Answer number 12 please

Mathematics

1 answer:

vova2212 [387]3 years ago

7 0

Answer:

They are congruent by SSS.

Step-by-step explanation:

Consider the 2 triangles:

WX ≅ WZ (given)

XP ≅ ZP ( given in the diagram).

WP is common to both triangles.

Therefore they are congruent by SSS.

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If the number of bacteria in a colony doubles every 8 hours and there is currently a population of 9,315 bacteria, what will the

Liono4ka [1.6K]

It is given that the bacteria in a colony doubles every 8 hours.

To find the population of bacteria 24 hours from now, we need to find the population of bacteria after every 8 hours.

The present population of the bacteria is 9315.

After 8 hours, the bacteria becomes double. So, the number of bacteria becomes 9315 x 2 = 18630.

Again after 8 hours, the bacteria becomes 18630 x 2 = 37260.

Again after 8 hours, the bacteria becomes 37260 x 2 = 74520.

Thus, after 24 hours from now, the population of the bacteria is 74520.

8 0

1 year ago

Sketch the graph of the function f(x) = -(x-4)^3 by indicating how a more basic function has been shifted, reflected, stretched,

irina [24]

Step-by-step explanation:

In the attached images we can see the rigid transformation of the function $f(x) =x^{3}$

1. The basic graph $f(x) =x^{3}$

2. The reflected graph $f(x) = -x^{3}$

3. The displaced graph $f(x) = -(x-4)^{3}$

Reflection: In the expression $f(x) = -(x-4)^{3}$ , the sign - before the parenthesis indicates that the function is reflected in the x axis, for this case the function is even, this means that -f(x) = f(-x) , then the reflection on the x axis is equal to the reflection on the y axis.

Displacement: We observe the term (x-4) of the function $f(x) = -(x-4)^{3}$ and analyze the value -4, where, the sign - indicates displacement to the right and the value 4 indicates the amount that the graph shifted .