Answer:
y = 2x - 3
Step-by-step explanation:
Since the equation for the line y = 2x + 5 is already in slope-intercept form (y = mx + b), the slope (m) is 2. A parallel line will have the same slope. Now use point-slope formula to find an equation for the parallel line including point (3,3). Point-slope formula is:
(y – y₁) = m(x – x₁), where m is the slope (2) and (x₁, y₁) is the point the line passes through (3,3).
Therefore:
(y – 3) = 2 (x – 3)
y – 3 = 2x – 6
y – 3 + 3 = 2x – 6 + 3
y = 2x - 3
By the Pythagorean theorem,
.. x^2 +(x -46)^2 = (x +4)^2
.. 2x^2 -92x +2116 = x^2 +8x +16
.. x^2 -100x +2100 = 0
.. (x -50)^2 -400 = 0
.. x = 50 ±20 . . . . . only x=70 makes any sense in the problem
The height, x, of the tree is 70 meters.
(-2x + 4y)(3x - 7y) = -6x^2 - 28y^2 + 12yx
Follow these steps and you should get your answer its not the same questions but it should help
The answer to the problem is as follows:
These two polynomials are 5x^2 + 3x + 5 and 3x^2 +2x + 2:
Subtracting the second expression from the first:
<span>5x^2 + 3x + 5
- (3x^2 +2x + 2)
</span>____________
<span>2x2 + x + 3 <------------- The difference
</span>
<h2>
Answer:</h2><h2>
The 97th term in the series is 409</h2>
Step-by-step explanation:
The given sequence is 25, 29, 33, ....
The sequence represents arithmetic progression
In an AP, the first term is a1 = 25
The difference between two terms, d = 29 - 25 = 4
To find the 97th term,
By formula, 
Substituting the values in the above equation, we get
= 25 + (96 * 4)
= 25 + 384
= 409
The 97 th term in the given sequence is 409.
