Answer: 4 cup
Step-by-step explanation:
Here, the total number of cups in lemonade = 20 cups
In which some are cup of lemon juice and some are cups of water.
And, the ratio of cups of lemon juice and water in one lemonade = 1 : 4
Let the cups of lemon juice in one lemonade = 1 x
And, The cups of water in one lemonade = 4 x
Where x is any number.
Thus, 1 x + 4 x = 20
⇒ 5 x = 20
⇒ x = 20/5 = 4
Thus, Damon uses 4 cup of lemon juice in one lemonade.
Answer:
Sec y = q/r
Step-by-step explanation:
Sin y = 7/q
tan y = 7/r
Mathematically cos y = sin y/tan y
But sec y = 1/cos y
So therefore sec y = tan y/sin y
So that would be ;
7/r divided by 7/q
= 7/r * q/7
= q/r
Step-by-step explanation:
The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
Let me know of this helps!
If A and B are equal:
Matrix A must be a diagonal matrix: FALSE.
We only know that A and B are equal, so they can both be non-diagonal matrices. Here's a counterexample:
![A=B=\left[\begin{array}{cc}1&2\\4&5\\7&8\end{array}\right]](https://tex.z-dn.net/?f=A%3DB%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%262%5C%5C4%265%5C%5C7%268%5Cend%7Barray%7D%5Cright%5D)
Both matrices must be square: FALSE.
We only know that A and B are equal, so they can both be non-square matrices. The previous counterexample still works
Both matrices must be the same size: TRUE
If A and B are equal, they are literally the same matrix. So, in particular, they also share the size.
For any value of i, j; aij = bij: TRUE
Assuming that there was a small typo in the question, this is also true: two matrices are equal if the correspondent entries are the same.
Answer:
A. (-1, 3)
Step-by-step explanation:
To solve, find which point in the options are in the double shaded region (the region that is shaded the darkest which is the region above the point where the lines cross).
A. (-1, 3) is the correct answer because it falls in the correct region.
B. (-4, 1) is not the correct answer because it does not fall ABOVE both lines like the question says.
C. (0, 1) is not the correct answer because it falls in the 2nd darkest region.
