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3 years ago

Help w this pls ! !!!!!

Mathematics

1 answer:

ivolga24 [154]3 years ago

6 0

Answer:

the answer is 5.9

Step-by-step explanation:

its easy sike i mean im sorry

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Simplifying rational expressions <br> x^2-16/x^2+6x+8 = x-4/x+2<br> x^2-x-6/x^2-3x-10 = x-3/x-5

enot [183]

$\dfrac{x^2-16}{x^2+6x+8}$

Decompose the numerator and denominator into multipliers

To simplify the numerator we use the formula of difference of squares

$x^2-y^2=(x-y)(x+y)$

$x^2-16=(x-4)(x+4)$

To decompose the denominator into multipliers solve the square equation

$x^2+6x+8=0\\D=6^2-4*8=4=2^2\\x_1=\dfrac{-6+2}{2} =-2\\x_2=\dfrac{-6-2}{2} =-4$

Formula for factoring a square equation

$(x-x_1)(x-x_2)$

Substituting the found roots of the equation into the formula

$(x-(-2))(x-(-4))=(x+2)(x+4)$

After simplifying the numerator and denominator we get a fraction

$\dfrac{(x-4)(x+4)}{(x+2)(x+4)}=\dfrac{x-4}{x+2}$ , so

$\dfrac{x^2-16}{x^2+6x+8}=\dfrac{(x-4)(x+4)}{(x+2)(x+4)}=\dfrac{x-4}{x+2}$

$\dfrac{x^2-x-6}{x^2-3x-10}$

Decompose the numerator and denominator into multipliers

To decompose the numerator into multipliers solve the square equation

$x^2-x-6=0\\D=(-1)^2-4*(-6)=25=5^2\\x_1=\dfrac{1+5}{2} =3\\x_2=\dfrac{1-5}{2} =-2$

Formula for factoring a square equation

$(x-x_1)(x-x_2)$

Substituting the found roots of the equation into the formula

$(x-3)(x-(-2))=(x-3)(x+2)$

To decompose the denominator into multipliers solve the square equation

$x^2-3x-10=0\\D=(-3)^2-4*(-10)=49=7^2\\x_1=\dfrac{3+7}{2} =5\\x_2=\dfrac{3-7}{2} =-2$

Formula for factoring a square equation

$(x-x_1)(x-x_2)$

Substituting the found roots of the equation into the formula

$(x-5)(x-(-(-2))=(x-5)(x+2)$

After simplifying the numerator and denominator we get a fraction

$\dfrac{(x-3)(x+2)}{(x-5)(x+2)}=\dfrac{x-3}{x-5}$ , so

$\dfrac{x^2-x-6}{x^2-3x-10}=\dfrac{(x-3)(x+2)}{(x-5)(x+2)}=\dfrac{x-3}{x-5}$

Hello from Russia:^)

6 0

3 years ago

Need help asap The answer is 100 or 126

Serga [27]

Answer:

The surface area of the cone is 126π cm².

Step-by-step explanation:

The surface area of a cone can be found using this formula:

$\text{SA} = \pi r ^2+\pi r l$
where r = radius and l = slant height

In this problem, we are told that the cone has a radius of 9 cm and a slant height of 5 cm.

Substitute these values into the formula for the surface area of a cone.

$\text{SA}= \pi (9)^2+ \pi(9)(5)\\$
$\text{SA}= \pi (81)+ \pi(45)$
$\text{SA}= 126 \pi$

The surface area of the right cone is 126 π cm².

6 0

2 years ago

Solving proportions

Archy [21]

If you crossed multiplied than got an equation than x=6 ( if that's what your looking for)

4 0

3 years ago

5•s indicate multiplication using parentheses and then without using a raised dot or parentheses.

lesya692 [45]

Answer:

Step-by-step explanation:

Algebraic rule

s is a variable and it is an unspoken rule to multiply them if they are next to one another without a mathematical sign

6 0

3 years ago

Read 2 more answers

Which of the following sets represents MUN?

Ronch [10]

Answer:

the second one

Step-by-step explanation:

5 0

3 years ago