Answer:
When we know all 3 sides, we use Heron's Formula
area = sqrt [s *(s-a) * (s-b) * (s-c)]
where "s" is the semi-perimeter which in this case equals
s = (6 + 8 + 12) / 2 = 13
area = sqrt [13 * 5 * 7 * 1]
area = sqrt 455
area = 21.3307290077
area = 21.33 square feet (rounded)
Step-by-step explanation:
Answer:
The equation of the line is y = -7/8x + 11/2
Step-by-step explanation:
Since we have the slope and a point to start, we can use point-slope form to find the equation.
y - y1 = m(x - x1)
Use the slope for m and the point at (x1, y1). Then solve for y.
y - 9 = -7/8(x + 4)
y - 9 = -7/8x - 7/2
y = -7/8x + 11/2
In 8, 9, 10, all the triangles are similar, meaning corresponding sides have the same ratio.
8. hypotenuse / (short side) = 25/x = x/9
x² = 25*9 = 5²×3²
x = √(5²×3²) = 5*3 = 15
9. (long side) / (short side) = x/7 = 9/x
x² = 7*9
x = √(9*7) = 3√7
10. (short side) / (long side) = x/48 = 48/64
x = 48²/64 = 36
The answer is C. 14.6.
By evaluate, they mean substitute in the values of x and y to find the total of the expression, so you get:
(3^2 + 4^3)/(3 + 2) = (9 + 64)/5 = 73/5 = 14.6
I hope this helps!
