Answer:
A
Step-by-step explanatio
If i were to give my judge on this <9M+13=5^9
Answer: 62
Step-by-Step Explanation:
First Term (a) = 7
Common Difference (d) = 12 - 7 = 5
Term to Find (n) = 12th
Therefore, finding the 12th Term :-
=> a+(n-1)d
= 7 + (12 - 1)5
= 7 + (11)5
= 7 + 55
=> 62
Hence, 12th Term of this AP is 62
Answer:
Step-by-step explanation:
We can use the Pythagorean Theorem:
The two legs are x and (x + 14) and the hypotenuse is (x + 16). Therefore:
Expand:
Combine like terms:
Subtract the right from the left:
Subtract:
Factor:
Zero Product Property:
Solve:
The x cannot be negative since a side cannot measure -4. So, our only answer is:
So, the legs are 10 and 24 with the hypotenuse being 26.
Answer:
3 min.
5 balloons.
Step-by-step explanation:
How many minutes does it take to make one balloon sculpture?
t = (Total time) / (Total identical balloon sculptures) = 96 / 32 = 3 min.
How many balloons are used in one sculpture?
n = (Total balloons) / (Total identical balloon sculptures) = 160 / 32 = 5 balloons.
Answer:
From the given triangle figure;
Labelled the triangle as A , B and C.
The coordinates of this triangle ABC are;
A = (1, 10) ,
B = (-2, 4)
C = (7, 4).
Given : Scale factor(k) = and centered at point (4, -2).
The rule of dilation with and center at point (4,-2) is:
or
then, the dilation of the given figure are;
= = = A'(3 , 2)
= = =B'(2 , 0)
= = = C'(5 , 0)
The coordinates of dilation images are:
A' = (3,2) , B' = (2, 0) and C' = (5, 0)
You can see the graph of the dilated image as shown below: