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balandron [24]
3 years ago
15

Please assist me with this problem: part 11​

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
4 0

Answer:

  a² = b² -w² +2wx

Step-by-step explanation:

The algebra is pretty straightforward. Expand the expression in parentheses and add x².

  b² -(w -x)² = e² = a² -x²

  b² -(w² -2wx +x²) = a² -x² . . . . . expand the square

  b² -w² +2wx -x² = a² -x² . . . . . . distribute the minus sign

  b² -w² +2wx = a² . . . . . . . . . . . . add x²

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Two consecutive numbers whose squares add up to 685
SVEN [57.7K]

Question 790617: The sum of the squares of two consecutive integers is 685. Find the integers.

I tried solving this myself and got 324 and 325 which is not the right answer, I'm not very good with word problems. Thank you in advance!

(Scroll Down for Answer!)

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Found 2 solutions by rothauserc, stanbon:Answer by rothauserc(4570) About Me  (Show Source):

You can put this solution on YOUR website!

we are given the following

x^2 +(x+1)^2 = 685

x^2 +x^2+2x+1 = 685

2x^2 +2x = 684

x^2 +x = 342 and

x^2 +x -342 = 0

use quadratic equation to solve for x

x = (-1 + or - square root(1 - 4*1*(-342)) / 2

x = (-1 + or - 37) / 2

the problem does not state if our consecutive integers are positive or negative

x = 18 or -19

18^2 + 19^2 = 685

324 + 361 = 685

685 = 685

now

-19^2 + -18^2 = 685

361 + 325 = 685

so our integers are 18, 19, -19, -18

Answer by stanbon(75874) About Me  (Show Source):

You can put this solution on YOUR website!

The sum of the squares of two consecutive integers is 685. Find the integers.

--------

1st: x

2nd: x+1

------

Equation:

x^2 + (x+1)^2 = 685

x^2 + x^2 + 2x + 1 = 685

Step-by-step explanation:

8 0
3 years ago
One way to compute a 20% tip for a bill is to multiply it by 0.20. A restaurant bill was $35.70. Calculate the tip.
Dafna1 [17]

Answer:

7.14

Step-by-step explanation:

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What’s the area of a triangular pyramid
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Answer:

a=bh/2

Step-by-step explanation:

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3 years ago
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Make a ten or a hundred to add mentally 339+123
lianna [129]
9+3=12
30+20=50
300+100=400
Then add.
12+50+400=462
<span>So 339+123=462</span>
5 0
3 years ago
Solve the following inequality for dd. Write your answer in simplest form. −7d−3&gt;2d-10
LUCKY_DIMON [66]

Answer:

  d < 7/9

Step-by-step explanation:

Add 7d +10

  7 > 9d

Divide by 9

  7/9 > d

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