Answer:
Step-by-step explanation:
Let the numbers are 2x and 2x + 2.
<u>We have:</u>
- (2x + 2x + 2)² = (2x)² + (2x + 2)² + 48
- 4(2x + 1)² = 4x² + 4(x + 1)² + 48
- (2x + 1)² = x² + (x + 1)² + 12
- 4x² + 4x + 1 = x² + x² + 2x + 1 + 12
- 2x² + 2x - 12 = 0
- x² + x - 6 = 0
- (x - 2)(x + 3) = 0
- x = 2, x = -3
<u>The numbers are:</u>
Answer:
If Samuel is 6 inches taller than Elijah and he is 48 inches tall then Elijah is 42 inches tall.
The line passes through two points that have the same x-coordinate.
It is a vertical line. To find the slope of a line, use any two points. Subtract the y-coordinates. Subtract the x-coordinates in the same order. Then divide the difference of the y-coordinates by the difference of the x-coordinates. Since in this case, the x-coordinates are both -6, the difference between the x-coordinates is zero. Division by zero is not defined, so the slope of this line is undefined. You can't write its equation in point-slope form, because there is no slope for this line.
A geometric series is the collection of an unlimited number of terms with a fixed ratio between them. The sum of the first seven terms of the series is 249.
<h3>What is geometrical series?</h3>
A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.
The given series is an geometric series, the details of the series are:
a₁ = 150
r = 60/150 = 0.4
n = 7
The sum of the geometric series is,
S = 150(1-0.4⁶)/(1-0.4)
S = 248.976 ≈ 249
Hence, the sum of the first seven terms of the series is 249.
Learn more about Geometrical Series:
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