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2 years ago

Which is a factor of z3 - z2 - 9z + 9?

Mathematics

1 answer:

lara31 [8.8K]2 years ago

3 0

Z²(z-1)-9(z-1)
= (z²-9)(z-1)
= (z+3)(z-3)(z-1)

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I NEED THIS DONE IN TWO HOURS :,(

Pani-rosa [81]

I hope I’m not too late. Substitute x = 4y + 5y = 2
y = 2. Substitute this value into the first equation: x + -4 x 2 = -8. So the answer is (-8,2).

3 0

2 years ago

Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.

tatuchka [14]

*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*

(21)

Area of a Regular Hexagon: $\frac{3\sqrt{3}}{2}(side)^{2} = \frac{3\sqrt{3}}{2}*(\frac{20\sqrt{3} }{3} )^{2} =200\sqrt{3}$ square units

(22)

Similar to (21)

Area = $216\sqrt{3}$ square units

(23)

For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:

$altitude=\frac{\sqrt{3}}{2}*side$

$side = \frac{36}{\sqrt{3}}$

Hence, area of the hexagon will be: $648\sqrt{3}$ square units

(24)

Given is the inradius of an equilateral triangle.

$Inradius = \frac{\sqrt{3}}{6}*side$

Substituting the value of inradius and calculating the length of the side of the equilateral triangle:

Side = 16 units

Area of equilateral triangle = $\frac{\sqrt{3}}{4}*(side)^{2} = \frac{\sqrt{3}}{4}*256 = 64\sqrt{3}$ square units

4 0

2 years ago

PLS HELP ASAP!!

zepelin [54]

Answer:

Step-by-step explanation:

$A = P(1 + \frac{r}{n})^{nt}\\$

[5000* (1+0.125)]/12 =234.375, rounds up to $234.38

8 0

3 years ago

Log (3x+1) - Log (2x+5)= 1

sleet_krkn [62]

Answer:

$\huge \red { \boxed{x = - \frac{49}{17}}}$

Step-by-step explanation:

$log(3x + 1) - log(2x + 5) = 1 \\ \\ log \: \frac{3x + 1}{2x + 5} = log \: 10..( \because \: log \: 10 = 1) \\ \\ \frac{3x + 1}{2x + 5} = 10 \\ \\ 3x + 1 = 20x + 50 \\ 3x - 20x = 50 - 1 \\ \\ - 17x = 49 \\ \\ x = \frac{49}{ - 17} \\ \\ \huge \purple{ \boxed{x = - \frac{49}{17}}} \\$

6 0

2 years ago

Marco gana 1200 mensualmente . La mitad de su dinero es entregado a su mama de lo que le queda gasta en la tercera parte en ropa

statuscvo [17]

Answer:

A Marco le sobra 400.

Step-by-step explanation:

Marco gana 1200 mensualmente. La mitad de su dinero es entregado a su mamá.

La mitad de un número se calcula dividiendo el número por 2. Por lo que la mitad de lo ganado por Marco se calcula:

1200 ÷2= 600

Por lo que Marco entrega a su mamá 600 mensualmente, y quedan 600, obtenido de la resta entre lo ganado mensualmente y lo entregado a su madre.

De lo que le queda gasta en la tercera parte en ropa. La tercera parte de un número se calcula dividiendo el número por 3. Entonces:

600 ÷3= 200

Entonces Marco gasta 200 en ropa. Por lo que resta es 400, obtenido por la diferencia entre los 600 que poseía luego de entregar dinero a su madre y lo gastado en ropa.

Entonces, <u><em>a Marco le sobra 400.</em></u>

3 0

2 years ago