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ivanzaharov [21]
3 years ago
9

A triangle has 2 sides measuring 12cm and 4cm. What could be the possible lengths of the 3rd side. (Please explain in steps)​

Mathematics
1 answer:
katen-ka-za [31]3 years ago
5 0

Answer:

Step-by-step explanation:

You have to use the triangle inequality theorem:

12cm, 4cm, xcm

x > 4cm - 12cm

x > -8cm

x < 12cm - 4cm

x < 8cm

-8cm < x < 8cm

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What kind of transformation converts the graph of f(x) = 10x + 71 - 2 into the graph of
Over [174]

Answer:

A transition down six units

Step-by-step explanation:

-2-6=-8

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the straight line L has the equation 4y=5x+3. Point A has the coordinates (3,-2) Find the equation of the line straight line tha
Aleonysh [2.5K]

Answer:

y = - \frac{4}{5} x + \frac{2}{5}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4

y = \frac{5}{4} x + \frac{3}{4} ← in slope- intercept form

with slope m = \frac{5}{4}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{5}{4} } = - \frac{4}{5} , thus

y = - \frac{4}{5} x + c ← is the partial equation

To find c substitute (3, - 2) into the partial equation

- 2 = - \frac{12}{5} + c ⇒ c = - 2 + \frac{12}{5} = \frac{2}{5}

y = - \frac{4}{5} x + \frac{2}{5} ← equation of perpendicular line

4 0
3 years ago
In the New York State daily lottery game, a sequence of 4 (not necessarily different) digits in the range of 0-9 is selected at
devlian [24]

Answer:

50.40% probability that all 4 are different.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

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For the second digit, it can be any of them other than the first digit. So there are 9 possible.

For the third digit, it can be any of them, other than the first and the second. So there are 8 possible.

By the same logic, 7 possible digits for the fourth. So

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So

T = 10*10*10*10 = 10000

Probability:

p = \frac{D}{T} = \frac{5040}{10000} = 0.5040

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5 0
3 years ago
What is the least possible degree of a polynomial that has roots -5, 1 + 4i, and -4i?
just olya [345]
Hello,

Answer D:

the roots are -5,1+4i,1-4i,-4i,4i.

7 0
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10-3.10-4 = 10<br> Evaluate
zysi [14]

Answer:

2.9=10

Step-by-step explanation:

10-3.10-4=10

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