What is the factored form of the polynomial? x2 - 15x + 36

Answers

Answer 1

Answer:

Answer:

$(x-12)(x-3)$

Step-by-step explanation:

We have been given an polynomial $x^2-15x+36$ and we are asked to factor our given polynomial.

We will factor our given polynomial by splitting the middle term in two numbers such that the numbers add up-to -15 and their product will be equal to 36.

We know that -12 and -3 add up-to -15 and their product is 36. So splitting the middle term of our given polynomial we will get,

$x^2-12x-3x+36$

$x(x-12)-3(x-12)$

$(x-12)(x-3)$

Therefore, the factored form of our given polynomial is $(x-12)(x-3)$ .

Answer 2

Answer:

The factored form of the polynomial $x^2 - 15x + 36$ is $(x - 3)(x - 12)$ .

To find the factored form of the polynomial $x^2 - 15x + 36$ , we can look for two binomials that, when multiplied, give us the original polynomial.

The general form of a quadratic polynomial in factored form is $(x - r_1)(x - r_2).$

where $r_1$ and $r_2$ are the roots of the polynomial.

Now, find two numbers whose product is 36 and whose sum is -15.

The numbers that satisfy these conditions are -3 and -12,

since $(-3) * (-12) = 36$ and

$(-3) + (-12) = -15.$

Therefore, we can factor the polynomial as:

$x^2 - 15x + 36$

$x^2 - 12x-3x+36$

$x(x-12)-3(x-12)$

$= (x - 3)(x - 12)$

So, the factored form of the polynomial $x^2 - 15x + 36$ is $(x - 3)(x - 12)$ .

To learn more on Polynomials click:

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Which statement is true?

Answers

Answer:

Two shapes have corresponding congruent parts if and only if the shapes are congruent and one shape can be mapped to the other using a series of rigid transformations. (The first option)

Step-by-step explanation:

The other three statements are false.

Two shapes can have corresponding congruent parts without being congruent. For example, a square and a rectangle can have congruent sides, but they are not congruent shapes.

Two shapes can be congruent without being able to be mapped to each other using a series of rigid transformations. For example, a sphere and a cube are congruent shapes, but they cannot be mapped to each other using only rigid transformations.

Two shapes can be non-congruent and be able to be mapped to each other using a series of rigid transformations. For example, a square and a rectangle can be mapped to each other using a combination of a rotation and a translation.

Rite an equation of a line parallel to line EF in slope-intercept form that passes through the point (2, 6).E
Oy=2x+3
Oy = 3x + 6
F
Oy=-3x+23
Oy=-3x+6
22

Answers

The equation of a line parallel to line EF in slope-intercept form is Oy = 2x + b, where b is the y-intercept.

To determine the value of b, we will use the fact that this line passes through the point (2, 6).

Plugging in the x-coordinate of the point (2, 6) into the equation Oy = 2x + b, we get:

6 = 2(2) + b

6 = 4 + b

Subtracting 4 from both sides, we get:

2 = b

Therefore, the equation of the line parallel to line EF in slope-intercept form that passes through the point (2, 6) is:

Oy = 2x + 2.

find exact value using reference angles

cot -53pi/6

Answers

Answer:

cot(-53π/6) = cot(7π/6) = √(3)

Step-by-step explanation:

Remember that a trig function repeats itself every 2π, so you can add any multiple of 2π to your angle and it'll give you the same answer.

cot(-53π/6) = cot(-53π/6 + 2πk)

= cot(-53π/6 + 2π·5)

= cot(-53π/6 + 10π)

= cot(7π/6)

= [-√(3)/2] / [-1/2]

= √(3)

It's the same as cot (-150 or -5pi/6) and that's a reference angle of 30 so cot 30 or pi/6 is sqrt (3) and since it's in the 3rd quadrant, it's positive.

If the dimensions of a figure are doubled, then the area of the figure is___.

Answers

If the dimensions of a figure are doubled, then the area of the figure is quadrupled.

Answer:

Quadrupled

Step-by-step explanation:

Let us consider rectangle be a figure whose dimensions are $a and b$ .

Then, the area of the rectangle will be:

$A=a{*}b$

$A=ab square units$

Now, If we double the dimensions of the rectangle that is $2a and 2b$ , then the area of the rectangle will become:

$A=2a{*}2b$

$A=4ab square units$

Therefore, if we double the dimensions of the rectangle, the area becomes quadrupled.

Thus, If the dimensions of a figure are doubled, then the area of the figure is Quadrupled.

Answer pleaseee :)))

Answers

Answer:

m∠XYZ=106°, m∠XWY = 53°

Step-by-step explanation:

XYZ is a central angle, its arc is XY = 106°. so m∠XYZ = mXY=106°

XWY is an inscribed angle, its arc XY = 106°, so m∠XWY =1/2 mXY=1/2*106=

= 53°

What is StartFraction 5 pi Over 6 EndFraction radians converted to degrees? If necessary, round your answer to the nearest degree.

Answers

Answer:
150°
Explanation:
Remember that pi radians is equal to 180 degrees so you can just derive from that equation

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