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3 years ago

Drag the tiles to the boxes to form correct pairs. Match each term to its definition

Mathematics

2 answers:

lukranit [14]3 years ago

4 0

<h2>Answer with explanation:</h2>

Axiom--- In mathematics an statement also known as a postulate is a statement that is taken to be trivially true. It serve as a premise for further reasoning or some arguments.

Theorem-- It is a proposition that is not considered as self evident it require a chain of reasoning or we may say it need to proved by the help of certain other statements.

Proof-- A proof is a sufficient argument or evidence for a proposition to be true.

Illusion [34]3 years ago

3 0

Answer:

Step-by-step explanation:

axiom goes with a given definition assumed to be true

theorem goes with a logical argument showing that a theorem is true

proof is a statement that requires proof

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What is the sum of 3b(b-4) and 6(b-8)

lora16 [44]

Answer:

This equals $3b^2-6b-48$

Step-by-step explanation:

5 0

2 years ago

For the reaction 2Fe + O2 → 2FeO, how many grams of iron oxide are produced from 42.4 mol of iron?

Butoxors [25]

In the balanced reaction

2 Fe + O₂ → 2 FeO

2 moles of iron (Fe) react with 1 mole of molecular oxygen (O₂) to produce 2 moles of iron oxide (FeO). The ratio of Fe to FeO is 1-to-1, so if one starts with 42.4 mol of Fe, one will end up with the same amount of FeO, 42.4 mol.

Look up the molar mass of Fe and O:

• Fe = 55.845 g/mol

• O = 15.999 g/mol

Then the molar mass of FeO is approximately 71.835 g/mol, and so the mass of 42.4 mol of FeO is

(42.4 mol) × (71.835 g/mol) ≈ 3050 g

8 0

2 years ago

Lines a and b in the figure above are parallel. What is the value of p?

elena-s [515]

It will be c- 20:
4q and 2(q+30) have to equal the same therefore q=30 which makes both these equations equal.
3p + 4q then have to equal 180 as they are on a straight line so you know q=30 so 4x30=120 so 180-120=60
Then 60/3=20 and that is your answer.
Hope this helps :)

7 0

3 years ago

Read 2 more answers

Convert the polar coordinates (-3, -60°) to Cartesian coordinates.

notsponge [240]

Answer:

(1.5,-2.6)

Step-by-step explanation:

Given the polar coordinates (-3,60°).

Let our Cartesian coordinates be (x,y)

#We know that when converting the rectangular coordinates (x,y) to polar (r,θ), then:

$r=\sqrt{x^2+y^2}\\\\\therefore r^2=x^2+y^2\\\\\theta=tan^{-1}(y/x)\\\therefore tan \theta=y/x$

#Using the illustration above, we can express our polar coordinates as:

$-3=\sqrt{x^2+y^2}\\\\-60\textdegree=tan^{-1}(y/x}$

#Solve simultaneously to solve for x and y:

$(-3)^2=x^2+y^2\ \ \ \ \ \ \ \ \ \ i\\\\tan(-0\texdegree)=y/x\ \ \ \ \ \ \ \ ...ii\\\\y=x\ tan(-60\textdegree)\ \ \ \ \ \ \ ...iii\\\\\#substitute\ y \ in\ i\\\\(-3)^2=x^2+(x \ tan (-60\textdegree))^2\\\\9=x^2+3x^2\\\\x=\sqrt{9/4}=1.5\\\\y=1.5\ tan(-60\textdegree)=-2.5981\approx-2.6$

Hence, the Cartesian coordinates are (1.5,-2.6)

6 0

2 years ago

I am stuck at this question

Marrrta [24]

Answer:

Step-by-step explanation:

B(2,10); D(6,2)

Midpoint(x1+x2/2, y1+y2/2) = M ( 2+6/2, 10+2/2) = M(8/2, 12/2) = M(4,6)

Rhombus all sides are equal.

AB = BC = CD =AD

distance = √(x2-x1)² + (y2- y1)²

As A lies on x-axis, it y-co ordinate = 0; Let its x-co ordinate be x

A(X,0)

AB = AD

√(2-x)² + (10-0)² = √(6-x)² + (2-0)²

√(2-x)² + (10)² = √(6-x)² + (2)²

√x² -4x +4 + 100 = √x²-12x+36 + 4

√x² -4x + 104 = √x²-12x+40

square both sides,

x² -4x + 104 = x²-12x+40

x² -4x - x²+ 12x = 40 - 104

8x = -64

x = -64/8

x = -8

A(-8,0)

Let C(a,b)

M is AC midpoint

(-8+a/2, 0 + b/2) = M(4,6)

(-8+a/2, b/2) = M(4,6)

Comparing;

-8+a/2 = 4 ; b/2 = 6

-8+a = 4*2 ; b = 6*2

-8+a = 8 ; b = 12

a = 8 +8

a = 16

Hence, C(16,12)

6 0

3 years ago