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1 year ago

Which is the best approximation of the solutions to the system of equations graphed below?

Mathematics

1 answer:

Neko [114]1 year ago

4 0

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

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I need help with this as soon as possible!

Kay [80]

Answer:

1. -3/6 is negative, because it descends by 3 and goes over by 6.

2. My first answer literally gives the keyword negative, therefore it's a negative line because it has a <em>negative slope</em>.

1. -8/0 is undefined, because there is a rise but there is no run, which also means that it's a:

2. vertical line

1. -5/-10 simplifies to 5/10 or 1/2, which is positive because it rises by 5(or 1) and runs over by 10(or 2).

2. Thus, this means that it's a positive line since it has a <em>positive slope</em>.

1. 0/-2 is zero, because when you actually solve the equation it'll equal 0.

2. This means that it'll have a horizontal line since there is no rise but there is a run only.

8 0

2 years ago

The radius of a cylindrical water tank is 4.5 ft, and its height is 8 ft. What is the volume of the tank?

Brums [2.3K]

The answer is 509 ft^3

Formula:
V = πr^2h
V = 3.14 * 4.5^2 * 8
V = 3.14 * 20.25 * 8
V = 508.68 ft^3

508.68 rounded to the nearest whole number is 509

So the volume of the cylinder is 509 ft^3

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3 years ago

Are this two triangles similar?

Alex73 [517]

<h3>Answer: </h3><h3>Yes, the triangles are similar</h3><h3>AC = 6</h3>

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

Explanation:

Focus on triangle ABC. Let's find the missing angle

A+B+C = 180

113+B+22 = 180

B+135 = 180

B = 180-135

B = 45

Between the triangles, have two pairs of angles that are congruent

A = D = 113

B = E = 45

Which is enough to prove the triangles are similar through the angle angle (AA) similarity theorem. This must mean that C = F = 22

Since we have A pair with D, and B pair with E, this means that $\triangle ABC \sim \triangle DE F$

The order of the letters is important so we know how the angles pair up. The first letters pair up together, the second letters pair up, and so on.

Consequently, this means sides BC and EF pair up and AC and DF pair up

We can then say...

BC/EF = AC/DF

18/12 = x/4

18*4 = 12*x

72 = 12x

12x = 72

x = 72/12

x = 6

AC = 6

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3 years ago

Milo is volunteering at a food pantry. In the first hour, he packs 3 boxes every

garri49 [273]

14 boxes per hour
60/5=12
12*3=36
60/6=10
10*5=50
50-36=14

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3 years ago

What's the rule, and answer n

Alexxandr [17]

X-7 is the rule. n is 21

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3 years ago