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bezimeni [28]
3 years ago
12

Is 16x2 - 16x + 4 a perfect square?

Mathematics
1 answer:
Andrew [12]3 years ago
5 0

Answer:

Yes

Step-by-step explanation:

Use the completing the square method:

16(x^2-x)+4

=16((x-1/2)^2 - (1/2)^2)+4

=16((x-1/2)^2 - 1/4)+4

=16((x-1/2)^2) - 16/4 + 4

=16(x-1/2)^2

=4^2(x-1/2)^2

The product of two square is itself a square.

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anne buys used cars at auction for 2000 per car. there is 150 fee to take part in the auction. If anne buys 13 used cars how muc
katrin [286]
How to understand the problem is like this:
   Total Cost = Entrance Fee + Total Car cost
So we know that the Entrance Fee is $150...
   Total Cost = $150 + Total Car cost
So we know that Anne bought 13 cars, each at $2,000...
   Total Cost = $150 + ($2,000 x 13)
We multiply because each car is $2,000 and Anne bought 13 of them.
So it works out like this:
   Total Cost = $150 + ($2,000 x 13)
   Total Cost = $150 + (26000)
   Total Cost = $26150
5 0
3 years ago
Is the expression 9 divided by 4 the same as 1/9 x 1/4
Alborosie

Answer: They are not the same.

Step-by-step explanation:

9 divided by 4 = 2.25 = 2 1/4

1/9 * 1/4 = 1/36

1/36 = 0.027...

4 0
3 years ago
Find the distance of each segment AB and CD. You may leave in radical form. A (3, 4) B(1, 0) and C (-1, 2) D (-2, 5)
Whitepunk [10]

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

AB

\sqrt{(1-3)^2+(0-4)^2}

\sqrt{4+16}

\sqrt{20}

2\sqrt5

CD

\sqrt{(-2-(-1))^2+(5-2)^2}

\sqrt{1+9

\sqrt{10}

Hope this helps.

頑張って!

5 0
3 years ago
Read 2 more answers
When Klorina swims with the current, she swims 10 km in 2 h. Against the current, she can swim only 8 km in the same time. How f
nasty-shy [4]

Answer:

Klorina's rate in still water is 4.5 km/h

Current's rate is 0.5 km/h

Step-by-step explanation:

Let

x km/h = Klorina's rate in still water

y km/h = current's rate

<u>With the current (current helps):</u>

Distance = 10 km

Time = 2 hours

Rate = x + y km/h

10=2(x+y)

<u>Against the current:</u>

Distance = 8 km

Time = 2 hours

Rate = x - y km/h

8=2(x-y)

Divide both equations by 2:

x+y=5\\ \\x-y=4

Add these equations:

x+y+x-y=5+4\\ \\2x=9\\ \\x=4.5\ km/h

Subtract these two equations:

(x+y)-(x-y)=5-4\\ \\x+y-x+y=1\\ \\2y=1\\ \\y=0.5\ km/h

4 0
3 years ago
What is the value of the expression 9 x 4 - (2 x 1/2)
love history [14]

Answer:

35x

Step-by-step explanation:

Start with parentheses, 2 x 1/2 = 1

9 x 4 = 36

36 - 1 = 35

4 0
3 years ago
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