Answer:
10 inches
Step-by-step explanation:
The formula for the triangle area is the following:
A = b * h / 2
Where b is the length of the base side and h is the height.
So, as the height is 4 less than the base, we have that:
h = b - 4
Using this value in the area equation, we have that:
A = b * (b - 4) / 2
30 = (b^2 - 4b) / 2
b^2 - 4b = 60
b^2 - 4b - 60 = 0
Using Bhaskara's formula to solve the quadratic equation, we have:
Delta = 4^2 + 4*60 = 256
sqrt(Delta) = 16
b1 = (4 + 16)/2 = 10
b2 = (4 - 16)/2 = -6 (negative value does not fit for this problem)
So the length of the base is 10 inches.
Step-by-step explanation:
Sorry its messy but if you cant understand tell me
Answer:
frequency
Step-by-step explanation:
Planck showed that the energy that is emitted or absorbed by an object is proportional to the _<u> </u><u>frequency</u><u>__</u>__ of the radiation.
These types of graphs have a set notation domain, which basically means that the points are whole number plot points, not continuous.
So the domain would be in curly braces, since it is a set notation, separated by commas.
{-1, 1, 3, 5, 7, 9}
Answer:
(- 3, - 4 ) and r = 5
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
(x + 3)² + (y + 4)² = 25 ← is in standard form
(x - (- 3))² + (y - (- 4))² = 5²
with centre = (- 3, - 4) and r = 5
