The slope of a line is represented by the variable _____. X y m b

Answers

Answer 1

Answer: its the letter m because if you know the equation y=mx+b, m is your slope and b is your start value/number! hope this helps!

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Find the percent of decrease. 1800 to 1200

Answers

$(1800-1200)/(1800) \cdot 100\%= (600)/(1800) \cdot 100\%= (1)/(3) \cdot 100\%=33 (1)/(3) \%\approx33.3\%$

Rationalise:
(1) 4/(2+root3+root7)
(2) 4/(2root3+root5)

Answers

$(4)/(2+\sqrt3+\sqrt7)\cdot(2-(\sqrt3+\sqrt7))/(2-(\sqrt3+\sqrt7))=(8-4\sqrt3-4\sqrt7)/(2^2-(\sqrt3+\sqrt7)^2)=(8-4\sqrt3-4\sqrt7)/(4-3-2√(3\cdot7)-7)\n\n=(8-4\sqrt3-4\sqrt7)/(-6-2√(21))=(-2(2\sqrt3+2\sqrt7-4))/(-2(3+√(21)))=(2\sqrt3+2\sqrt7-4)/(3+√(21))\cdot(3-√(21))/(3-√(21))\n\n=(6\sqrt3-2√(63)+6\sqrt7-2√(147)-12+4√(21))/(3^2-(√(21))^2)=(6\sqrt3-2√(9\cdot7)+6\sqrt7-2√(49\cdot3)-12+4√(21))/(9-21)$

$=(6\sqrt3-6\sqrt7+6\sqrt7-14\sqrt3-12+4√(21))/(-12)=(-8\sqrt3+4√(21)-12)/(-12)=(-4(2\sqrt3-√(21)+3))/(-12)\n\n=(2\sqrt3-√(21)+3)/(3)$

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$(4)/(2\sqrt3+\sqrt5)\cdot(2\sqrt3-\sqrt5)/(2\sqrt3-\sqrt5)=(8\sqrt3-4\sqrt5)/((2\sqrt3)^2-(\sqrt5)^2)=(8\sqrt3-4\sqrt5)/(4\cdot3-5)=(8\sqrt3-4\sqrt5)/(12-5)\n\n=(8\sqrt3-4\sqrt5)/(7)$

$(1) (4)/(2+√(3) +√(7)) \n \n or, (4)/(2+√(3) +√(7)) * (2 - √(3) -√(7))/(2-√(3)-√(7)) \n \n => \frac{ \sqrt[2]{3} - √(21)+3}{3} \n \n \n (2) \frac{4}{\sqrt[2]{3} + √(5)} \n \n or, \frac{4}{\sqrt[2]{3} + √(5)} * \frac{\sqrt[2]{3}-√(5)}{\sqrt[2]{3}-√(5)} \n \n => \frac{\sqrt[8]{3}-\sqrt[4]{5}}{7}$

amita decides that she wants the molds to have a square base from originally having a rectangular prism with a volume of 28 cubic centimeters - how many possible molds can she use

Answers

Given:
rectangular prism = 28 cubic cm
convert to square based or cube

volume of rectangular prism = length * width * height
volume of a cube = a³

√28 = 3.03658897188

Amita can use 3 possible molds that are square based.

Factor using ac-method and factor completely, 25x²-95x-20= ______ thanx for the help.

Answers

$25x^2-95x-20=5(5x^2-19x-4)=5(5x^2+x-20x-4)\n\n=5[x(5x+1)-4(5x+1)]=5(5x+1)(x-4)$

25x²-95x-20
=5(5x²-19x-4)
=5(5x+1)(x-4) <- this is the final answer. :)

Use long division.
(30x³+4x²-150)÷(3x-5)

Answers

$30x^3+4x^2-150=10x^2(3x-5)+18x(3x-5)+30(3x-5)=\n \n=(3x-5)(10x^2+18x+30)\n\n \n (30x^3+4x^2-150):(3x-5)= ((3x-5)(10x^2+18x+30))/(3x-5) =10x^2+18x+30$

The length of an arc of a circle is equal to 1/5 ofthe circumference of the circle. If the length of
the arc is 2π, the radius of the circle is

Answers

The radius of the circle is 5 units.

What is a circle?

A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.

For the given situation,

The arc of a circle is defined as the part or segment of the circumference of a circle.

Let r be the radius of the circle.

The length of an arc of a circle = 2π

Circumference of the circle = 2πr

The length of an arc of a circle is equal to 1/5 of the circumference of the circle

⇒ $2\pi =(1)/(5) 2\pi r$