Answer:
Given the equation:
A quadratic equation is in the form: where a, b ,c are the coefficient and a≠0 then the solution is given by :
......[1]
On comparing with given equation we get;
a =3 , b = 10
then, substitute these in equation [1] to solve for c;
Simplify:
Also, it is given that the difference of two roots of the given equation is
i.e,
Here,
, ......[2]
.....[3]
then;
simplify:
or
Squaring both sides we get;
Subtract 100 from both sides, we get
Simplify:
-12c = -96
Divide both sides by -12 we get;
c = 8
Substitute the value of c in equation [2] and [3]; to solve
or
or
Simplify:
Now, to solve for ;
or
or
Simplify:
therefore, the solution for the given equation is: and -2.
The greatest common factor (GCF) of 63 and 96 is: 3
To find the GCF, list all the factors until that go up to 63 since that is the minimum.
Factors of 63: 1, 3, 7, 9, 21, 63
Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48
Find the common factors between the two numbers which are 1 and 3. Now, which one of those numbers are the greatest/highest? The answer is 3.
7. (1,2),(0,-1)
slope = (-1 - 2) / (0 - 1) = -3/-1 = 3 <==
8. (-1,0),(1,-1)
slope = (-1 - 0) / (1 - (-1) = -1 / 2 <==
119.9 degree
i used the pythagorean theorem to find it
Answer:
15x + 190 >= 400
* >= means greater than or equal to *
at least 14 friends
Step-by-step explanation:
without the inequality it'd be 15x + 190 = 400
but since you want it to be at least 400 you change the = to the greater than or equal to sign
15x + 190 = 400 * subtract 190 from both sides*
15x = 210 *divide both sides by 15*
x = 14