Answer:
= - 5n - 2
Step-by-step explanation:
There is a common difference between consecutive terms, that is
- 12 - (- 7) = - 17 - (- 12) = - 5
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 7 and d = - 5, then
= - 7 - 5(n - 1) = - 7 - 5n + 5 = - 5n - 2
Option C (Same as Option D)
<h2>
Explanation:</h2>
Option C and D are the same, so I'll assume you made a mistake when writing this question. However, let's figure out which of the following equations has a slope of -2 and passes through the point (2,3):
A. y = -2x + 6
B. y - 3 = -2(x + 2)
C. y = -2x + 7
<em />
<em>All these equations have a slope of -2.</em>
FROM OPTION A:
Since then the line doesn't pass through the point (2, 3)
FROM OPTION B:
Since then the line doesn't pass through the point (2, 3)
FROM OPTION C:
Since then the line passes through the point (2, 3)
<em>Finally, the equation that has a slope of -2 and passes through the point (2,3) is Option C (Same as Option D)</em>
<em></em>
<h2>
Learn more:</h2>
x and y intercepts of a line: brainly.com/question/13770925#
#LearnWithBrainly
Answer:
Step-by-step explanation:
Y = mx + b
slope(m) = 3/4
(3,7)...x = 3 and y = 7
now we sub...we r looking for b, the y int
7 = 3/4(3) + b
7 = 9/4 + b
7 - 9/4 = b
28/4 - 9/4 = b
19/4 = b
equation is : y = 3/4x + 19/4...lets put this in standard form
y = 3/4x + 19/4
-3/4x + y = 19/4...multiply by -4
3x - 4y = -19 <== standard form
if (x,5) is on the line
3x - 4y = -19.....sub in 5 for y
3x - 4(5) = -19
3x - 20 = -19
3x = -19 + 20
3x = 1
x = 1/3 <====so point a = (1/3,5)
Answer:
Prove that KL is equal to c by Pythagorean Theorem.
Step-by-step explanation:
In the two triangles triangle KLM is a right triangle with sides a and b as the two legs of the right triangle .We can apply Pythagorean Theorem to find KL.
In triangle KGF two sides are a and b .If we prove KL=EF then Pythagorean Theorem will be true for triangle KGF and hence we can prove triangle KGF to be a right triangle.
The correct option to prove triangle KGF to be a right triangle is to Prove that KL is equal to c by Pythagorean Theorem.
The for any number n>1 is |(3/4+2/3i)^n| greater than 1 after simplifying the complex number.
<h3>What is a complex number?</h3>
It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have a complex number:
Here n>1
Plug n = 2
= 145/144
= 1.0069
Which is greater than 1.
Thus, the for any number n>1 is |(3/4+2/3i)^n| greater than 1 after simplifying the complex number.
Learn more about the complex number here:
brainly.com/question/10251853
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