Answer:
Step-by-step explanation:
1.) Number of math and english books in 2013 and 2014
2.) 2013 books = 60 +80 = 140
2015 books = 80 +100 = 180
3.) 2013 + 2014 books
= 80 + 100 = 180
4.) Math books =180 and english books = 140
sp 180 -140 = 40
5.) In 2013, math books = 80 books and for 2014 = 100 books
6.)
2013, math + english books.
60 + 80 =140
in 2014 = 80 +100
= 180
Answer:
y = -2.5 x + 6.5
Step-by-step explanation:
The equation of a line in slope-intercept form is written as
y = mx + b where m is the slope and b is the y-intercept.
a) We can find the slope of the line passing through (-1,30 and (-4, 5) by subtracting the y coordinates and dividing the difference by the difference if the x coordinates:
m = (5 - 3 ) = 2
-4 - (-1) -3
Now use this slope and substitute the coordinates of either of the given points to find the y-intercept, b . Let's use (-1,3):
y = mx + b
3 = -2 • -1 + b
3
3= 2 + b
3
7 = b
3
The equation of the line will be y = -2 x + 7
3 3
b) Using y = mx + b, we can substitute -2.5 for the slope and use the point to find the y-intercept:
y = -2.5x + b
1.5 = -2.5 • 2 + b
1.5 = -5 + b
6.5 = b
The equation of the line will be:
y = -2.5 x + 6.5
Answer:
x = 3 and y = 14
Step-by-step explanation:
opposite angles of a parallelogram are congruent. Hence,
1) 7y + 2 = 6y + 16
I. e. 7y - 6y = 16 - 2
I. e. y = 14
2) 8x + 8 = 6x + 14
I. e. 8x - 6x = 14 - 8
I. e. 2x = 6
I. e. x = 6/2
I. e. x = 3
Your equation is a circle where the center is the origin (0, 0) and the radius is 5. With the translation, the new center is (- 7, - 2). Radius stays the same.
Your new equation is:
(x + 7)² + (y + 2)² = 25
Answer:
12 divided by 12 is 1
Step-by-step explanation:
A calculator helped me
