Answer:
The solutions are -3 and -1
Step-by-step explanation:
∵ y = -x² - 2x + 8
∵ y = 2x + 11
∴ -x² - 2x + 8 = 2x + 11
∴ -x² - 2x - 2x + 8 - 11 = 0
∴ -x² - 4x - 3 = 0 ⇒ divide both sides by -1
∴ x² + 4x + 3 = 0
∴ (x + 3)(x + 1) = 0
∴ x + 3 = 0 ⇒ x = -3
∴ x + 1 = 0 ⇒ x = -1
∴ The solutions are -3 and -1
Answer:
104
Step-by-step explanation:
Let's say that the numbers are x and y. So, we know that....
x+y=186
y-x=22
Now we can use the substitution method to find the numbers. y-x=22 turns into y=22+x. And now we can substitute to the second equation into the first equation.
x+22+x=186
2x=164
x=82
y=22+82
y=104
Our numbers are 82 and 104 and the larger integer is 104, so that's the answer.
Answer:
If you want a fraction it would be -1/4 if you want a decimal it would be -0.25
Step-by-step explanation:
You have to take your X2- your X1 and you take your Y2- your Y1
Then you divide Y/X
So Your X2 would be 6 and X1 would be -6 and that would become a positive 12.
And your Y2 would be 2 and your Y1 would be 5 which would give you -3 when you subtract.
Then divide it 12/-3 which would give you -1/4 since you have to flip your fraction.
I hope this helps
