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crimeas [40]
3 years ago
10

Write the rational number -1, in the form , where a and b are integers.

Mathematics
1 answer:
iogann1982 [59]3 years ago
3 0

Answer:

2nd option

Step-by-step explanation:

- 5 = \frac{-5}{1} ← in the form \frac{a}{b}

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Choose the solution(s) of the following system of equations x2 + y2 = 6 x2 – y = 6
ElenaW [278]
<h2>Answer</h2>

x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1

Or as ordered pairs: (\sqrt{6} ,0),(-\sqrt{6} ,0),(\sqrt{5} ,-1),(-\sqrt{5} ,-1)

<h2>Explanation</h2>

Lets solve our system of equations  step by step

x^2+y^2=6 equation (1)

x^2-y=6 equation (2)

1. Solve for x^2 in equation (2)

x^2-y=6

x^2=6+y equation (3)

2. Replace equation (3) in equation (1) and solve for y

x^2+y^2=6

6+y+y^2=6

y^2+y=0

y(y+1)=0

y=0 or y=-1

3. Replace the values of y in equation (3) and solve for x

- For y=0

x^2=6+y

x^2=6

x=\sqrt{6} or x=-\sqrt{6}

- For y=-1

x^2=6+y

x^2=6-1

x^2=5

x=\sqrt{5} or x=-\sqrt{5}

So, the solutions of our system of equation are:

x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1

6 0
3 years ago
Read 2 more answers
Write the following integers in a decreasing order. 1. 0,7,-3,9,-132,36​
Elan Coil [88]
ANSWER:
36 > 9 > 7 > 0 > -3 > -132

Hope it helps u!
6 0
3 years ago
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Find the measure of the indicated angle.
marusya05 [52]

Answer:

the answer is 96°

Step-by-step explanation:

it is an isosceles triangle as it's 2 sides are equal.

for an isosceles triangle, the angles made by the equal sides with the third side are equal.

and the sum of all angles in a triangle = 180°

42 + 42 + x = 180

x = 180 - 84

X = 96°

4 0
3 years ago
A) A shopkeeper marks the price of an article R's. 550 and gives the customer discount of 10℅.In this way, he gains Rs 75 on the
kumpel [21]

Answer:

Marked Price =MP=550 Marked Price =MP=550

Selling Price=SP=550-10%=550-55=495Selling Price=SP=550-10%=550-55=495

The profit earned is , SP−Profit=CP(CostPrice)The profit earned is , SP−Profit=CP(CostPrice)

CP=495−75=420CP=495−75=420

The difference of MP and CP is 550−420=130The difference of MP and CP is 550−420=130

 The percentage of difference w.r.t CP is  The percentage of difference w.r.t CP is 

130420×100=30.95%

Step-by-step explanation:

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5 0
2 years ago
Naomi has 45 minutes to get ready for school. She spends x minutes getting dressed. Write an expression that represents the numb
Ronch [10]
45+x=y 45 minutes to get ready plus x time spending getting dressed equals y (the total time to get ready for school)
4 0
3 years ago
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