain:
Tcecarenko [31]

Answer:

9

Step-by-step explanation:

6/2(1+2)

6/2(3)

3(3)

9

I hope this helped! If so, please mark brainliest!

8 0
2 years ago
WHOEVER SOLVES ALL OF THEM WILL BE MARKED BRAINLIEST
Alenkasestr [34]

Answer:

1. A(1;5), B(10;23), slope of 2

2. A(10;9), B(4;0), slope of 1.5

3. A(-35/4;6), B(9;-35/6), slope of -2/3

4. A(5;18), B(25,22), slope of 0.2

5. A(2/9;1/3), B(2/3,-1/3), slope of -1.5

Step-by-step explanation:

Substitute values with correct variable and slopemis coefficient of x when x and y-int. are on 1 side, y is on other side and has coefficient of 1. Hope it works!

4 0
2 years ago
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