Answer:
x= -2, x= -10
Step-by-step explanation:
x^2 + 12x + 36 = 16
Began by setting this quadratic equation to 0. To do this, in this equation you must subtract.
x^2+12x+20=0
Next, we plug this into the quadratic formula, where a in this case is 1(there is nothing in front of x^2), b is equaled to 12(there is a 12 as the coeefficient of 12x), and c is equaled to 20.
The quadratic formula is as goes:
(-b+-(this means plus or minus)√b^2-4ac)/(2a)
After pluggin in and simplifying, the answer is x= -2 and x= -10
The first one since the given measurements/guide is Side, Angle, Side
7x - 1 = 5x - 8
Minus 5x on each side
2x -1 = -8
Plus 1 on each side
2x = -7
Divide by 2 on each side
x = -7/2
The number is most likely -7/2
Answer: 24 and 76
Step-by-step explanation:
{
d
+
q
=
100
10
d
+
25
q
=
2140
From the first equation, we have
d
=
100
−
q
Substituting that into the second equation, we have
10
(
100
−
q
)
+
25
q
=
2140
⇒
1000
−
10
q
+
25
q
=
2140
⇒
15
q
=
1140
⇒
q
=
1140
15
=
76
Knowing that
q
=
76
we can substitute that value into the first equation to obtain
d
+
76
=
100
∴
d
=
24
Thus, Sue has
24
dimes and
76
quarters.
