Answer:
(-12, 0)
Step-by-step explanation:
They are asking for the coordinates of the given point on the plane.
Therefore, since the point is on the x axis, we know that its y-coordinate must be zero. y = 0
Now, since it is 12 units to the left of the y axis, then its x coordinate is -12
x = -12
Therefore, the point in plane coordinates is written as: (-12, 0)
Answer:
65449.8 cm3
Step-by-step explanation:
We start with the volume formula for a sphere: 4/3 πr3
We start with subbing in 25 to r, then we cube 25, which is equal to 15625.
We multiply 4/3 and pi. And lastly we multiply what we got by 15625 and either round the answer or fphaving fixed your calculator.
Given:
The graph of a downward parabola.
To find:
The domain and range of the graph.
Solution:
Domain is the set of x-values or input values and range is the set of y-values or output values.
The graph represents a downward parabola and domain of a downward parabola is always the set of real numbers because they are defined for all real values of x.
Domain = R
Domain = (-∞,∞)
The maximum point of a downward parabola is the vertex. The range of the downward parabola is always the set of all real number which are less than or equal to the y-coordinate of the vertex.
From the graph it is clear that the vertex of the parabola is at point (5,-4). So, value of function cannot be greater than -4.
Range = All real numbers less than or equal to -4.
Range = (-∞,-4]
Therefore, the domain of the graph is (-∞,∞) and the range of the graph is (-∞,-4].
1. 4g= 37-5
⇒ 4g= 32
⇒ g= 32/4
⇒ g= 8
2. c= 5*6
⇒ c= 30
3. f+4= 3*5
⇒f+4= 15
⇒ f= 15-4
⇒ f= 11.
4. b+6= 30/5
⇒ b+6= 6
⇒ b= 6-6
⇒ b=0
5. a-5= 60/5
⇒ a-5= 12
⇒ a= 12+5
⇒ a= 17
6. e+2= 45/5
⇒ e+2= 9
⇒ e= 9-2
⇒ e= 7
7. d-5= 12/3
⇒ d-5= 4
⇒ d= 4+5
⇒ d= 9
8. m-4= 16/4
⇒ m-4= 4
⇒ m= 4+4
⇒ m= 8
9. q+6= 30/5
⇒ q+6= 6
⇒ q= 6-6
⇒ q= 0
10. h/3= 3+5
⇒ h/3= 8
⇒ h= 8*3
⇒ h= 24
11. 3c= 3-5
⇒ 3c= -2
⇒ c= -2/3
12. x/3= 6-7
⇒ x/3= -1
⇒ x= -1*3
⇒ x= -3
13. 6p= 2+1
⇒ 6p= 3
⇒ p= 3/6
⇒ p= 1/2
14. 2d-7= 27/3
⇒ 2d-7= 9
⇒ 2d= 9+7
⇒ 2d= 16
⇒ d= 16/2
⇒ d=8
15. b-3= 5/2
⇒ b-3= 2.5
⇒ b= 2.5+3
⇒ b= 5.5
16. y-1= 1/3
⇒ y= 1/3+1
⇒ y= 1 1/3
17. 5v= 9-3
⇒ 5v= 6
⇒ v= 6/5
⇒ v= 1.2
18. n-3 = 3*6
⇒ n-3= 18
⇒ n= 18+3
⇒ n= 21
19. t+10= 1*4
⇒ t+10= 4
⇒ t= 4-10
⇒ t= -6
20. 3c+4= 3*5
⇒ 3c+4= 15
⇒ 3c= 15-4
⇒ 3c= 11
⇒ c= 11/3
⇒ c= 3 2/3
Hope this helps~