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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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dezoksy [38]

Answer:

   x = 4

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    -5*x+15-(35-10*x)=0

Pull out like factors :

             5x - 20  =   5 • (x - 4)

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Solve :    5   =  0

This equation has no solution.

A a non-zero constant never equals zero.

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Solve  :    x-4 = 0

Add  4  to both sides of the equation :

                     x = 4

3 0
3 years ago
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Which of the following describes the correct process for solving the equation 3x + 6 = 21 and arrives at the correct solution? (
Alja [10]

Answer:

d

Step-by-step explanation:

3x+6=21

-6+21= 15

15÷3=5

7 0
3 years ago
Nifal earned 9$ for washing two cars .He recived $1 more for the second car.How much was he paid for washing each car?Which two
Sveta_85 [38]

Answer:

Nifal received $ 4 for washing the first car.

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4 and 5 have a sum of 9.

Step-by-step explanation:

The problem can be rewritten as follows: Find the sum of two consecutive entire numbers equal to 9. That is:

x + y = 9

y = x+1

Then, by eliminating y:

x + (x+1) = 9

2\cdot x + 1 = 9

Now, let is clear x:

2\cdot x = 8

x = 4

Nifal received $ 4 for washing the first car.

The earning for the second car is: (x = 4)

y = x +1

y = 4 + 1

y = 5

Nifal received $ 5 for washing the second car.

4 and 5 have a sum of 9.

8 0
3 years ago
Point P is located at (-3,5)
Naya [18.7K]

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Step-by-step explanation:

A translation of 3 units to the left means subtractin 3 from the x- coordinate with no change to the y- coordinate, thus

P(- 3, 5 ) → (- 3 - 4, 5 ) → (- 7, 5 )

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

(- 7, 5 ) → P'(- 7, - 5 )

5 0
3 years ago
Plz help me schools basically here for me
nevsk [136]

Here's what i did:

I broke down the fraction entirely.

3 / 5 = 6 / 10

divide 6 by two and divide 18 by two. This makes 3 / 10 = 9.

divide 3 by three and 9 by three, making 1 / 10 = 3.

if you need 7 / 10 of the number (30) then do 3*7.

The answer is 21.

8 0
3 years ago
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