Answer:
6
y
+
3
=
−
4
y
2
Move
4
y
2
to the left side of the equation by adding it to both sides.
6
y
+
3
+
4
y
2
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
4
,
b
=
6
, and
c
=
3
into the quadratic formula and solve for
y
.
−
6
±
√
6
2
−
4
⋅
(
4
⋅
3
)
2
⋅
4
Simplify.
Tap for more steps...
y
=
−
3
±
i
√
3
4
Step-by-step explanation:
Hey there!!
We know angle DEC = angle AEB
Hence,
... 4x + 12 = 5x - 10
... - x = - 22
... x = 22
4 ( 22 ) + 12
88 + 12
100° is the answer.
Hope my answer helps!
Answer:
b = 28/3 or 9.3
Step-by-step explanation:
b-8+2b=20
3b-8=20
3b=20+8
3b=28
Answer:
Part a) GK=(7x+1)
Part b) GH=5 units and JK=8 units
Step-by-step explanation:
Part a) what algebraic expression represents GK?
we know that
GK=GH+HJ+JK
step 1
Find GH
we have
GH=GJ-HJ
substitute the given values
GH=(2x+3)-x=x+3
step 2
Find JK
JK=HK-HJ
substitute the given values
JK=(6x-2)-x=5x-2
step 3
Find GK
GK=GH+HJ+JK
we have
GH=x+3
HJ=x
JK=5x-2
substitute
GK=(x+3)+x+(5x-2)
GK=(7x+1)
Part b) If GK=15, what are GH and JK?
we know that
GK=(7x+1)
For GK=15
substitute the value of GK and solve for x
15=(7x+1)
7x=15-1
7x=14
x=2
<u><em>Find the value of GH</em></u>
GH=x+3
substitute the value of x
GH=2+3=5 units
<u><em>Find the value of JK</em></u>
JK=5x-2
substitute the value of x
JK=5(2)-2=8 units
Answer:
In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the "slope-intercept form".
Step-by-step explanation:
