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3 years ago

Find two consecutive positive integers such that the sum of their squares is 145

Mathematics

1 answer:

DerKrebs [107]3 years ago

7 0

Answer:

8,9

Step-by-step explanation:

(x)^2+(x+1)^2=145

x²+x²+2x+1=145

2x²+2x+1-145=0

x²+x-72=0

x²+9x-8x-72=0

x(x+9)-8(x+9)=0

(x+9)(x-8)=0

x=-9(rejected being negative)

x=8

x+1=8+1=9

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What is the reason for each step in the solution of the inequality?

Citrus2011 [14]

step 1: Given

step 2: Distributive Property

step 3: Combine Like terms

step 4: Subtraction Property of Order

step 5: Addition property of order

step 6: Division property of order

Step-by-step explanation:

We are given the inequality: $-38-3(x+5)>6x-17$

We need to match each step with the reasons.

The given steps are:

−38−3(x+5)>6x−17

So, Reason for step 1: Given

−38−3x−15>6x−17

So, Reason for step 2: Distributive Property

−3x−53>6x−17

So, Reason for step 3: Combine Like terms

−9x−53>−17

So, Reason for step 4: Subtraction Property of Order

−9x>36

So, Reason for step 5: Addition property of order

x<−4

So, Reason for step 6: Division property of order

Keywords: Solving inequalities

Learn more about Solving inequalities at:

#learnwithBrainly

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3 years ago

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cluponka [151]

Answer:

$a^8b^{12}$

Step-by-step explanation:

when you raise an exponent to a power you multiply

Also since the terms inside the parenthesis are multiplied and not added, you don't have to worry about expanding it

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3 years ago

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the cost of plastering a wall of a room having length 8m and heights 4m at 4s 15 per m² is rs 1560 . find the cost of carpeting

Virty [35]

Answer:

Here,

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height = 4m

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3 years ago

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serious [3.7K]

Answer:

Step-by-step explanation:

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3 years ago

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crimeas [40]

Answer:

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2.-(100 x 4) - (7.00 + 5.00)

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= 488

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And I buy 6 soccer balls.

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Step-by-step explanation:

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3 years ago