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vodka [1.7K]
3 years ago
6

SIMPLIFY (4-74+7) A. 223 B. 9 27 C. 9+2/7 D. 9

Mathematics
1 answer:
sesenic [268]3 years ago
6 0

Answer:

The correct option is D.

Step-by-step explanation:

The given expression is

(4-\sqrt{7})(4+\sqrt{7})

Difference of two squares property:

a^2-b^2=(a+b)(a-b)

Using the above property, the given expression can be written as

(4)^2-(\sqrt{7})^2

Applying square we get

16-7

9

Therefore the correct option is D.

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Convert 0.0000001 to a power of 10.
Murljashka [212]

Answer:

0.0000001 (one ten millionth)

Step-by-step explanation:

3 0
3 years ago
Write the equation of the line that passes through the points (2,0) and (1,-2)
Darya [45]

Answer:

y

=

2

x

−

1

Explanation:

First, we need to determine the slope of the line. The formula for determining the slope of a line is:

m

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−

y

1

x

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−

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1

where

m

is the slope and the x and y terms are for the points:

(

x

1

,

y

1

)

and

(

x

2

,

y

2

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For this problem the slope is:

m

=

3

−

−

1

2

−

0

m

=

3

+

1

2

m

=

4

2

m

=

2

Now, selecting one of the points we can use the point slope formula to find the equation.

The point slope formula is:

y

−

y

1

=

m

(

x

−

x

1

)

Substituting one of our points gives:

y

−

−

1

=

2

(

x

−

0

)

y

+

1

=

2

x

Solving for

y

to put this in standard form gives:

y

+

1

−

1

=

2

x

−

1

y

+

0

=

2

x

−

1

y

=

2

x

−

1

Answer linky

=

2

x

−

1

Explanation:

First, we need to determine the slope of the line. The formula for determining the slope of a line is:

m

=

y

2

−

y

1

x

2

−

x

1

where

m

is the slope and the x and y terms are for the points:

(

x

1

,

y

1

)

and

(

x

2

,

y

2

)

For this problem the slope is:

m

=

3

−

−

1

2

−

0

m

=

3

+

1

2

m

=

4

2

m

=

2

Now, selecting one of the points we can use the point slope formula to find the equation.

The point slope formula is:

y

−

y

1

=

m

(

x

−

x

1

)

Substituting one of our points gives:

y

−

−

1

=

2

(

x

−

0

)

y

+

1

=

2

x

Solving for

y

to put this in standard form gives:

y

+

1

−

1

=

2

x

−

1

y

+

0

=

2

x

−

1

y

=

2

x

−

1

Answer link

4 0
2 years ago
Paul is running with a KE of 600 J if he starts at rest and his final velocity is 4 m/s what is his mass
gayaneshka [121]
We use the kinetic energy equation and substitute our data solving for the mass:
ke = (1/2)mv^2
m = 2*ke/v^2
m = 2*600/4^2
m = 1200/16
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we can substitute directly because the units are homogeneus in the SI system: J, m/s, kg
4 0
3 years ago
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tiny-mole [99]
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