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3 years ago

A board measuring 7.2 feet must be cut into three equal pieces

Mathematics

1 answer:

Softa [21]3 years ago

7 0

Each piece would be about 2.4 feet long. You find this out by dividing 7.2 and 3 which comes out to 2.4

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Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S

Harman [31]

ANSWER

$y = \frac{3}{2} x + 8$

EXPLANATION

The line given to us has equation,

$2x + 3y = 9$

We need to write this equation in the slope intercept form to obtain,

$3y = - 2x + 9$

$\Rightarrow \: y = - \frac{2}{3}x + 3$

The slope of this line is

$m_1 = - \frac{2}{3}$
Let the slope of the perpendicular line be

$m_2$

Then
$m_1 \times m_2 = - 1$

$- \frac{2}{3} m_2= - 1$

This implies that,

$m_2 = - 1 \times - \frac{3}{2}$

$m_2 = \frac{3}{2}$

Let the equation of the perpendicular line be,

$y = mx + b$

We substitute the slope to get,

$y = \frac{3}{2} x + b$

Since this line passes through
$(-2,5)$
it must satisfy its equation.

This means that,

$5= \frac{3}{2} ( - 2)+ b$

$5 = - 3 + b$

$5 + 3 = b$

$b = 8$

Wherefore the slope-intercept form is

$y = \frac{3}{2} x + 8$

6 0

3 years ago

I need help on how to solve this so anything is good :)

DanielleElmas [232]

Answer:

STUV is a square

Step-by-step explanation:

segment length² = (x-x₁)² + (y-y₁)²

ST²: (-9 - 1)2 + (14 - 10)² = (-10)² + 4² = 116 (the rest follow this formula)

TU² = 116 TV² = 232 SU² = 232 SV² = 116 UV² = 116

ST = TU =SV = UV (4 sides congruent)

TV = SU (diagonal equal)

This is a square

4 0

2 years ago

Write down tower more multiples with the answer of 33.642

DENIUS [597]

Answer:

Step-by-step explanation:

3 0

2 years ago

How many times does 17 go into 65 no decimals please only remainders if there is one.

STALIN [3.7K]

Answer: 3.82

Step-by-step explanation: there is a decimal

4 0

2 years ago

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A cone-shaped paper cup can hold 35 cubic inches of food. If the radius of the cone is 2.4 inches, what is the height of the con

SVETLANKA909090 [29]

$\bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}~~
\begin{cases}
r=radius\\
h=height\\
-----\\
r=2.4\\
V=35
\end{cases}\implies 35=\cfrac{\pi (2.4)^2 h}{3}\implies 105=5.76\pi h
\\\\\\
\cfrac{105}{5.76\pi }=h\implies 5.805467091295 \approx h\implies 5.81 \approx h$

7 0

3 years ago

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