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3 years ago

Determine which polynomial is a perfect square trinomial.

Mathematics

1 answer:

BARSIC [14]3 years ago

5 0

Answer:

16x² − 56x + 49

Step-by-step explanation:

The square of difference of two terms can be expressed as a perfect square trinomial in the following manner:

$(a-b)^{2}=a^{2}-2ab+b^{2}$

The symbol with square terms must be always positive. So this removes the first two options from the given choices. The correct option is either c or d.

Only the option d can be expressed as a perfect square as shown below:

$16x^{2}-56x+49\\\\ = (4x)^{2}-2(4x)(7)+(7)^{2}\\\\ =(4x - 7)^{2}$

Option c would have been correct if it was -30b instead of -15b i.e. the middle term is twice the product of first and second term.

So, option D is correct

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A sloth is climbing down a tree at a constant speed. The sloths height changes by -55 feet in 11 minutes. Which expression repre

guapka [62]

Answer:
-55 divided by (-11)

Because you can have a negative minute after dividing

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3 years ago

If it takes 3,127 feet of computer cable to wire an office building, how much cable will be left if the wire is taken from a 5,0

anyanavicka [17]

This is one of the most complex problems I've seen on Brainly. If you don't understand after reading my lengthy explanation, just tell me.

You have 5000 feet of reel. The office building uses 3127 feet of cable.
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Whew! That was quite difficult, wasn't it?

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3 years ago

Read 2 more answers

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natima [27]

730000 is the answer

8 0

3 years ago

Drag each tile to the correct box. Arrange the equations in order from least to greatest bed on their solution. Equation A: 5( x

olya-2409 [2.1K]

Answer:

Step-by-step explanation:

Find the value of x in each equation then compare the solutions from the least to the greatest

In A

5( x-6)+3x=3/4(2x-8) ------------Open brackets

5x-30+3x=3/2x-6

5x+3x-30=3/2x-6

8x-3/2x=-6+30---------------collect like terms

16x-3x=48

13x=48-----------------dived both sides by 13

x=48/13 = 3.7

In B

2.7(5.1x+4.9)=3.2+28.9-------------open bracket

13.77x+13.23=32.1

13.77x=32.1-13.23---------------collect like terms

13.77x=18.87

x=18.87/13.77----------------------divide both sides by 13.77

x=1.37

In C

5(11x-18)=3(2x+7)--------------------open brackets

55x-90=6x+21

55x-6x=21+90-----------------------collect like terms

49x=111----------------------------------divide both sides by 49 to get x

x=111/49 = 2.27

From the solutions, the least value of x is in B, then C ,and finally A

6 0

4 years ago

This shows the template for a diamond-shaped mirror frame. (View attachment)

Tomtit [17]

Answer:

We know that the area of a square of side length L is given by:

A = L^2

Here, the total area of the white square is:

A = (3x + 1)^2

And the area of the shaded square is:

A' = (2x + 3)^2

a) If we remove the shaded area from the white area, the remaining area is just the difference between the two, then:

area = A - A' = (3x + 1)^2 - (2x + 3)^2

This is the expression we wanted.

b) Now we need to expand and simplify the expression:

area = (3x + 1)^2 - (2x + 3)^2

area = (3x)^2 + 2*(3x)*1 + 1^2 - (2x)^2 - 2*(2x)*3 - 3^2

area = 9x^2 + 6x + 1 - 4x^2 - 12x - 9

area = (9 - 4)*x^2 + (6 - 12)*x + 1 - 9

area = 5*x^2 - 6*x - 8

This is the simplified equation for the remaining area.

8 0

3 years ago