How do you factor 80y^2-4y-4? or is it prime?

Answers

Answer 1

Answer: $80y^2-4y-4\n\na=80;\ b=-4;\ c=-4\n\n\Delta=b^2-4ac\n\n\Delta=(-4)^2-4\cdot80\cdot(-4)=16+1280=1296 > 0\n\ny_1=(-b-\sqrt\Delta)/(2a);\ y_2=(-b+\sqrt\Delta)/(2a)\n\n\sqrt\Delta=√(1296)=36\n\ny_1=(4-36)/(2\cdot80)=(-32)/(160)=-(1)/(5);\ y_2=(4+36)/(2\cdot80)=(40)/(160)=(1)/(4)$

$80y^2-4y-4=80(y+(1)/(5))(y-(1)/(4))\n\n\n80(y+(1)/(5))(y-(1)/(4))=4\cdot5\cdot4\cdot(y+(1)/(5))(y-(1)/(4))=4(5y+1)(4y-1)$

$80y^2-4y-4=80y^2-4y-16y+16y-4=80y^2-20y+16y-4\n\n=20y(4y-1)+4(4y-1)=(4y-1)(20y+4)$

Answer 2

Answer: $80y^2-4y-4=4(20y^2-5y+4y-1)=4[5y(4y-1)-(4y-1)]=\n \n=4(4y-1)(5y-1)$

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A ladder is 95 inches tall. How tall is it in feet and inches

Answers

The answer is 7.91667 in feet but it is ninety five in inches.

The ladder is about 7' 9''

What is the surface area, in square inches, of a disco ball with a circumference of 188.5 centimeters?

Answers

A = 11300 cm2

Hope this helps!

What is x- 2 1/2 = 6 3/4. pls help

Answers

X= 9 1/4 or 9.25 in decimal form

try using socratic the app

A surface area of a cube is 96cm. What is the length of one side? What is its volume

Answers

You are giventhe surface area of the cube which is 96cm2. You are asked to find the lengthof one side and its volume. Note that the surface area of the cube is equal to6 times the square root of s (the side of the cube) and the volume is the cuberoot of s. So,

SA = 6*s^2
96cm2 = 6*s^2
s^2 = 16cm
s = 4cm,this is the length of one side.

V = s^3
V = (4)^3
V = 64cm3,this is the volume of the cube.

12, 96/8 equals 12, so therefore it is 12 cm cubed

The angles of a rectangle are equal. always sometimes never

Answers

The angles of a rectangle are equal ALWAYS.

The rectangle has 4 angles, each angle is a right angle or has a measurement of 90°. Total of all interior angle is 360°.

Just like a rectangle, a square has an angle that is always equal because its angles are all right angles.

A triangular pyramid has a surface area of 336 square inches. It is made up of equilateral triangles with side lengths of 12 inches. What is the slant height?

Answers

Given:
Surface Area = 336 sq. inches
side lengths = 12 inches
equilateral triangles

find the slant height.

Area of an equilateral triangle = √3/4 * a² = √3/4 * (12in) = 62.35 in²
Perimeter = 3 a = 3 * 12 = 36 inches

Surface Area = Base Area + 1/2 Perimeter * Slant height
336 in² = 62.35 in² + 1/2 * 36 in * slant height
336 in² - 62.35 in² = 1/2 * 36 in * slant height
273.65 in² * 2 = 36 in * slant height
547.30 in² = 36 in * slant height
547.30 in² / 36 in = slant height
15.20 in = slant height.

It is actually fourteen...you didvide 336 by 12 and since that slant is a triangle based shape you divide that by the quotient of 336\12, which is 14. Sorry if it’s a little confusing

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