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Ierofanga [76]
3 years ago
9

What is the value of (7 +21)(3 - i)?

Mathematics
1 answer:
omeli [17]3 years ago
8 0
(7+21)=28

28(3-I)=

28•3 =84

28•I=28i

28/84=3,5

3,5=I
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Suppose a and b are the solutions to the quadratic equation 2x^2-3x-6=0. Find the value of (a+2)(b+2).
KonstantinChe [14]

Answer:

(a+2)(b+2) = 4

Step-by-step explanation:

We are given the following quadratic equation:

2x^2-3x-6=0

Let a a and b be the solution of the given quadratic equation.

Solving the equation:

2x^2-3x-6=0\\\text{Using the quadratic formula}\\\\x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{Comparing the equation to }ax^2 + bx + c = 0\\\text{We have}\\a = 2\\b = -3\\c = -6\\x = \dfrac{3\pm \sqrt{9-4(2)(-6)}}{4} = \dfrac{3\pm \sqrt{57}}{4}\\\\a = \dfrac{3+\sqrt{57}}{4}, b = \dfrac{3-\sqrt{57}}{4}

We have to find the value of (a+2)(b+2).

Putting the values:

(a+2)(b+2)\\\\=\bigg(\dfrac{3+\sqrt{57}}{4}+2\bigg)\bigg(\dfrac{3-\sqrt{57}}{4}+2\bigg)\\\\=\bigg(\dfrac{11+\sqrt{57}}{4}\bigg)\bigg(\dfrac{11-\sqrt{57}}{4}\bigg)\\\\=\dfrac{121-57}{156} = \dfrac{64}{16} = 4

3 0
3 years ago
What is the volume if this rectangular prism: 5/2 cm by 3/4 cm by 1/3 cm
aleksley [76]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
Please Help!
vovikov84 [41]

Answer:

8

Step-by-step explanation:

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Simplifying:

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A) The equations are shown on the attached graph.
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C) The solution is shown on the attached graph.

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As a bonus, you get a graph for the other problem you posted. Please note this graph has some issues. Wherever there's a solid line ⌝ or ⌞ the actual shape of the graph should be the opposite one of these.

5 0
3 years ago
Pleaseee answer quick
FinnZ [79.3K]

Answer: m

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