Find XY when X is (-3,0) and y is (0,7)

Triangle ABC has been reflected over the x-axis to create triangle A'B'C'. Which of the following statements is true?

Leto [7]

Answer:

A ' = (-2, -3)

B ' = (0, -3)

C ' = (-1, 1)

=======================================================

Explanation:

To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.

Algebraically, the reflection rule used can be written as

Applying this rule to the three given points will mean....

Point A = (-2, 3) becomes A ' = (-2, -3)

Point B = (0, 3) becomes B ' = (0, -3)

Point C = (-1, -1) becomes C ' = (-1, 1)

The diagram is provided below.

Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.

Step-by-step explanation:

7 0

2 years ago

-x^2+4x-8 axis of symmerty

V125BC [204]

Answer:

$\boxed {\boxed {\sf x=2}}$

Step-by-step explanation:

The axis of symmetry can be calculated using the formula:

$x=\frac{-b}{2a}$

First we must determine a and b from the quadratic: $-x^2+4x-8$ . This is in standard form, with the highest power first in descending order.

Standard form is also: $ax^2+bx+c$

If we compare this to the quadratic given, we can conclude that:

$a= -1 \\b= 4 \\c= -8$

Substitute the values for a and b into the formula.

$x= \frac{-(4)}{2(-1)}$

Multiply in the denominator.

$x=\frac {-4}{-2}$

Divide.

$x=2$

This can also be determined from the graph. It is the x-coordinate of the vertex or the maximum/minimum. It divides the quadratic into 2 symmetrical halves.

8 0

3 years ago

Find the measure of angle J. 123° 237° 57° 115°

Bumek [7]

Answer:

57. You Take 180 And Subtract It From The 65 And 58 To Get Your Answer

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

You sell tickets for admission to your school play and collect a total of $104. Admission prices are six dollars for adults and

Tanzania [10]

Answer: you sold 10 adult tickets and 11 children tickets.

Step-by-step explanation:

Let x represent the number of adult tickets that you sold.

Let y represent the number of children tickets that you sold.

You sold a total of 21 tickets. This means that

x + y = 21

Admission prices are six dollars for adults and four dollars for children. You sell tickets for admission to your school play and collect a total of $104. This means that

6x + 4y = 104 - - - - - - - - - -1

Substituting x = 21 - y into equation 1, it becomes

6(21 - y) + 4y = 104

126 - 6y + 4y = 104

- 6y + 4y = 104 - 126

- 2y = - 22

y = - 22/ -2 = 11

Substituting y = 11 into x = 21 - y, it becomes

x = 21 - 11 = 10

3 0

3 years ago

A bank loaned out $33,500, part of it at the rate of 12% annual interest, and the rest at 14% annual interest. The total interes

algol13

Answer:

$17,500 at 14%
$16,000 at 12%

Step-by-step explanation:

Let x represent the amount loaned at 14%. Then the total interest earned is ...

0.14x +0.12(33,500 -x) = 4,370

0.02x = 350 . . . . . . . . . . subtract 4020 and simplify

x = 17500 . . . . . . . . . divide by 0.02

The amount loaned at 12% is $33,500 -17,500 = $16,000.

$17,500 was loaned at 14%

$16,000 was loaned at 12%

3 0

2 years ago