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3 years ago

Solve: 5x-4(9-3x)=-2

Mathematics

2 answers:

shepuryov [24]3 years ago

7 0

Answer:

X=2

Step-by-step explanation:

So distribute first

5x-36+12x=-2

Combine like terms

17x-36=-2

Add 36 on both sides

17x=34

Divide 17 on both sides to isolate X

x=2

Final answer

x=2

lora16 [44]3 years ago

5 0

Answer:

i believe it is 2?

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A because 2(5) is 10 + 4(3) is 12 which makes 22 and 6(5) is 30 + 2(3)=6 which makes 36. Finally, both are now true with that ordered pair making it the answer.

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The units of the subway map at the right are in miles. Suppose the routes between stations are straight, find the distance you w

vova2212 [387]

Answer:

Distance between 2 stations= 8.94 miles

Step-by-step explanation:

The coordinates of Symphony Station is given by:

Symphony Station: (x₁ , y₁) : (1,2)

The coordinates of Elm station is given by:

Elm Station: (x₂ ,y₂) : (-3,-6)

We know that the distance formula can be used to find distance between these 2 points. Distance formula is given as

d= √((x₂ - x₁)² + (y₂ - y₁) ²)

Substitute values

d= √((-3 - 1)² + (-6 - 2) ²)

d= √((-4)²+(-8)²)

d= √(16+64)

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4 years ago

The second term of a GP is 4, the fifth term is 81. Find the seventh term

navik [9.2K]

Answer:

The seventh term of a G.P is

$t_{7} = 33,097.211$

Step-by-step explanation:

step(i):-

Given the second term of a G.P is '4'

The general term of nth term is

$t_{n} = ar^{n-1}$

$t_{4} = ar^{4-1} =4$

$ar^{3} =4$ …(i)

Also Given the fifth term of a G.P is '81'

$t_{5} = ar^{5-1} =81$

$ar^{4} =81$ …(ii)

Step(ii):-

Dividing the equation (ii) divided by (i)

$\frac{ar^{4} }{ar^{3} } = \frac{81}{4}$

cancellation ' a' and 'r' terms , we get

$r = \frac{81}{4}=20.25$

substituting 'r' Value in equation (i), we get

$ar^{3} =4$

$a(\frac{81}{4}) ^{3} =4$

$a = \frac{4X4X4X4}{(81)^{3} }= \frac{256}{531,441}$

a = 0.00048

Step(iii):-

The seventh term of G.P

The general term of nth term is

$t_{n} = ar^{n-1}$

$t_{7} = (0.00048)(20.25)^{7-1}$

$t_{7} = (0.00048)(20.25)^{6}= 33,097.211$

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4 years ago