The answer is B(11, 2sqrt(12) )
proof
the main equation of the circle is (x-x1)²+(y-y1)²=R²
where C(x1, y1) is the center
so if the center is the origin, it is O(0,0), and the equation becomes
<span> (x)²+(y)²=R²
</span>and the circle passes through the point (-5,2) so we can write
(-5)²+12²=R², it implies R= sqrt(25+144)=sqrt(169)=13
and for <span>B(11, 2sqrt(12) ) </span>11²+ (2sqrt(12))²= 121 + 48= 169= 13
it is checked.
Given: 48 students took the exam.
A total of 18 + 10 = 28 students scored 80% or above.
To find the percentage, take the part (28 students) divided by the whole (48 students) then multiply the quotient by 100.
(28 students / 48 students) x 100 = 58.33%
58.33% of the students who took the exam scored an 80% or higher
Answer:
1. y = 7x. This is an example of direct variation as the value of y also increases if the value of x is increased.
2. xy = 24. This is an example of inverse because the value of y is decreased when x is increased.
3. F = 4/R. This is inverse variation for the same reason as number 2.
4. m/n = 4. Direct variation. For the same reason as number 1.
5. i = 2pr. Joint variation. The value of i is dependent on the values of two other variables.
6. R = cl/r². Joint variation.
7. A = pir². Direct variation. I believe pi here is for π, leaving only A being dependent only to value of r.
8. V= pir²h. Joint variation.
Step-by-step explanation:
Answer:
x=4 y=0
Step-by-step explanation:
3x+5y=12
-(x-3y=4)
3x+5y=12
3(-x+3y=-4)
3x+5y=12
-3x+9y=-12
14y=0
y=0
Then, substitute the y into the equation to find x
x-3(0)=4
x=4
