Answer:
a) y=-1
Step-by-step explanation:
Graph is intersecting y-axis at (0,-1)
So equation of the graph is y = - 1
X + 2 1/2 - 3/4 = 5 1/4 To find x, go backwards in the equation.
5 1/4 + 3/4 = 6 cups
6 - 2 1/2 = 3 1/2 cups
x = 3 1/2 cups
Answer:
The measures of the two angles are 55 and 100 degrees.
Step-by-step explanation:
The three interior angles of a triangle always add up to 180.
So if one angle is 25 degrees
180 - 25 = 155
The two other angles must add up to 155.
If the ratio is 11:20
That means there are 31 equal parts between the two angles
So 155/31 =5
Whic means
11 x 5 = 55
20 x 5 = 100
The two missing angles are 55 and 100 degrees.
Hope this explanation helped you!
Answer: The answer is 144.
Step-by-step explanation: Let 'a' be the first term and 'd' be the common difference of the given arithmetic progression (A.P.).
According to the given information, A.P. is {0, 4, 8, 12, 16, . . .}, i.e., a=0 and d=4.
The sum of first n terms is given by

So, the sum of first 9 terms is

Thus, the required sum is 144.
Answer:14
Step-by-step explanation:
The largest Prime factor of 35 is 7 (factors of 35 are 1,5,7,35)
the smallest prime factor of 12 is 2 (factors of 12 are 1,2,3,4,6,12)- and 1 is not Prime
7*2=14