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laila [671]
3 years ago
5

What are the solution(s) of the quadratic equation 98 – x2 = 0?

Mathematics
1 answer:
kotykmax [81]3 years ago
5 0

Answer:

49

Step-by-step explanation:

98-x2=0

<u>-98    -98</u>

\frac{x2}{2}     \frac{98}{2}

    49

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Write the inequality:<br><br> Two less than twice a number is less than a half.
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Answer:

2x-2<1/2

Step-by-step explanation:

when the problem says "two less than" it means we are subtracting 2 from something, in this case, that something is "twice a number" as the problem states. So we would write 2x where x is a variable that represents any number so we have 2x-2<1/2.

3 0
2 years ago
Decide whether the numbers can represent the side lengths of a triangle. If they can, classify the triangle as right, acute, or
Irina18 [472]

Answer:

4) i) The numbers can represent the side lengths of a triangle

ii) Right triangle

5) i) The numbers can represent the side lengths of a triangle

ii) Isosceles triangle

6) i) The numbers can represent the lengths of the sides of a triangle

ii) Pythagoras theorem

7) The numbers do not represent the lengths of sides of a triangle

8) i) The numbers can represent the side lengths of a triangle

ii) Scalene triangle

Step-by-step explanation:

In a triangle, the sum of the lengths of the two shorter sides is longer than the length of the longest side

The given numbers are;

4) i) 15, 20, 25

Given that 15 + 20 < 25, the numbers can represent the side lengths of a triangle

ii) 15² + 20² = 25²

Therefore, the sides lengths are in line with the side length of a right triangle as their relation is given by Pythagoras theorem

The triangle is a right triangle

5) i) The given numbers are;

2, 6, 6

Given that 2 + 6 > 6, the numbers can represent the side lengths of a triangle

ii) Given that the lengths of two sides are equal (6 each), the triangle formed by the numbers is an isosceles triangle

6) i) 0.27, 0.36, 0.45

0.27 + 0.36 = 0.63 > 0.45, therefore, the numbers can represent the lengths of the sides of a triangle

ii) Given that 0.27² + 0.36² = 0.45², according to Pythagoras theorem, the type of triangle formed is a right triangle

7) 2.5, 1.5, 4

Given that 2.5 + 1.5 = 4, the numbers do not meet the criteria for forming triangles and therefore they cannot represent the side lengths of a triangle

8) i) 12,  16, 25

12 + 16 = 28 > 25, the numbers can represent the side lengths of a triangle

ii) 12² + 16² = 400 < 25² = 625, therefore, the triangle formed by the numbers is not a right triangle but a scalene triangle.

7 0
2 years ago
Which of the following functions is graphed below?
erastovalidia [21]

Could you please attach the graph itself because the question is not proper

3 0
3 years ago
PRE-CALC<br><br>Determine when 2x^3 + 3x^2 – 17x - 30 &lt; 0 using a sign chart.​
Oksi-84 [34.3K]

Step-by-step explanation:

Use the Rational Zero Theorem to list all possible rational zeros of the function.

Use synthetic division to evaluate a given possible zero by synthetically dividing the candidate into the polynomial. ...

Repeat step two using the quotient found with synthetic division. ...

Find the zeros of the quadratic function.

3 0
3 years ago
Please help meeeeeee<br><br>Find the value of x in the diagram. Explain how you found the answer.​
steposvetlana [31]

Answer:

x = 65

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

subtract the sum of the 2 given angles from 180° for third angle

third angle = 180° - (60 + 55)° = 180° - 115° = 65°

65° and x are vertical angles and are congruent, thus

x = 65

8 0
3 years ago
Read 2 more answers
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