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skad [1K]
3 years ago
15

Witch expressions are equivalent

Mathematics
2 answers:
kupik [55]3 years ago
6 0

Answer:

<u>First</u><u> </u><u>option</u><u> </u><u>and</u><u> </u><u>third</u><u> </u><u>option</u>

{ \tt{ {y}^{ - 8} {y}^{3}  {x}^{0}   {x}^{ - 2} }} \\  \\ { \tt{ =  \frac{ {y}^{3} }{ {y}^{8}  {x}^{2} } }}

• from law of indices:

→ \: { \boxed{ \tt{a {}^{ - n}  =  \frac{1}{ {a}^{n} }  } \:}}

• again from law of indices:

→ \: { \tt{ {a}^{n}  \times  {a}^{m}  =  {a}^{(n + m)} }}

Therefore:

{ \tt{ =  \frac{ 1 }{  {y}^{5} {x}^{2} } }} \\  \\  = { \tt{ {y}^{ - 5}  {x}^{ - 2} }}

kvasek [131]3 years ago
4 0

Answer:

y-⁸y³x⁰x-²

=y-⁵x-2

=1/y⁵×1/x²

=1/y⁵.x²(Option c)

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Cloud [144]
This is a triangular prism.

The lateral faces are triangles; this means that the two bases are parallel to one another.  This makes it a prism instead of a pyramid.

The bases being triangles makes it a triangular prism.
6 0
2 years ago
1. Ajar contains 11 brown and 18 blue marbles. A
KatRina [158]

Answer:

37.931%

Step-by-step explanation:

11 / (11+18)

5 0
3 years ago
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On a trip to the dump Ralph took 47 pounds of garbage his partner Kyle had 59 pounds how many pounds of garbage did they get rid
Lorico [155]

Answer:

Ralph and Kyle got rid of 106 pounds of garbage.

Step-by-step explanation:

47 + 59 = 106

5 0
3 years ago
What is the y-intercept of a line that passes through (-3,3) and (1,-5)
shepuryov [24]

Answer:

The point-slope formula states:

(

y

−

y

1

)

=

m

(

x

−

x

1

)

Where

m

is the slope and

(

x

1

y

1

)

is a point the line passes through.

Substituting the slope and values from the point in the problem gives:

(

y

−

−

1

)

=

3

5

(

x

−

−

3

)

(

y

+

1

)

=

3

5

(

x

+

3

)

If you want the equation in the somewhat more familiar slope-intercept form we can solve this equation for

y

. The slope-intercept form of a linear equation is:

y

=

m

x

+

b

Where

m

is the slope and

b

is the y-intercept value.

y

+

1

=

(

3

5

⋅

x

)

+

(

3

5

⋅

3

)

y

+

1

=

3

5

x

+

9

5

y

+

1

−

1

=

3

5

x

+

9

5

−

1

y

+

0

=

3

5

x

+

9

5

−

5

5

y

=

3

5

x

+

4

5

The point-slope formula states:

(

y

−

y

1

)

=

m

(

x

−

x

1

)

Where

m

is the slope and

(

x

1

y

1

)

is a point the line passes through.

Substituting the slope and values from the point in the problem gives:

(

y

−

−

1

)

=

3

5

(

x

−

−

3

)

(

y

+

1

)

=

3

5

(

x

+

3

)

If you want the equation in the somewhat more familiar slope-intercept form we can solve this equation for

y

. The slope-intercept form of a linear equation is:

y

=

m

x

+

b

Where

m

is the slope and

b

is the y-intercept value.

y

+

1

=

(

3

5

⋅

x

)

+

(

3

5

⋅

3

)

y

+

1

=

3

5

x

+

9

5

y

+

1

−

1

=

3

5

x

+

9

5

−

1

y

+

0

=

3

5

x

+

9

5

−

5

5

y

=

3

5

x

+

4

5

Step-by-step explanation:

7 0
2 years ago
F(x)=-x-2<br> G(x)= x^2 + 1-x<br> Find (f x g)(3)
nata0808 [166]

Answer:

-36

Step-by-step explanation:

le x be 2 then

f(x) = -2-2 =-4

g(x)= 2square +1-2 =3

to find:(f×g)(3)

(-4×3)(3)

=-36

3 0
2 years ago
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