3 years ago

HELP ME PLEASE THIS IS DUE TMR

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

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If c is a real number and if 1 + i is a solution of the equation x^2 -2x + c = 0, what is the value of c?

Nana76 [90]

Answer:

c = 2

Step-by-step explanation:

Substitute x = 1 + i into the equation

(1 + i)² - 2(1 + i) + c = 0 ← distribute left side

1 + 2i + i² - 2 - 2i + c = 0 ( note that i² = - 1 )

1 + 2i - 1 - 2 - 2i + c = 0 ← collect like terms on left

- 2 + c = 0 ( add 2 to both sides )

c = 2

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3 years ago

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Karin wants to use the distributive property to mentally find the value of 19⋅42+19⋅58. Which expression can she use?

devlian [24]

Answer:

$19( 42+ 58)$

Step-by-step explanation:

$19 \cdot 42+19 \cdot 58\\$

The common factor is 19

$19( 42+ 58)$

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3 years ago

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The diameter of a circle is 13 cm. What is the radius of the circle?

nikklg [1K]

Answer:

The Radius is 6.5 cm.

Step-by-step explanation:

We know that the diameter of a circle is a line that begins on one point of a circle and ends on the opposite side. We also know that the radius is a point on the circle that starts from that point and ends at the center. Therefore, the radius would be half the diameter.

$13/2 = 6.5$