K(x) = (1/4)^x
(1,4) when x = 1, k(1) = (1/4)^1 = 1/4....FALSE
(3, 1/64) when x = 3, k(3) = (1/4)^3 = 1/64....TRUE
(-1,4) when x = -1, k(-1) = (1/4)^-1 = 4....TRUE
(0, 1/4) when x = 0, k(0) = (1/4)^0 = 1....FALSE
answer
(3, 1/64)
(-1,4)
Answer:
The chord is 10cm from the center of the circle
Step-by-step explanation:
Here, we want to find the distance of the chord from the center of the circle
A line from the center to the chord will
divide the chord into two parts
each will have a measure of 48/2 = 24 cm
So now we have a right/angled triangle with hypotenuse of 26
To find the height, we use Pythagoras’ theorem which states that the sum of the squares of the other sides equal the square of hypotenuse
h ^2 + 24^2 = 26^2
h^2 = (26-24)(26+24)
h^2 = 100
h = square root of 100, which is 10
Answer:
a. 28
Step-by-step explanation:
Given:
We need to evaluate given expression to find the value of 'h'.
Solution:
Now first we will apply Subtraction property of equality and subtract both side by 73.18 we get;
Now we will use Division property of equality and divide both side by 2.95 we get;
Hence After evaluating given expression we get the value of 'h' as 28.
1. 1st number be x, 2nd number be y
Adding 5 times the first number and 8 times the second number gives a total of -13
so 5x+8y=-13
Adding 5 times the first number and 10 times the second number gives -15
so 5x+10y=-15
subtracting the above two eqns
(5x+8y)-(5x+10y) = -13-(-15)
-2y=2
y=-1
put back in first eqn 5x+8(-1)=-13
5x=-5
x=-1
2. area of town A = 1500
every year, the area of the town decreases by 7%
so after 1 year, A=1500*(1-7%)=1500*(0.93)
after x years, A=1500(0.93)^x