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Nadusha1986 [10]
3 years ago
8

Choose the equation of the horizontal line that passes through the point (-2,-1)

Mathematics
1 answer:
Vinil7 [7]3 years ago
5 0

Answer:

y =-1

Step-by-step explanation:

We are given a point (-2,-1)

Also given that a horizontal line passes through the above point.

We have to find the equation of the horizontal line.

We know that any straight line in xy plane is of the form

y = mx+b where m=slope of line and b = y intercept.

Here given that the line is horizontal and hence the angle it makes with x axis is 0.

Slope of line= m = tan 0 =0

Hence equation of line using point slope form is

y-y1 = m(x-x1) .  Here m =0 and (x1,y1) = (-2,-1)

Hence equaiton of line is

y+1 =0(x+2)

Or y =-1

So option A is right answer.

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Intel estimates that about 12 quintillion transistors are shipped around the globe each year. If that represents 10,000 times th
ra1l [238]

Answer:

Number on ants on Earth = 1.2 × 10¹⁵

Step-by-step explanation:

1 quintillion = 10¹⁸ or (1000000000000000000)

∴ 12 quintillion = 12 × 10¹⁸

12 quintillion = 10,000 × Number of ants on Earth

Let the number of ants on Earth = n

12 quintillion = 10,000 × n

dividing both sides by 10,000

12 quintillion ÷ 10,000 = n

n = \frac{12\ \times\ 10^{18} }{10,000} \\n =  \frac{12\ \times\ 10^{18} }{10^{4}}\\n = 12\ \times\ \frac{10^{18}}{10^{4}} \\applying\ the\ second\ law\ of\ indices\ (\frac{x^m}{x^n} = x ^{m-n})\\ n = 12\ \times\ 10^{(18 - 4)\\n = 12\ \times 10^{14}\\in\ standard\ form\\n = 1.2\ \times 10\ \times\ 10^{14}\\\therefore n = 1.2\ \times\ 10^{15}

Number on ants on Earth = 1.2 × 10¹⁵

6 0
3 years ago
Your Olympic team wins 48 medals in the spring. The medals are gold, silver, and bronze in a ratio of 2 : 1 : 5. How many of eac
Rudiy27

Answer:

12, 6 and 30

Step-by-step explanation:

Step one:

given data

Number of medals = 48 medals

The given ratio is = 2:1:5

The total ratio is = 2+1+5= 8

Step two;

Applying the part to all method

for Gold we have

2/8=x//48

cross multiply

8x= 48*2

divide both sides by 8

x= 96/8

x= 12

gold is 12

for silver we have

1/8=x//48

cross multiply

8x= 48*1

divide both sides by 8

x= 48/8

x= 6

silver is 6

for bronze we have

5/8=x/48

cross multiply

8x= 48*5

divide both sides by 8

x= 240/8

x= 30

Bronze  is 30

5 0
3 years ago
The show the work for these problems
pychu [463]

Answer:

Part A $150.00

Part B $140.00 because you would do 35 x 4 = 140.

Part C, He will have $17 left over. You would take 167 - 140 = 17

Question 5, The would have gathered $150 because you would take 30 x 5 = 150.





6 0
3 years ago
A carton of one dozen eggs costs $1.92. What is the unit price of each egg?
telo118 [61]

Answer:

$0.16

Step-by-step explanation:

unit price = price of carton / number of eggs

unit price = $1.92/12

unit price = $0.16

5 0
2 years ago
(-9)-(-13)+(3)<img src="https://tex.z-dn.net/?f=" id="TexFormula1" title="" alt="" align="absmiddle" class="latex-formula">
Cloud [144]
Hi,

( - 9) - ( - 13) + (3)  \\  - 9 - ( - 13) + (3) \\  - 9 + 13 + 3 = 7

Hope this helps.
r3t40
4 0
3 years ago
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