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Olegator [25]
3 years ago
12

Lamar is solving the equation x2−12x=−6 by completing the square. Which shows Lamar's next step and the solution to the equation

?
Mathematics
1 answer:
Lyrx [107]3 years ago
5 0

x2 - 12x = -6

Your next step would be to add 36 to both sides.

x2 - 12x + 36 = 30

In completing the square, we divide the term before x by 2, and then square it and add it to both sides.

12 / 2 = 6

6^2 = 36

That would be the next step.

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-31+(-42)=<br> 38+(-43)=
Mice21 [21]

Answer:

-31+(-42)= -31-42 = -73

38+(-43)= 38-43 = -5

(-) - (-) = +

(-)+(-) = +

(-)+(+) = -

3 0
3 years ago
Farmer frank owns a piece of grassland. The grass grows at a constant rate and each cow eats at a constant rate. 12 cows can eat
MrRa [10]

Answer: There are 36 cows that can eaten 72 acres of grass in 126 days.

Step-by-step explanation:

Let x be the amount of grass in an acre initially.

Let y be the amount of grass grown in an acre per day.

Since we have given that

12 cows can eat 10 acres of grass in 28 days

12×28  = 10x + 10×28 y

336 = 10x + 280 y----------------------------(1)

Similarly,

21 cows can eat 30 acres of grass in 63 days.

21×63  = 30x + 30×63 y

1323 = 30x +1890 y ---------------------------(2)

So, by graphing method, we get the value of x and y

x=\dfrac{126}{5},\ y=\dfrac{3}{10}

So, we have,  72 acres of grass in 126 days, we need to find the number of cows.

So, it becomes,

c×126 = 72x + 72×126 y

126c=72\times \dfrac{126}{5}+72\times 126\times \dfrac{3}{10}\\\\126x=4536\\\\x=\dfrac{4536}{126}\\\\x=36

Hence, there are 36 cows that can eaten 72 acres of grass in 126 days.

3 0
2 years ago
8c + c<br><br>I need this answer asap​
Elden [556K]

Answer:

9c

Step-by-step explanation:

8c +c = 9c

7 0
3 years ago
The difference between the squares of two consecutive numbers is 23. what are the two numbers?
Ksju [112]

(x+1)^2-x^2=23

x^2+2x+1-x^2=23

2x+1=23

2x=22

x=11

11^2 = 121

x+1 =12

12^2=144

144-121 = 23

4 0
3 years ago
Which expression can be used to find the volume of the sphere? 10 in. ​
julsineya [31]

Answer:

its the 3rd one

Step-by-step explanation:

5 0
3 years ago
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