Answer: 320 boys
Step-by-step explanation: you would first take the total number (720) and divide it by the total number shown in the ratio (5+4=9)
720/9= 80
You would then take 80 and multiply it by 4 because that is the number representing the boys
80*4= 320
Answer:
r = 10 , centre = (6, - 2 )
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² - 12x - 60 = - y² - 4y ( add y² + 4y to both sides )
x² - 12x + y² + 4y - 60 = 0 ( add 60 to both sides )
x² - 12x + y² + 4y = 60
using the method of completing the square
add ( half the coefficient of the x and y terms )² to both sides
x² + 2(- 6)x + 36 + y² + 2(2)y + 4 = 60 + 36 + 4
(x - 6)² + (y + 2)² = 100 ← in standard form
with centre = (6, - 2 ) and r = 
= 10
Answer:
???
Step-by-step explanation:
This is VERY confusing. Seems like it's already answered there.
I will only be writing the reasons for each and you can respond if you need clarification for anything:
1. given
2. opposite sides of a parallelogram are congruent (and a rectangle is a parallelogram so the properties apply)
3. def rectangle
4. SAS (side angle side congruence theorem)
5. CPCTC (congruent parts of congruent triangles are congruent)
Answer:
b) y - 8 is one of the factor of the given expression
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given expression y² - 16 y + 64
⇒ y² - 8 y - 8 y + 64
⇒ y ( y- 8) - 8 ( y - 8)
⇒ (y-8)(y-8)
Therefore (y -8) is one of the factor
