x + y = -9
x + 2y = -25
Rewrite the first equation as x = -9-y
Relace x in the second equation:
-9-y + 2y = -25
Simplify:
-9 +y = -25
Add 9 to both sides:
y = -16
Now you know y,, replace y in the first equation and solve for x:
x -16 = -9
Add 16 to both sides:
x = 7
Answer: x = 7
X/32= 25/100
100x, 800
800 divided by 100= 8
X = 8 games
Answer:
12/15
Step-by-step explanation:
Answer:
A: ![f(2x)](https://tex.z-dn.net/?f=f%282x%29)
Step-by-step explanation:
In this case it can be seen that the x values are being affected by this transformation. This means that we should look for points on f and g with the same y value but different x values. However in this case it is hard to pinpoint easy coordinates to work with. This is where process of elimination can help. We know it cant be B or C because if the dilation ratio is outside the function, the y values would be affected. That leaves it to A or D. We can see that g has shrunk from the original function. Shrinking along the x-values can be notated by the reciprocal of the factor of shrinking. In this case it looks like it shrunk down to half of the originals size. If we take the reciprocal of a half we get 2. Therefore if we plug that in we get:
![f(2x)](https://tex.z-dn.net/?f=f%282x%29)
Answer:
11) x = 4
12) x = 12
13) A = 45
14) A = 40
Step-by-step explanation:
All triangle angles must add up to 180 degrees. If they do not, the triangle is not considered a triangle.
So for triangle 11, solve using the equation: (16x + 4) + 47 + 65 = 180. First add 47 + 65 together to get 112. Subtract 112 from both sides to get (16x + 4) = 68. Subtract 4 from both sides to get 16x = 64. Divide 16 from both sides to get x = 4. Use the same technique for the other triangle.
For triangle 12, solve using the equation: (3x + 9) + 60 + 75 = 180. Add 60 + 75 to get 135. Subtract 135 from both sides to get (3x + 9) = 45. Subtract 9 from both sides to get 3x = 36. Divide 3 from both sides to get x = 12.
For triangle 13, solve using the equation: (62 + x) + (x + 51) + 79 = 180. For this equation, add the common variable first to get 113 + 2x + 79 = 180. You can still further simplify by adding 113 + 79 to get 192. The new equation is 192 + 2x = 180. Subtract 192 from both sides to get 2x = -12. Divide 2 from both sides to get x = -6. Now, to solve for angle A, insert the x value, -6, into Angle A's expression: x + 51. The x value would change the expression into -6 + 51. Solve to get 45. Use this technique for the other triangle as well.
For triangle 14, solve using the equation: 6x + 4x + 80 = 180. First add common variables to get 10x + 80 = 180. Subtract 80 from both sides to get 10x = 100. Divide both sides by 10 to get x = 10. To solve for Angle A, insert the x value, 10, in place of x. This turns the expression 4x into 4(10). Solve to get 40.
Hope it helps!