All categories

3 years ago

Plz help i can't figure this out for the life of me and it's due tmr

Mathematics

1 answer:

guajiro [1.7K]3 years ago

5 0

Answer:

Step-by-step explanation:

The diagram shows the rectangle with vertices at A(3,4), B(3,7), C(4,7) and D(4,4).

1. Rotate rectangle ABCD by 180° about the point (3,4) (vertex A). This rotation has the rule:

$(x,y)\rightarrow (6-x,8-y)$

So, the image points have the coordinates A'(3,4), B'(3,1), C'(2,1) and D'(2,4)

2. Dilate by a scale factor of 2 with the center of dilation at origin. This dilation has the rule:

$(x,y)\rightarrow (2x,2y)$

So, the image points have the coordinates A''(6,8), B''(6,2), C''(4,2) and D''(4,8)

3. Reflect it over the y-axis. This reflection has the rule:

$(x,y)\rightarrow (-x,y)$

So, the image points have the coordinates A'''(-6,8), B'''(-6,2), C'''(-4,2) and D'''(-4,8) that are exactly the coordinates of the second rectangle shown.

Thus, correct option is option D.

You might be interested in

convert 13542 base six to base ten. I'm in math20 at Folsom Lake College and i'm trying to figure out this question. I had most

VikaD [51]

Converting to base 10 can be done easily by writing a sort of digit expansion. In base 6, this number literally means

$13542_6=1\times6^4+3\times6^3+5\times6^2+4\times6^1+2\times6^0$

Simplifying this gives the value in base 10.

$13542_6=1296+3\times216+5\times36+4\times6+2$
$13542_6=2150_{10}$

6 0

3 years ago

45 POINTS At a high school football game, 4 out of every 7 students in line to buy a ticket wore a hat. If 350 students bought a

nataly862011 [7]

Step-by-step explanation:

Number of students who wore a hat

= 4/7 * Number of students who bought a ticket

= 4/7 * 350 students

= 200 students.

Number of students not wearing a hat

= Number of students who bought a ticket - Number of students who wore a hat

= 350 students - 200 students

= 150 students.

6 0

2 years ago

Read 2 more answers

How do you solve this?

Readme [11.4K]

What are you trying to solve i can't see anything

3 0

3 years ago

The length of a rectangle is 3 1/6 cm longer than the width. The perimeter of the rectangle is 15 1/3 cm. What are the width and

ahrayia [7]

The width of rectangle is $2\frac{1}{4}$ cm and length is $5\frac{5}{12}$ cm.

Step-by-step explanation:

Let,

Width of rectangle = w

Length of rectangle = $w+3\frac{1}{6}=w+\frac{19}{6}$

Perimeter of rectangle = $15\frac{1}{3}=\frac{46}{3}$ cm

Perimeter = 2(Length + Width)

$\frac{46}{3}=2(w+\frac{19}{6}+w)\\\\\frac{46}{3}=2(2w+\frac{19}{6})\\\\\frac{46}{3}=4w+\frac{19}{3}\\\\4w+\frac{19}{3}=\frac{46}{3}\\\\4w=\frac{46}{3}-\frac{19}{3}\\\\\ 4w=\frac{46-19}{3}\\\\4w=\frac{27}{3}\\\\4w=9$