In algebra, we use a (n) ____ to repersent a variable
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Answer:
we use letters in algebra to represent unknown variables
Step-by-step explanation:
Answer:
letter
Step-by-step explanation:
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Can someone help me solve this
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t^2+10t=75
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Do a reverse factoring procedure to develop the following form of equation:
(t + a)^2 = b
where:
t = unknown variable
a = coefficient
b = coefficient
Then take square root of both sides to find value of unknown variable as follows:
t^2 + 10t = 75
(t^2 + 10t + 25) = 75 + 25
(t^2 + 5t + 5t + 25) = 100
(t + 5)(t + 5) = 100
(t + 5)^2 = 100
√(t + 5)^2 = √100
Two solutions exist:
+(t + 5) = 10
AND
-(t + 5) = 10
Thus:
t = 10 - 5 = 5
AND
t = -5 - 10 = -15
Answer:
t = 5
AND
t = -15
Answers
If you start with 1 cheerleader in row A, then you'll have 3 cheerleaders in row B (add on 2), and then 5 cheerleaders for row C (add on another 2), etc etc.
Note how: 1+3+5 = 4+5 = 9 which is a perfect square. Also note that 36 is a perfect square.
Rule: The sum of the first positive n odd numbers is going to be equal to n^2. In the example of adding the first three odd numbers (1,3,5), we have n^2 = 3^2 = 9 as the sum
So as you can see, we'll have n = 6 rows because n^2 = 6^2 = 36 and
1+3+5+7+9+11 = 36
which is the sum of the first six positive odd numbers. So we'll have 1 cheerleader in row A, 3 in row B, 5 in row C, 7 in row D, 9 in row E, 11 in row F to have 6 rows total.
Final answer:
To determine the number of rows in the triangular formation, set up an equation and solve for x. The number of rows is 6.
Explanation:
To determine the number of rows in the triangular formation, we can set up a series of equations.
Let x be the number of rows.
The first row will have 1 cheerleader, the second row will have 3 cheerleaders, the third row will have 5 cheerleaders, and so on.
We can set up the equation: 1 + 3 + 5 + ... + (2x-1) = 36.
This is the sum of an arithmetic sequence with a common difference of 2. Solving for x, we get x = 6.
Therefore, there will be 6 rows in the formation.
Learn more about Number of rows in triangular formation here:
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I don’t understand the answer can you explain it please?
Eliminate
B) The perimeter of the new rectangle is one-half that of the original rectangle.
C) The perimeter of the new rectangle is four times that of the original rectangle.
D) The perimeter of the new rectangle is one-fourth that of the original rectangle.
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36 in. = ____ yd.
6 yd = ____ in.
90 ft. = ____ yd.
Thanks :)
Answers
There are 36 inches in a yard, so 36 inches is 1 yard and 6 yards is 216 inches.
There are three feet in a yard, so 90 feet will be 30 yards.