Answer: (1,-1)
Step-by-step explanation:
- You can multiply the first equation by -1
- Add the equations.
- Solve for x, as following:
- Substitute the value of x into any of the original equations and then you must solve for y:
Therefore, the solution is: (1,-1)
Answer:
Algebraic, common difference = −9
Step-by-step explanation:
The first term of the series is 81, the second term is 72, the third term is 63 and the fourth term is 54.
So, the value of the terms decreases as the number of terms increases and this decrease in value is common and it is 9.
Therefore, the series is Algebraic series and the common difference is - 9. (Answer)
Answer :
Option B
Step by step explanation :
As we can see in figure, Triangle is right angled at A
In ∆ABC
By Pythagoras theorem,
BC² = AC² + AB²
=> BC² = (3)² + (4)²
=> BC² = 9 + 16
=> BC² = 25
=> BC = 5 cm
We know,
=
Here,
base = AC = 3cm
height = AB = 4cm
=> =
=> 
=> 
As BC = DE
And then BD = EC
it shows the property of rectangle
So BD = 6 cm
Now,
=> Area of rectangle = 6cm x 5cm
=> 
Now,
Area of the figure = Area of rectangle + Area of triangle
=> Area of the figure = 30cm² + 6cm²
=> 
Therefore, <u>option B</u> is the correct answer for this question.
Answer:
<u>0.035 grams</u>
Step-by-step explanation:
<u>Grams of salt per gram of ocean water</u>
- Divide the amount of salt by amount of water
- 525 g / 15 kg
- 525 g / 15000 g [∴1 kg = 1000 g]
- 0.035 / 1
For every gram of ocean water, there is <u>0.035 grams</u> of salt dissolved in it.
Answer:
24 pieces
Step-by-step explanation:
Sydney bakes two pies, stephanie brings two more.
Together we have a total of four pies
each pie is cut into 6 pieces, meaning you should multiply the amount of times they cut it by the number of pies.
6 x 4 = 24
