4x^2 + 16x-2= 5x
Minus 16x over
4x2-2= -11x
Add 11x over
4x^2 +11x -2
Use quadratic formula x= 2.9
I’m not sure here. I tried my best. Hope it helps!
Answer:
A. y = 1/2 x
Step-by-step explanation:
A proportional relationship between two quantities is a collection of equivalent ratios, related to each other by a constant of proportionality. In other words, if each point on the line can be put as a fraction and reduced to the same fraction, the relationship is proportional.
The answer is not defined.
Explanation:
The given matrix is ![$\left[\begin{array}{cc}{2} & {4} \\ {1} & {-6}\end{array}\right]+\left[\begin{array}{c}{1} \\ {0}\end{array}\right]$](https://tex.z-dn.net/?f=%24%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%7B2%7D%20%26%20%7B4%7D%20%5C%5C%20%7B1%7D%20%26%20%7B-6%7D%5Cend%7Barray%7D%5Cright%5D%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D%7B1%7D%20%5C%5C%20%7B0%7D%5Cend%7Barray%7D%5Cright%5D%24)
The matrix ![$\left[\begin{array}{cc}{2} & {4} \\ {1} & {-6}\end{array}\right]$](https://tex.z-dn.net/?f=%24%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%7B2%7D%20%26%20%7B4%7D%20%5C%5C%20%7B1%7D%20%26%20%7B-6%7D%5Cend%7Barray%7D%5Cright%5D%24)
has dimensions 
This means that the matrix has 2 rows and 2 columns.
Also, the matrix ![$\left[\begin{array}{l}{1} \\ {0}\end{array}\right]$](https://tex.z-dn.net/?f=%24%5Cleft%5B%5Cbegin%7Barray%7D%7Bl%7D%7B1%7D%20%5C%5C%20%7B0%7D%5Cend%7Barray%7D%5Cright%5D%24)
has dimensions 
This means that the matrix has 2 rows and 1 column.
Since, the matrices can be added only if they have the same dimensions.
In other words, to add the matrices, the two matrices must have the same number of rows and same number of columns.
Since, the dimensions of the two matrices are not equal, the addition of these two matrices is not possible.
Hence, the addition of these two matrices is not defined.
The information we've been given is:
12 heads
15 tails
From those, we find that there are 12 + 15 = 27 coins.
Let's examine these ratios as such:
- 12 heads to 27 coins -
There are indeed 12 heads and 27 coins, so this comparison agrees with our data.
- 15 tails to 12 heads -
Again, nothing here contradicts with our data, so this would be correct as well
- 12 heads to 15 tails -
Simply a reversed version of the ratio above; still a completely valid way to compare the relative quantities of heads and tails
- 5 tails to 9 coins -
This one needs a little more examination. We observe that the ratio of tails to coins with our given data is 15 tails to 27 coins. This seems to go against our data, but we can simplify our ratio by dividing both the number of tails and the number of coins by 3, which indeed gives us the ratio 5 tails to 9 coins.
So, all of the given ratios are correct.
Answer:
A =136 cm^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2) *h where b1 and b2 are the lengths of the bases and h is the height
A = 1/2( 22+12) *8
A = 1/2 ( 34)*8
A =136 cm^2
