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lawyer [7]
3 years ago
9

4w^2+4w+1=25 NEED HELP PLEASEEE

Mathematics
1 answer:
geniusboy [140]3 years ago
6 0

Answer:

w=2, -3

Step-by-step explanation:

minus 25 from each side

1+-25+4w^2+4w=25+-25

combine like terms

-24+4w^2+4w=0

factor out the greatest Common factor

4(-6+w+w^2)=0

factor a trinomial

4((-3+-1w)(2+-1w))=0

I hope this helps!

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X²+Y²=250 and XY=117<br> What are the values of X and Y?
yan [13]

Answer:

<h3>            x = -9,  y = -13 </h3><h3>    or    x = 13,   y = 9</h3><h3>    or    x = -13,  y = -9</h3><h3>    or     x = 9,   y = 13</h3>

Step-by-step explanation:

x^2+y^2=250\\\\x^2-2xy+y^2+2xy=250\\\\(x-y)^2=250-2xy\\\\(x-y)^2=250-2\cdot117\\\\ (x-y)^2=16\\\\x-y=4\qquad\qquad\vee\qquad \qquad  x-y=-4\\\\x=4+y \qquad\qquad \vee\qquad\qquad x=-4+y\\\\(y+4)y=117\qquad\vee\qquad\quad (y-4)y=117\\\\y^2+4y-117=0\qquad\vee\qquad y^2-4y-117=0\\\\y=\dfrac{-4\pm\sqrt{4^2-4(-117)}}{2\cdot1}\qquad\vee\qquad y=\dfrac{4\pm\sqrt{4^2-4(-117)}}{2\cdot1}\\\\y=\dfrac{-4\pm\sqrt{16+468}}{2}\qquad\ \ \vee\qquad y=\dfrac{4\pm\sqrt{16+468}}{2}

y_1=\dfrac{-4-22}{2}\ ,\quad y_2=\dfrac{-4+22}{2}\ ,\quad y_3=\dfrac{4-22}{2}\ ,\quad y_4=\dfrac{4+22}{2}\\\\y_1=-13\ ,\qquad y_2=9\ ,\qquad\quad\qquad\ y_3=-9\ ,\qquad y_4=13\\\\x_{1,2}=4+y_{1,2}\qquad\qquad\qquad\qquad\qquad x_{3,4}=-4+y_{3,4}\\\\x_1=-9\ ,\qquad x_2=13\ ,\qquad\quad\qquad x_3=-13\ ,\qquad x_4=9

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Answer:

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Step-by-step explanation:

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Answer:

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Find the slope and the y-intercept of the graph of the linear equation.<br><br> y = 6x
Snowcat [4.5K]
Y-intercept=0
slope=6/1

hope this helps
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3 years ago
of the 30 girls who turn out for the lacrosse team at Euclid Middle school, 12 were selected. of the 40 boys who tried out 16 we
deff fn [24]

12 girls out of 30 were selected, so the ratio "selected:tried" if 12/30. This fraction can be simplified into

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Similarly, 16 boys out of 40 were selected, so the ratio "selected:tried" if 16/40. This fraction can be simplified into

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So yes, the ratio of the number of students on the team to the number of students trying out the same for both boys and girls

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