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madam [21]
3 years ago
9

Can anybody tell me the answer to this im so confused

Mathematics
1 answer:
wolverine [178]3 years ago
4 0
Meh

ok so when have sqrt, try to square both sides
\sqrt{2x-1}=2+ \sqrt{x-4}
square both sides
2x-1=4+4 \sqrt{x-4}+x-4
2x-1=x+4 \sqrt{x-4}
mnus x both sides
x-1=4 \sqrt{x-4}
square oth sides
x^2-2x+1=16(x-4)
x^2-2x+1=16x-64
minus (16x-4) from both sides
x^2-18x+65=0
factor
(x-5)(x-13)=0
set each to zero
x-5=0
x=5

x-13=0
x=13

x=5 and 13

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<u>Answer:</u> 5 years!

<u>Reasoning:</u>

Year 1: 2700 x .70=1890

Year 2: 1890 x .70= 1323

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The circumference of a circle is 23π m. What is the area, in square meters? Express your answer in terms of \piπ
LenaWriter [7]

Answer:

Area of the circle =   \frac{529}{4}  π  m²    or      132.25 π  m²

Step-by-step explanation:

To find the area, we will follow the steps below.

First write down the formular for the circumference of a circle, then use the formula to find the radius of the circle after which you can now find the area of the circle.

That is;

C = 2πr

where c is the circumference of the circle and   r is the radius of the circle

From the question given, circumference C = 23π

23π = 2π r

Divide both-side of the equation by 2π

23π/2π  =  2πr/2π

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radius =   \frac{23}{2}  m

Formula for calculating the area of a circle is given by;

A = πr²

where A= area of the circle   and   r is the radius of the circle

A = π ( \frac{23}{2} )²

A = \frac{529}{4}  π  m²    or      132.25 π  m²

Area of the circle =   \frac{529}{4}  π  m²    or      132.25 π  m²

6 0
3 years ago
Find the endpoint of the segment with endpoint (4, 12) and midpoint (-1, 13)
ioda

Answer:

(-6,14)

Step-by-step explanation:

We are given one endpoint and the midpoint, so we have to figure out how far apart these two points are:

(4,12) and (-1,13)

First, we take the x values because these two points are using the (x,y) pattern.

How far away are 4 and -1? The answer is 5.

How far away are 12 and 13? Only 1

If we start at the endpoint (4,12) and go to the midpoint at (-1,13), we go 5 to the left. That means we need to go 5 more spaces to the left to get to the other endpoint. The first part of our answer is -6, which is 5 to the left of -1.

Doing the same thing for the y values now, to get from 12 to 13 we go up 1. So we have to go up one more to find the y value of the other endpoint. If you are at 13 and you go up one, you are at 14.

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3 years ago
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