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kifflom [539]
3 years ago
14

On a coordinate plane, points (1, 2), (3, 6), and (5, 10) are plotted. Which characteristics tell you that this graph shows a pr

oportional relationship? Check all that apply. Three points are on the graph. A straight line can be drawn through the points. The ordered pairs all have the same x- and y-values. The line connecting the points passes through the origin.

Mathematics
1 answer:
strojnjashka [21]3 years ago
6 0

Answer:

The second and fourth one

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Write the equation of a circle with center at (3, -2), which also passes through the point (0, 2).
Airida [17]

\text{The equation of acircle:}\\\\(x-h)^2+(y-k)^2=r^2\\\\(h;\ k)-center\\r-radius\\\\\text{We have center}\ (3,\ -2)\to h=3\ \text{and}\ k=-2.\\\\\text{The radius is the distance between the points} (3,\ -2)\ \text{and}\ (0,\ 2).\\\\\text{The formula of a distance between two points:}\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\\text{Substitute:}\\\\d=\sqrt{(2-(-2))^2+(0-3)^2}=\sqrt{4^2+(-3)^2}=\sqrt{16+9}\\\\=\sqrt{25}=5\\\\Answer:\ \boxed{(x-3)^2+(y-(-2))^2=5^2\to\boxed{(x-3)^2+(y+2)^2=25}}

3 0
3 years ago
A museum groundskeeper is creating a semicircular statuary garden with a diameter of 32 feet. There will be a fence around the g
Leviafan [203]

Answer:

Step-by-step explanation:

There will be a fence around the garden. ... per linear foot. About how much will the fencing costs altogether? Round to the nearest hundreth. Use 3.14 for π ... The straight part of the fence will equal the diameter (d) = 32. The rounded portion will be 1/2 the circumference = (pi)d/2 = (3.14)(16)=50.24.

3 0
3 years ago
What is the volume of the rectangular prism
maria [59]

Answer:

\frac{23}{3} cubic units

Step-by-step explanation:

To find the volume, we can multiply the base by the height.  \frac{4}{3} * \frac{23}{4} is \frac{92}{12}, or \frac{23}{3}.  So the volume is \frac{23}{3} cubic units.

6 0
3 years ago
Please answer honestly : )
FrozenT [24]

Answer:

D) J

B) point Q

Step-by-step explanation:

we know that the ginipigs are only given 80 in total. that means 80 is 100%

40÷80*100=50%

20÷80*100=25%

10÷80*100= 12.5%

10÷80*100= 12.5%

all this together is 100%

meaning the best answer is

Q is the only place that = -1/2

3 0
3 years ago
The diagonals of a rectangle have length 12 and intersect in a 40 degree angle. Find the length and width rounded to the nearest
Tamiku [17]

Answer:

Length is 7.7 and width is 9.2

Step-by-step explanation:

The length and width of the rectangle will be the y and x coordinate of the diagonal line at angle of 40 degrees

Length L = dsin theta

Width W = d coos theta

d is the length of the diagonal

Given

d  = 12

theta = 40°

Substitute

Length = 12sin40°

Length = 12(0.6428)

Length = 7.7135

Length ≈ 7.7

Width = 12cos 40

Width = 12(0.7660)

Width = 9.192

Width = 9.2

Hence the length is 7.7 and width is 9.2

4 0
2 years ago
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