Answer:
x
=
±
2
√
3
−
3
Step-by-step explanation:
Add
3
to both sides of the equation.
x
2
+
6
x
=
3
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of
b
.
(
b
2
)
2
=
(
3
)
2
Add the term to each side of the equation.
x
2
+
6
x
+
(
3
)
2
=
3
+
(
3
)
2
Simplify the equation.
Tap for more steps...
x
2
+
6
x
+
9
=
12
Factor the perfect trinomial square into
(
x
+
3
)
2
.
(
x
+
3
)
2
=
12
Answer:
y+4=-3(x+0) or y=-3x-4
Step-by-step explanation:
so you have to make it in form y=mx+b
that would be y=1/3x-2/3
for a perpendicular line, you would need to find the opposite reciprocal of the slope
3/1 or 3 would be the reciprocal, so to make it opposite would be -3
So it would be y-y1 = m(x-x2)
fill it in with the coordinates (0,-4)
y+4=-3(x-0)
to get it to slope intercept form you have to simplify, and after that you get y=-3x-4
Intersection (repeated element in the set)
A={-9,0,5}
B={0,2,5,8}
C={-9,2,5}
Ans: C, {5}
*In set B and C, element 2 was repeated but not for set A.
Answer
Find out the how much prize money did she win.
To proof
Let us assume that the total amount prize money did she win be u.
As given
Mrs.Gill won certain prize money in a cooking competition.
She spent half of the prize money on the clothes
one third on grocery
(L.C.M of (2,3) =6 )
gave away the remaining Rs.2000 to an orphanage
u =Rs 12000
Rs 12000 prize money did she win.
Hence proved
Answer is <span>16y + 7z
</span><span><span><span><span>9y</span>+<span>11z</span></span>+<span>7y</span></span>−<span>4z
</span></span><span>=<span><span><span><span><span>9y</span>+<span>11z</span></span>+<span>7y</span></span>+</span>−<span>4z
</span></span></span>Combine Like Terms:
<span>=<span><span><span><span>9y</span>+<span>11z</span></span>+<span>7y</span></span>+<span>−<span>4z
</span></span></span></span><span>=<span><span>(<span><span>9y</span>+<span>7y</span></span>)</span>+<span>(<span><span>11z</span>+<span>−<span>4z</span></span></span>)
</span></span></span><span>=<span><span>16y</span>+<span>7z</span></span></span><span>
</span>
