Step-by-step explanation:
16. Length of a line = sqaureroot of ((x1-x0)^2 - (y1- y0)^2)
C (2,-3) D (6,3)
CD = sqaureroot of ((6-2)^2 + (3-(-3))^2)
CD = sqaureroot of ( 16 + 36)
CD = sqaureroot of 52 = 2 root 13 = length
17. E (5, - 1) because the point is under the x axis.
Midpoint = ((x1+ x0)/2 , (y1 +y0) /2)
B (8,1) C (2, - 3)
Midpoint of BC = ((2+8)/2 , (-3+1)/2)
= (10/2 , - 2/2)
= (5, - 1)
18. Length of AE
A (4,5) E(5,-1)
Square root of ((5-4)^2 + (-1-5)^2)
Square root of (1^2 + - 6^2)
Square root of ( 1 + 36)
Square root of 37 = root 37
Please gimme brainliest
-√5/2+√5+1
-√5/2+2√5/2+1
√5/2+1
(√5+2)/2
Answer:
Number of months spent in first gym = 9
Number of months spent in second gym = 3
Step-by-step explanation:
Let she spent x months in a year at first gym and y months in a year at second gym
Now, there are 12 months in one year
⇒ x + y = 12
y = 12 - x .......(1)
Now, total money she spent in one year = $825
⇒ 75·x + 50·y = 825 .........(2)
Putting value of y from equation (1) in equation (2)
75·x + 50·(12 - x) = 825
⇒ 75·x - 50·x + 600 = 825
⇒ 25·x = 225
⇒ x = 9
Now, putting this value of x in equation(1)
⇒ y = 12 - 9
⇒ y = 3
Hence, number of months spent in first gym = 9
And number of months spent in second gym = 3
Answer:
B. 13
Step-by-step explanation:
g(x)=4x+1
g(3)=4(3)+1
g(3)= 12+1
g(3)=13
Answer:
A. 4 2/3 hours
B. (i) 9 4/5 hours
(ii) 1 19/30
Step-by-step explanation:
Firstly, to find the number of hours he used in visiting old folks, what we have to do is to multiply the fraction of hours he used by the total number of hours.
Mathematically, that would be;
4/7 * 8 1/6
8 1/6 is same as 49/6
So the number of hours he spent visiting old folks would be ;
49/6 * 4/7 = 14/3 = 4 2/3 hours
B. What we do here is simply multiply the fraction now by what he spent last year.
That would be 1 1/5 * 8 1/6 hours
= 6/5 * 49/6 = 49/5 = 9 4/5 hours
ii) Now we want to know how much more time will be spent this year than last year.
What to do here simply is to subtract the time taken last year from what we have this year
That would be;
49/5 - 49/6 = 49/30 = 1 19/30
