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Natalija [7]
3 years ago
6

The square of one number is 23 less than the square of a second number. If the second number is 1 more than the first, what are

the two numbers?
If x represents the smaller number, then which of the following quadratic equations represents the word problem?

a. x² + 23 = x² + 2x + 1
b. (x + 23)² = x² + 2x + 1
c. x² + 23 = x² + 1
Mathematics
2 answers:
Delvig [45]3 years ago
8 0
The correct answer is a
(X+1)^2 - x^2=23
X^2 + 2x + 1 -x^2 =23
2x +1 =23
2x =22
X= 11

X+1= 12
Zarrin [17]3 years ago
4 0
Yeah I think I had the test and A is right
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Answer:

Step-by-step explanation:

The ratio of the angle is how the angle relates to each other. Let's say that we try to relate Angle A, B, C and get 1 : 3 : 5. That means Angle B is three times Angle A and Angle C is 5 times Angle A

Thus we get the equation:

A

B = 3A

C = 5A

A + B + C = 180, since all the angles of the triangle is equal to 180 degrees

A + 3A + 5A = 180

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A = 20 --> B = 3A = 60 --> C = 5A = 100

So Angle A is 20 degrees, Angle B is 60 degrees, and Angle C is 100 degrees.

Hope that helps!

8 0
2 years ago
The obriens are buying new windows for their house. The company installs the new windows for 2100 the total cost for buying the
Blizzard [7]

Answer:

14

Step-by-step explanation:

Given that:

Cost of purchase and installation = 5323.50

Cost per window = 230.25

Cost of installation = 2100

Hence,

Total purchase cost of windows alone :

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Therefore, the number of windows purchased is :

(Total purchase cost of windows alone / price per window)

(3,223.50 / 230.25)

= 14

Hence, 14 windows was purchased

7 0
3 years ago
Brett lives 3/10 mile from school. If he rides his bike to and from school each day,Monday to Friday, how many miles does he rid
evablogger [386]
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7 0
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Find the difference between8/15 and 2/3 Show all calculations in your final answer.
kherson [118]

Answer:

  • \frac{8}{15}-\left(\frac{-2}{3}\right)=\frac{6}{5}          

Step-by-step explanation:

  • Let the value of a number 'a' be = 8/15
  • Let the value of a number 'b' be = 2/3

The difference between the two numbers can be calculated by subtracting the numbers

a-b=\frac{8}{15}-\left(\frac{-2}{3}\right)

\mathrm{Remove\:parentheses}:\quad \left(a\right)=a

         =\frac{8}{15}-\frac{-2}{3}

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}

          =\frac{8}{15}-\left(-\frac{2}{3}\right)

\mathrm{Apply\:rule}\:-\left(-a\right)=a

          =\frac{8}{15}+\frac{2}{3}

\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

          =\frac{8+10}{15}

          =\frac{18}{15}

\mathrm{Cancel\:the\:common\:factor:}\:3

           =\frac{6}{5}

Thus,

  • \frac{8}{15}-\left(\frac{-2}{3}\right)=\frac{6}{5}                    
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3 years ago
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