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3 years ago

|−5| − |−9| (Work The problem out)

Mathematics

1 answer:

LenKa [72]3 years ago

6 0

Answer: -4

Step-by-step explanation: well when it’s absolute value the -5 turns to positive 5 and the value of -9 turns to positive 9. So that leaves 5-9=-4

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Complete the table below using the Midpoint and Distance Formulas.

Zielflug [23.3K]

Answer:

Coordinates of M = (2, -1)

Length of AB = 10 units

Step-by-step explanation:

Coordinates of the midpoint (M) of the distance between A(2, 4) and B(2, -6)

$M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$

Let $A(2, 4) = (x_1, y_1)$

$B(2, -6) = (x_2, y_2)$

Thus:

$M(\frac{2 + 2}{2}, \frac{4 +(-6)}{2})$

$M(\frac{4}{2}, \frac{-2}{2})$

$M(2, -1)$

Length of AB:

Distance between A(2, 4) and B(2, -6):

$AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$A(2, 4) = (x_1, y_1)$

$B(2, -6) = (x_2, y_2)$

$AB = \sqrt{(2 - 2)^2 + (-6 - 4)^2}$

$AB = \sqrt{(0)^2 + (-10)^2}$

$AB = \sqrt{0 + 100} = \sqrt{100}$

$AB = 10$

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3 years ago

Which off the following represents the general term for the sequence 1, 3, 5, 7, 9, ...?

tino4ka555 [31]

The general term for the sequence is n+2.

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4 years ago

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A can holds 4 golf balls. The diameter of each golf ball is 5 cm. What is the volume of the empty space inside the can?

forsale [732]

Answer:

Volume of the empty space in the can is 327.05 $cm^3$

Step-by-step explanation:

Given:

Number of golf ball the can holds = 4

Diameter of the golf ball = 5 cm

To Find:

Volume of the empty space in the can = ?

Solution:

Step 1: Finding the volume of one golf ball

Ball is shape of the sphere

So lets use the volume of the sphere formula

Volume of the golf ball = $\frac{4}{3}\pi r^3$

Radius = $\frac{5}{2}$ = 2.5 cm

Substituting the values

Volume of the golf ball

= $\frac{4}{3} \pi \times(2.5)^3$

= $\frac{4}{3} \pi \times (15.625)$

= $\frac{4}{3} \times 49.06$

= $\frac{196.24}{3}$

= 65.41

Step 2: Finding the volume of empty space of the can

volume of empty space of the can = volume of 5 golf ball

= 5 X 65.41

= 327.05

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oksian1 [2.3K]

Answer:

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Step-by-step explanation:

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