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JulijaS [17]
3 years ago
8

Connor is constructing parallelogram ABCD. He has plotted A at (−2, 4), B at (0, 3), and D at (−3, 2). Which coordinate could be

the location of point C?
C (0, 0)
C (0, 1)
C (−1, 1)
C (−1, 2)
Mathematics
1 answer:
bezimeni [28]3 years ago
5 0

Answer:

C (-1, 1)

Step-by-step explanation:

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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
Why do some quadratic graphs move left or right and others do not? Is there a correlation between this and them moving up and do
Vikentia [17]

Answer:

(x + 3)^2 is left 3 because it becames 0 at -3

(x - 3)^2 is right 3  because it becames 0 at 3

x^2 +3 is up 3  because your just adding 3 units up

x^2 - 3 is down 3 because your just subtracting 3 units down

Step-by-step explanation:

8 0
3 years ago
100 points to correct answer!!!
Korvikt [17]

Answer:

but u have only provided 5 pts first give 100 pts and I will help u.

7 0
3 years ago
A 10 2/3 inch long pipe is cut into 8 equal length pieces.how long is each piece?
quester [9]
The answer is 1.33333333
Rounded off to 1.34
3 0
3 years ago
Read 2 more answers
Which is the best approximation of the solutions to the system of equations graphed below?
Neko [114]

According to the direct inspection, we conclude that the best approximation of the two solutions to the system of <em>quadratic</em> equations are (x₁, y₁) = (- 1, 0) and (x₂, y₂) = (1, 2.5). (Correct choice: C)

<h3>What is the solution of a nonlinear system formed by two quadratic equations?</h3>

Herein we have two parabolae, that is, polynomials of the form a · x² + b · x + c, that pass through each other twice according to the image attached to this question. We need to estimate the location of the points by visual inspection on the <em>Cartesian</em> plane.

According to the direct inspection, we conclude that the best approximation of the two solutions, that is, the point where the two parabolae intercepts each other, to the system of two <em>quadratic</em> equations are (x₁, y₁) = (- 1, 0) and (x₂, y₂) = (1, 2.5). (Correct choice: C)

To learn more on quadratic equations: brainly.com/question/17177510

#SPJ1

4 0
2 years ago
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