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vovangra [49]
3 years ago
9

9.

Mathematics
1 answer:
notsponge [240]3 years ago
3 0

Answer:

B) x = 2, y = 3, z = 5

Step-by-step explanation:

3x −2y + 4z = 20

3(2) - 2(3) + 4(5) = 20

20 = 20

−x + 5y +12z = 73

-2 + 5(3) + 12(5) = 73

73 = 73

x + 3y −2z = 1

2 + 3(3) - 2(5) = 1

1 = 1

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How many triangles will there be in the 7th term of the following sequence?
nikitadnepr [17]
The answer is number 3.
4 0
2 years ago
Help me please ;-;!!!!! Use a coordinate grid to create a map of a town with at least five different locations, such as a house,
Sholpan [36]
A. Our diagram have six location: my house (2,1), a movie theater (5,3), the school (6,6), the police station (3,-2), the airport (-3,3), and the mall (-2,-3)

B. Distance between my house and the movie theater:
To calculate the distance we are going to use the points (2,1) and (5,3) to create a right triangle with tow legs of measures 3 and 2; the hypotenuse of the right triangle will be the distance between my house and the movie theater.
Using the Pythagorean theorem:
d^2=3^2+2^2
d^2=9+4
d^2=13
d= \sqrt{13}
We can conclude that the distance between my house and the movie theater is \sqrt{13}

Our second distance is the distance between the police station and the airport:
This time we are using the points (3,-2) and (-3,3) to create a right triangle with legs of measures 6 and 5; the hypotenuse of our triangle will be the the distance between our points:
d^2=6^2+5^2
d^2=36+25
d^2=61
d= \sqrt{61}
We can conclude that the distance between the police station and the airport is \sqrt{61}

C. Distance form the park to the Fire Station:
d^2=3^2+1^2
d^2=9+1
d^2=10
d= \sqrt{10}
We can conclude that the distance from the park to the Fire Station is \sqrt{10}

Distance from the stadium to the mall:
d^2=2^2+1^2
d^2=4+1
d^2=5
d= \sqrt{5}
We can conclude that the distance from the stadium to the mall is \sqrt{5}

D. What is the distance between your house and the mall?
Answer:
d^2=4^2+4^2
d^2=16+16
d^2=32
d= \sqrt{32}
d=4 \sqrt{2}
We can conclude that the distance between my house and the mall is 4 \sqrt{2}

What is the distance between the movie theater and the school?
answer:
d^2=3^2+1^2
d^2=9+1
d^2=10
d= \sqrt{10}
We can conclude that the distance between the movie theater and the school is \sqrt{10}

7 0
3 years ago
Write an equasion of the line in point-slope form that passes through the points (-16, 8) (4,2)
xeze [42]
You start by finding the slope :  y2 - y1 / x2 - x1

                                                 2 - 8 /  4 - (-16)
                                                   
                                                  - 6 / 20
                      
                                           m =  - 3 / 10 

Point slope form :  y - y1 = m( x- x1 )

           You can pick either of the coordinates and substitute them in

 POINT SLOPE FORM EQUATION   : y - 8 = -3/10 ( x + 16 )

5 0
3 years ago
Could you help me with this question
mariarad [96]

Answer:

180 degree angles.

Step-by-step explanation:

180 degree angles are straight lines.

3 0
3 years ago
Please help!!!!!!!!!!!!
almond37 [142]
It’s either B or C, I’m not really sure
7 0
3 years ago
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