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Nataly [62]
3 years ago
10

Find the X,Y intercepts

Mathematics
1 answer:
mamaluj [8]3 years ago
8 0

Answer:

(-3.5, 0)

Step-by-step explanation:

The x intercept is where the line touchs the x axis.

The y is 0.

So you end up with the coordinates of (-3.5, 0)

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Find the roots of h(t) = (139kt)^2 − 69t + 80
Sonbull [250]

Answer:

The positive value of k will result in exactly one real root is approximately 0.028.

Step-by-step explanation:

Let h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80, roots are those values of t so that h(t) = 0. That is:

19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0 (1)

Roots are determined analytically by the Quadratic Formula:

t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}

t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321}  }

The smaller root is t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321}  }, and the larger root is t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321}  }.

h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80 has one real root when \frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0. Then, we solve the discriminant for k:

\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}

k \approx \pm 0.028

The positive value of k will result in exactly one real root is approximately 0.028.

7 0
3 years ago
How many Japanese yen are equal to $100?
disa [49]
If you mean american dollars (which you most likely do) then it would be:
100 = 12285.
1000 = 122850.
10.000 = 1228.10
hope i helped
3 0
3 years ago
Read 2 more answers
What is the equation of a circle with the center (2,3) and radius 3
ruslelena [56]

Answer:

(x - 2)² + (y - 3)² = 9

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (2, 3) and r = 3, hence

(x - 2)² + (y - 3)² = 9 ← equation of circle

4 0
4 years ago
Given the line 2x - 3y - 5 = 0, find the slope of a line that is perpendicular to this line.
mojhsa [17]
The Slope of "<span>2x - 3y - 5 = 0" is:

m = 2/3.

Use the mx+y formula to solve this question.  

The correct answer is: B 

This is a verified answer.  </span>
3 0
3 years ago
Read 2 more answers
A lap around Natalie's neighbourhood is 20 kilometres. Natalie ran 2 laps before
Fynjy0 [20]
I would say about 40 kilometers it’s ifs 20 around her neighborhood that 20+20=40 and walking tha rest made the question easier but yea 40
8 0
3 years ago
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