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Montano1993 [528]

3 years ago

6

The length of a rectangle is 3 less than twice the width. If the area of the rectangle is 20 square inches, what are the dimensi

ons of the rectangle?

1 answer:

atroni [7]3 years ago

8 0

Answer:

length is 5

width is 4

Step-by-step explanation:

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Which equation is the direct variation equation if f(x) varies directly with x and f(x)=-18 when x=3

Otrada [13]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{f(x)}{y}=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
y=-18\\
x=3
\end{cases}\implies -18=k3
\\\\\\
\cfrac{-18}{3}=k\implies -6=k\qquad therefore\qquad \boxed{\stackrel{f(x)}{y}=-6x}$

5 0

2 years ago

Please helpppppp i have trouble with math

Andrej [43]

Answer:

6

Step-by-step explanation:

a right triangle's area is half of a square's.

(4*3)/2

6

6 0

2 years ago

Which system has the same situation below?

Likurg_2 [28]

Answer:

2

Step-by-step explanation:

Let's solve the given system of equations.

<u>Given system</u>

x +3y= 10 ----(1)

-2x -2y= 4 ----(2)

From (2):

-2(x +y)= 4

Dividing both sides by -2:

x +y= -2 ----(2)

Thus, options 3 and 4 are incorrect as x +y≠ -2.

(1) -(2):

(x +3y) -(x +y)= 10 -(-2)

Expand:

x +3y -x -y= 10 +2

2y= 12

Divide both sides by 2:

y= 12 ÷2

y= 6

Substitute y= 6 into (2):

x +6= -2

x= -6 -2

x= -8

Options (1) and (2) differs only by the value of the expression of -x +y. Thus, let's find its value in the given system of equations.

-x +y

= -(-8) +6

= 8 +6

= 14

Thus, option 2 is the correct option.

7 0

2 years ago

two ships leave a port at the same time. the first ship sails on a bearing of 55° at 12 knots (natural miles per hour) and the s

Korvikt [17]

Answer:

37.59 nautical miles

Explanation:

Distance = Speed x Time

The speed of the first ship = 12 knots

Thus, the distance covered after 1.5 hours

$\begin{gathered} =12\times1.5 \\ =18\text{ miles} \end{gathered}$

The speed of the second ship = 22 knots

Thus, the distance covered after 1.5 hours

$\begin{gathered} =22\times1.5 \\ =33\text{ miles} \end{gathered}$

The diagram representing the ship's path is drawn and attached below:

The angle at port = 90 degrees.

The triangle is a right triangle.

Using Pythagorean Theorem:

$\begin{gathered} c^2=a^2+b^2 \\ c^2=18^2+33^2 \\ c^2=324+1089 \\ c^2=1413 \\ c=\sqrt[]{1413} \\ c=37.59\text{ miles} \end{gathered}$

The two ships are 37.59 nautical miles apart after 1.5 hours.

8 0

1 year ago

Please help me!!

Tomtit [17]

the area would be 4 times more

so 135 x 4 = 540

3 0

3 years ago