Answer:
1) (-3,-2)
2) x=-3
Step-by-step explanation:
1) The vertex of a parabola is the turning point that is the minimum or maximum of the graph, based on the shape of the parabola. In this case, the vertex is the minimum. By looking at the coordinate points, we can tell that the minimum value where the graph changes the direction is at (-3,-2).
2) The line of symmetry is the line on the graph that cuts the shape exactly in half. This means that if you were to fold the graph along this line, the two sides would be identical. All parabolas have a line of symmetry and it always matches the vertex. The equation for the line of symmetry will be x= whatever the x-value of the vertex is. So, for this graph, the line of symmetry is x=-3.
Answer:
(3,1) --> One solution
Step-by-step explanation:
Start by multiplying the first equation by 4:
-7x(4)+2y(4)=-19(4)
-28x+8y=-76
In this scenario, we can eliminate 8y by subtracting the two equations:
-34x=-102
Divide both sides by -34
x=3
Plug 3 back in for x to solve for y
-7(3)+2y=-19
-21+2y=-19
Add 21 to both sides
2y=2
Divide both sides by 2
y=1
(x,y)=(3,1)
Answer:
The radius is 25 cm
A
Step-by-step explanation:
Area =
* r^2
Area = 625 *
625 = * r^2 The s cancel out
r^2 = 625 Take the square roots of both sides
sqrt(r^2) = sqrt(625)
r = 25
Answer:
6 weeks
Step-by-step explanation:
We need to find the common multiple of 3 and 2. The multiple of 2 and 3 is 6.
So on the 6th week.
I hope I could help!
Answer:
11. 10/9 = 80/72
12. 8/12 = 72/108
13. 22/99 = 2/9
14 4 41/123 = 4 1/3
15. 84/840 = 1/10
16. 6/14 vs 3/7 (cross multiply numerators and denominators)
42 vs 42
Therefore 6/14 = 3/7
17. 2/3 vs 5/7 (cross multiply numerators and denominators)
14 vs 15
Therefore 2/3 < 5/7
18. 1/5, 1/2, 1/4 (Change to decimals then compare)
.20 .50 .25
Therefore increasing order is 1/5, 1/4, 1/2
19. 5/7, 5/6, 7/9 (Change to decimals then compare)
.71 .83 .77
Therefore increasing order is 5/7, 7/9, 5/6
Step-by-step explanation:
