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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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If an angle is 16 degrees less than the measure of its complement. What’s the measure of the angle?
Margarita [4]

x-16+x=180

2x-16=180

2x=196

x=98 degrees

x-16= 82 degrees

Hope this helps!

6 0
3 years ago
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In 2012, the world's largest pumpkin weighed 913 kilograms. An average-sized pumpkin weighs 5,000 grams.
Paladinen [302]
5000 grams is 5 kilograms 913-5= 908
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3 years ago
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Dr. Potter provides vaccinations against polio and measles. Each polio vaccination consists of 6 doses, and each measles vaccina
Lynna [10]

Answer:

The number of measles vaccines that Dr. Potter give than polio vaccines is 30

Step-by-step explanation:

The parameters given are;

The number of doses given in a polio vaccine = 6 doses

The number of doses given in a measles vaccine = 3 doses

The number of vaccinations given by Dr. Potter last year = 60 vaccinations

The number of doses given in the 60 vaccinations = 225 doses

Let the number of polio vaccine given last year by Dr. Potter = x

Let the number of measles vaccine given last year by Dr. Potter = y

Therefore, we have;

6 × x + 3 × y = 225.......................(1)

x + y = 60.......................................(2)

From equation (2), we have;

x = 60 - y

Substituting the derived value for x in equation (1), we get;

6 × x + 3 × y = 225

6 × (60 - y) + 3 × y = 225

360 - 6·y + 3·y = 225

360 - 225 = 6·y - 3·y

135 = 3·y

y = 45

x = 60 - y = 60 - 45 = 15

Therefore;

The number of polio vaccine given last year by Dr. Potter = 15

The number of measles vaccine given last year by Dr. Potter = 45

The number of measles vaccines that Dr. Potter give than polio vaccines = 45 - 15 = 30 vaccines.

The number of measles vaccines that Dr. Potter give than polio vaccines =  30 vaccines.

7 0
3 years ago
F(x)=-x^2+8x-11 find the value of f(-1)-f(1)
IrinaVladis [17]

Answer: The answer is (4,5)

Step-by-step explanation:

5 0
3 years ago
Multiply<br> ( 2 x – y ) ( 3 x + y )
Nikitich [7]
Answer: 6x^2-xy-y^2.

Tell me if you want step by step!!

Hope this helped. :)
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2 years ago
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