50 pts

Mathematics

1 answer:

earnstyle [38]3 years ago

4 0

Answer:

The coordinates of vertex S are (-2,-2) so that means the area is 12

Step-by-step explanation:

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HELP ME QUICK PLEASEEEE solve for x: 2/x-2+7/x^2-4=5/x

Anna35 [415]

$\displaystyle\\\\\frac{2}{x-2}+\frac{7}{x^2-4}=\frac{5}{x}\\\\\frac{^{x+2)}2~~~~~}{x-2}+\frac{7}{(x-2)(x+2)}=\frac{5}{x}\\\\\frac{2(x+2)}{(x-2)(x+2)}+\frac{7}{(x-2)(x+2)}=\frac{5}{x}\\\\\frac{2x+4+7}{x^2-4}=\frac{5}{x}\\\\\frac{2x+11}{x^2-4}=\frac{5}{x}\\\\5(x^2-4)=x(2x+11)\\\\5x^2-20=2x^2+11x\\\\5x^2-2x^2 -11x-20=0$

$\displaystyle\\3x^2-11x-20=0\\\\x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{11\pm\sqrt{121+4\cdot3\cdot20}}{2\cdot3}=\\\\=\frac{11\pm\sqrt{121+240}}{6}=\frac{11\pm\sqrt{361 }}{6}=\frac{11\pm19}{6}\\\\x_1=\frac{11-19}{6}=\frac{-8}{6}\\\\\boxed{\bf x_1=-\frac{4}{3}}\\\\x_2=\frac{11+19}{6}=\frac{30}{6}\\\\\boxed{\bf x_2=5}$

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3 years ago

What does the product (-5-2i)(3+7i) equal

Marina CMI [18]

This in what I got:
(-7i)(10i)
-70i

8 0

3 years ago

The math club makes 35 bars of laundry soap a week and sells these at $20 each before the soap could be sold , the pupils found

Svet_ta [14]

Answer:

Step-by-step explanation:

The math club makes 35 bars of laundry soap a week and sells these at $20 each. This means that the total number of bars of laundry soap made in a 4 week month would be

4 × 35 = 140 bars

If the pupils found that 6 bars were destroyed by mice, the total number of bars of soap left would be

140 - 6 = 134 bars

Therefore, the total sale at the end of a four week month would be

134 × 20 = $2680

7 0

3 years ago

A square field has a perimeter of 48cm find the area of the field

BabaBlast [244]

Answer:

2,304

Step-by-step explanation:

u multiply one length by it widgth so 48 x 48

7 0

3 years ago

Read 2 more answers

-3(5x + 6) + 2 = 2(8 + 8x) - 1

bija089 [108]

So first, we multiply out the brackets.
-15x - 18 + 2 = 17 + 16x -1
Then, bring all the terms onto one side so you can solve.
-15x-18+2-17-16x+1=0
Then, we simplify this.
-31x-32=0
Then, isolate x
-31x=32
x=32/-31 or -1.03 (nearest hundredth )

6 0

3 years ago