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AysviL [449]
3 years ago
13

​​ What is the area of a rectangle with vertices at ​ (−4, 0) ​, ​ (−3, 1) ​ , (0, −2) , and (−1, −3) ? Enter your answer in the

box. Do not round any side lengths.
Mathematics
1 answer:
Mkey [24]3 years ago
6 0
First, find the distance between (-4, 0) and (-1, -3) by using the distance formula, you will get the √18
second, find the distance between (-4, 0) and (-3, 1), the result is √2
so the area is the √18*√2=6

Please refer to this website for the distance formula:
http://www.mathwarehouse.com/algebra/distance_formula/index.php

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A fountain, 3 ft in diameter, sits in the center os a circular duck pond. The pond measures 3 ft from the fountain to its edge.
umka2103 [35]

Answer:

56.55\ ft^2

Step-by-step explanation:

We know that the diameter of the fountain is 3 feet and that it is in the center of the pond.

We know that the area of a circumference is:

\pi(r)^2

where r is the radius of the circumference.

further

d = 2r

Where d is the diameter of the circumference.

Then the radius r_1 of the source is 1.5 ft.

The radius r_2 of the pond is 1.5 + 3 = 4.5 ft

Finally the area of the pond is equal to the area of the ring that is shown in the image

A = \pi(r_2)^2 - \pi (r_1)^2\\\\A = \pi(4.5)^2 - \pi(1.5)^2\\\\A = \pi(4.5^2 - 1.5^2)\\\\A = 18\pi = 56.55\ ft^2


5 0
3 years ago
Which statement(s) could describe the graph of a nonproportional relationship? Select all that apply​
Solnce55 [7]

Answer:

A. The positive y-intercept.

D. The y-intercept is negative.

Step-by-step explanation:

The proportional relationship is defined by the graph passing through the origin i.e. the y-intercept is equal to zero.

The equation of y proportional to x relationship is y = kx, which again denotes that the graph passes through the origin (0,0).

Now, the statements that can describe the graph of a non-proportional relationship are  

A. The positive y-intercept.

D. The y-intercept is negative. (Answer)

6 0
3 years ago
How do you write a quadratic equation in standard form?
Lemur [1.5K]

Answer:

  • Powers of the variable descending left to right
  • right side of the equal sign is 0

Step-by-step explanation:

For some constants a, b, and c, the standard form* is ...

  ax^2 + bx + c = 0

___

It is nice if the leading coefficient (a) is positive, but that is not required.

The main ideas are that ...

  • Powers of the variable are descending
  • All of the non-zero terms are on the left side of the equal sign
  • Like terms are combined

_____

* This is the <em>standard form</em> for a quadratic. For other kinds of equations, when the expression is equal to zero, this would be called "general form."

3 0
3 years ago
198 cents to 234 cents
Anarel [89]

Answer:

i dont understand what ur asking

Step-by-step explanation:

6 0
3 years ago
The height h of a cylinder is 3 units lees than 4 times its radius r. Which expression represents the height of the cylinder in
frez [133]
Well it's 4 time the radius, so 4r
And it's 3 less than that, so
4r - 3 is the height
7 0
3 years ago
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