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Gekata [30.6K]
3 years ago
13

Please PLEASE PLEASE

Mathematics
1 answer:
Vladimir [108]3 years ago
6 0

14, 21

Step-by-step explanation:

Let the two consecutive multiples be 7n and 7(n+1).

Now, it is given that:

(7n)² + [7(n+1)]² = 637

Simplifying,

49n² + (7n+7)² = 637

49n² + 49n² + 2(7n)(7) + 49 = 637

(as (x+y)² = x² + y² + 2xy)

98n² + 98n + 49 = 637

98n² + 98n - 588 = 0

Dividing by 98 to further simplify,

n² + n - 6 = 0

Factorising, we get

n² + 3n - 2n - 6 = 0

n(n+3) - 2(n+3) = 0

(n+3)(n-2) = 0

Therefore we get n = -3 or n = +2.

Hence, we get the consecutive multiples as 14 and 21.

Feel free to ask if you didn't understand any part.

Hope this helps! :D

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Answer:

a.6.66

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Step-by-step explanation:

6 0
4 years ago
Find the product of 8 and 6​
motikmotik
To find the product of 8 and 6 work out 8 multiplied by 6 which is 48
8 0
3 years ago
What is the average rate of change of f(x) = −2x + 1 from x = −5 to x = 1?
Fiesta28 [93]
Average rate of change is just the slope between the 2 points
we can do this the long way or the smart way


long way, find the 2 points and find the slope between them
when x=-5, f(-5)=-2(-5)+1=10+1=11
when x=1, f(1)=-2(1)+1=-2+1=-1
so the points are (-5,11) and (1,-1)
the slope between them is (-1-11)/(1-(-5))=(-12)/(1+5)=-12/6=-2
the answer is B, -2

smart way
recognize that that is a linear equation and the slope between any 2 points will be the m in y=mx+b
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8 0
4 years ago
Read 2 more answers
Y-x^2=5 written in function notation
nataly862011 [7]

Answer:

f(x) = x² + 5

General Formulas and Concepts:

<u>Algebra I</u>

  • Equality Properties
  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

y - x² = 5

<u>Step 2: Rewrite</u>

  1. Add x² to both sides:                    y = x² + 5
  2. Rewrite <em>y</em>:                                       f(x) = x² + 5
7 0
3 years ago
Solve the system of equations <br> 2x+5y=-4 <br> -x-3y=1
victus00 [196]

Answer:

y = 2  x = -7

Step-by-step explanation:

2x+5y=-4            2x + 5y = -4         Add both equations

(-x-3y=1)2           -2x - 6y =  2

                                 -y = -2

                                  y = 2

Plug in 2 for y in the equations

-x - 3(2) = 1

-x -6 = 1

-x = 7

x = -7

4 0
3 years ago
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