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[tex] \frac{1}{ \sqrt{7} -(- 2)} \\ rationalizing \: \: \: the \: \: \: denominator \: \: \: we \: \: \: have \\ = \frac{1}{ \sqrt{7} + 2 } \times \frac{ \sqrt{7} - 2}{ \sqrt{7} - 2} \\ = \frac{ \sqrt{7} - 2}{ {( \sqrt{7} )}^{2} - {(2)}^{2} } \\ = \frac{ \sqrt{7} - 2 }{7 - 4} \\ = \frac{ \sqrt{7} - 2}{3} [/tex]

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Doubt clarification - use comment section.

Given that:

1/(√7 - 2)

The denominator is (√7-2).

We know

The rationalising factor of (√a-b) is (√a+b)

Therefore, the rationalising factor of √7-2 is √7+2.

On rationalising the denominator them

⇛[1/(√7-2)]×[(√7+2)/(√7+2)]

⇛[1(√7+2)]/[(√7-2)(√7+2)]

Since, (a-b)(a+b) = a²-b²

Where, a = √7 and b = √2.

⇛[1(√7+2)]/[(√7)²-(2)²]

⇛[1(√7+2)]/[(√7*7)-(2*2)]

⇛[1(√7+2)]/[7-4]

⇛[1(√7+2)]/3

⇛(√7+2)/3

Hence, the denominator is rationalised.

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Answer:

Let's add more steps.

step 6: angle AEB measures 360 - 90 -90 - 70 - 39 = 71° Reason, AECF is a quadrangonal and three of its angle measures 90, 90, and (70+39)

step 7: angles AEB and ABE are congruent: reason triangle ABE is isosceles since AE is conruent to AB

step 8 Angle BAE measures 180 -71-71 = 38°: by difference from the sum of the internal angles.

step 9: Angle BAD measures 90 - BAE = 90 - 38 = 52° Reason angles BAD and BAE are complementary.

QED

The store  Grand Rapids in Michigan placed and advert for a refrigerator for $1,699.99, also the tax rate is 6%.

Total cost = Tax + cost of refrigerator

$2719.984

Solution

let us find 6% of $1,699.99, this will be the amount paid as tax

Tax = 6/100*$1,699.99

Tax = 0.6*1,699.99

Tax = $1019.994

Now let us find the total amount paid for the refrigerator

This will be the cost of the refrigerator plus the Tax paid

Total = 1,699.99+1019.994

Total = $2719.984

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Answer:

D

Step-by-step explanation:

The first equation would have to have a y-intercept of 4, and the second equation would have to have a y-intercept of -1.

-hope it helps

Answer: what the actual fudge is this?? i am a former harvard professer for math and I have never seen such a monstrocity of a math question, but the answer is the first one.

Step-by-step explanation:

Answer:

I Think it's True (If it's not please don't hate)

Step-by-step explanation:

Lets assume that x=0

Therefore- 2×0-y= -3

                0 - y =-3

Therefore y = -3

Then lets take now the before equation

2x - 3= -3

2x = -3+3

2x=0

x=0÷2

∴ x= 0

Answer is- 0,-3

See image

You have to change the equation so it's in the form y=mx+b.

b is the y-intercept and it is a good starting point and m is the slope and it tells you directions to the next point (also how steep or flat and if it's going up or down) See image

Answer:

79 inches

Step-by-step explanation:

1 foot equals 12 inches

6 feet = 6*12 = 72 inches

72+7=79

79 inches

Answer:

126

Step-by-step explanation:

There are 126 different ways he can wear the outfit.

The definition of the combination is "An arrangement of objects where the order of the objects is irrelevant." Combining these two words indicates "Selection of things," where the order of the items is irrelevant.

Given:

Number of pairs of shoes= 7

Pants= 3 pairs

Shirts= 6

So, different outfits can he​ wear

= 7 x 3 x 6

= 21 x 6

= 126

Hence, there 126 different ways he can wear the outfit.

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Answer:

C) 84

Step-by-step explanation:

Use the Fundamental Counting Principle, which states that if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things. In this case, we have 2 ways to select one object from the first set, 3 ways to select one object from the second set, and 14 ways to select one object from the third set. So, we multiply and do 2*3*14=84

Therefore, there are 84 unique combinations

Answer:

1.5

Step-by-step explanation:

Hope this helped!

Answer: The graph for x cubed has a steep incline levels for a little before another steep incline

explanation: Since choice B is the only one that looks like this the answer is B

Answer:

16 9/10 minutes

Step-by-step explanation:

She is solving 3 questions, so her total time spent =

Total time = Time spent on A + Time spent on B + Time spent on C

30 minutes = 8 7/10 + 4 2/5 + Time C

Time C = 30 minutes - (8 7/10 + 4 2/5)minutes

Time C = 30 minutes - (13 1/0 minutes)

Time C = 16 9/10 minutes

Answer: 16m 54s

Step-by-step explanation:

8 7/10 + 4 2/5 = 13 1/10 or 13m 6s

30m - 13m 6s = 16m 54s

Could i have Brainliest, I am trying to rank up

Answer:

y+6=-3/4(x-2)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-6)=-3/4(x-2)

y+6=-3/4(x-2)

Step-by-step explanation:

6²+12²

36 + 144 is 180

c=√180

The length of the hypotenuse is the square root of 180.

Length is defined as the measurement or extent of something from end to end.

Consider a right-angled triangle of two leg sides (a and b), and c is the third side (hypotenuse).

Given that a = 6 and b = 12,

The Pythagorean theorem states that

c^2 = a^2 + b^2

i.e. c^2 = 36 + 144

c^2 =180

Hence, the length of hypotenuse is square root of 180.

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Answer:

Divide each term in  Y i  =  4  +  1.5 X i  by  i  and simplify.

Y  =  −  4 i  +  1.5 X

Step-by-step explanation:

Answer:

0.3kg

Step-by-step explanation:

Since the weight of 120 books is 36kg, the weight per book will be:

= 36kg / 120

= 0.3kg

Answer: The answer is 1,024.

Explanation: 32^2 is 32 x 32, which is 1,024.

Answer:

[tex]\huge\boxed{y=\sqrt{\dfrac{x-10}{2}}\ \text{for}\ x\geq10}[/tex]

Step-by-step explanation:

[tex]y=5x^2+10\\\\\text{exchange x to y and vice versa}\\\\x=5y^2+10\qquad|\text{subtract 10 from both sides}\\\\x-10=5y^2\qquad|\text{divide both sides by 5}\\\\\dfrac{x-10}{5}=y^2\\\\y^2=\dfrac{x-10}{5}\to y=\sqrt{\dfrac{x-10}{2}}[/tex]

Answer:

7/20

Step-by-step explanation:

Answer:

ok so here is answer option no1

1/8 + 1/4 = 3/8

or you could do

18 plus 14 equals 32divided into 8 equals 4

Step-by-step explanation:

if this is wrong I'm very very very really really really sorry.

Step-by-step explanation:

1. KOL = 90

2.KLO = 25

3.NL= 30

4.KL = 17

workings

1.for angle

KOL =90 : the diagonals of rhombus are perpendicular to each other

2. angle LKO + angle KLO + angle KOL =180 : angles of triangle are supplementary(add to 180)

65+ KLO + 90 =180

KLO +155

KLO = 180 - 155

KLO = 25

3. NL = NO + LO: diagonals of the rhombus bisect each other

NL = 15 +15

NL = 30

4. Cos 25 = 15/KL

multiply by KL on both sides

KL × Cos 25 =15

divide by cos 25 on both sides

KL = 17

Answer:

24/35

Step-by-step explanation:

Hope this helps!:)

Answer:

93.5

Step-by-step explanation:

Answer:

  30 units

Step-by-step explanation:

A graph can help you see the lengths of the sides. This is a right triangle, so the length of the hypotenuse is found using the Pythagorean theorem:

  5² +12² = b² = 169

  b = √169 = 13

The perimeter is 5+12+13 = 30 units.

Answer:

5.832

Step-by-step explanation:

Hey there!

Solve the equation:

x = 7/3 ✅

x + 5x - 14 = 0

>> Add 14 to both sides :

x + 5x - 14 + 14 = 0 + 14

x + 5x = 14

6x = 14

>> Divide each side by 6 :

6x / 6 = 14 / 6

x = 14/6

Simplify the result :

14 / 6 = 2*7 / 2*3 = 7/3

Therefore, your answer is 7/3 .

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Have a good day :)

Answer:

27

Step-by-step explanation:

Answer: i believe x = 4

Step-by-step explanation: 16 - |-4| which is adding two positives and that equals 20 so then its 5x = 20 divide 20 by 5 and you get 4

Step-by-step explanation:

please post the question correctly to get the answer.

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