Answer:
10ft
Step-by-step explanation:
(9+w)w=252 or w(w+9)=252.
The quadratic equation applies: w²+9w-252=0=(w+21)(w-12), so w=12, because a negative zero is meaningless.
So the dimensions are width=12 in and length=21 in.
Answer:
105°, 75°, and 105°.
Step-by-step explanation:
If two straight paths intersect at a point , four angles will be formed.
These are pairs of vertical angles.
The adjacent angles add up to 180°
If one of the angles is 75°, the supplement will be

Therefore the three other angles will be , 105°, 75°, and 105°.
Answer:
The original price is 337.50
Step-by-step explanation:
If we get 20% off, we still have to pay 100-20 =80%
Let x be the original price
x *80% = 270
.80x = 270
Divide each side by .80
.80x/.80 = 270/.80
x =337.50
The original price is 337.50
Answer:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
2
,
4
)
Focus:
(
2
,
15
/4
)
Axis of Symmetry:
x
=
2
Directrix:
y
=
17
/4
x y
0 0
1 3
2 4
3 3
4 0
To find the x-intercept, substitute in
0 for y and solve for x
. To find the y-intercept, substitute in 0 for x and solve for y
.
x-intercept(s): (
0
,
0
)
,
(
−
4
,
0
)
y-intercept(s): (
0
,
0
)
Step-by-step explanation: