Let x = your number.
x^2 - 21 = 4x. Subtract 4x from both sides.
x^2 - 4x - 21 = 0. Factor.
(x - 7) (x + 3) = 0. Set each term to 0.
x + 3 = 0. Subtract 3 from both sides.
x = -3. This is the negative solution.
Set the other term equal to zero.
x - 7 = 0. Add 7 to each side.
x = 7. This is the positive solution.
Step-by-step explanation:
270°/360° ×π×13²
Area of sector=398.20
Answer:
Option d is correct.
Equation : P=7n+20.
Explanation;
Given the perimeter of each figure is;
Perimeter of triangle is equal to the sum of all the sides of a triangle.
Perimeter of 1 triangle is 21
Perimeter of 2 triangle is 34 and
Perimeter of 3 triangle is 41
Let n be the number of figure and P be the perimeter of the figure;
the only equation which satisfy the given perimeter is;

Check:
for n =1 which means 1 triangle then;

for n = 2 , [ i.e 2 triangle]

and for n =3 [i.e, 3 triangles]

Therefore, the equation P =7n+20 relates the number of triangles in the figure(n) to the perimeter of the figure(P).
Answer:
x > 10/3
x will always be greater that 10/3 never the same nor less.
Step-by-step explanation:
3/5x + 1/3 < 4/5x - 1/3
3/5x - 4/5x + 1/3 < -1/3
-1/5x + 1/3 < -1/3
-1/5x < -1/3 - 1/3
-1/5x < -2/3
-1/5x/-1 < -2/3/-1 (Since it is both divided by a negative the sign switches, the sign also switches with multiplication. *Note: it only switches if it is negative!*)
1/5x > 2/3
5 • 1/5x > 2/3 • 5
x > 2/3 • 5/1
x > 10/3
Answer:
1, 3, 3, 6, 10, 10, 11, 14
(6,10) 6+10= 16
16/2= 8
median is = 8
Step-by-step explanation: