All categories

3 years ago

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

Mathematics

1 answer:

Olegator [25]3 years ago

5 0

Answer:

Part) A. Part B and Part C see the explanation

Step-by-step explanation:

Part A) Translate Triangle ABC 6 units horizontally How are the values in the ordered pairs affected by the translation?

If the translation is 6 units horizontally, that means that each vertex of the ABC pre-image is going to move 6 units to the right, i.e. each x-coordinate of the ABC pre-image is going to increase by 6 units and each y-coordinate of the ABC pre-image is going to remain the same.

Part B) Translate Triangle ABC -3 units vertically How are the values in the ordered pairs affected by the translation?

If the translation is -3 units vertically, that means that each vertex of the ABC pre-image is going to move 3 units down, i.e. each x-coordinate of the ABC pre-image is going to remain the same and each y-coordinate of the ABC pre-image is going to decrease by 6 units.

Part C) How could you determine the coordinates of the vertices of a translated image without using a graph?

we know that

The coordinates of the image vertices can be determined through the rule of the translation

In the part A) the translation is +6 units horizontally (6 units at right)

therefore

The rule of the translation of the pre-image to the image is equal to

(x,y) ------> (x+6,y)

Example

The coordinates of the pre-image A(-4,1)

To obtain the coordinates of the image A' apply the rule of the translation

A(-4,1)--------> A'(-4+6,1)

A(-4,1)--------> A'(2,1)

In the part B) the translation is -3 units vertically (3 units down)

therefore

The rule of the translation of the pre-image to the image is equal to

(x,y) ------> (x,y-3)

Example

The coordinates of the pre-image A(-4,1)

To obtain the coordinates of the image A' apply the rule of the translation

A(-4,1)--------> A'(-4,1-3)

A(-4,1)--------> A'(-4,-2)

You might be interested in

Hey can you please help me posted picture of question

Dmitry_Shevchenko [17]

Answer:
The solutions are:
$\frac{3 + i}{2}$ and $\frac{3 - i}{2}$

Explanation:
The general form of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
2x² - 6x + 5 = 0

By comparison:
a = 2
b = -6
c = 5

Now, to get the solutions of the equation, we will have to use the quadratic formula shown in the attached image.

By substituting in the formula, we would find that:
either x = $\frac{6 + \sqrt{(-6)^2 - 4(2)(5)} }{2(2)} = \frac{3 + i}{2}$

or x = $\frac{6 - \sqrt{(-6)^2 - 4(2)(5)} }{2(2)} = \frac{3 - i}{2}$

Hope this helps :)

4 0

3 years ago

Find a third angle of a right triangle if one of the angles measures 24°.

WITCHER [35]

Well from what we know about triangle is that they all add up to 180 degrees!

A right triangle would have a 90 degree angle and from the given measurements we know that the other on is 24 degrees.

So we simply subtract!!

180 - 90 = 90 degrees

90 - 24 = 66 degrees

So the measure of the third angle is 66 degrees. :)

Hope this helps. c:

3 0

3 years ago

One pound of beef costs $4.25. One pound of turkey cost $2.85. How much more does 1.25 pounds of the beef cost than 1.25 pounds

BigorU [14]

Answer: $1.75

Step-by-step explanation:

Increase 1.25 by 4.25

5.31

Presently increase 1.25 by 2.85

3.56

Take away 3.56 from 5.31

1.75