If he had $422 to begin with and bought $524 worth of stuff with money he didn't have them his account would go into the negative, $-102
Answer:
The student is not correct. He should use parentheses like this 9(n+13). Without the parentheses, it means nine times n plus 13, but should be the sum of n plus 13 multiplied by 9.
Answer:
the rotated image correspond is angle DEF
Answer:
228m
Step-by-step explanation:
Let's draw a rectangle ABCD, A being its bottom left point, B bottom right, C top right and D top left.
That is our soccer field. The player stands in the southeast corner, which is top right corner or, in our case point B. He passes the ball to the player in the opposite corner, which is corner D. He then passes the ball to the player in the southwest corner, which is corner A. And he finally passes it back to the player in the corner B.
So, the ball goes from B to D to A to B. That means that the ball went along the circumference of the triangle DAB.
So, to answer how long the ball travelled we need to find the circumference of the triangle. The circumference is the sum of its three sides. One side is the field's length (76m) and the othet is field's width (57m). We only need to find the triangle's hypotenuse, side BD, using Pythagoras theorem:
BD² = AB² + AD²
BD² = 76² + 57²
BD = 95
So, the circumference of the triangle is 76+57+95=228m
Answer:
is the common ratio
Step-by-step explanation:
Common ratio(r) states that the ratio of each term of a geometric sequence to the term preceding it.

Given the sequence:
225, 45, 9, .........
Here,


and so on...
Using definition to find r.

After solving we get;

Therefore, the common ratio is, 