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3 years ago

Rico thinks it's a perfect square triinomiall. Teresa says it's the difference of two squares. Who is

Mathematics

1 answer:

Naya [18.7K]3 years ago

7 0

Answer: Rico is right.

(-1)(3x + 5)²

Step-by-step explanation: If it were the difference of two squares, the -30x would not be there.

It makes sense to factor out (-1) fry the trinomial, leaving all positive terms.

Then factor 9x² + 30x + 25 as

(3x + 5)²

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Find a polynomial function of least degree having only real coefficients, a leading coefficient of 1, and roots of 2-√6 , 2+ √6

horsena [70]

Answer:

$x^{4} -18x^{3}+104x^{2} -172x-100$

Step-by-step explanation:

The 3 roots are given out of which 2 are real and 1 is imaginary. For a polynomial of least degree having real coefficients, it must have a complex conjugate root as the 4th root. Therefore, based on 4 roots, the least degree of polynomial will be 4. Finding the polynomial having leading coefficient=1 and solving it based on multiplication of 2 quadratic polynomials, we get:

$\\\\x_{1} = 2-\sqrt{6} \\x_{2} = 2+\sqrt{6} \\x_{3}=7-i \\x_{4}=7+i \\\\P(x)=1(x-x_{1})(x-x_{2} )(x-x_{3} )(x-x_{4} ) \\\\=(x-(2-\sqrt{6}))( x-(2+\sqrt{6} )) (x-(7-i))( x-(7+i))\\=((x-2)+\sqrt{6})( ( x-2)-\sqrt{6} ) ((x-7)+i)( (x-7)-i)\\=((x-2)^{2} -(\sqrt{6} )^{2} )((x-7)^{2}-(i)^{2})\\=(x^{2} -4x-2)(x^{2} -14x+50)\\=x^{4} -18x^{3}+104x^{2} -172x-100\\$

7 0

3 years ago

5/20 = z/8 what does z equal

weeeeeb [17]

Answer:

z=2

Step-by-step explanation:

5/20=z/8

Rewrite the equation as z/8=5/20

z/8=5/20

Multiply both sides of the equation by 8.

8⋅z8=8⋅520

Simplify both sides of the equation.

z=2

Hope this helps! Plz mark as brainliest! :)

5 0

3 years ago

What is the area of the parallelogram?

Thepotemich [5.8K]

Answer:

300 cm²

Step-by-step explanation:

Area of Parallelogram = base X height

area = 15 X 20

area = 300 cm²

6 0

3 years ago

used to have a square garage with ft of floor space. recently built an addition to it. The garage is still a square, but now it

Sergio [31]

Answer:

I used to have a square garage with ft of floor space. recently built an addition to it. The garage is still a square, but now it has 50% more floor space. What was the length of one side of the garage originally? What is the length of one side of the garage now? What was the percent increase in the length of one side?

Step-by-step explanation:

6 0

3 years ago

A campsite is in the shape of a rectangle. The green region represents campsites with shade. The yellow region represents campsi

34kurt

A campsite is in the shape of a rectangle. The green region represents campsites with shade. The yellow region represents campsites without shade. The probability that your campsite has shade 1/2.

<h3>What is the probability?</h3>

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

A campsite is in the shape of a rectangle.

The green region represents campsites with shade.

The yellow region represents campsites without shade.

There are only two possibilities either shaded or not shaded So, the total number of outcomes would be 2.

The probability that your campsite has shade = 1/2

Learn more about probability here;

brainly.com/question/11234923

#SPJ1

5 0

3 years ago