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Vladimir79 [104]
3 years ago
5

Question Progress

Mathematics
1 answer:
Alik [6]3 years ago
4 0

Answer:

60 ; - 40 ; 22 ; - 11

Step-by-step explanation:

Given that:

Number of questions = 20

Rules :

Every correct answer scores 3 points.

Each incorrect answer loses 2 points.

A question not answered scores 0 points.

It is possible to finish the quiz with a negative score.

a)

Maximum score : answering all questions correctly :

(3 points * 20 questions)

= 3 * 20

= 60 points

b)

Minimum score is obtainable by answering all questions incorrectly ;

(-2 points * 20)

= - 40 points

c)

10 correct answers = (3 * 10) = 30 points

(14 - 10) = 4 incorrect answers = (-2 * 4) = - 8 points

Net total = 30 + (-8) = 30 - 8 = 22 points

d) Another student answers 18 questions,

5 are correct. How many points does she score?

5 correct answers = (5 * 3) = 15 points

(18 - 5) incorrect answers = (13 * - 2) = - 26 points

Net total = 15 + (-26) = - 11 points

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k= 5

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Step-by-step explanation:

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The vertex of a parabola is (0,0)and the focus is (1/8, 0) . What is the equation of the parabola?
Aleonysh [2.5K]

The equation of a parabola whose vertex is (0, 0) and focus is (1 / 8, 0) is equal to x = 2 · y².

<h3>How to derive the equation of the parabola from the locations of the vertex and focus</h3>

Herein we have the case of a parabola whose axis of symmetry is parallel to the x-axis. The <em>standard</em> form of the equation of this parabola is shown below:

(x - h) = [1 / (4 · p)] · (y - k)²     (1)

Where:

  • (h, k) - Coordinates of the vertex.
  • p - Distance from the vertex to the focus.

The distance from the vertex to the focus is 1 / 8. If we know that the location of the vertex is (0, 0), then the <em>standard</em> form of the equation of the parabola is:

x = 2 · y²     (1)

The equation of a parabola whose vertex is (0, 0) and focus is (1 / 8, 0) is equal to x = 2 · y².

To learn more on parabolae: brainly.com/question/4074088

#SPJ1

5 0
2 years ago
AB is congruent to DE because segment DE was constructed so that DE = AB. BC is congruent to EF because segment EF was construct
Alex Ar [27]

DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.

<h3>Congruent shape</h3>

Two shapes are said to be congruent if they have the same shape, all their corresponding angles and sides are congruent to one another.

Given that DE = AB and BC = EF.

In right triangle DEF, using Pythagoras:

DF² = DE² + EF²

Also, In right triangle ABC, using Pythagoras:

AC² = AB² + BC²

But DE = AB and EF = BC, hence:

AC² = DE² + EF²

AC² = DF²

Taking square root of both sides, hence:

AC = DF

Since DE = AB, EF = BC and AC = DF, hence triangle ABC is congruent to triangle DEF.

Find out more on Congruent shape at: brainly.com/question/11329400

6 0
3 years ago
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