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3 years ago

What is the constant of proportionality in the following equation? y=54.3x

Mathematics

2 answers:

gayaneshka [121]3 years ago

6 0

Its 54.3

explanation:

Karolina [17]3 years ago

3 0

Answer:

54.3

Step-by-step explanation:

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PLEASE HELP!!! Please and thank you

Helga [31]

Hello.

17. ( 3 + 5 ) · 8 = 64

18. 4 · ( 6 - 2 ) + 7 = 23

19. 10 ÷ ( 3 + 2 ) · 4 = 8

20. ( 3 + 6 ) · 2 = 18

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5 0

3 years ago

Verify that your point from Question 2 is a solution to 2x-y=-12x−y=−1 AND is also a solution to y=5x-5y=5x−5. What does it mean

Vera_Pavlovna [14]

Answer:

(a) Verified

(b) They are simultaneous equations

Step-by-step explanation:

Given

$2x - y = -1$

$y =5x - 5$

Required

Verify that: $(x,y) = (2,5)$ is a solution

We have:

$2x - y = -1$

Substitute: $(x,y) = (2,5)$

$2 * 2 - 5 = -1$

Evaluate all products

$4 - 5 = -1$

Subtract:

$-1 = -1$

Because both sides of the equation are equal, then the point is a solution

Also: $y =5x - 5$

Substitute: $(x,y) = (2,5)$

$5 = 5 * 2 - 5$

Evaluate all products

$5 = 10 - 5$

Subtract:

$5 = 5$

Because both sides of the equation are equal, then the point is a solution

Because the given point is a solution to both equations, then they are simultaneous equation

7 0

3 years ago

Joey is saving up for a down payment on a car. He plans to invest $2,000 at the end of every year for 3 years. If the interest r

____ [38]

A=Annual amount=2000
i=annual interest=0.0205
n=number of years=3
Present value
=A((1+i)^n-1)/(i(1+i)^n)
=2000(1.0205^3-1)/(.0205(1.0205^3))
=5762.15

5 0

3 years ago

Read 2 more answers

Tell whether f(x)=−5x^2+10x+7 has a minimum value or a maximum value.

Alecsey [184]

Answer:

has a maximum value

Step-by-step explanation:

.............

6 0

2 years ago

surveyor stands 100 m from the base of a tower on which an antenna stands. He measures the angles of elevation to the top and bo

balu736 [363]

Answer: 36.3m

Step-by-step explanation:

To solve this, we can draw two triangle rectangles, where the distance between the man and the base of the tower is one of the cathetus, the adjacent one, the height will be the opposite cathetus.

The triangle where the elevation angle is 58° is associated with the height of the tower without the aerial

The other triangle, where the elevation angle is 63° is associated with the height of the tower with the aerial.

Then we can calculate those two heights, then compute the difference, and the difference will be equal to the height of the aerial.

In both cases we want to calculate the opposite cathetus, then we should use the relation:

Tan(θ) = (Op. cath)/(Adj. cath)

The height without the aerial is h1, let's find it:

Tan(58°) = h1/100m

Tan(58°)*100m = h1 = 160m.

The height with the aerial is h2, let's find it:

Tan(63°) = h2/100m

Tan(63°)*100m = h2 = 196.3m

Then the height of the aerial will be:

h2 - h1 = 196.3m - 160m = 36.3m

6 0

3 years ago