Answer:
.............................
Answer:
Our maximum is 19 when x=3 and y=7 and our minimum is -21 when x=3 and y = -3
Step-by-step explanation:
First, we can graph these inequalities out. As you can see in the picture, the three vertices where the inequalities all connect form a triangle. We can check each of these vertices to find our minimum and maximum.
First, we have (3,7). 4y-3x = 4(7)-3(3)=28-9=19
Next, for (3, -3), we have 4y-3x = 4(-3)-3(3) = -12-9=-21
Finally, for (0.5, 2), we have 4y-3x=4(2)-3(0.5)=8-1.5 = 6.5
Our maximum is 19 when x=3 and y=7 and our minimum is -21 when x=3 and y = -3
17) The line that is John is closer to certain but not exactly on certain so I'd say it's "likely"
18) Using that same example as the one above, if 0 means impossible, then 1 means certain. I'd place your label for Sara at 1.
19) Let s = sides of the square. There are 4 sides and all sides are equal so we can set up the equation 4s = 64. Divide both sides by 4. s = 16. Now add 2 to this. 16 + 2 = 18. The length of each side of the original square was 18.
20) If the scale is 1 cm : 1 meter and the height of the model is 16 cm, then the actual plane must be 16 meters.
21) 2x and 100 are supplementary angles meaning together they must add up to 180.
2x + 100 = 180
2x = 180 - 100
2x = 80
Divide both sides by 2
x = 40
22) Assuming 3x is supposed to be the right angle, right angles are 90 degrees.
3x = 90
Divide by 3 on both sides
x = 30.
Answer:
The answer is:
The angle of rotation counterclockwise about the spinner's center that maps label g to label B is 180° .
Step-by-step explanation:
The angle of rotation counterclockwise about the spinner's center that maps label g to label B is 180° .
Look at the attached picture of a spinner:
We know that the angle formed by a straight line is equal to 180°
So, in order to map label g to label B we have to set the needle of the spinner straight. Hence the angle formed by the needle is 180° ....
