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scZoUnD [109]
3 years ago
5

The area of the composite figure is ______ square millimeters.

Mathematics
1 answer:
leonid [27]3 years ago
3 0

Answer:

i believe its 110mm

Step-by-step explanation:

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Write in point slope form an equation of the line through each pair of points:
EastWind [94]

Step-by-step explanation:

1.) (-2, 3) and (2, 9)

let (-2, 3) be (x1,y1) and (2, 9) be (x2,y2)

slope (m)=<u>y2-y1</u>

x2-x1

=<u>9</u><u>-3</u>

2-(-2)

=<u>9</u><u>-3</u>

2+2

=<u>6</u>

4

=<u>3</u>

2

2.) (0, 7) and (3, 5)

let (0,7) be (x1,y1) and (3,5) be (x2,y2)

slope (m)=<u>y2-y1</u>

x2-x1

=<u>5-7</u>

3-0

=<u>-2</u>

3

3.) (-2, -3) and (2, -1)

let (-2, -3) be (x1,y1) and (2, -1) be (x2,y2)

slope (m)=y2-y1

x2-x1

=-1-(-3)

2-(-3)

=1+3

2+3

=4

5

4.) (-5, -2) and (-3, 8)

let (-5,-2) be (x1,y1) and (-3,8) be (x2,y2)

slope (m)=<u>y2-y1</u>

x2-x1

=<u>8-(-2)</u>

-3-(-5)

=<u>8+2</u>

-3+5

=<u>10</u>

2

=5

5.) (-12, 20) and (-21, 29)

let (-12,20) be (x1,y1) and (-21,29) be (x2,y2)

slope (m)=<u>y2-y1</u>

x2-x1

=<u>29-20</u>

-21-(-12)

=<u>29-20</u>

-21+12

=<u>9</u>

-9

=-1

6.) (11, 8) and (-2, -3)

let (11,8) be (x1,y1) and (-2,-3) be (x2,y2)

slope (m)=<u>y2-y1</u>

x2-x1

=<u>-3-11</u>

-2-8

=<u>-8</u>

-10

=<u>4</u>

-5

3 0
3 years ago
-2 2/5 multiplied by 4 3/8
IRISSAK [1]

Hope the attachment helps

4 0
3 years ago
Read 2 more answers
What two numbers will you add together that will give 32 and when you multiply it will give 48
motikmotik

Answer:

the two numbers are 30 and 2

Step-by-step explanation:

form two equations ie. a+b=32

a*b=48

express b in terms of a ie. b=32-a

substitute that equation to the equation a*b=48

to form a*(32-a)=48

open the brackets to get 32a-a^2 =48

using the quadratic formula

round off your answer to get 30 and 2

4 0
3 years ago
2x+5<br> ---------<br> x+1<br> hãy giupd tôi
irinina [24]

2x+5

x+1

2+3.......

x+1

8 0
3 years ago
Read 2 more answers
Solve the following systems by graphing.<br> 1. x + 2y = 4<br> 2x -y = 3
valina [46]

<u>Given</u>:

The system of linear equations are x+2y=4 and 2x-y=3

We need to determine the solution to the system of equations by graphing.

<u>Graphing the equation </u>x+2y=4<u>:</u>

To graph the equation x+2y=4, let us determine the x and y intercepts.

x - intercept: When y = 0, then x+2(0)=4 \implies x=4

y - intercept: When x = 0, then 0+2y=4 \implies y=2

The coordinates are (4,0) and (0,2)

Thus, the joining the coordinates of x and y intercept, we get the line for the equation x+2y=4

<u>Graphing the equation </u>2x-y=3<u>:</u>

To graph the equation 2x-y=3, let us determine the x and y intercepts.

x - intercept: When y = 0, then 2x-0=3 \implies x=-1.5

y - intercept: When x = 0, then 2(0)-y=3 \implies y=-3

The coordinates are (-1.5,0) and (0,-3)

Thus, joining the coordinates of x and y intercepts, we get the line for the equation 2x-y=3

<u>Solution:</u>

The solution of the two equations is the point of intersection of two lines in the graph.

Let us determine the solution using substitution method.

Substituting x=4-2y in the equation 2x-y=3, we get;

2(4-2y)-y=3

    8-4y-y=3

          8-5y=3

             -5y=-5

                  y=1

Thus, the value of y is 1.

Substituting y=1 in the equation 2x-y=3, we have;

2x-1=3

     2x=4

       x=2

Thus, the value of x is 2.

Therefore, the solution of the system of equations is (2,1)

6 0
3 years ago
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