Answer:
can you take a picture of the options?
Step-by-step explanation:
Answer:
The tall of the flag pole is 51 ft answer (A)
Step-by-step explanation:
∵ The tall of the man = 6 ft
∵ The his shadow = 10 ft
∵ The shadow of the flag pole = 85 ft
∵ Tall of the man/tall of the flag = shadow of the man/shadow
of the flag
∴ 6/x = 10/85 ⇒ where x is the tall of the flag
∴ x = (6 × 85) ÷ 10 = 510 ÷ 10 = 51 ft
∴ The tall of the flag pole is 51 ft
Answer:
The x-intercepts are
(x1,y1)=(4,0)
(x2,y2)=(6,0)
Step-by-step explanation:
we know that
The equation of the given parabola is
![(y-k)=a(x-h)^{2}](https://tex.z-dn.net/?f=%28y-k%29%3Da%28x-h%29%5E%7B2%7D)
we have
the vertex is the point (5,-4)
substitute
![(y+4)=a(x-5)^{2}](https://tex.z-dn.net/?f=%28y%2B4%29%3Da%28x-5%29%5E%7B2%7D)
The y-intercept is the point (0,96)
substitute and solve for a
![(96+4)=a(0-5)^{2}](https://tex.z-dn.net/?f=%2896%2B4%29%3Da%280-5%29%5E%7B2%7D)
![100=a(25)](https://tex.z-dn.net/?f=100%3Da%2825%29)
![a=100/25=4](https://tex.z-dn.net/?f=a%3D100%2F25%3D4)
The equation of the vertical parabola is equal to
![(y+4)=4(x-5)^{2}](https://tex.z-dn.net/?f=%28y%2B4%29%3D4%28x-5%29%5E%7B2%7D)
Find the x-intercepts
Remember that
The x-intercepts are the values of x when the value of y is equal to zero
For y=0
![4=4(x-5)^{2}](https://tex.z-dn.net/?f=4%3D4%28x-5%29%5E%7B2%7D)
Simplify
![1=(x-5)^{2}](https://tex.z-dn.net/?f=1%3D%28x-5%29%5E%7B2%7D)
Rewrite
![(x-5)^{2}=1](https://tex.z-dn.net/?f=%28x-5%29%5E%7B2%7D%3D1)
square root both sides
![(x-5)=(+/-)1](https://tex.z-dn.net/?f=%28x-5%29%3D%28%2B%2F-%291)
![x=(+/-)1+5](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%291%2B5)
![x=(+)1+5=6](https://tex.z-dn.net/?f=x%3D%28%2B%291%2B5%3D6)
![x=(-)1+5=4](https://tex.z-dn.net/?f=x%3D%28-%291%2B5%3D4)
therefore
The x-intercepts are
(x1,y1)=(4,0)
(x2,y2)=(6,0)
Dance class is at 3:45pm, because the dance studio would not be open that early.
Answer:
x = 1/2 y = -1/3
Step-by-step explanation:
Split it into 2 equations:
10x-9y=8
and
21y+15x=0.5
10x - 9y = 8
Step 1: Divide both sides by 10:
x = (8+9y)/(10)
Substitute x = (8+9y)/(10) into 21y+15x=0.5 :
21y + (3(8+9))/(2) = 0.5
Solve for y
<u>y= -1/3</u>
Substitute y= -1/3 into x = (8+9y)/(10)
<u>x = 1/2</u>
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