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3 years ago

Find the midpoint of the segment with the following endpoints. (- 4, 5) and (- 1, 1)

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

8 0

Answer:yo momma

Step-by-step explanation:

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Which expression is equivalent to ^4sqrt6/^3sqrt2?

BigorU [14]

$\dfrac{\sqrt[4]6}{\sqrt[3]2}=6^\frac{1}{4}:2^\frac{1}{3}=6^\frac{1\cdot3}{4\cdot3}:2^{\frac{1\cdot4}{3\cdot4}}=6^\frac{3}{12}:2^\frac{4}{12}=(6^3)^\frac{1}{12}:(2^4)^\frac{1}{12}\\\\=216^\frac{1}{12}:16^\frac{1}{12}=(216:16)^\frac{1}{12}=\sqrt[12]{\dfrac{216}{16}}=\sqrt[12]{\dfrac{27}{2}}\\\\\text{Answer:}\ 1)\ \sqrt[12]{\dfrac{27}{2}}$

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3 years ago

Read 2 more answers

A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the

Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of metal

y ----> the original width of the piece of metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

$L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in$

The volume of the box is equal to

$V=(x-10)(y-10)5$

$V=930\ in^3$

$930=(x-10)(y-10)5$

simplify

$186=(x-10)(y-10)$ -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

$x=y+25$ ----> equation B

substitute equation B in equation A

$186=(y+25-10)(y-10)$

solve for y

$186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

$x=16+25=41$

therefore

The original length was 41 inches and the original width was 16 inches

3 0

3 years ago

A cyclist rides her bike at a rate of 30 kilometers per hour. What is this rate in kilometers per minute? How many kilometers wi

SIZIF [17.4K]

5 kilometers for 10 minutes
60 minutes= 1 hour
30 kilometers divided by 60 minutes=0.5
0.5*10 minutes= 5 kilometers for 10 minutes

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3 years ago

As θ increases, the value of cos θ increase, decreases or stays the same?

icang [17]

Answer:

As θ increases, the value of cos θ decreases

Step-by-step explanation:

As as θ increases, the value of cos θ decreases from 1 to -1 in the first two quadrants ( between 0 and 180 degrees). Cos(0) = 1, cos(90) = 0, cos(180) = -1.

On the other hand, as θ increases from 180 to 360 degrees (last two quadrants) the value of cos θ increases from -1 to 1.

Check the attachment below:

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3 years ago

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kenny6666 [7]

Answer:

Step-by-step explanation:

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3 years ago