9514 1404 393
Answer:
dy/dx = 2x +1
Step-by-step explanation:
The power rule can be used.
d/dx(x^n) = n·x^(n-1)
Then the derivative of x² is 2x¹ = 2x, and the derivative of x = 1x⁰ = 1.
The derivative of the function is ...
dy/dx = 2x +1
A^2 + B^2 = C^2
7^2 + B^2 = 25^2
49 + B^2 = 625
-49 -49
B^2 = 576
Square root both sides
B = 24
Answer:
3) Reflexive Property
4) SAS
Step-by-step explanation:
<h2>ST ≅ TS</h2>
1. The Reflexive Property states that: a quantity is congruent (equal) to itself.
- Example: a = a
- In this case, it could be seen as ST ≅ ST because they have/are the same side(s).
<h2>RST ≅ UTS </h2>
1. SAS theorem states that: two triangles are equal if two sides and the angle between those two sides are equal.
- Example: RST ≅ UTS (both have S and T)
- Can be seen as RST ≅ UST as well to make their similarity more evident.
2. Because it is given that RS ≅ UT and RT ≅ US, and it includes the same 2 lines being equal as given/said, RST ≅ UTS because of SAS (theorem).