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3 years ago

While taking an online pretest for an algebra class, the distance formula was displayed as shown below.

Mathematics

1 answer:

olga_2 [115]3 years ago

6 0

The calculated distance would be in square units instead of linear units.

Answer: Option C.

<u>Explanation:</u>

The Distance Formula itself is actually derived from the Pythagorean Theorem. This is the formula where c is the longest side of a right triangle (also known as the hypotenuse) and a and b are the other shorter sides (known as the legs of a right triangle).

The distance formula is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. The hypotenuse of the triangle is the distance between the two points.

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What is the distance between the points (4, 6) and (5, 3)? Write the answer in simplest radical form.

frez [133]

Answer:

$\sqrt{10} \: \: units$

Step-by-step explanation:

$\sqrt{(6 - 3)^{2 } + (4 - 5)^{2} }$

$\sqrt{9 + 1}$

$\sqrt{10}$

= 3.16 units

7 0

3 years ago

A box of pencils is 5 1/4 inches wide. Seven pencils, laid side by side, take up 2 5/8 inches of the width. How many inches of t

Andre45 [30]

Answer: Width of box is not taken up by pencils = $2\dfrac58\text{ inches}$

Width of each pencil $=\dfrac38\text{ inches}$

Step-by-step explanation:

Given: Width of pencil box = $5\dfrac14\text{ inches}=\dfrac{21}{4}\text{ inches}$

Width of seven pencils = $2\dfrac58\text{ inches}=\dfrac{16+5}{8}\text{ inches}=\dfrac{21}{8}\text{ inches}$

Width of box is not taken up by pencils = Width of pencil box - Width of seven pencils

$\left \{ {{y=2} \atop {x=2}} \right. \dfrac{21}{4}-\dfrac{21}{8}\\\\=\dfrac{21\times2-21}{8}\\\\=\dfrac{21}{8}\text{ inches}=2\dfrac58\text{ inches}$

Width of box is not taken up by pencils = $2\dfrac58\text{ inches}$

Width of each pencil = (Width of seven pencils ) ÷ 7

$=\dfrac{21}{8}\div7\\\\=\dfrac{21}{8}\times\dfrac17\\\\=\dfrac38\text{ inches}$

Width of each pencil $=\dfrac38\text{ inches}$

3 0

3 years ago

Read 2 more answers

Which equation has solution x = -3? *

Alex73 [517]

Answer:

1/2(2x-6)= -6

Step-by-step explanation:

Multiply the two sides by the equation 2

2x-6=12

move the constant to the right hand side change sign

2x = -12 + 6

calculate the sum

2x= -6

Divide the 2 sides by 2

x= -3

8 0

3 years ago

A beetle is 1/5 inch wide and 2/5 inch long. How much greater is the beetle's length than its width?

Neporo4naja [7]

Answer:

2 times as long

Step-by-step explanation:

2/5 divded by 1/5 equals two

6 0

3 years ago

Can someone help me with this geometry question????

Gnesinka [82]

3.865in^2

It's (the area of the square minus the area of the circle) divided by 2.

So, Area of the square is 6x6=36

Area of the circle is (pi)*(radius=3)^2=28.27

36-28.27=7.73

7.73/2=3.865in^2

7 0

3 years ago