1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tanya [424]
3 years ago
7

The vertices of a rectangle in the standard (x,y) coordinate plane are (0,0), (0,4), (7,0), and (7,4). If a line through (2,2) p

artitions the interior of this rectangle into 2 regions that have equal areas, what is the slope of this line?
Mathematics
1 answer:
Hatshy [7]3 years ago
3 0

Answer:

slope =0

Step-by-step explanation:

Given that the vertices of a rectangle in the standard (x,y) coordinate plane are (0,0), (0,4), (7,0), and (7,4).

The rectangle has length = 7 and width =4

We know rectangle has two lines of symmetry which are i) vertical line through mid point ii) Horizontal line through mid point

Since the line passes through (2,2) we have the line as middle line.

Hence the required line isy =2

Slope of the line =0

You might be interested in
A rectangle is twice as long as it is wide. if its length is increase by 4 cm and its width is decreased by 3 cm, the new rectan
strojnjashka [21]
Now the width is w.
It's twice as long as wide, so now the length is 2w.

If the length is increased by 4 cm, the length will be 2w + 4.
The width is decreased by 3 cm, so the width will be w - 3.

The are of the new rectangle is 100 cm^2.

area = length * width

area = (2w + 4)(w - 3)

The area of the new rectangle is 100, so we get

(2w + 4)((w - 3) = 100

2w^2 - 6w + 4w - 12 = 100

2w^2 - 2w - 112 = 0

w^2 - w - 56 = 0

(w - 8)(w + 7) = 0

w - 8 = 0   or   w + 7 = 0

w = 8   or   w = -7

A width cannot be negative, so discard w = -7.

w = 8

The width is 8 cm.
The length is twice the width, so the length is 16 cm.
5 0
3 years ago
The function h(t) = -16t2 + 48t + 28 models the height (in feet) of a ball where t is the time (in seconds).
Alex17521 [72]

Answer:

64

Step-by-step explanation:

<em>[using calculus] </em>When the function h(t) reaches its maximum value, its first derivative will be equal to zero (the first derivative represents velocity of the ball, which is instantaneously zero). We have h'(t) = -32t + 48, which equals zero when t = 3/2 = 1.5. The ball therefore reaches its maximum height when t = 1.5. To find the maximum height, we need to find h(1.5), which is 64 feet.

<em>[without calculus] </em>This is a quadratic function, so its maximum value will occur at its vertex. The formula for the x-coordinate of the vertex is -b/2a, so the maximum value occurs when t = -48/(2*16), which is 1.5. The maximum height is h(1.5), which is 64 feet.

5 0
3 years ago
Is 104.12 greater than 104.002
Liono4ka [1.6K]
Yes, 104.12 is greater than 104.002

because 104.12 rounds up to 104.1
        and 104.002 rounds up to 104.0


8 0
3 years ago
John can type 2/3 of a manuscript in 12 hours. If he is joined by Laura, they can complete the typing in 2 hours. How many hours
Sonja [21]
Hello there,

1/18 + 1/x = 1/2 
<span>1/x = 9/18 - 1/18 </span>
<span>1/x = 8/18 = 4/9 </span>
<span>x = 9/4 or 2.25 
</span>
Glad to help!

-HotTwizzlers
6 0
3 years ago
Read 2 more answers
Find the coordinates of the image of the point (0,2) when it is reflected across the line x=3
Firdavs [7]

Answer:

(6,2)

Step-by-step explanation:

because math

8 0
3 years ago
Other questions:
  • Please help me!! I’m failing math. :(
    12·1 answer
  • The measure of angle FHJ is 60,the measure of angle FGH is 28 what is the measure of angle HFG
    5·1 answer
  • N = 3st^4- 5sv solve for v
    14·1 answer
  • Please help!!<br> Answer correct for brainliest and also get a thanks ! :)
    14·1 answer
  • -6x-27=6<br> give me the answer please .
    15·2 answers
  • HELP ME I WILL GIVE BRANLISEST
    7·1 answer
  • Josie bought a pair of jeans for $19.00. this was 3/4 of the original price. What decimal represents her discount
    13·1 answer
  • Simplify the following expression and show your work in details please .
    10·2 answers
  • The cookies Yoko wants come in packs of 9. She needs 37 of these cookies for a party. How many packs should she buy?
    12·1 answer
  • Nvm don't answer this
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!