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2 years ago

IMMEDIATE HELP PLEASE

Mathematics

1 answer:

9966 [12]2 years ago

4 0

just deal with the power of the x , multiply and simplify

$( { {x}^{ \frac{3}{2} }})^{6} = {x}^{ {9} }$

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A large washer has an outer radius of 10mm and a hole with a diameter of 14mm. What is the area of the washer? (Use π =3.14)

padilas [110]

Answer:

160.14 mm^2

Step-by-step explanation:

Area of a circle = pi r^2

subtract the area of the smaller circle from the larger

note that the smaller radius = 7 mm

pi ( 10^2 - 7^2 ) =

3.14 ( 51) = 160.14 mm^2

7 0

2 years ago

Start with -2 and you end with +7 what is the rule

nika2105 [10]

Add 9 because -2 to 7 equals 9 hope this helped

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4 years ago

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75 months is how many years

lakkis [162]

Answer:

75 months is 6.25001 calendar years.

Step-by-step explanation:

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3 years ago

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Evaluate the following expression. 9+512/2

Nat2105 [25]

Answer:

265

Step-by-step explanation:

First, you add 9 and 512, then you divide the sum by 2 and you get the answer.

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4 years ago

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A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49.

Kobotan [32]

Answer:

The numbers are

$-2+3\sqrt{5}$ and $3\sqrt{5}$

Step-by-step explanation:

Let

x -----> the smaller positive real number

y -----> the larger positive real number

we know that

A positive real number is 2 less than another

$x=y-2$

$y=x+2$ ----> equation A

When 4 times the larger is added to the square of the smaller, the result is 49

$4y+x^2=49$ ----> equation B

substitute equation A in equation B

$4(x+2)+x^2=49$

solve for x

$x^2+4x-41=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^2+4x-41=0$

$a=1\\b=4\\c=-41$

substitute in the formula

$x=\frac{-4\pm\sqrt{4^{2}-4(1)(-41)}} {2(1)}$

$x=\frac{-4\pm\sqrt{180}} {2}$

$x=\frac{-4\pm6\sqrt{5}} {2}$

$x=-2\pm3\sqrt{5}$

The positive real number is

$x=-2+3\sqrt{5}$

Find the value of y

$y=x+2$

$y=-2+3\sqrt{5}+2$

$y=3\sqrt{5}$

6 0

4 years ago