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joja [24]
3 years ago
13

In ΔABC, if AB = 10 and BC = 6, AC can NOT be equal to

Mathematics
1 answer:
Goshia [24]3 years ago
6 0

Answer:

16

Step-by-step explanation:

adding any two sides of a triangle is allways greater than the third side

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plain why the function is discontinuous at the given number a. (Select all that apply.) f(x) = x2 − 2x x2 − 4 if x ≠ 2 1 if x =
ElenaW [278]

Answer with Step-by-step explanation:

We are given that

f(x)=\left\{\begin{matrix}\dfrac{x^2-2x}{x^2-4}&,if\ \ x\neq 2 \\ 1&,if\ \ x=2\end{matrix}\right.

We have to explain that why the function is discontinuous at x=2

We know that if function is continuous at x=a then LHL=RHL=f(a).

f(x)=\frac{x(x-2)}{(x+2)(x-2)}=\frac{x}{x+2}

LHL=Left hand limit when x <2

Substitute x=2-h

where h is small positive value >0

\lim_{h\rightarrow 0}f(x)=\lim_{h\rightarrow 0}\frac{2-h}{2-h+2}

\lim_{h\rightarrow 0}\frac{2-h}{4-h}=\frac{2}{4}=\frac{1}{2}

Right hand limit =RHL when x> 2

Substitute

x=2+h

\lim_{h\rightarrow 0}f(x)=\lim_{h\rightarrow 0}\frac{2+h}{2+h+2}=\lim_{h\rightarrow 0}\frac{2+h}{4+h}

=\frac{2}{4}=\frac{1}{2}

LHL=RHL=\frac{1}{2}

f(2)=1

LHL=RHL\neq f(2)

Hence, function is discontinuous at x=2

4 0
4 years ago
¿Cuál es el resultado de log2 8?
Natali [406]

Answer:

log2(8) Notation lb(8) Value 3

8 0
3 years ago
Picture above ^^^^^^^^^^^^^
Neko [114]
The answer is the second one

6 0
3 years ago
Suppose a game show called Bayesian Boxes has the contestant sample one marble from a box and guess what type of box it is. When
kondor19780726 [428]

Answer:

0.114

0.049

Step-by-step explanation:

For the boxes:

Type A - 75% = 0.75

Type B - 20% = 0.2

Type C - 5% = 0.05

For the marbles in each box:

Type A - 2% = 0.02

Type B - 20% = 0.25

Type C - 98% = 0.98

Then you can multiply the chance of drawing each box by the chance of drawing a red marble from that box and add all of those together:

0.75 * 0.02 + 0.2 * 0.25 + 0.05 * 0.98

= 0.015 + 0.05 + 0.049

= 0.114

The specific chance for box Type C is 0.05 * 0.98 = 0.049

7 0
3 years ago
What is the quotient of 8,595 ÷ 24?​
Bad White [126]

Answer:

358.125

Step-by-step explanation:

8595 ÷ 24 = 358.125

5 0
3 years ago
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