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lesya692 [45]
3 years ago
13

The number 2017 can be expressed as the difference of the squares of two consecutive whole numbers. What is the sum of these two

numbers?
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
8 0

Let x be the first number

X + 1 be the second number

So

(x+1)^2 – x^2 = 2017

X^2 + 2x +1 – x^2 = 2017

2x + 1 = 2017

2x = 2017 – 1

2x = 2016

X = 1008

X + 1 = 1009

Sum = 1008 + 1009 = 2017

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3 years ago
Hello I need help on this math question
Licemer1 [7]

Answer:

94.2 in squared

Step-by-step explanation:

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4 0
2 years ago
-15/-18=10/x<br> what is X?
xenn [34]

Answer:

12

Step-by-step explanation:

(-15)/(-18) = 10/x cross multiply expressions

-15x = -180 since both sides are negative we can write without the sign

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3 years ago
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3 years ago
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The minimum of the graph of a quadratic function is located at (–1, 2). The point (2, 20) is also on the parabola. Which functio
ss7ja [257]
The min or max of a parabola/quadratic function is the vertex

for
y=a(x-h)²+k
the vertex is (h,k)

so
vertex/min is at (-1,2)
h=-1
k=2

y=a(x-(-1))²+2
y=a(x+1)²+2
find a
given, (2,20) is on the graph

20=a(2+1)²+2
20=a(3)²+2
20=9a+2
minus 2 both sides
18=9a
divide by 9
2=a


y=2(x+1)²+2 is da equation

3rd one
f(x)=2(x+1)²+2
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3 years ago
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