<img src="https://tex.z-dn.net/?f=%5Cleft%284%2B%5Csqrt%7B6%7D%5Cright%29%5Cleft%2810%2B%5Csqrt%7B6%7D%5Cright%29" id="TexFormul

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2 years ago

a1" title="\left(4+\sqrt{6}\right)\left(10+\sqrt{6}\right)" alt="\left(4+\sqrt{6}\right)\left(10+\sqrt{6}\right)" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Zepler [3.9K]2 years ago

6 0

Answer:

$46 + 14\sqrt6$

Step-by-step explanation:

Hello!

Multiply by distributing:

$(4 + \sqrt6)(10 + \sqrt 6)$

$4(10 + \sqrt 6) + \sqrt6 (10 + \sqrt6)$ Distribute 4 + √6

$40 + 4\sqrt6 + 10\sqrt6 + \sqrt {36$ Multiply

$40 + 14\sqrt6 + 6\\$ Simplify

$46 + 14\sqrt6$ Simplify

The final answer is 46 + 14√6

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Select from the drop - down menus to correctly complete each statement

Stels [109]

In a flowchart proof, statements and conclusions are connected with arrows.

In terms of mathematics, a statement is simply any sentence in which it can be verifiably true or false. A statement cannot be a subjective opinion. It must be an objective fact and there must not be any ambiguity involved. A conclusion is also a statement that derives from the first statement made.

As an example, you can have the simple argument "if it rains, then it gets wet outside". So the box on the left would be "it rains" and the box on the right would be "it gets wet outside". An arrow connecting the two shows the logical flow of how the argument is set up.

See the diagram below.

Side note: the box on the left is also considered the antecedent because it comes before the conclusion.

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2 years ago

How do i solve tis in need help slope=2/7 y-intercept=-4

Thepotemich [5.8K]

Answer:

y=2/7x-4

Step-by-step explanation:

Write in Slope intercept form

y=mx+b

m = slope

b = y intercept

x = x intercept

y = (0,-4)

So,

y = 2/7x+(-4) substitute

y = 2/7x-4

5 0

2 years ago

He vertices of square pqrs are p -4,0 q 4,3 r 7,-5 and s -1,-18.Show that the diagonals of square pqrs are congruent perpendicul

Anit [1.1K]

Answer:

Step-by-step explanation:

The vertices of the square given are P(-4, 0), Q(4, 3), R(7, -5) and, S(-1, -18)

For this diagonal to be right angle the slope of the diagonal must be m1=-1/m2

So let find the slope of diagonal 1

The two points are P and R

P(-4, 0), R(7, -5)

Slope is given as

m1=∆y/∆x

m1=(y2-y1)/(x2-x1)

m1=-5-0/7--4

m1=-5/7+4

m1=-5/11

Slope of the second diagonal

Which is Q and S

Q(4, 3), S(-1, -18)

m2=∆y/∆x

m2=(y2-y1)/(x2-x1)

m2=(-18-3)/(-1-4)

m2=-21/-5

m2=21/5

So, slope of diagonal 1 is not equal to slope two

This shows that the diagonal of the square are not diagonal.

But the diagonal of a square should be perpendicular, this shows that this is not a square, let prove that with distance between two points

Given two points

(x1,y1) and (x2,y2)

Distance between the two points is

D=√(y2-y1)²+(x2-x1)²

For line PQ

P(-4, 0), Q(4, 3)

PQ=√(3-0)²+(4--4)²

PQ=√(3)²+(4+4)²

PQ=√9+8²

PQ=√9+64

PQ=√73

Also let fine RS

R(7, -5) and, S(-1, -18)

RS=√(-18--5)+(-1-7)

RS=√(-18+5)²+(-1-7)²

RS=√(-13)²+(-8)²

RS=√169+64

RS=√233

Since RS is not equal to PQ then this is not a square, a square is suppose to have equal sides

But I suspect one of the vertices is wrong, vertices S it should have been (-1,-8) and not (-1,-18)

So using S(-1,-8)

Let apply this to the slope

Q(4, 3), S(-1, -8)

m2=∆y/∆x

m2=(y2-y1)/(x2-x1)

m2=(-8-3)/(-1-4)

m2=-11/-5

m2=11/5

Now,

Let find the negative reciprocal of m2

Reciprocal of m2 is 5/11

Then negative of it is -5/11

Which is equal to m1

Then, the square diagonal is perpendicular

6 0

3 years ago

Which of these number words represents the numeral 4,056? four thousand, five hundred six four thousand, five hundred fifty-six

hjlf

Solution:

we have been asked to find

Which of the given number words represents the numeral 4,056?

Its about the counting.

On unit place we have 6.

on Tenth place we have 5.

on hundredth place we have 0.

On Thousand place we have 4.

so in our number word representation there will be no "Hundreds".

So it will make

Hence the given number words representing the numeral 4,056 is Four thousands and fifty six

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3 years ago

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Almira earns $34 an hour. How much does she earn in 8 hours?

Tom [10]

Answer:

$272

Step-by-step explanation:

one hour = $34

8 hours = $272

34*8 = 272

8 0

3 years ago

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