Answer:
what do you need help on?
Let the original 2-digit number be xy.
Because 5 times the sum of the digits is 13 less than the number, therefore
5(x + y) = 10x + y - 13
5x + 5y = 10x + y - 13
-5x + 4y = - 13 (1)
The number with reversed digits is yx.
Because 4 times the sum of the digits is 21 less than the reversed 2-digit number, therefore
4(x + y) = 10y + x - 21
4x + 4y = 10y + x - 21
3x - 6y = -21
x - 2y = -7
x = 2y - 7 (2)
Substitute (2) into (1).
-5(2y - 7) + 4y = -13
-10y + 35 + 4y = -13
-6y = -48
y = 8
From (3), obtain
x = 2*8 - 7 = 9
Answers:
The original 2-digit number is 98
The reversed 2-digit number is 89
The difference between the original and the reversed 2-digit numbers is
98 - 89 = 9
Answer: 56%
Probably that it will rain and she goes + probably that it will be sunny and she goes
= 0.4 * 0.2 + 0.6*0.8
= 0.08 + 0.48
= 0.56
56% chance
Answer:
Step-by-step explanation:
sec (-x)-sin (-x) tan (-x)=cos x
sec(x)-(-sin x)(-tan x)=cos x
1/cos x-sin x(sin x/cos x)=cos x
multiply by cos x
1-sin ²x=cos²x
or 1=sin²x+cos²x
which is true.
Get into form (x-h)^2=4p(y-k)
vetex is (h,k)
so
1/2(x-7)^2=y+4
times 2 both sides
(x-7)^2=2(y+4)
(x-7)^2=4(1/2)(y-(-4))
vertex is (7,-4)
