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Keith_Richards [23]
3 years ago
9

Help please i will thank you a lot.

Mathematics
1 answer:
ANEK [815]3 years ago
4 0
Your answer would be (6,8)
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If(√14/√7-2)-(√14/√7+2)=a√7+b√2 find the values of a and b where a and b are rational numbers​
seraphim [82]

Answer:

  • a = 4/3 and b = 0

============================

<h2>Given expression:</h2>

\dfrac{\sqrt{14} }{\sqrt{7}-2} -\dfrac{\sqrt{14} }{\sqrt{7}+2}

<h2>Simplify it in steps:</h2>

<h3>Step 1</h3>

Bring both fractions into common denominator:

\dfrac{\sqrt{14} (\sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} - \dfrac{\sqrt{14} (\sqrt{7}-2)}{(\sqrt{7}-2)(\sqrt{7}+2)}

<h3>Step 2</h3>

Simplify:

\dfrac{\sqrt{14} ((\sqrt{7}+2) - (\sqrt{7}-2))}{(\sqrt{7}-2)(\sqrt{7}+2)} =

\dfrac{\sqrt{14} (\sqrt{7}+2 - \sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} =

\dfrac{4\sqrt{14} }{(\sqrt{7}-2)(\sqrt{7}+2)} =

\dfrac{4\sqrt{14} }{(\sqrt{7})^2-2^2} =

\dfrac{4\sqrt{14} }{7-4} =

\dfrac{4}{3}  \sqrt{14} }

<h3>Step 3</h3>

Compare the result with given expression to get:

  • a = 4/3 and b = 0

4 0
2 years ago
Find the area of the shaded regions. GIve your answer as a completely simplified exact value in terms of pi. (No approximations)
Anon25 [30]

Answer:

A = 27π cm²

Step-by-step explanation:

Area of the shaded region = area of full circle of O - Area of the unshaded sector

= (πr²) - (θ/360*πr²)

Where,

r = 6 cm

θ = 360

Area of shaded region = (π*6²) - (90/360*π*6²)

= (36π) - (¼*π*36)

= 36π - 9π

Area of shaded region = 27π cm²

4 0
2 years ago
The sum of the ages of dauda and his brother is 2. Five years ago dauda was 3times as old as his brother . How old are they now
Aloiza [94]

Answer:

dauda = x \\ his \: brother = y \\ x + y = 2 \:  \:  \: (i) \\ 5(3x + y) = 5 \:  \:  \: (ii) \\ 15x + 5y = 5

I don't really remember this very well, because it confusing me

8 0
2 years ago
Which of the following equations represents the line that is graphed on the coordinate grid below?
tatiyna

Answer:

y = -(1/3)x + 2

Step-by-step explanation:

Keeping in mind the equation of a line: y = mx + c

Notice three discernible points on the graph: (0,2), (3,1), (6,0).

The first and last points mentioned represent the intercept on y-axis and the intercept on x-axis respectively.

Therefore, when x = 0, y = 2. And 2 = m(0) + c

c = 2

Also, when y = 0, x = 6. And 0 = 6m + 2

6m = -2. And m = -(2/6) = -(1/3)

Therefore, y = -(1/3)x + 2

8 0
3 years ago
Help me (I will give brainlist)
mel-nik [20]
Ok I got 2,131 I hope that helps!
6 0
3 years ago
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