Answer:
-0.399
Step-by-step explanation:
f^-1(1024)=(2*1024-2/5)^-1= 0.000488
f(0.000488)=2*0.000488-2/5= -0.399
Answer:
real numbers
Step-by-step explanation:
x=11.4242....
100x=1142.4242....
100x-x = 99x = 1131
x=1131/99 = 11 42/99 (unreduced) = 11 14/33 (reduced fraction)
Answer:
Slope is -5/4
Step-by-step explanation:
to find the slope of two points, you subtract the y values/x values. So 8-13/5-1 which ends up as -5/4 which is the answer.
Answer:
The height of the triangle is 7cm and the base is 16cm
Step-by-step explanation:
First of all we have to know the formula to calculate area of a triangle
a = area = 56
b = base
h = heigth
a = (b * h)/2
we replace the known values and we make 2 equations
56cm² = (b * h)/2
b = h + 9cm
we replace b by (h + 9cm) in the first equation
56cm² = (h + 9cm * h)/2
56cm² * 2 = h² + 9h
0 = h² + 9h - 112cm²
we use bhaskara formula:
(-b (±) √
(b² - 4ac) ) / 2a
we replace with the known values
h = (-9 (±) √
(9² - 4*1*(-112) ) ) / 2*1
h = (-9 (±) √
(81 + 448) ) ) / 2
h = (-9 (±) √529) /2
h = (-9 (±) 23)/2
h1 = (-9 + 23) / 2
h1 = 14 / 2
h1 = 7
h2 = (-9 - 23) / 2
h2 = -32 / 2
h2 = -16
The height of the triangle is 7cm and the base is 16cm
