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MrRissso [65]
3 years ago
8

Solve these equations below simultaneously:y=x^2;y=x+2

Mathematics
1 answer:
Alex777 [14]3 years ago
7 0

Answer:

(x, y) = (2, 4) or (-1, 1)

Step-by-step explanation:

y = x^2

y = x + 2

=> x^2 = x + 2

Transfer all terms to the left, we have:

=> x^2 - x - 2 = 0

Perform some modifications, we have:

=> x^2 + x - 2x - 2 = 0

Let's group the left-side terms up.

=> x(x + 1) - 2(x + 1) = 0

=> (x - 2)(x + 1) = 0

=> x = 2 => y = x + 2 = 2 + 2 = 4

=> x = -1 => y = x + 2 = -1 + 2 = 1

=> Solution is (x, y) = (2, 4) or (-1, 1)

Hope this helps!

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5) Find the distance between -9 and 12 on a number line.​
kati45 [8]

Answer: Hope this helps!!!

Step-by-step explanation:Absolute Value: You need to find how far away both numbers are from zero, then add these values together to see how far apart these numbers. The absolute value of nine, |-9| is 9, and |12| is 12. This means that the nine is nine spots away from zero, and twelve is twelve spots from zero. This means that the numbers are 20 units from each other.

Distance -9 is from 12 You need to find how much of an increase from nine you need to reach the twelve. So -9 + ? = 12. What number can you add to equal twelve? You can add 20 to make the equation true. (? = 20) The distance from -9 to 12 is a positive 20.

Distance from 12 to -9 This is similar to the previous example. What number can you insert to make the 12 equal the negative nine? 12 - ? = -9. The number would be -20, which means that 12 is 20 spots away from the negative nine, as it took at negative twenty to get us to the negative nine.

3 0
3 years ago
A sector from a radius 4 circle has an area of 8 square feet. Find the perimeter of the sector. Use an exact answer.
Ludmilka [50]

Answer:

I'm not sure how to solve the question what kind of math is it

8 0
3 years ago
The perimeter of parallelogram ABCD is 46 inches.What is DA?
Shkiper50 [21]

Answer:

3

Step-by-step explanation:

4 0
3 years ago
Find two consecutive numbers whose squares differ by 45
Wittaler [7]

Answer:

The 2 numbers are 22 and 23

Step-by-step explanation:

let the two numbers be x and x+1

according to the question:

(x+1)^2 - x^2 = 45

x^2+1+2x - x^2 = 45

2x + 1 = 45

2x= 44

x = 22

the other number is x+1 = 22+1 = 23

therefore, the two consecutive numbers are 22 and 23

Hope it helped u....

5 0
3 years ago
2 Points
sasho [114]

Answer:

x-3

Step-by-step explanation:

f(x) = 3x - 2

g(x) = 2x + 1,

(f- g)(x) =  3x - 2  - ( 2x+1)

Distribute

            = 3x -2 -2x-1

Combine like terms

             x-3

4 0
4 years ago
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