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Vlada [557]
2 years ago
12

X+y+z=-6 x-y+3z=-18 2x+2y+2z=-8

Mathematics
2 answers:
Temka [501]2 years ago
3 0

Answer:

Step-by-step explanation:

hello :

the system is : x+y+z=-6.....(1)

                      x-y+3z=-18.....(2)

                   2x+2y+2z=-8.....(3)

use (3): 2(x+y+z) = - 8    so : x+y+z = -4

use (1) : x+y +z = -6          -6=-4 false

no solutions

valina [46]2 years ago
3 0

ANSWER: Given the system of equations, there are no solutions.

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Find the solution to the system of equations -3x-9y=18 4x+3y=12
chubhunter [2.5K]

Answer:

(6,-4)

Step-by-step explanation:

-3x-9y = 18 (equation 1)

4x+3y = 12 (equation 2)

multiply equation 2 by 3, and add it to equation 2

-3x-9y = 18

12x+9y = 36

-----------------

X's cancel out

9x = 54

Divide both sides by 9

x = 6

Plug in 6 for x in any of the original equations

(Plugging into Equation 2)

4(6)+3y = 12       Multiply 4(6)

24+3y = 12         Subtract 24 from both sides

3y = -12              Divide 3 on both sides

y = -4

Therefore the solution is (6,-4).

6 0
3 years ago
A rectangular banner has a length that is two feet shorter than twice its height, ℎ. If the expression ℎ(2ℎ−2) represents the ar
densk [106]

Answer:

h = 6

Step-by-step explanation:

Given he area of the banner expressed as;

A =  ℎ(2ℎ−2)

h is the height of the banner

A is the area = 60

Substitute

60 =  ℎ(2ℎ−2)

60 = 2h² - 2h

30 = h² - h

h²-h-30 = 0

Factorize;

h²-6h+5h-30 = 0

h(h-6)+5(h-6) = 0

(h-6)(h+5) = 0

h - 6 = 0 and h+5 = 0

h = 6 and -5

Since the height cannot be negative;

h = 6

Hence he height of the banner is 6

3 0
3 years ago
This triangle is a multiple of one of the triples listed here. What is the hypotenuse?
stiv31 [10]

Answer:

50 units

Step-by-step explanation:

you use Pythagorean-theorem  which means A^2+B^2 =C^2

It does not matter the order of A and B because it is adding. But C is the hypotenuse.

If we plug in the # this is what it looks like...

14^2 +48^2=C^2

        or

48^2+14^2=C^2

14*14= 196

48*48=2,304

then you add

196+2,304=C^2

2,500= C^2

and you can use a calculator for this part you do 2,500

with the 2,500 you use the sign as in the picture and it gives you...

50

which means 50*50 = 2,500

5 0
2 years ago
Read 2 more answers
Please help I’ll give brainliest
Natali [406]

Answer:

3675

Step-by-step explanation:

4 0
3 years ago
A rock is thrown vertically upward from the surface of an airless planet. It reaches a height of s = 120t - 4t2 meters in t seco
12345 [234]

Answer:

Step-by-step explanation:

Given that a rock is thrown vertically upward from the surface of an airless planet. It reaches a height of s(t) = 120t - 4t^2

where t is expressed in seconds

The rock goes upto a height where the velocity becomes 0 and then it starts falling down by gravity

Velocity at time t = s'(t) = 120-8t

This becomes 0 when t =15 seconds

Hence at 15th second the rock starts falling and upto

s(15) = 120(15)-4(15^2)\\= 900 metres high it goes

The time taken to reach highest point is = 15 seconds.

6 0
3 years ago
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