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kobusy [5.1K]
2 years ago
8

A box has a length of 6 centimeters, a width of 4 centimeters, and a height of 5

Mathematics
1 answer:
makvit [3.9K]2 years ago
8 0

Answer:

120 centimeters cubed

Step-by-step explanation:

You don't even need to know the last part. multiply length x width x height=volume (6x4x5) to get 120. the volume is 120 centimeters cubed :)

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The roots of a quadratic equation ax2+bx+c=0 are 3+sqrt2 and 3−sqrt2. Find the values of b and c assuming that a=1.
slamgirl [31]

Answer:

b=-6\\c=7

Step-by-step explanation:

we know that

The general equation of a quadratic function in factored form is equal to

y=a(x-x_1)(x-x_2)

where

a is a coefficient of the leading term

x_1 and x_2 are the roots

we have

a=1\\x_1=3+\sqrt{2}\\x_2=3-\sqrt{2}

substitute

y=(1)(x-(3+\sqrt{2}))(x-(3-\sqrt{2}))

Applying the distributive property convert to expanded form

y=x^2-x(3-\sqrt{2})-x(3+\sqrt{2})+(3+\sqrt{2})(3-\sqrt{2})

y=x^2-(3x-x\sqrt{2})-(3x+x\sqrt{2})+(9-2)

y=x^2-3x+x\sqrt{2}-3x-x\sqrt{2}+7

y=x^2-6x+7

therefore

b=-6\\c=7

7 0
2 years ago
The range of y=√x-5-1 is​
Lady_Fox [76]

Answer:

[-1, ∞ )

Step-by-step explanation:

The use of parentheses is essential here.  I am assuming that you meant:

y=√(x-5) - 1

Note that √(x-5) has the range [0, ∞ ).  The domain is [5, ∞ ).

Thus, y=√(x-5) - 1 has the range [-1, ∞ )

6 0
3 years ago
Read 2 more answers
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