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2 years ago

11

The aspect ratio of a rectangular shape is it's length divided by it's width (L/W). If the aspect ratio of a chalkboard is 4:3 a

nd the width is 5 in, what is the length of the chalkboard? A. 6.67 in B. 9.33 in C. 12 in D. 14 in

1 answer:

saul85 [17]2 years ago

5 0

The answer is C. 12in

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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Zigmanuir [339]

Answer:

Shift 4 units down: $g(x) = 2x - 10$

Stretching f(x) by 4 : $g(x) =8x - 24$

Shift 4 units left: $g(x) = 2x - 14$

Compress by 1/4 units : $g(x) = 8x - 6$

Step-by-step explanation:

Given

$f(x) = 2x - 6$

Required

Match the transformations (See attachment)

<u>Shift 4 units down</u>

Shifting down a function is represented as:

$g(x) = f(x) - b$

In this case:

$b = 4$

Substitute expression for f(x) and 4 for b in $g(x) = f(x) - b$

$g(x) = 2x - 6 - 4$

$g(x) = 2x - 10$

<u>Stretching f(x) by 4 </u>

Stretching a function by some units is represented as:

$g(x) =b.f(x)$

In this case:

$b = 4$

Substitute expression for f(x) and 4 for b in $g(x) =b.f(x)$

$g(x) =4 * (2x - 6)$

$g(x) =8x - 24$

<u>Shift 4 units left</u>

Shifting a function to the left is represented as:

$g(x) = f(x - b)$

In this case:

$b = 4$

Substitute expression for f(x) and 4 for b in $g(x) = f(x - b)$

$g(x) = f(x-4)$

Calculating f(x - 4)

$f(x) = 2x - 6$

$f(x - 4) = 2(x - 4) - 6$

$f(x - 4) = 2x - 8 - 6$

$f(x - 4) = 2x - 14$

Hence:

$g(x) = 2x - 14$

<u>Compress by 1/4 units </u>

This means that the function is stretched by $1/\frac{1}{4}$

Compressing a function is represented as:

$g(x) =f(bx)$

In this case:

$b = 1/\frac{1}{4}$

$b = 1 * \frac{4}{1}$

$b = 4$

Substitute expression for f(x) and 4 for b in $g(x) =f(bx)$

$g(x) =f(4x)$

Calculating f(4x)

$f(4x) = 2(4x) - 6$

$f(4x) = 8x - 6$

Hence:

$g(x) = 8x - 6$

7 0

2 years ago

HELP WILL MAKE BRAINLIST TO WHOEVER DID IN EXPLAINATION

Nataly_w [17]

Answer:

The scouts hiked up the mountain in 1 mile.

Step-by-step explanation:

7 0

2 years ago

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Andrew [12]

Answer: x = 9.611 ; or ; x = 9 11/18 .
_________________________________________________
Explanation:
________________________________________________

All angles of any triangle must add up to 180 degrees.

So, (10x - 4) + (8x + 3) + 91 = 180 ; Solve for "x" ;
___________________________________________
10x - 4 + 8x + 3 + 81 = 180 ;

Combine the "like terms" on the left-hand side of the equation:
___________________________________________
+10x + 8x = 18x ;

- 4 + 3 + 8 = 7 ;
____________________________
18x + 7 = 180 ;
___________________________________________
Subtract "7" from each side of the equation:
___________________________________________
18x + 7 - 7 = 180 - 7 ;
___________________________________________
to get:

18x = 173 ;
_________________________________
Divide EACH side of the equation by "18" ; to isolate "x" on one side of the equation; and to solve for "x" ;
_________________________________
18x / 18 = 173 / 18 ;
_________________________________
x = 9.6111111111111111....
_____________________________________

Write as: 9.611 ; or; 9 11/18.
____________________________________

7 0

3 years ago

What is the image of g for a 240° counterclockwise rotation about the center of the regular hexagon

Alisiya [41]

So for this one, 240 is Two Thirds of 360, which means in a shape with 6 points, it would move four points counterclockwise.
This would move G to the point H
C. H

7 0

2 years ago

Raju is cycling at a speed of 30km/h. He applies brakes and stops at a junction in 10s. Calculate the acceleration.

Sedbober [7]

Answer:

Acceleration = 3m/s²

Step-by-step explanation:

Here ,

Initial velocity = 30km/h

Final velocity = 0km/h

Time = 10s

Acceleration = ?

We know ,

A = v-u/t

or , A = 0-30/10

or, A = 30/10

A = 3m/s²

Therefore the acceleration is 3m/s²

7 0

2 years ago