All categories

3 years ago

The vertices of a triangle are A (0, 2), B(-2,-5), and C(0,5). Find the new vertices.

Mathematics

1 answer:

Umnica [9.8K]3 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

Given the translation rule

(x, y ) → (x + 3, y - 2 )

This means add 3 to the original x- coordinate and subtract 2 from the original y- coordinate, thus

A(0, 2 ) → A'(0 + 3, 2 - 2 ) → A'(3, 0 )

B(- 2, - 5 ) → B'(- 2 + 3, - 5 - 2 ) → B'(1, - 7 )

C(0, 5 ) → C'(0 + 3, 5 - 2 ) → C'(3, 3 )

You might be interested in

Alkena and Hsu together earn $84,369 per year, If alkena earns $12,468 more per year than Hsu, the how much of them earn per yea

scoray [572]

Answer:

Hsu makes $35,950.50 and Alkena makes $48,418.50

Step-by-step explanation:

Create a system of equations, where h is the amount Hsu makes and a is the amount Alkena makes:

a + h = 84,369

a = h + 12,468

Solve by substitution by plugging in h + 12,468 as a:

h + 12,468 + h = 84,369

2h + 12,468 = 84,369

2h = 71,901

h = 35,950.50

Plug this into the equation, a = h + 12,468 , to solve for a

a = 35,950.50 + 12,468

a = 48,418.50

So, Hsu makes $35,950.50 and Alkena makes $48,418.50

3 0

3 years ago

Find the least number of six digits which is a perfect square

Kisachek [45]

Answer:

100489

Step-by-step explanation:

3 0

3 years ago

An ellipse has vertices at (0, #17) and foci at (0, ±15). Write the equation of the ellipse in standard form. Graph the ellipse.

Lunna [17]

<u>ANSWER</u>

$\frac{ {x}^{2} }{ 64 } + \frac{ {y}^{2} }{ 289 } = 1$

See attachment for the graph

<u>EXPLANATION</u>

The standard equation of the vertical ellipse with center at the origin is given by

$\frac{ {x}^{2} }{ {b}^{2} } + \frac{ {y}^{2} }{ {a}^{2} } = 1$

where

${a}^{2} \: > \: {b}^{2}$

The ellipse has its vertices at (0,±17).

This implies that:a=±17 or a²=289

The foci are located at (0,±15).

This implies that:c=±15 or c²=225

We use the following relation to find the value of b²

${a}^{2} - {b}^{2} = {c}^{2}$

$\implies \: 289 - {b}^{2} = 225$

$- {b}^{2} = 225 - 289$

$- {b}^{2} = - 64$

${b}^{2} = 64$

We substitute into the formula for the standard equation to get:

$\frac{ {x}^{2} }{ 64 } + \frac{ {y}^{2} }{ 289 } = 1$

4 0

3 years ago

WE NEED ANSWERS HELP US

jolli1 [7]

It would be 5 because 4/5 is 5

7 0

3 years ago

Find the percent of the number. 5% of 60

pentagon [3]

Answer: 5% of 60 is 3.

5 0

4 years ago