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Fiesta28 [93]
3 years ago
15

Matteo is adjusting a satellite because he finds it is not focusing the incoming radio waves perfectly. The shape of his satelli

te can be modeled by y^2=6x where x and y are modeled in inches. He realizes that the static is a result of the feed antenna shifting slightly off the focus point. What is the focus point of the satellite? (–1.5, 0) (0, –1.5) (0, 1.5) (1.5, 0)
Mathematics
2 answers:
OleMash [197]3 years ago
8 0

Answer:

Answer: (1.5, 0)

Step-by-step explanation:

natka813 [3]3 years ago
4 0

Answer: (1.5, 0)

Step-by-step explanation:

Given : The shape of his satellite can be modeled by y^2=6x where x and y are modeled in inches.

Now,the given equation y^2=6x is a equation of parabola.

Here, coefficient of x is positive, hence the parabola opens rightwards.

On comparing this equation with standard equation x^2=4mx, we get

4m=6\\\Rightarrow\ m=\frac{6}{4}=1.5

In standard equation, coordinates of focus=(m,0)

Thus for given equation coordinates of focus=(1.5,0)

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I need some helppp people
dsp73

We can observe that the function describing the graph is linear and so the equation is of linear nature:

y=mx+n

Numbers m and n have special names. m is called the slope, n is called y-intercept.

From the graph one can tell that the line intercepts y-axis at y = -1 that means n = -1. What about the slope you say?

The slope can be calculated using two points' coordinates that lie on the line:

m=\frac{\Delta y}{\Delta x}=\frac{-1-5}{0-5}=\frac{6}{5}

Now our line has an equation,

y=\frac{6}{5}x-1

Hope this helps.

4 0
2 years ago
Read 2 more answers
Solve. 9(4h - 6) = 2( -13 - 2h)
Afina-wow [57]

Answer: h= 7/10

Step-by-step explanation:

9(4h - 6 ) = 2(-13 - 2h)       Distribute on both sides

9(4h) + 9(-6) = 2(-13) + 2(-2h)

36h - 54 = -26 - 4h       Add 4h to both sides

+4h                   +4h

40h - 54 = -26      Add 54 to both sides

      +54     +54

40h = 28     Divide both sides by 40

h = 7/10

6 0
3 years ago
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Rena wrote all the integers from 1 to 12. <br><br> How many numbers did she write?
Aleksandr [31]

Answer:

15

integers from 1 to 9 have only one number each, so in total 9 numbers. integers from 10 to 12 have 2 numbers each, 3*2=6. 9+6=15

7 0
3 years ago
Read 2 more answers
What is the solution to log 5 (x+30)= 3
Free_Kalibri [48]

Answer:

x = 95

Step-by-step explanation:

Using the rule of logarithms

• log_{b} x = n ⇔ x = b^{n}

Given

log_{5}(x + 30) = 3, then

x + 30 = 5³ = 125 ( subtract 30 from both sides )

x = 95

7 0
3 years ago
Please answer please please answer need the answer
Korvikt [17]
A = 1/2 bh
A = 1/2 (21)(8)
A = 1/2 (168)
A = 84
5 0
3 years ago
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