Answer:
<em>The base is 24 cm long.</em>
Step-by-step explanation:
<u>Equations</u>
Let's call
b= base of the triangle
h=height of the triangle
The base is 9 cm longer than the height, thus:
b = h + 9
The area of the triangle is:
And its value is 180:
Multiplying by 2:
Operating:
Factoring:
The only valid positive solution is:
h = 15 cm
And b = h + 9 = 24
b = 24 cm
The base is 24 cm long.
Answer:
The circumference of a circle is not the same as the area of the circle because the circumference represents the distance around the circle while the area represents the amount of space within the circle. Hope this helps.
To start, we need to distribute
multiply 2x by <em>everything</em> in the parenthesis
2x (5 + 3x) - x
2x × 5 = 10x
2x × 3x = 6x²
now we have...
10x + 6x² - x
<em>simplify </em>
<u>6x² + 9x </u>
the coefficient of x is 9!
REMEMBER: A rotation of 180 degrees means you flip both x and y numbers
E(-4,3)
F(7,-5)
G(-2,-8)
Answer:
0.1187
Step-by-step explanation:
A = P (1 + k)^t
where A is the final amount,
P is the initial amount,
k is the monthly growth rate,
and t is the number of months.
70 = 50 (1 + k)^3
1.4 = (1 + k)^3
∛1.4 = 1 + k
k = -1 + ∛1.4
k = 0.1187
