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Ne4ueva [31]
3 years ago
8

In a direct variation, y = 18 when x = 6. Write a direct variation equation that

Mathematics
1 answer:
inysia [295]3 years ago
8 0

Step-by-step explanation:

y =kx(where k is constant)

18 = 6k

divide both side by 6

k = 6

The relationship between x and y

y = kx

y =3x

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The lengths of the sides of a triangle are given below. Classify the triangle as acute, obtuse, or right.
abruzzese [7]

Answer:

  • A. Acute Triangle

Step-by-step explanation:

<u>Lets verify with Pythagorean:</u>

  • 17² = 289
  • 13² + 14² = 169 + 196 = 365
  • 289 < 365

The angle opposite to a greater side is less than 90° and the sum of the squares are close.

It means all three angles<u> are less than 90°</u>.

With this the triangle is <u>acute</u>.

Correct choice is A.

6 0
3 years ago
Analyze the graph of the cube root function shown
Greeley [361]

The values of a, h, and k in the general equation is h=1, k=4 and a=2

<h3>What is parent function?</h3>

The function which can be transformed into different ways is the parent function.

On a coordinate plane, a cubic function approaches the x-axis in quadrant 2, crosses the y-axis at (0, 2), has an inflection point at (1, 4), and the goes through (2, 6).

The given function is

y =a³ √(x -h) + k

Put the coordinate (0,2) in the equation, we get

2 = a³ √(0 -h) + k..................(1)

Plug (1, 4), we have

4 =  a³ √(1 -h) + k..................(2)

Plug (2, 6), we have

6 =  a³ √(2 -h) + k..................(3)

On solving these three equations, we have

h=1

k=4

a=2

Thus, value of h is 1, k is 4 and a is 2.

Learn more about parent function

brainly.com/question/17939507

#SPJ1

7 0
2 years ago
If point A is located at (5,-7) and there are 8 points between A and B, what could be the possible coordinates for point B?
aleksandr82 [10.1K]

Answer: The possible cordinates (X,Y) of B can be found with the formula Y = √(8^2 - (X- 5)^2) - 7 where  -3 ≤ X ≤ 13

Step-by-step explanation:

The point A is located at (5, -7)

And we know that we have 8 units of difference between A and B.

The equation of a circle centerd in the point (x0, y0) is:

(x - x0)^2 + (y - y0)^2 = r2

where r is the radius of the circle

So we can draw a circle of 8 units around A, and get:

(X - 5)^2 + (Y - (-7))^2 = 8^2

So from this equation we can find all the possible values of B, for this we can isolate one of the variables in one side and get a function.

Y = √(8^2 - (X- 5)^2) - 7

So for a given value of X, you can find the value of Y. where you need to remember that (8^2 - (X-5)^2) can not be a negative number, so we must have that:

8^2 ≥ (X - 5)^2

So X can go from -3 (because (-3 - 5)^2 = 8^2)

to X = 13 (because (13 - 5)^2 = 8^2)

So X is in the range {-3, 13}

4 0
3 years ago
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What is 17.043956 in decimal form
Novay_Z [31]

Answer:

17.043956

Step-by-step explanation:

5 0
3 years ago
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Using the figure below, write the ratio for tan (C).<br> А<br> 25<br> C<br> 7<br> 24<br> B
miv72 [106K]

Answer:

come have it with me

Step-by-step explanation:

4 0
3 years ago
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