Answer: A=l⋅w where A is the area of the rectangle, l is the length of the rectangle and w is the width of the rectangle.
<span>f(x) = x</span>² <span>+ 12x + 6 </span>→ y = x² + 12x + 6<span>
Let us convert the standard form into vertex form.
1) Complete the squares. Isolate x</span>² and x terms.
<span>y - 6 = x</span>² + 12x
<span>
2) Create the perfect square trinomial. Whatever number is added on one side must also be added on the other side.
y - 6 + 36 = x</span>² + 12x + 36<span>
y + 30 = (x + 6)</span>²
<span>y = (x + 6)</span>² - 30 ← Vertex form
<span>
To check:
y = (x + 6) (x + 6) - 30
y = x</span>² + 6x + 6x + 36 - 30
<span>y = x</span>² + 12x + 6<span>
The zero that could be added to the given function is 36, -36</span>
Answer:
Y = 170, Z = 64.
Step-by-step explanation:
Since y is the external angle to x, which you got right, it is in fact, 180-10, = 170 degrees. And since z is the external to our unknown angle, that means it is equal to the sum of the other two angles in the triangle. That means z is 54 + 10, which is 64.
Answer:
257.5 ft
Step-by-step explanation:
circumference of a circle with diameter=
pi*d
3.14*82=257.48
Hope this helps!
Answer:
APR = 416%
EAR = 5370.60%
Step-by-step explanation:
Given:
Interest rate = 7.8% per week
Now,
In an year there are total 52 weeks
thus,
The APR (Annual percentage rate) = Interest rate × Total weeks in an year
or
APR = 8% × 52
or
APR = 416%
and, EAR ( Effective Annual Rate ) = ( 1 + r )ⁿ - 1
Here,
r is the interest rate per week
n is the total weeks in an year
thus,
EAR ( Effective Annual Rate ) = ( 1 + 8% )⁵² - 1
= ( 1 + 0.08 )⁵² - 1
= 53.7060
or
53.7060 × 100% = 5370.60%
