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Akimi4 [234]
3 years ago
11

Factor completely: x^3 - x^2 - 6x

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
4 0

Answer:

x(x-3)(x+2)

Step-by-step explanation:

1. Find the GCF (Greatest Common Factor)

GCF=x

2. Factor out the GCF and simplify.

x(x^{2} -x-6)

3. Factor x^{2} -x-6.

Which two numbers add up to -1 and multiply to -6?

<u>-3 and 2</u>

Rewrite the expression using the numbers above.

(x-3)(x+2)

4. Done!

x(x-3)(x+2)

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Answer: 306 cm^2

Step-by-step explanation:

Surface is found by add all the areas of the sides together, including sides, top and bottom. You might need to divide the 3D shape into different shapes in order to find the area of the sides/top/bottoms. Area for rectangle = bxh.

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3 years ago
What is an angle bisector?
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Could someone please answer question b) ii) ?<br> The question is on the attached image.
mel-nik [20]

Answer:

b) i) Curve A

ii) - 1.75

iii) x = 1 - √5  or x = 1 + √5

Step-by-step explanation:

b) i) We are given a function y = x² - 2x - 3 and the graph of this function is also shown in the side diagram.

The equation can be rearranged to y = (x - 1)² - 4

⇒ (x - 1)² = y + 4

Therefore, this is an equation of a parabola having the vertex at (1,-4) point and its axis is parallel to the positive y-axis.

So, the curve A represents the equation given. (Answer)

ii) Now, at x = 2.5, f(x) = 2.5² - 2 × 2.5 - 3 = - 1.75 (Answer)

iii) When y = 1, then x² -2x - 3 = 1

⇒ x² - 2x - 4 = 0

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⇒ (x - 1)² - (√5)² = 0

⇒ (x - 1 + √5)(x - 1 - √5) = 0

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3 0
3 years ago
Find the distance between two points C(-6,5) and D(-3,1)
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The formula of a distance between two points:

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We have:

C(-6,\ 5)\to x_1=-6,\ y_1=5\\D(-3,\ 1)\to x_2=-3,\ y_2=1

substitute:

d=\sqrt{(-3-(-6))^2+(1-5)^2}=\sqrt{3^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5

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Elza [17]

Answer:

the answer would be A

Step-by-step explanation:

hope it helps pls give brainly

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