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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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Point B is a point of tangency. Find the radius r of OC.<br> А 9<br> B<br> r<br> n
insens350 [35]

Answer:

Radius, r, is 3.75

Step-by-step explanation:

From the given diagram,

AB = 9

AC = 6 + r

BC = r

Thus applying the Pythagoras theorem, we have;

/AC/^{2} = /AB/^{2} + /BC/^{2}

(6 + r)^{2} = 9^{2} + r^{2}

36 + 12r + r^{2} = 81 + r^{2}

collecting like terms,

12r = 81 - 36

12r = 45

r = \frac{25}{12}

   = 3.75

r = 3.75

The radius is 3.75.

3 0
2 years ago
Can someone answer this truthfully
juin [17]

Answer:

1- 4x -7 =29, x= 9

2-x/3 - 8 = 12, x=60

Step-by-step explanation:

4x-7 =29

4x= 29 +7

4x= 36

x= 9

x/3 -8 =12

x/3 = 12+ 8

x/3 = 20

x= 20(3)

x= 60

4 0
3 years ago
Can somebody please help me !!
levacccp [35]

Answer:

I'm pretty sure it's both, but I can see this is a summative exam/test so I'm really sorry if it's wrong.

6 0
2 years ago
What is a percentage increase of 19.50 to 22.50
Inga [223]
To find the <span>percentaje</span> we need to <span>divided</span> the <span>tataol</span> by the amount we end up having.

22.50/19.50=1.15 
<span>then</span> we multiply by 100
115% 
Then to find the <span>percentaje</span> increase we subtract
115%-100= 15%
So it has an <span>increament</span> of 15%
4 0
3 years ago
A right cone has radius 5 ft and slant height 9 ft. The radius and slant height are both multiplied by 1/2. Which of the followi
Alekssandra [29.7K]

Answer:

101.07ft^2

Step-by-step explanation:

Given data

radius= 5ft

h= 9ft

When the radius and height are both multiplied by 1/2

radius= 5/2ft = 2.5ft

height= 9/2 ft= 4.5ft

The expression for the surface area of the cone is

A=πr(r+√h^2+r^2)

Substiute

A= 3.142*2.5(2.5√4.5^2+2.5^2)

A= 7.855(2.5√20.25+6.25)

A= 7.855(2.5√26.5)

A= 7.855(2.5*5.147)

A=101.07 ft^2

Hence the surface area is 101.07ft^2

3 0
2 years ago
Read 2 more answers
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