Answer:
Increasing
−5<x<−1
−1<x<1
Decreasing
4<x<7
−8<x<−5
Neither Increasing nor Decreasing
1<x<4
Step-by-step explanation:
Answer:
X²+y²+2x-10y+18=0 is the equation of circle
Step-by-step explanation:
Eqn of circle is: (x-h) ²+(y-k)²=r²
At (h, k) =(-1,5) and r=8 where h, k are center and r is radius.
Eqn is :(x+1)²+(y-5)²=8²
Or, x²+2x+1+y²-10y+25=8
Or, x²+y²+2x-10y+18=0 is the equation of circle
X= # students who got lower grades
2x+3= # students with grade A
STEP 1:
Add the two sets above equal to 24.
x + (2x + 3)= 24
combine like terms
3x + 3= 24
subtract 3 from both sides
3x= 21
divide both sides by 3
x= 7 (# students lower than A)
STEP 2:
substitute x value from step 1 to find # grade A students
=2x + 3
=2(7) + 3
=14 + 3
=17 (# grade A students)
CHECK:
x + (2x + 3)= 24
7 + 2(7) + 3= 24
7 + 14 + 3= 24
24= 24
ANSWER: There were 17 students with grade A.
Hope this helps! :)
Answer:
5956 ft
Step-by-step explanation:
If we designate the points at the bases of the skyscrapers as A and B, and the top of skyscraper B as point T, then triangle ABT is a right triangle with angle B = 90° and angle A = 13.7°.
The definition of the tangent function tells us ...
tan(A) = BT/AB
Solving for AB, we find ...
AB = BT/tan(A) = (1452 ft)/tan(13.7°)
AB ≈ 5956 ft
The skyscrapers are about 5956 feet apart.
Answer:
38x-22
Step-by-step explanation:
