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-BARSIC- [3]
3 years ago
13

Figure A is a scale image of Figure B, as shown.

Mathematics
1 answer:
Inessa [10]3 years ago
5 0

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

Using the scale factor, we have ...

  x/8 = 0.25/1

  x = 8(0.25) . . . . multiply by 8

  x = 2

_____

<em>Additional comment</em>

I like to write proportions with the variable in the numerator. That way they are easily solved by a single multiplication. The trick is to get corresponding parts in the same positions. Here, the fractions are written ...

  B/A = smaller part / larger part = x/8 = 0.25/1

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Arrange the steps to solve the equation square root x+3 - square root 2x-1=-2
stiv31 [10]

Answer:x=31.4919

Step-by-step explanation:

Step1:isolate a square root on the left hand side√x+3=√2x-1-2

Step2:eliminate the radicals on the left hand side

Raise both sides to the second power

√x+3)^2=(√2x-1-2)^2

After squaring

x+3=2x-1+4-4-4√2x-1

Step3:get the remaining radicals by itself

x+3=2x-1+4-4√2x-1

Isolate radical on the left hand side

4√2x-1=-x-3+2x-1+4

4√2x-1=x

Step4:eliminate the radicals on the left hand side

Raise both side to the second power

(4√2x-1)^2=x^2

After squaring

32x-16=x^2

Step 5:solve the quadratic equation

x^2-32x-16

This equation has two real roots

x1=32+√960/2=31.4919

x2=32-√960/2=0.5081

Step6:check that the first solution is correct

Put in 31.4919 for x

√31.4919+3=√2•31.4919-1-2

√34.492=5.873

x=31.4919

Step7:check that the second solution is correct

√x+3=√2x-1-2

Put in 0.5081 for x

√0.5081+3=√2•0.5081-1-2

√3.508=-1.873

1.873#-1.873

One solution was found

x=31.4919

6 0
3 years ago
Mr. Caldwell want to purchase a motorcycle. He has
Blababa [14]

Answer:

A

Step-by-step explanation:

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4 0
3 years ago
Please explain this. I don't get what it means by an equal difference over an equal interval!!!
zzz [600]
<span>I, only. The first situation is a linear function, growing the same amount every day. (Constant slope) The other two are exponential functions with the amount changing from interval to interval. Even if the percentage remains the same.</span>
5 0
3 years ago
Find each quotient. a. 5 ÷ 1/10 B. 5 ÷ 3/10 C. 5 ÷ 9/10
AnnyKZ [126]

Answer:

1. 50

2. 16.6666666667=16.7

3. 5.55555555556=5.6

Step-by-step explanation:

1. 5/0.1=50

2. 5/0.3=16.6666666667=16.7

3. 5/0.9=5.55555555556=5.6

3 0
3 years ago
Read 2 more answers
Simplify: ((1/x+h)-(1/x))/h
Darya [45]
\frac{( \frac{1}{x}+h)- \frac{1}{x} }{h}= \\  = \frac{ \frac{1}{x}+h- \frac{1}{x}  }{h}= \\  =\frac{h}{h}=  1
Thank you.
3 0
3 years ago
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