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3 years ago

What is the factored form of the polynomial?x2 − 12x + 27?

Mathematics

1 answer:

Rom4ik [11]3 years ago

5 0

Answer:

(x-9)(x-3) which is the same as (x-3)(x-9)

Step-by-step explanation:

Think of ways to factor the last number 27. One way is 1*27 = 27. Another way is 3*9 = 27 and so on. Now think to yourself "which factor of 27 add to -12?". You'll need to consider negative factors. It turns out that

-3 plus -9 = -12

-3 times -9 = 27

Therefore the two values we care about are -9 and -3. So x^2-12+27 factors to (x-3)(x-9). The order of the factors does not matter. So we can write the answer as (x-9)(x-3) just fine.

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I cut a long piece of wood into 50cm pieces. I manage to cut

ehidna [41]

Answer:

$WoodLength = 50w + 20$

Step-by-step explanation:

Given

Length of Pieces = 50cm

Number of Pieces = w

Left over = 20cm

Required

Determine the length of the wood

Start by multiplying the number of pieces by the length of each pieces

$Result = Length * Number$

$Result = 50 * w$

$Result = 50 w$

Lastly, add the leftover to get the actual length of the wood

$Wood Length = Result + Leftover$

Substitute 50w for Result and 20 for Leftover

$WoodLength = 50w + 20$

<em>Hence, the length of the wood is 50w + 20</em>

5 0

3 years ago

Explain the distance formula. Then use it to calculate the

Alex777 [14]

Answer:

$dAB=10\ units$

Step-by-step explanation:

we know that

The <u>distance formula</u> is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. The hypotenuse of the triangle is the distance between the two points

The formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

A(1, 1) and B(7, −7)

Let

(x1,y1)=A(1, 1)

(x2,y2)=B(7, −7)

substitute the given values in the formula

$dAB=\sqrt{(-7-1)^{2}+(7-1)^{2}}$

$dAB=\sqrt{(-8)^{2}+(6)^{2}}$

$dAB=\sqrt{64+36}$

$dAB=\sqrt{100}$

$dAB=10\ units$

6 0

3 years ago

Read 2 more answers

Solve the measure of an angle is 161°. what is the measure of a supplementary angle?

lions [1.4K]

Supplementary angles sum up to 180°, suppose the supplement of 161° is x. Then
161+x=180
solving for x we subtract 161 from both sides
161-161+x=180-161
x=19
thus the supplement is 19°

4 0

3 years ago

A line passes through the point (-2, 4), and its y-intercept is (0,6). What is the equation of the line that is

MatroZZZ [7]

Answer:

y = -x + 9

Step-by-step explanation:

The line that passes through the points (-2,4) and (0,6) has a slope of 1, and a y intercept of 6. The equation to the first line is y = x + 6. and perpendicular lines always have the opposite, reciprocal slope of the other line. So the slope for the second line would be -1. A line with the slope of -1 and a point of (5,4) would contain the points (5,4) , (4,5) , (3,6) , (2,7) , (1,8) , and (0,9) , which is the y intercept for the second line. So the equation for the second line would be y = -x + 9

8 0

3 years ago

Place the correct coefficients<br> x²y³ +<br> in the difference.<br> xy² +<br> y

antiseptic1488 [7]

The difference between the two polynomials is 11x²3y³ - 4xy².

<h3>What is the Difference between the Polynomials?</h3>

The difference between two polynomials is the result you get by subtracting one from the other.

Thus:

= (4x²2y³ + 2xy² – 2y) – (–7x²y³ + 6xy² – 2y)

= 4x²2y³ + 2xy² – 2y + 7x²y³ - 6xy² + 2y

= 11x²3y³ - 4xy²

Learn more about polynomials on:

brainly.com/question/2833285

#SPJ1

8 0

2 years ago