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Alex17521 [72]
3 years ago
9

What is the constant proportionality in the equation y = 6x?

Mathematics
1 answer:
Lesechka [4]3 years ago
5 0

Answer: the constant of proportionality is x

Step-by-step explanation:

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Find the standard equation for the ellipse, using the given characteristic or characteristics. vertices:(0,+-7) foci: (0,+-√33)
Alexxx [7]

Answer:

=\frac{x^2}{16} +\frac{y^2}{49}=1

Step-by-step explanation:

The equation of this ellipse is

\frac{(x-h)^2}{b^2} +\frac{y-k)^2}{a^2} =1

for a vertical oriented ellipse where;

(h,k) is the center

c=distance from center to the foci

a=distance from center to the vertices

b=distance from center to the co-vertices

You know center of an ellipse is half way between the vertices , hence the center (h,k) of this ellipse is (0,0) and its is vertical oriented ellipse

Given that

a= distance between the center and the vertices, a=7

c=distance between the center and the foci, c=√33

Then find b

a^2-b^2=c^2\\\\b^2=a^2-c^2\\\\\\b^2=7^2-(\sqrt{33} )^2\\\\\\b^2=49-33=16\\\\\\b^2=16

The equation for the ellipse will be

\frac{(x-0)^2}{16} +\frac{(y-0)^2}{49} =1\\\\\\=\frac{x^2}{16} +\frac{y^2}{49} =1

8 0
3 years ago
Find the number of sides of a regular polygon if one interior angle is 120 degrees
nikitadnepr [17]

Answer:

Triangle(C)

Step-by-step explanation:

All the Exterior Angles of a polygon add up to 360°, so: each exterior angle must be 360°n (where n is the number of sides). So, 360n=120 ; n=360/120=3 It is a triangle.

6 0
3 years ago
Read 2 more answers
What is the decay factor that corresponds to a product that decreases its value first by 20%, and than decreases by 40% of its v
Georgia [21]
(1-0.2)(1-0.4)(1-0.62) = (0.8)(0.6)(0.38) = 0.1824

Answer: 0.1824
8 0
3 years ago
Read 2 more answers
The probability that it will be at least 70°on Tuesday is 0.65. If it is at least 70°, there is a 0.8 chance that Mrs. Collins w
Zielflug [23.3K]
P(> or =70) =0.65
P(Collins inside) =0.80
P(not 70) = 1-P(70) =>0.35
P(Collins inside) = 0.1
Then P(70 AND Collin inside) .65 x .8 =0.52
P( not 70 AND Collin Outside = 0.35 x 0.1=0.035
TOTAL Possibility [(70 AND Inside) OR (not 70 AND Outside):
=0.52 + 0.034 =0.555


 

7 0
3 years ago
I HAVE A CYLINDER AND cone WITH THE
Vlad1618 [11]

Answer:

99 in³

Step-by-step explanation:

Let the radius and height of each be r and h in. respectively.

Write an equation for the volume of cone.

Volume of cone= ⅓πr²h

⅓πr²h= 33

Multiply both sides by 3:

πr²h= 99

Volume of cylinder= πr²h

We have found the value of πr²h previously, which is 99.

Thus, the volume of the cylinder is 99 in³.

6 0
2 years ago
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