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bagirrra123 [75]
3 years ago
6

PLEASE HELP ASAP 35 PTS + BRAINLIEST TO RIGHT/BEST ANSWER

Mathematics
1 answer:
Semenov [28]3 years ago
3 0

Answer:

(5,2,2)

Step-by-step explanation:

-3x+4y+2z = -3

2x-4y-z=0

y = 3x-13


Multiply the second equation by 2

2*(2x-4y-z)=0*2

4x -8y -2z =0

Add this to the first equation to eliminate z

-3x+4y+2z = -3

4x -8y -2z =0

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

x -4y = -3

Take the third equation and substitute it in for y

x - 4(3x-13) = -3

Distribute the 4

x - 12x +52 = -3

Combine like terms

-11x +52 = -3

Subtract 52 from each side

-11x +52-52 = -3-52

-11x = -55

Divide by -11

-11x/-11 = -55/-11

x=5

Now we can solve for y

y =3x-13

y =3*5 -13

y = 15-13

y=2

Now we need to find z

2x-4y-z=0

2(5) -4(2) -z=0

10-8 -z=0

2-z=0

Add z to each side

2-z+z= 0+z

2=z

x=5, y=2, z=2

(5,2,2)

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Please help me thanks please
Ludmilka [50]

Answer: 3234 cubic units

Step-by-step explanation:

Volume of cylinder: πr²h

The diameter of the cylinder is 14 units so the radius is 7 units.

Now we'll substitute.

π = 22/7

h = 21

πr²h

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22/7 × 49 × 21 = 3,234

The volume is 3,234 cubic units.

6 0
3 years ago
50 students were asked what they did last night.
Vera_Pavlovna [14]

Answer:

A

Step-by-step explanation:

if they had watched tv or read a book it would've said so.

6 0
3 years ago
Some pls help me with number 6
Katyanochek1 [597]

Answer:

m∠CBD = m∠CDB ⇒ proved

Step-by-step explanation:

Let us solve the question

∵ AB ⊥ BD ⇒ given

→ That means m∠ABD = 90°

∴ m∠ABD = 90° ⇒ proved

∵ ED ⊥ BD ⇒ given

→ That means m∠EDB = 90°

∴ m∠EDB = 90° ⇒ proved

∵ ∠ABD and ∠EDB have the same measure 90°

∴ m∠ABD = m∠EDB ⇒ proved

∵ m∠ABD = m∠ABC + m∠CBD

∵ m∠EDB = m∠EDC + m∠CDB

→ Equate the two right sides

∴ m∠ABC + m∠CBD = m∠EDC + m∠CDB

∵ m∠ABC = m∠EDC ⇒ given

→ That means 1 angle on the left side = 1 angle on the right side, then

   the other two angles must be equal in measures

∴ m∠CBD = m∠CDB ⇒ proved

5 0
3 years ago
True of false a - b = a - (-b)
zmey [24]

Answer:

False

Step-by-step explanation:

a - (-b) would make it a + b

negative and negative equals positive

positive and positive equals positive

negative and positive equals negative

positive and negative equals negative

4 0
3 years ago
The number of visits to public libraries increased from 1.3 billion in 1998 to 1.5 billion in 2002. Find the average rate of cha
9966 [12]

Answer: The average rate of change in the number of public library visits from 1998 to 2002 = 0.05 billion per year.

Step-by-step explanation:

Given: Number of visits in 1998 = 1.3 billion

Number of visits in 2002 = 1.5 billion

The average rate of change in the number of public library visits from 1998 to 2002 = \dfrac{\text{Number of visits in 2002 - Number of visits in 1998}}{2002-1998}

=\dfrac{1.5-1.3}{4}\\\\=\dfrac{0.2}{4}\\\\= 0.05 \text{ billion per year.}

Hence, the average rate of change in the number of public library visits from 1998 to 2002 = 0.05 billion per year.

4 0
3 years ago
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