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3 years ago

A transformation that maps the vertex A( 3 , 4 ) to A’ ( -4 , 3 ) is

Mathematics

1 answer:

Katen [24]3 years ago

5 0

Answer:

"A translation of 7 units to the left followed by a translation of 1 unit down".

Step-by-step explanation:

There are multiple transformations that map one point into another, here is one example that works particularly for translations, which are the simplest (and usually the most used) transformations.

Suppose that we have the point (a, b) which is transformed into (a', b')

Then we have a horizontal translation of (a' - a) units followed by a vertical translation of (b' - b) units.

(the order of the translations does not matter, is the same having first the vertical translation and then the horizontal one).

Here we have the point A (3, 4) transformed into (-4, 3)

Then we have a horizontal translation of ((-4) - 3) = -7 units followed by a vertical translation of (3 - 4) = -1 units.

Where a horizontal translation of -7 units is a translation of 7 units to the left, and a vertical translation of -1 unit is a translation of 1 unit down.

Then we can write this transformation as:

"A translation of 7 units to the left followed by a translation of 1 unit down".

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Irina rode her bike to work at an average speed of 16 miles per hour. It started to rain, so she got a ride home along the same

Sedaia [141]

Answer:

0.7 hours

Step-by-step explanation:

Given that Irina was able to make the same distance from work to home in 0.4 of an hour at 27 miles per hour, we can use this rate and time to find the distance she travels to and from work using the general formula:

d = rt, where d=distance, r = rate and t = time

d = 27(0.4) = 10.8 miles

Since the distance from Irina's home to work is 10.8 miles, we can again use the formula 'd = rt' to find the time it takes her to bike to work at a rate of 16 miles per hour and solving for time, 't':

10.8 = (16)t

t = 0.7 hours

3 0

3 years ago

Consider two forces of 17 and 42 pounds both acting in the horizontal direction on a single object. find the resultant force act

lys-0071 [83]

The forces have a magnitude of 59 pounds, and their direction angles are zero.

<h3>What is the magnitude of force?</h3>

The total amount of forces exerted on an object is referred to as the magnitude of force. The strength of the force increases when all the forces are pulling in the same direction. The force's strength reduces when forces are exerted on an item from different angles.
When two forces operating on a body in opposite directions along the same line of action are equal in magnitude, they cancel one another out. When two forces operating on a body in opposite directions along the same line of action are equal in magnitude, they cancel one another out.
According to this formula, the amount of net force acting on an item is equal to the mass times the acceleration of the object.
Magnitude is a term that refers to size or importance. The depth of the Grand Canyon serves as an illustration of magnitude. The scope of the hunger crisis in the world serves as an illustration of magnitude. A measurement of the energy released by an earthquake, as shown on the Richter scale (geology).

Two forces of 17 and 42 pounds act horizontally on an object.

i.e

F1 = 17 pounds

F2 = 42 pounds

As the magnitude of the force represents the sum of all the forces

The direction is the same

Magnitude : 17 + 42 = 59 pounds

The Direction angles : 0

As they have the same direction so angle will be 0.

The forces have a magnitude of 59 pounds, and their direction angles are zero.

To learn more about the Magnitude of forces and Direction angles of forces, refer to:

brainly.com/question/14584426

#SPJ4

7 0

2 years ago

Sam earned $40 on his investment of $400. He earned 5% interest on his investment. How long did Sam leave his money in the bank?

gogolik [260]

Answer:

2yrs

Step-by-step explanation:

Given parameters:

Amount of interest earned = $40

Principal = $400

Interest rate = 5%

Unknown:

Time taken for the money to be in bank = ?

Solution:

The formula for interest is given as:

I = $\frac{PRT}{100}$

Where I is the interest

P is the principal

R is the rate

T is the time

So;

100I = PRT

T = $\frac{100I }{PR}$ = $\frac{100 x 40}{400 x 5}$ = 2yrs

8 0

3 years ago

Which is greater <br> 7/12 <br> 10/12

shtirl [24]

10/12 is more than 7/12

3 0

3 years ago

Read 2 more answers

Verify this trig function. <br> tanysiny = secy-cosy ?

avanturin [10]

$LHS\\ \\ =\tan { y } \sin { y } \\ \\ =\frac { \sin { y } }{ \cos { y } } \cdot \sin { y }$

$\\ \\ =\frac { \sin ^{ 2 }{ y } }{ \cos { y } } \\ \\ =\frac { 1-\cos ^{ 2 }{ y } }{ \cos { y } }$

$\\ \\ =\frac { 1 }{ \cos { y } } -\frac { \cos ^{ 2 }{ y } }{ \cos { y } } \\ \\ =\sec { y } -\cos { y } \\ \\ =RHS$

6 0

3 years ago