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KatRina [158]
2 years ago
7

Solve

\frac{a-1}{a-3} =\frac{a+1}{a-4}" alt="\frac{a-1}{a-3} =\frac{a+1}{a-4}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
bixtya [17]2 years ago
3 0

Answer:

a=\frac{7}{3}

Step-by-step explanation:

\frac{a-1}{a-3}=\frac{a+1}{a-4}

(a-1)(a-4)=(a-3)(a+1)

a^2-5a+4=a^2-2a-3

-5a+4=-2a-3

-3a+4=-3

-3a=-7

a=\frac{7}{3}

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One day store cost many color in all three nutrients that sweatshirt
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3 years ago
How do I do 8b(ii) ? Please help me thank you!
Mila [183]
Step One
======
Find the length of FO (see below)

All of the triangles are equilateral triangles. Label the center as O
FO = FE = sqrt(5) + sqrt(2)

Step Two
======
Drop a perpendicular bisector from O to the midpoint of FE. Label the midpoint as J. Find OJ

Sure the Pythagorean Theorem. Remember that OJ is a perpendicular bisector.

FO^2 = FJ^2 + OJ^2
FO = sqrt(5) + sqrt(2)
FJ = 1/2 [(sqrt(5) + sqrt(2)]                                           \
OJ = ??

[Sqrt(5) + sqrt(2)]^2 = [1/2(sqrt(5) + sqrt(2) ] ^2 + OJ^2
5 + 2 + 2*sqrt(10) = [1/4 (5 + 2 + 2*sqrt(10) + OJ^2
7 + 2sqrt(10) = 1/4 (7 + 2sqrt(10)) + OJ^2      Multiply through by 4
28 + 8* sqrt(10) = 7 + 2sqrt(10) + 4 OJ^2    Subtract 7 + 2sqrt From both sides
21 + 6 sqrt(10) = 4OJ^2   Divide both sides by 4
21/4 + 6/4* sqrt(10) = OJ^2
21/4 + 3/2 * sqrt(10) = OJ^2 Take the square root of both sides.
sqrt OJ^2 = sqrt(21/4 + 3/2 sqrt(10) )
OJ = sqrt(21/4 + 3/2 sqrt(10) )

Step three
find h
h = 2 * OJ
h = 2* sqrt(21/4 + 3/2 sqrt(10) ) <<<<<< answer.


7 0
3 years ago
Help me fast times-a-ticking
d1i1m1o1n [39]

No, because it has a constant rate of change

By looking at this table

The y value changes at a constant multiple of 2

6  4

7  2 (4-2 is a difference of 2)

8  0 (2-0 is a difference of 2)

9  -2 (0-2 is a difference of 2)

This means it is Linear

8 0
3 years ago
Read 2 more answers
Kim's furniture store is offering a 30% discount on all its armchairs. Using a proportion, find the discount of the price of an
Airida [17]
79.8 is the discount of the price of an armchair that originally cost $266.00......... because 266.00÷30%=79.8
3 0
3 years ago
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What is the exact distance from (-5,1) to (3,0).
Ilya [14]

Answer:

The distance between the two points is \sqrt{65} \ \text{units}.

Step-by-step explanation:

In order to find the distance between two coordinate pairs, we can use the distance formula:

\displaystyle \bullet  \ \ \ d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Our coordinate pairs need to be labeled accordingly, so we can use this naming system:

\bullet  \ \ \ (x_1, y_1), (x_2, y_2)

This assigns a name to our points:

  • x_1 = -5
  • y_1 = 1
  • x_2 = 3
  • y_2 = 0

Therefore, we can plug these into the formula and solve:

d=\sqrt{(3-(-5))^2+(0-1)^2}\\\\d=\sqrt{(8)^2+(-1)^2}\\\\d=\sqrt{8^2+1^2}\\\\d=\sqrt{64+1}\\\\d=\sqrt{65}

Therefore, the distance between the two points is \sqrt{65} \ \text{units}.

5 0
3 years ago
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