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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

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Explain why (1/2) sqaured 4 = 1/16
natka813 [3]

Step-by-step explanation:

(\frac{1}{2})^4 = (\frac{ 1^4 }{2^4}) = (\frac{1}{16})

HOPE THIS HELPS

7 0
3 years ago
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Enter the addition problem so the fractions have a common denominator. Then find
sveticcg [70]

Answer:

7/10

Step-by-step explanation:

1/10 + 3/5

1/10 + 6/10

7/10

4 0
3 years ago
If the sin of angle x is 4 over 5 and the triangle was dilated to be two times as big as the original, what would be the value o
beks73 [17]

Answer:

Sin of x does not change

Step-by-step explanation:

Whenever a triangle is dilated, the angle remains the same as well as the ratio for sides of triangle. For smshapes with dimensions, when shapes are dilated the dimensions has increment with common factor.

From trigonometry,

Sin(x)=opposite/hypotenose

Where x=4/5

Sin(4/5)= opposite/hypotenose

But we were given the scale factor of 2 which means the dilation is to two times big.

Then we have

Sin(x)=(2×opposite)/(2×hypotenose)

Then,if we divide by 2 the numerator and denominator we still have

Sin(x)=opposite/hypotenose

Which means the two in numerator and denominator is cancelled out.

Then we still have the same sin of x. as sin(4/5)

Hence,Sin of x does not change

4 0
3 years ago
Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park: A coordinate plane is shown.
Nostrana [21]

Question:

Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park.There is a point at (−6, 3) labeled Dog 1. There is a point at (−6, −3) labeled Dog 2.

Which statement best describes the relationship between the positions of the two players?

A.Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

B.Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

C.Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.

D. Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.

Answer:

Option B: Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

Explanation:

The position of the Dog 1 is (−6, 3).

The position of the Dog 2 is (−6, -3).

From the graph, we can see that the image of Dog 1 is reflected over x-axis. Because to reflect an image over x-axis, the signs of y-coordinate must be changed.

Hence, Option B is correct.

Thus, Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.

7 0
3 years ago
how to find the volume of each sphere, both in terms of \pi and the nearest tenths for r=3 use 3.14 for \p.
icang [17]
Volume formula of a sphere:
\frac{4}{3}\pir³

given:
r = 3 

V = \frac{4}{3}\pi(3)³
V = \frac{4}{3} × 27\pi
V = 36\pi units³ (in terms of \pi)
V = 113.097 units³ ≈ 113.1 units³
6 0
3 years ago
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