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Anestetic [448]
3 years ago
8

Can someone please help me.......

Mathematics
1 answer:
svetoff [14.1K]3 years ago
5 0
Point -2,-1 would change to -2,0. the area of the new rectangle is 10 square units
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25 POINTS AVAILABLE
myrzilka [38]

Answer:

\large\boxed{1.\ (-3, 0),\ r = 3}\\\boxed{2.\ (x+4)^2+(y-3)^2=36}\\\boxed{3.\ (x-2)^2+(y-1)^2=(\sqrt{34})^2}

Step-by-step explanation:

The equation of a circle in standard form:

(x-h)^2+(y-k)^2=r^2

(h, k) - center

r - radius

1. We have the equation:

(x+3)^2+y^2=9\\\\(x-(-3))^2+(y-0)^2=3^2

<h2 />

2. We have the center (-4, 3) and the radius r = 6. Substitute:

(x-(-4))^2+(y-3)^2=6^2\\\\(x+4)^2+(y-3)^2=36

3. We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)

Substitute:

h=\dfrac{-1+5}{2}=\dfrac{4}{2}=2\\\\k=\dfrac{6+(-4)}{2}=\dfrac{2}{2}=1

The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substitute the coordinates of the points (2, 1) and (5, -4):

r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}

Finally we have:

(x-2)^2+(y-1)^2=(\sqrt{34})^2

7 0
3 years ago
Find the value of y.
olga nikolaevna [1]
Try this option:
1. the sides of the biggest triangle are 16; x and √(16²-x²); the sides of the smallest triange are x;5 and y. The smallest triangle ~ the biggest triangle. Using the property of the similar triangles: 
\frac{x}{5} = \frac{16}{x}, \ then \ x= \sqrt{80}
2. according to the Pyphagorean theorem (in the smallest triangle):
y= \sqrt{ \sqrt{80^2} -5^2} = \sqrt{55}

answer: y=√55.
4 0
3 years ago
The total scores on the Medical College Admission Test (MCAT) follow a Normal distribution with mean 25.2 and standard deviation
erica [24]
Honey God is good god bless u with that hw
8 0
3 years ago
Computer geometric modeling is used regularly to help design solid figures we see and use every day. Software programs use techn
Stella [2.4K]

The geometric modeling is analyzed below.

<h3>How to illustrate the information?</h3>

Basic shapes are generally created using points, lines, circles, and triangles. Some basic shapes are rectangles, ellipses, triangles, and curves.

In geometric modeling, we make a cad model of parts for virtual analysis. By geometric modeling, one can model, and perform CAE analysis to optimize the product.

The best part is the period of doing all this is very small compared to practical manufacturing and looking at the product. In CAD one can very quickly alter the design and come up with new concepts in a very small span of time.

Here chances of error can be shorted easily and there is no wastage of material hence cost saving is there compared to practically manufacturing the part and altering it.

Learn more about modelling on:

brainly.com/question/28015639

#SPJ1

5 0
2 years ago
What would the ocean be mesured in mi or km or both
OlgaM077 [116]
Both, depends on the place in which you live
4 0
3 years ago
Read 2 more answers
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