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Romashka [77]
4 years ago
6

Give an example of a quadratic with complex roots. Explain how you know it has complex roots.

Mathematics
1 answer:
Vladimir [108]4 years ago
5 0
2x^2 + x + 3=0 has only complex roots.

The determinant is 1-4*2*3 = -23

-23 (or any determinant) is the part under the square root sign,  If that determinant is negative, knowing you cannot take the square root of a negative number, we know the answers must be complex.
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Which number line is partitioned correctly to show 10 X 14?​
vodka [1.7K]

Answer:

Where is the number line?

Step-by-step explanation:

If there was a number line, the dot shoulb start at 14, then 28, ETC. (until 140)

3 0
3 years ago
Please help me with this geometry question and show work
soldi70 [24.7K]

(3) 8

Step-by-step explanation:

Note that ∆ADE is similar to ∆ABC. As such, the ratios of their legs are equal. Also note that AD = AB + BD.

BC/AB = DE/AD

BC/10 = 12/(10 + 5) = 12/15 = 4/5

or

BC = 10(4/5) = 8

8 0
3 years ago
A flagpole casts a 32-foot shadow at the same time that Evan casts a 9-foot shadow. If Evan is 6 feet tall, how tall is the flag
Grace [21]

Answer:

48

Step-by-step explanation:

by dividing 9 by 6 you get 1.5 and by using distribution you also multiply 32 by 1.5 to get 48

3 0
3 years ago
What is the slant height of a square pyramid with the height of 10cm and base edge 20cm
Klio2033 [76]
Hello!

To find the base length you use the Pythagorean Theorem

a^{2} + b^{2} = c^{2}

c is the slant height
a is half the base length
b is the height

Put in the values you know

10^{2} + 10^{2} = c^{2}

Square the numbers

100 + 100 =  c^{2}

Add

200 =  c^{2}

Take the square root of both sides

c =  \sqrt{200}

Simplify

c = 10 \sqrt{2}

Hope this helps!
6 0
4 years ago
What is the slope of the line whose equation has the following solutions? (-1.25,-18,5)(0.25,-30)
labwork [276]

Answer:

m=\frac{-23}{3}

m=-7.6666666667

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-1.25, -18.5)

Point (0.25, -30)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                    m=\frac{-30+18.5}{0.25+1.25}
  2. Add:                              m=\frac{-11.5}{1.5}
  3. Divide:                          m=\frac{-23}{3}
4 0
3 years ago
Read 2 more answers
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