Answer:
Step-by-step explanation:
Given:
Vertex of the parabola is, 
Equation of the parabola in vertex form is given as:
Plug in 
. This gives,
Therefore, the equation of the given graph is
.
Answer:
1. 1072.6
2. 753.6
3. 194.2
4. 59.5
5. 4848.3
6. 1818.3
Step-by-step explanation:
We have to use the trigonometric functions sin, cos, and tan. Remember the mnemonic SOH-CAH-TOA when solving these problems. (sinθ=opposite/hypotenuse, cosθ=adjacent/hypotenuse, tanθ=opposite/adjacent)
1. tan(40)=900/x
x=900/tan(40)
x=1072.6
2. tan(37)=x/1000
1000tan(37)=x
753.6=x
3. sin(18)=60/x
x=60/sin(18)
x=194.2
4. sin(48)=x/80
80sin(48)=x
59.5=x
5. tan(22)=x/12000
12000tan(22)=x
4848.3=x
6. tan(33)=x/2800
2800tan(33)=x
1818.3=x
Answer:
x ≈ -0.90, y ≈ 2.31
x ≈ 1.40, y ≈ 9.19
Step-by-step explanation:
Easiest and fastest way to do this is to graph the systems of equations and trace where the graphs intersect:
Answer:
17.98 square meters
Step-by-step explanation:
find the area of rectangle
length x width
6.2x1.8= 11.16
find area of triangle
base x height x 1/2
base= 6.2
height= 4-1.8= 2.2
area=2.2 x 6.2 x 1/2 = 6.82
add both together to get area of figure
6.82 + 11.16 = 17.98
Y = 5 x 3 + 8
y = 15 + 8
y = 23
