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3 years ago

Please help this has bean troubling me for the past 2 hours.find NM

Mathematics

1 answer:

Leviafan [203]3 years ago

7 0

Answer:

NM = 15

Step-by-step explanation:

Given a secant and a tangent from an external point to the circle, then

The square of the measure of the tangent is equal to the product of the secant's external part and the entire secant, that is

(x + 3)² = (x - 3)(x - 3 + 16)

(x + 3)² = (x - 3)(x + 13) ← expand both sides using FOIL

x² + 6x + 9 = x² + 10x - 39 ( subtract x² + 10x from both sides )

- 4x + 9 = - 39 ( subtract 9 from both sides )

- 4x = - 48 ( divide both sides by - 4 )

x = 12

Then

NM = x + 3 = 12 + 3 = 15

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15 points! The data set shows the weights of pumpkins, in pounds, that are chosen for a photograph in a farming magazine. The re

vladimir2022 [97]

Answer:

Step-by-step explanation:

a). Mean of the given data set = $\frac{32+28+18+40+22}{5}$

= 28

b). x $x-\overline{x}$ $(x-\overline{x})^2$

32 32-28 = 4 16

28 28 - 28 = 0 0

18 18 - 28 = -10 100

40 40 - 28 = 12 144

22 22 - 28 = -6 36

$\sum({x-\overline x})^2$ = 296

c). Standard deviation = $\sqrt{\frac{\sum (x-\overline{x})^2}{n}}$

= $\sqrt{\frac{296}{5} }$

= 7.69

d). Mean of the new set of weights = $\frac{32+33+34+35+36}{5}$

= 34

Since mean of the data set is more close to each data, standard deviation will be less than the deviation given in part (c).

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3 years ago

What is x2 + 5x - 24 -x2 - 4x + 9

kolezko [41]

Let's simplify step-by-step.

x2+5x−24−x2−4x+9

=x2+5x+−24+−x2+−4x+9

Combine Like Terms:

=x2+5x+−24+−x2+−4x+9

=(x2+−x2)+(5x+−4x)+(−24+9)

=x+−15

Answer:

x-15

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3 years ago

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3 years ago

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4 years ago

Please help this has bean troubling me for the past 2 hours.find NM​

Please help this has bean troubling me for the past 2 hours.find NM