Answer:
Step-by-step explanation:
First we have to assume the smallest integer.
Let,
the smallest integer is x
So, the other two integers are-
x+1 and x+2
Now,
the sum of these 3 integers is greater than smallest integer by 11
So, we get
x+(x+1)+(x+2) =x+11
This is the required equation.
Answer:
<h3>Hence required integers are 11 and 13</h3>
Let x an odd positive integer
Then, according to question
x^2 +(x+2)^2=290
2x^2 +4x−286=0
x^2 +2x−143=0
x ^2+13x−11x−143=0
(x+13)(x−11)=0
x=11 as x is positive
Hence required integers are 11 and 13
Step-by-step explanation:
Hope it is helpful....
B a counterclockwise rotation about the origin of 90°
under a counterclockwise rotation about the origin
a point ( x , y ) → (- y, x)
figure Q to figure Q'
( 4,2 ) → (- 2, 4 )
(7, 5 ) → (- 5, 7 )
(3, 7 ) → (- 7 , 3 )
(2, 4 ) → (- 4, 2 )
(5, 4 ) → (- 4, 5 )
the coordinates of the original points of the vertices of Q map to the corresponding points on the image Q'
Answer:
Shown - See explanation
Step-by-step explanation:
Solution:-
- The given form for rate of change is:
8 sec(x) tan(x) − 8 sin(x).
- The form we need to show:
8 sin(x) tan2(x)
- We will first use reciprocal identities:

- Now take LCM:

- Using pythagorean identity , sin^2(x) + cos^2(x) = 1:

- Again use pythagorean identity tan(x) = sin(x) / cos(x):

Answer:
Dalton spent 6 years and 11 months in high school.
Step-by-step explanation:
Dalton were in high school at the age = 11 years and 3 months He left high school at the age = 18 years and 2 months
Time spent by Dalton in high school = 18 years 2 months - 11 years and 3 months
= (18 - 11) years and (2 - 3) months
= 7 years - 1 month
= (6 + 1) years - 1 month
= 6 years + 1 year - 1 month
= 6years + 12 months - 1 month
= 6 years + 11 months
Therefore, Dalton spent 6 years and 11 months in high school.