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3 years ago

I have to solve each system algebraically y = x -8 y=5x

Mathematics

2 answers:

stiv31 [10]3 years ago

8 0

Answer:

X= -2 and Y= -10

Step-by-step explanation:

I don't know what you are asking on this one but i hope that me finding the value of X and Y helps you.

Dmitry [639]3 years ago

3 0

Answer:

x=-2, y=-10

Step-by-step explanation:

Since both equations are equal to y, we can set them equal to each other and solve

x-8=5x

Subtract x from both sides

-8=4x

Divide both sides by 4

x=-2

Next, we need to find a y

Substitute -2 in for x in one of the equations and solve

y=5x

y=5*-2

y=-10

x=-2, y=-10

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20 points!!!!!!!

castortr0y [4]

See the attached figure to better understand the problem
let
L-----> length side of the cuboid
W----> width side of the cuboid
H----> height of the cuboid

we know that
One edge of the cuboid has length 2 cm-----> I'll assume it's L
so
L=2 cm
[volume of a cuboid]=L*W*H-----> 2*W*H
40=2*W*H------> 20=W*H-------> H=20/W------> equation 1

[surface area of a cuboid]=2*[L*W+L*H+W*H]----->2*[2*W+2*H+W*H]

100=2*[2*W+2*H+W*H]---> 50=2*W+2*H+W*H-----> equation 2
substitute 1 in 2
50=2*W+2*[20/W]+W*[20/W]----> 50=2w+(40/W)+20
multiply by W all expresion
50W=2W²+40+20W------> 2W²-30W+40=0

using a graph tool------> to resolve the second order equation
see the attached figure

the solutions are
13.52 cm x 1.48 cm
so the dimensions of the cuboid are
2 cm x 13.52 cm x 1.48 cm
or
2 cm x 1.48 cm x 13.52 cm

Find the length of a diagonal of the cuboid
diagonal=√[(W²+L²+H²)]------> √[(1.48²+2²+13.52²)]-----> 13.75 cm

the answer is
the length of a diagonal of the cuboid is 13.75 cm

4 0

3 years ago

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olga nikolaevna [1]

Standard Form: 79,031

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Mrrafil [7]

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insens350 [35]

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