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NeTakaya
3 years ago
13

P=-40q+163, what is the relationship between p and q?

Mathematics
1 answer:
Alex Ar [27]3 years ago
4 0
P=-40q+163 

p-163=-40q 

- \dfrac{p-163}{40}=q 

q= - \dfrac{p-163}{40}
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Nonrigid transformation changes the size but not the shape.
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A large aquarium should contain 10,000 liters of water when it is filled correctly. Fish will get sick if the aquarium gets down
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3 years ago
Given ΔADC and ΔAEB, What is AE?
chubhunter [2.5K]

Answer:

AE = 43.2 units

Step-by-step explanation:

As per the given question image, it can be seen that in the \triangle ADC \text { and }\triangle AEB :

1. \angle B = \angle C = 90^\circ

2. \angle A is common to both the triangles.

3. Two angles are common, so the third angle \angle E is also equal to \angle D.

All the three angles in the \triangle ADC \text { and }\triangle AEB are equal to each other, hence the triangles are similar.

As per the property of similar triangles, the ratio of their sides will be equal.

AB : AC = AE : AD

AC = 88 units

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AB = AC - AB = 33 units

Let side AE = x units

Side AD = AE + ED

So, AD = x + 72

Using the ratio:

\dfrac{AB}{AC} = \dfrac{AE}{AD}\\\Rightarrow \dfrac{33}{55} = \dfrac{x}{x+72}\\\Rightarrow 55x = 33 \times 72\\\Rightarrow x = \dfrac{3\times 72}{5}\\\Rightarrow x = 43.2\ units

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4 0
3 years ago
What is the possible value for the missing term of the geometric sequence 43,__,2107,...
spayn [35]
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Long answer: The definition of a "Geometric Sequence" is available, for instance, at http://www.mathsisfun.com/algebra/sequences-sums-geometric.html : "<em>In a Geometric Sequence each term is found by multiplying the previous term by a constant."


</em>In this case, you are given the first term (43), and the third term (2107) and you have one missing term, specifically the second term. If you divide the third term (2107) by the first term (43) then you get 49. And you know that 49 = 7 * 7. So, you reach the conclusion that you can multiply the first term (43) by 7 to get to the missing term and that you can multiply that missing term again by 7 to get to the third term (2107). That satisfies our "Geometric Sequence" requirement that each term is multiplied by a constant (the constant is 7, in this case).

So, if you multiply 43 by 7, you get 301 (the missing second term). And if you multiplied 301 again by 7 then you would get to the third term that was given in the question (2107).
5 0
3 years ago
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