Equating the y's:-
3x + c = x^2 - 5x + 7
x^2 - 8x +7 - c = 0
If y = 3x + c is a tangent then there will be duplicate solutions to this equation
That is the discriminant b^2 - 4ac = 0. So we have:-
(-8)^2 - 4 * 1 * (7 -c) = 0
64 -28 + 4c = 0
4c = - 36
so c = -9 answer
Answer:female
Step-by-step explanation:
We need to use the variables m and n to represent both numbers.
Their sum must equal -15. Therefore, we can write the next equation:
m + n = -15
If one number is five less than the other, we need to choose one variable and then we can write it in terms of the other variable. Then:
n = m-5
To find the value for each number, we can replace the n equation on the first equation:
m + n = -15
m + (m-5)= -15
Then:
m + m - 5 = -15
2m -5 = -15
Solve the equation for m:
Add both sides 5 units:
2m - 5 +5 = -15+5
2m = -10
Divide both sides by 2:
2m/2 = -10/2
m = -5
Finally, replace the m value on the first equation:
m + n = -15
-5 + n = -15
Then, solve the equation for n:
Add both sides by 5:
-5+5 + n = -15 +5
n = -10
Hence, both numbers are m=-5 and n= -10.
The equations separated by a comma are m + n = -15,n = m-5.
The numbers separated by a comma are -5,-10.
4 (k+3) (k+) is the answer
Answer:
Dep
Step-by-step explanation:
I guess Dep., Because Depending on which side it lands Is the outcome.