Answer:
Step-by-step explanation:
4x+2y = -24 -------------(i)
<u> -4x+y = 12 -</u>------------(ii)
add (i) &(ii) 3y = -12
y = -12/3
y = -4
Put y = (-4) in (i)
4x + 2*(-4) = -24
4x - 8 = -24
4x = -24 + 8
4x = -16
x = -16/4
x = -4
Answer:
75% of students are year 7
Step-by-step explanation:
divide 126 by 168 which equals 75% of year 7 pupils
Answer:
Approximately 7.16 in
Step-by-step explanation:
Hi there!
Area of a circle equation:
where r is the radius
Plug in the given area 161 in.²

Divide both sides by π to isolate r²

Take the square root of both sides to isolate r

Therefore, the radius of the circle is approximately 7.16 in.
I hope this helps!
Answer:
{ - 2, 1 }
Step-by-step explanation:
To determine the values let y = 0, that is
(x + 2)(2x - 2) = 0 ← in standard form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
2x - 2 = 0 ⇒ 2x = 2 ⇒ x = 1
The set of values are { - 2, 1 }
The line, shadow and the height form a right angled triangle so we can apply the Pythagoras theorem here:-
11^2 = h^2 + 8^2 where h = height of the kite
h^2 = 11^2 - 8^2
h^2 = 57
h = 7.55 ft to the nearest foot Answer