Hi there! Sorry to bother you, but can someone help me out with this?

Mathematics

2 answers:

MrRa [10]2 years ago

7 0

Answer:

1. Theorem; If you need to prove any type of triangle, you will need to get a specific theorem (such as SAS or ASA).

2. Proof; a proof connects with finding how two triangles are congruent or similar. They will be in a list in corresponding order, or it will not be correct.

Hope this helps!

tatiyna2 years ago

6 0

Answer: 1. C , 2. D

Step-by-step explanation:

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Write and then solve for y = f(x) the differential equation for the statement: "The rate of change of y with respect to x is inv

vazorg [7]

The statement "<span>The rate of change of y with respect to x is inversely proportional to y^4" can be written mathematically as dy/dx = k/y^4

To solve the differential equation, we use variable saparable method.
y^4 dy = kdx
Integrating both sides gives,
y^5 / 5 = kx + A
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$y= \sqrt[5]{Bx+C}$ </span>

7 0

3 years ago

Can someone please help me

belka [17]

Answer:

Step-by-step explanation:

First we need to figure out how many people are going on the field trip

if each class has 27 people going and there are 6 classes, 6*27=162

162 ppl are going. If 3 buses can hold 48 ppl then 3*48=144

3 buses are not enough, if we were to bring in one more bus 4*48=192

there would be enough place for everyone

7 0

3 years ago

(csc x - 1) (csc x + 1)

victus00 [196]

<h2>Explanation:</h2>

Here we have the following expression:

$(csc x - 1) (csc x + 1)$

So we need to extend this. Remember that the difference of squares tells us:

$(a-b)(a+b)=a^2-b^2$

So here:

$a=cscx \\ \\ b=1$

Thus:

$(csc x - 1) (csc x + 1)=csc^2x-1 \\ \\ \\ But: \\ \\ cscx=\frac{1}{sinx} \\ \\ \\ Then: \\ \\ csc^2x-1=\frac{1}{sin^2x}-1=\frac{1-sin^2x}{sin^2x}=\frac{cos^2x}{sin^2x}=cot^2x \\ \\ \\ Finally: \\ \\ \boxed{(csc x - 1) (csc x + 1)=cot^2x}$