Recall that the y-intercept is when the function passes the y-axis. This happens when x=0. Therefore, we can find our y-intercept by plugging x=0 into our function and solving for y.

6x + 9y = 18
6(0) + 9y = 18
0 + 9y = 18
9y = 18
y =2

Thus, our y-intercept is when x = 0 and y = 2, or (0,2).

8 0

3 years ago

Which of the following is true about the diagonals of a rectangle? Select all that are true.

jok3333 [9.3K]

Step-by-step explanation:

Diagonals are congruent.

C) Diagonals are perpendicular.

D) Diagonals bisect the angles.

8 0

2 years ago

The number of books donated to a library is increasing by 25% each month. Initially, there were 80 books donated to the library.

lions [1.4K]

Answer: There would be 745 books at the end of month 10.

Step-by-step explanation:

Since we have given that

Number of books initially = 80

Rate of growth = 25% = 0.25

t = 10 months

We need to find the number of books that are expected at the end of month 10.

As we know the formula for "Compound interest":

$A=P(1+\dfrac{r}{100})^t\\\\A=80(1+\dfrac{25}{100})^{10}\\\\A=80(1+0.25)^{10}\\\\A=80(1.25)^{10}\\\\A=745.05$

Hence, there would be 745 books at the end of month 10.

4 0

2 years ago