Given:
The graph of a translation. X'Y' is a translation of XY.
To find:
The rule of the translation.
Solution:
Let the rule of the translation be
...(i)
So, we need to find the value of a and b.
From the given graph, it is clear that X(-4,-9) and X'(-1,0).
Using (i), the image of X(-4,-9) is
We have, X'(-1,0). So,
On comparing both sides, we get
And,
So, the missing values in the rule of the translation are 3 and 9 respectively.
Therefore, the rule of translation is 
.
Answer:
Step-by-step explanation:
Older Scale:
New scale:
Answer: 4
Step-by-step explanation:
When we roll a 6-sided dis , the total possible of outcomes : 1, 2, 3, 4, 5, 6
Thus , the total number of outcomes =6
The favorable outcomes: 2, 1, 3 , 5
Thus , the number of favorable outcomes = 4
Does this help?
Hello!
The volume of a cone is found by using the formula: V = 1/3πr²h.
Figure 1 --
From figure one, it shows us the radius, which has a length of 8 centimeters, and the height, which is 14 centimeters. With that values, we can substitute those values into the formula and solve.
V = 1/3π(8)²(14)
V = 1/3(64)(14)π
V = 64/3(14)π
V = 896/3π centimeters³, 938.29 centimeters³ (multiplied by π), and 937.81 centimeters³ (multiplied by 3.14).
Therefore, the volume of the first cone is 938.29 centimeters³.
Figure 2 --
From the second figure, the height of the cone is 19.6 and the diameter is 12. To find the radius, divide the radius by 2, which is will give the radius.
V = 1/3π(6)²(19.6)
V = 1/3(36)(19.6)π
V = 12(19.6)π
V = 235.2π, 738.53 (multiplied by 3.14), 738.90 (multiplied by π)
Therefore, the volume of the second cone is 738.90 units³.
Answer:
slope is -1 and y intercept is -7.
Step-by-step explanation:
3- y = x+10
or, -y = x +10-3
or, -y = x+ 7
or, y = -x-7
comparing with y= mx +c, m= -1, c= -7
