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s2008m [1.1K]
3 years ago
13

The triangles are similar. If KL = 5, JL = 6, and PM = 9, find PN. Round to the nearest tenth.

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
6 0
If the triangles are similar, then the corresponding ratio of their sides have equal ratios. Through ratio and proportion, we would determine the answer.

5/6 = x/9, where x is the length for side PN

Transposing the equation so that x is on the left side:

x = (5/6)*9
x = 7.5
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Step-by-step explanation:


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3 years ago
Given f(x)= 2x^3+kx-1, and x+1 is a factor of f(x), then what is the value of k?
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2 years ago
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X²+Y²=250 and XY=117<br> What are the values of X and Y?
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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

6 0
3 years ago
Cam was bom weighing 8.6 pounds. Every day, he gained the same amount of weight. After 30 days, he weighed 14.9
guajiro [1.7K]

Answer:

So I'm not entirely sure about this one, but I believe he gained 0.21 pounds each day for 30 days

Step-by-step explanation:

Since Cam was born weighing 8.6 pounds and after 30 days weighed 14.9, subtract 14.9-8.6 to find how much he gained.

14.9 - 8.6 = 6.3

Now that we know how much he gained, we have to find out how much he gained per day for 30 days. To do this, divide 6.3 by 30

6.3 / 30 = 0.21

To make sure this answer is correct, multiply 0.21 by 30 and add that to 8.6. It should equal 14.9.

I hope this helps!

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2 years ago
Read 2 more answers
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