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JulijaS [17]
3 years ago
7

Please help me with B and C question.

Mathematics
1 answer:
Firlakuza [10]3 years ago
6 0
I know that B is 1/5 and 7/8
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Prove that for every pair of integers m and n, if n − m is even, then n 2 − m is also even. (You may freely use the fact that th
Romashka [77]

Answer with Step-by-step explanation:

We are given that  n and m are two integers

We have to prove that if n-m is even , then n^2-m is also even.

We know that sum of two odd numbers is even.Sum of an odd number and even number is odd.

Product of an odd number and even number is even.

Case 1.Suppose m and n are both even n=4 , m=2

4-2=2

(4)^2-2=14 =Even

Case 2.Suppose m odd and n odd

n=9,m=5

9-5=4

(9)^2-5=76=Even

Hence, proved.

7 0
3 years ago
Write an equation passing through the point and perpendicular to the given line: (-3,5);y = 3/4x-4
balandron [24]

Hey!

So the first thing we realize is that it says that the equation is perpendicular to the line, meaning that the slope of the line is the negative reciprocal of the slope of the line you are given. Since we are given the slope of this line as 3/4 we can take the negative reciprocal of this to get -(4/3).

Now that we have the slope and a point on the line you can plug those into the equation y = mx + b to find b. The slope of the line is m and the point contains the x and y values.

5 = -(4/3)(-3) + b

5 = 4 + b

1 = b

Since we have the y-intercept and the slope now we can plug that into the slope-intercept form equation to get the equation we need:

y = -(4/3)x + 1

7 0
3 years ago
Whats the difference between "6 + A" and "6 x A"
Nata [24]

Answer:

To determine what is the difference between "6 + A" and "6 x A", the logic of the proposed mathematical operations must be explained:

In "6 + A", the value A is added to the initial value 6. Thus, for example, if A were worth 10, to the initial value 6 10 units are added, with which the final value is 16.

In contrast, in "6 x A", the initial value 6 is multiplied by as many times as the value A indicates. Therefore, continuing with the value of A as 10, in this case 6 would be multiplied by 10 times, giving a final value of 60.

6 0
3 years ago
what is the distance from one number to the next in a sequence of numbers that is represented by a (d) in a arithmetic sequence
Vinil7 [7]
Dat be called common difference represented by d in the equation

f(n)=f(1)+d(n-1)
3 0
3 years ago
Which equation, in point-slope form, passes through (-2, 4) and has a slope of 3?
MA_775_DIABLO [31]

Answer:

B. Y-4 =3(x+2)

7 0
2 years ago
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