Answer:
B, D, E
Step-by-step explanation:
-8x - 6y = 10
x + 7y = 9
You can multiply any of these equations by a constant without changing the solution.
B. 4x + 3y = -10 is equivalent to multiplying each side of the first equation by -½.
D. -16x - 12y = 20 is equivalent to multiplying each side of the first equation by 2.
E. 3x + 21y = 27 is equivalent to multiplying each side of the second equation by 3.
A. -2x + 7y = 9 is wrong. The signs don't match those of the second equation.
C. 24x + 18y = 10 is wrong. The signs don't match those of the first equation.
F. x - 14y = -18 is wrong. The coefficient of x should be -2.
Answer:
14 units^2
Step-by-step explanation:
Hey there!
In order to find the area of this triangle, we need to find the base and height of the triangle
the base of the triangle is 7 units long and the height of the triangle is 4 units high
Formula for area of triangle: Base x Height x 1/2
7 x 4 x 1/2 --> 28 x 1/2 --> 14
So, the area of this triangle is 14
Now the question is asking to find the area by forming a parallelogram
All you have to do for this is duplicate that same triangle, and mirror it upside down
Then all you would have to do is find the Base and the Height and multiply them together
Explicit Formula
Just in case you don't know what this is, the explicit formula is the formula that solves for any term in the series without necessarily knowing what came before the term you are solving.
<em><u>Givens</u></em>
d = t_(n + 1) - t_n You can take any term and the next term for this part of the formula
d = t_3 - t_2
t_3 = 1
t_2 = -7
d = 1 - - 7 = 8
a = -15
<em><u>Formula</u></em>
t_n = a + (n - 1)*d
t_n = -15 + (n - 1)*8
For example find the 5th term.
t_5 = - 15 + (5 - 1)*8
t_5 = - 15 + 4 *8
t_5 = -15 + 32
t_5 = 17 Which is what you have.
Recursive Formula
Computers really like this formula. They use it in what is called a subroutine and they pass values from one part of the program to a subroutine which evaluates the given and sends the result back. I'm telling you all this so you see why you are doing it. The disadvantage of it for humans is that you must know the preceding term to use the recursive formula.
<em><u>Formula</u></em>
t_n = t_(n - 1) + d
<em><u>Example</u></em>
t_6 = t_(6 - 1) + d
t_6 = t_5 + 8
t_6 = 17 + 8
t_6 = 25
You can check this by using the explicit formula.
Answer:
i believe its the third one don't quote me on that though
Step-by-step explanation:
Answer:
5.24, 21/4, or 5 and 1/4
Step-by-step explanation:
78+139+14 = 231
231/44 = 5.25
Or 21/4 (improper fraction)
Or 5 and 1/4 (mixed number)
I'm not exactly sure what you were asking I hope that helps!
