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Crank
2 years ago
12

Rationalise the denominator by 6 root 7 minus 1

Mathematics
1 answer:
nikklg [1K]2 years ago
7 0

Answer:

Assuming the numerator was 1.

(6\sqrt{7}+1)/251

Step-by-step explanation:

Assuming the numerator was 1.

1/(6\sqrt{7} -1)\\ (6\sqrt{7}+1)/((6\sqrt{7} - 1)(6\sqrt{7} + 1))\\ (6\sqrt{7}+1)/((6\sqrt{7})^2 + 6\sqrt{7} - 7\sqrt{7} - 1)\\(6\sqrt{7}+1)/((6\sqrt{7})^2 - 1)\\(6\sqrt{7}+1)/((36*7 - 1)\\(6\sqrt{7}+1)/251

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Which is a unit rate?<br> A. 1/7 <br> B. 48/4<br> C. 34/1 <br> D. 40/5
BartSMP [9]
So,

Normally a unit rate will be x per 1y.  Example: 60 miles/1hr.

Therefore, the option with the denominator as 1 would be the unit rate.

The correct option is C.
4 0
3 years ago
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Given that the measure of angle 6 is 1/8 of measure of angle 4. Find the measures of these two angles if a∥b.
vredina [299]

Answer:

see explanation

Step-by-step explanation:

Let ∠4 be x then ∠6 is \frac{1}{8} x

∠4 and ∠6 are same side interior angles and are supplementary, thus

x + \frac{1}{8}x = 180

Multiply through by 8 to clear the fraction

8x + x = 1440, that is

9x = 1440 ( divide both sides by 9 )

x = 160

Hence ∠4 = 160° and ∠6 = 160° ÷ 8 = 20°

8 0
3 years ago
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The probability of a football team winning a match is 0.55. What is the probability of the same football team drawing a match?
Ahat [919]

Answer:

Step-by-step explanation:

0.15

Step-by-step explanation:

1 -  P winning - P losing = P drawing

1 - 0.3 - 0.55 = 0.15

4 0
2 years ago
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How to find the equation of this line?
Bad White [126]

Answer:

y = - \frac{6}{7} x - \frac{10}{7}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 4, 2 ) and (x₂, y₂ ) = (3, - 4) ← 2 points on the line

m = \frac{-4-2}{3+4} = - \frac{6}{7} , thus

y = - \frac{6}{7} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 4, 2 ), then

2 = \frac{24}{7} + c ⇒ c = 2 - \frac{24}{7} = - \frac{10}{7}

y = - \frac{6}{7} x - \frac{10}{7} ← equation of line

5 0
3 years ago
7th grade stuff for fun Pemdas ;) ​
Marrrta [24]

im pretty sure the answer is 16

Step-by-step explanation:

the drinks are 10

, burgers are 5 and each of the fries are 1. Since there is one of each, it will be like this 10+5+1

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2 years ago
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