Answer:
12, 17, 24
Step-by-step explanation:
To find the first 3 terms, substitute n = 1, 2, 3 into the rule, that is
T₁ = 1² + 2(1) + 9 = 1 + 2 + 9 = 12
T₂ = 2² + 2(2) + 9 = 4 + 4 + 9 = 17
T₃ = 3² + 2(3) + 9 = 9 + 6 + 9 = 24
The equation of the line in slope intercept form is y = 2x - 2.
<h3>How to find the equation of a line?</h3>
The equation of a line can be represented in different form such as slope intercept form, point slope form, standard form and general form.
The equation of a line can be represented in slope intercept form as follows:
y = mx + b
where
Therefore, the slope of the line can be found as follows:
using (0, - 2)(2, 2)
m = 2 + 2 / 2 - 0
m = 4 / 2
m = 2
Therefore, the y-intercept can be solved as follows:
using (0, -2)
y = 2x + b
-2 = 2(0) + b
b = -2
Therefore, the equation is y = 2x - 2
learn more on equation of a line here: brainly.com/question/14200719
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Answer:
46. 6
47. 8
48. 4
49. 334459
Step-by-step explanation:
The scientific notation of 0.25 is 2.5 x 10⁻¹
Scientific notation is used to handle numbers that are very big or very small.
It has 3 parts, the coefficient, the base and the exponent.
There must be 1 digit before the decimal point in the coefficient.
10 is always the base
the exponent signifies the number of places the decimal has moved from its original location to the location before 1 digit. Positive exponent signifies that the decimal point is shifted to the right. Negative exponent signifies that the decimal point is shifted to the left.
In the above scientific notationl
2. 5 is the coefficient
10 is the base
-1 is the exponent. the decimal point shifted one place to the left.
