Answer:
x = -3, -6.
Step-by-step explanation:
3x2 + 27x + 54 = 0
Divide through by 3:
x^2 + 9x + 18 = 0
(x + 3)(x + 6) = 0
x = -3, -6.
Step-by-step explanation:
<u>Step 1: Find the solution for the first one</u>


← Solution
<u>Step 2: Find the solution for the second one</u>
<u />

← Solution
<u>Step 3: Find the solution for the third one</u>


← Solution
<u>Step 4: Find the solution for the fourth one</u>


← Solution
<u>Step 5: Find the solution for the fifth one</u>


← Solution
<u>Step 6: Find the solution for the sixth one</u>
<u />

← Solution
Answer:
Option D. A circles area and circumference are only equal when the radius is 2 units.
Step-by-step explanation:
we know that
The area of circle is equal to

The circumference of a circle is equal to

equate both formulas

simplify

therefore
A circles area and circumference are only equal when the radius is 2 units.
For Question 2
Answer:
two lines share exactly one common point
Step-by-step explanation:
When two lines share exactly one common point, they are called the intersecting lines. The intersecting lines share a common point. And, this common point that exists on all intersecting lines is called the point of intersection. The two non-parallel straight lines which are co-planar will have an intersection point.
1) lavadora tipo A---> 3 tipos de carga, 5 colores, automatica o semiautomatica
Lavadora tipo A se puede elegir ------------- > 3*5*2=30 formas diferentes
lavadora tipo B---> 4 tipos de carga, 3 colores, automatica o semiautomatica
Lavadora tipo B se puede elegir ------------- > 4*3*2=24 formas diferentes
las dos lavadoras serian=30+24=54 maneras
2) <span>a) ¿De cuántas maneras diferentes se puede contestar el examen?
-----------> 4*4*4*4*4*4*4*4=4</span><span>^8=65536 maneras
</span><span>b) Si al leer el examen te das cuenta que te sabes bien 3 de las preguntas, ¿de cuántas maneras puedes contestar el resto del examen?
si sabes 3 te quedan (8-3)=5 preguntas
---------> 4*4*4*4*4=4</span>^5=1024 maneras