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3 years ago

(y 3 - 4y 2 + 7y - 6) (y - 2)

1 answer:

8 0

Y^4-4y^3+7y^2-6y-2y^3+8y^2-14y+12=
y^4-6y^3+15y^2-20y+12

or

y^3-4y^2+7y-6=y^3-4y^2+4y+3y-6=
y(y^2-4y+4)+3(y-2)=
y(y-2)^2+3(y-2)=(y-2)[y(y-2)+3]=(y-2)(y^2-2y+3)

(y^3-4y^2+7y-6)(y-2)=(y-2)^2(y^2-2y+3)

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The formula for the area of a triangle is a =1/2bh in which b represents the length of the base Andy represents the height. If a

aleksandrvk [35]

A=1/2bh
Data:
a=192 mm²
h=12 mm

therefore:
192 mm²=1/2(b)(12 mm)
192 mm²=6b mm
b=192 mm²/6 mm
b=32 mm

Answer: the measure of the base is 32 mm

4 0

3 years ago

Read 2 more answers

Mrs. Kim is teaching a 5th grade class. She is standing 48 feet in front of Lester. Carey is sitting to Lester's right. If Carey

victus00 [196]

Lester and Carey are 14 feet apart

Step-by-step explanation:

Mrs. Kim is teaching a 5th grade class

She is standing 48 feet in front of Lester
Carey is sitting to Lester's right
Carey and Mrs. Kim are 50 feet apart

We need to find how far apart Lester and Carey

Look to the attached figure

The positions of Mrs. Kim, Lester, and Carey formed a right triangle

∵ The distance between Mrs. Kim and Carey is 50 feet

∴ The length of the hypotenuse of the Δ = 50 feet

∵ The distance between Mrs. Kim and Lester is 48 feet

∴ The length of one leg of the Δ = 48 feet

The formula of length of the sides of the right Δ is:

$(hypotenuse)^{2}=(leg_{1})^{2}+(leg_{2})^{2}$

Substitute the length of the hypotenuse and the length of the given leg in the formula above

∵ (50)² = (48)² + (leg)²

∴ 2500 = 2304 + (leg)²

- Subtract 2304 from both sides

∴ 196 = (leg)²

- Take square for both sides

∴ 14 = leg

∵ This leg represents the distance between Lester and Carey

∴ The distance between Lester and Carey = 14 feet

Lester and Carey are 14 feet apart

Learn more:

You can learn more about the right triangle in brainly.com/question/1238144

#LearnwithBrainly

8 0

3 years ago

Find AuB and AnB for the sets A and B.<br> A={3, 4, 5, 6, 7), B = {4, 6, 8, 10)

kvv77 [185]

Answer:

AuB= {3,4,5,6,7,8,10}

AnB= {4,6}

7 0

3 years ago

Which number line represents the solutions to –2|x| = –6? A number line from negative 8 to 8 in increments of 1. Two points, one

Elenna [48]

|–2x| = -6

=> 2x = 6

=> x = 3

and,

=> 2x = -6

=> x = -3.

Two points, one at negative 3 and one at 3.

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3 years ago

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Consider the functions f(x)=x−7 and g(x)=4x^3.

maxonik [38]

Answer:

I think A is correct

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3 years ago