Mathematical proofs are used to determine if a conjecture or statement is true, or otherwise.
The blanks will be filled with the following texts
- Given
- Proved
From the question, the following parameters are given:
and 
This means that, the first blank will be completed with given.
By converse of alternate interior angles theorem
--- angle 1 and angle 2 are congruent
So, the second blank will be completed with
The above statement means that:
has been proved
Hence, the last blank will be completed with proved.
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brainly.com/question/2010495
Answer:
5,630.81$
A = 5000(1 + (0.04 × 3)) = 5600
A = $5,630.81
Answer:
Person 3 earns the most money every year
Step-by-step explanation:
Answer:
4 x^(3/2) + 5x -32
Step-by-step explanation:
This problem involves definite integration (anti-derivatives).
If dy/dx = 6x^(1/2) - 5, then dy = 6x^(1/2)dx - 5dx.
(1/2) + 1
This integrates to y = 6x
----------------
(1/2) + 1 x^(3/2)
= 6 ------------ + C
3/2
or: 4 x^(3/2) + C
and the ∫5dx term integrates to 5x + C.
The overall integral is:
4 x^(3/2) + C + 5x + C. better expressed with just one C:
4 x^(3/2) + 5x + C
We are told that the curve represented by this function goes thru (4, 20).
This means that when x = 4, y = 20, and this info enables us to find the value of the constant of integration C:
20 = 4 · 4^(3/2) + 5·4 + C, or:
20 = 4 (8) + 20 + C
Then 0 = 32 + C, and so C = -32.
The equation of the curve is thus 4 x^(3/2) + 5x -32
(1/2 + 1)
Answer:
x = ± 4
Step-by-step explanation:
Given
x² - 1 = 15 ( add 1 to both sides )
x² = 16 ( take the square root of both sides )
x = ± 
= ± 4
