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Nataly [62]
2 years ago
9

Please help! If the two triangles are similar, which equation represents the value of side x?

Mathematics
1 answer:
madam [21]2 years ago
5 0

x=\frac{p q}{m} equation represents the value of side x.

Solution:

The two triangles are similar.

<em>If two triangles are similar, then the corresponding sides are in proportional.</em>

$\Rightarrow \frac{m}{p} =\frac{q}{x}

Do cross multiplication.

$\Rightarrow mx=pq

Divide by m on both sides.

$\Rightarrow \frac{mx}{m} =\frac{pq}{m}

$\Rightarrow x =\frac{pq}{m}

Therefore, x=\frac{p q}{m} equation represents the value of side x.

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I need to find the derivative. I’m not very good at this so I am answer asap would be sosososo helpful
Bingel [31]

Answer:

See below.

Step-by-step explanation:

First, notice that this is a composition of functions. For instance, let's let f(x)=\sqrt{x} and g(x)=7x^2+4x+1. Then, the given equation is essentially f(g(x))=\sqrt{7x^2+4x+1}. Thus, we can use the chain rule.

Recall the chain rule: \frac{d}{dx}[f(g(x))]=f'(g(x))\cdot g'(x). So, let's find the derivative of each function:

f(x)=\sqrt{x}=x^\frac{1}{2}

We can use the Power Rule here:

f'(x)=(x^\frac{1}{2})'=\frac{1}{2}(x^{-\frac{1}{2}  })=\frac{1}{2\sqrt{x}}

Now:

g(x)=7x^2+4x+1

Again, use the Power Rule and Sum Rule

g'(x)=(7x^2+4x+1)'=(7x^2)'+(4x)'+(1)'=14x+4

Now, we can put them together:

y'=f'(g(x))\cdot g'(x)=\frac{1}{2\sqrt{g(x)}} \cdot (14x+4)

y'=\frac{14x+4}{2\sqrt{7x^2+4x+1} } =\frac{7x+2}{\sqrt{7x^2+4x+1} }

5 0
3 years ago
Tree factories build the same widget. Th number of widgets produced in each factory are shown in the table.
masya89 [10]

Answer:

1 8 9 6

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Step-by-step explanation:

8 0
3 years ago
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The answer is H. $8.70
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tamaranim1 [39]

Answer:

12

Step-by-step explanation:

the number is 96

hence,

25% of 96=

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50% of 24=

50/100*24/1=

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it also possible that you're to sum them,but since you were not asked for the sum of the number the answer is 12.

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3 years ago
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Drupady [299]
Here is the formula for finding a partitioning point:
x=x1+k(x2-x1), y=y1+k(y2-y1)
k is the ratio of the segment from the beginning point to the partitioning : the whole segment. In this case, k=AP:AB=5/16
so x=1+(5/16)*(-2-1)=1/16
y=6+(5/16)(-3-6)=51/16
so the answer is (-1/16, 51/16)

Please double check my calculation by yourself.

refer to this website for the formula and how to find k:

"This ratio is called k, and is determined by writing the numerator over the sum of the numerator and the denominator of the original ratio."
https://cobbk12.blackboard.com/bbcswebdav/institution/eHigh%20School/Courses/CCVA%20CCGPS%20Coordina....
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