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laiz [17]
2 years ago
9

This graph shows a proportional relationship.

Mathematics
1 answer:
Elodia [21]2 years ago
8 0

Answer:

  • k = 12

Step-by-step explanation:

One pair of coordinates is sufficient to work out the constant of proportionality.

<u>Equation in general form:</u>

  • y = kx

and

  • Point (3, 36)

<u>Substitute x- and y- coordinates into equation and find the value of k:</u>

  • 36 = k*3
  • k = 36/3
  • k = 12
You might be interested in
The base of the 37 foot ladder is 9 feet from the wall of a building. will the top of the ladder reach a window ledge 35 feet ab
AnnZ [28]

Answer:

The answer to your question is Yes.

Step-by-step explanation:

The math in this problem is that we need to use the Pythagorean theorem to solve it. Pythagorean theorem is part of trigonometry a branch of Maths.

Data

base = 9 ft                      

length = 37 ft

height = ?

Pythagorean theorem

                                     c² = a² + b²

length = c

base = a

height = b

                                   37² = 9² + b²

-Solve for b

                                    b² = 37² - 9²

-Simplify

                                    b² = 1369 - 81

                                    b² = 1288

-Result

                                   b = 35.88

-Conclusion

The ladder will reach a height higher than 35 ft.  

8 0
3 years ago
Help plzzz!!Given P(A) = 0.78, P(B) = 0.65 and P(AUB) = 0.873, find the value of
Gelneren [198K]
<h3>Answer: 0.557</h3>

===================================================

Work Shown:

P(A \cap B) = P(A) + P(B) - P(A \cup B)\\\\P(A \cap B) = 0.78 + 0.65 - 0.873\\\\P(A \cap B) = 0.557\\\\

-------------

Side note:

A similar formula is P(A \cup B) = P(A) + P(B) - P(A \cap B)

We can isolate the last term to get the first equation shown above.

5 0
3 years ago
Read 2 more answers
How do you write 28.4 in expanded form?
marta [7]
It would be:  2*10 + 8*1 + 4*10^-1
7 0
3 years ago
Read 2 more answers
The edges of a cube are 5 cm each and the diaganol of a face is approximately 7 cm what is the approximate area of the cross sec
xxTIMURxx [149]

Answer:

The approximate area is 35 square centimeters

Step-by-step explanation:

we know that

The cross section passing through the diagonal of opposite faces of the cube is a rectangle

so

the approximate area is equal to

A=bh

where

b is the diagonal of a face

h is the length side of the cube

we have

b=7\ cm\\h=5\ cm

substitute

A=7(5)=35\ cm^2

7 0
3 years ago
Given the coordinate T(8, -4), find the location of T after a dilation using a scale factor of 0.4.
vagabundo [1.1K]

The new coordinate will be T'(3.2 , -1.6) .

<h3>What is the meaning of Dilation ?</h3>

Dilation is the transformation that changes the size of the object without changing its shape .

If a coordinate point is (x,y) and a dilation of scale factor f is applied then the new coordinates will be (fx ,fy)

The coordinate given in the question is T(8, -4)

The scale factor is 0.4

The new coordinate is

T'( 0.4 * 8 , 0.4 * (-4))

T'(3.2 , -1.6)

Therefore the new coordinate will be T'(3.2 , -1.6)

To know more about Dilation

brainly.com/question/13176891

#SPJ1

8 0
2 years ago
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