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3 years ago

Find the following product: ((3x-6)/(2x+6)) . ((5x+15)/(4x+8)).

Mathematics

1 answer:

KengaRu [80]3 years ago

3 0

X= (15x-30)/(8x+16).

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How do I solve this algebra two btw

pychu [463]

$\bf \begin{cases} x^2+y^2=400\\ \boxed{y}=x-28 \end{cases}\qquad \stackrel{\textit{substituting on the 1st equation}}{x^2+\left( \boxed{x-28} \right)^2=400} \\\\\\ x^2+(x^2-56x+28^2)=400\implies x^2+x^2-56x+28^2=400 \\\\\\ 2x^2-56x+784=400\implies 2x^2-56x+384=0 \\\\\\ 2(x^2-28x+192)=0\implies x^2-28x+192=0 \\\\\\ (x-16)(x-12)=0\implies x = \begin{cases} 16\\ 12 \end{cases}$

now that we know what are the x-values, what are the y-values? well, we can just use the 2nd equation, since we know that y = x - 28, then

$\bf y = x - 28\implies \stackrel{\textit{when x = 16}}{y = 16 - 28}\implies y = -12 \\\\\\ y = x - 28\implies \stackrel{\textit{when x = 12}}{y = 12 - 28}\implies y = -16 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (\stackrel{x}{16}~~,~~\stackrel{y}{-12})\qquad,\qquad (\stackrel{x}{12}~~,~~\stackrel{y}{-16})~\hfill$

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2 years ago

ASAP ! The radius of a circle is 12 ft.

vfiekz [6]

Answer:

Area of sector bounded by angle = 100.37 ft² (Approx.)

Step-by-step explanation:

Given:

Radius of a circle = 12 feet

Arc angle θ = 80°

Find:

Area of sector bounded by angle

Computation:

Area of sector bounded by angle = [θ/360][πr²]

Area of sector bounded by angle = [80/360][(3.14)(12)²]

Area of sector bounded by angle =[0.22][(3.14)(144)]

Area of sector bounded by angle = [0.22][452.16]

Area of sector bounded by angle = 100.37 ft² (Approx.)

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2 years ago

Name the ray that is opposite AD?

Natasha_Volkova [10]

Answer:

I think it's AB

Step-by-step explanation:

Since its the opposite of AD

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2 years ago

carol and jada sold raffle tickets to raise money for a new playground carol sold 2045 tickets jada sold 356 more than carol how

GenaCL600 [577]

Jada sold 2401 tickets

4 0

2 years ago

PLEASE EXPLAIN Find the area and perimeter of the rectangle whose sides are lengths 2x + 3 and 4x

SIZIF [17.4K]

Area = 4x(2x + 3) = 8x2 + 12x

Perimeter = 2(2x + 3 + 4x) = 12x + 6

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2 years ago