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3 years ago

Type the correct answer in the Box use numerals instead of words if necessary use / for the fraction bar find the missing term

2 answers:

8 0

The roots of the given equation are 5 + 3i, 5 - 3i.

This means the two factors of the given polynomial are x - (5+3i) and x - (5 - 3i). The product of the factors must result in the original expression. So, we can write:

x² - (answer) + 34 = (x - 5 -3i)(x - 5 + 3i) (Equation 1)

Simplifying the right hand side:

$(x - 5 -3i)(x - 5 + 3i) \\ \\ = x^{2} -5x+3xi-5x+25-15i-3xi+15i-9i^{2} \\ \\ = x^{2} -10x+25-9i^{2} \\ \\ = x^{2} -10x+25-9(-1) \\ \\ = x^{2} -10x+25+9 \\ \\ = x^{2} -10x+34$

Thus, we can write the Equation 1 as:

x² - (answer) + 34 = x² - 10x + 34

Comparing the two sides, we can conclude that the answer to this question is 10x.

Dvinal [7]3 years ago

6 0

Answer:

Type the correct answer in the box. Use numerals instead of words.

Find the area of this shape.

The area of the shape is

square centimeters.

Step-by-step explanation:

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1. The coordinates of Jo’s house are (-4,-2).

2. Kianna walks 8 blocks west, and 2 blocks south.

3. The coordinates of Elena’s house are (4,-2).

4. Kianna is incorrect.

Step-by-step explanation:

1. Since Jo’s house is reflected across both axes, we must reflect the coordinates two times. So we can reflect the coordinates of Kianna’s house across the x-axis first, which would give you the coordinates (4,-2). Then we reflect (4,-2) across the y axis, giving us the coordinates (-4,-2). So Jo’s house has the coordinates (-4,-2).

3. Since Elena’s house is only a reflection of Jo’s house across the x-axis only, we can reflect Kianna’s house’s coordinates (4,2). When we reflect (4.2) over the x-axis, that gives us the coordinates (4,-2). So therefore Elena’s house has the coordinates (4,-2).

4. Kianna is incorrect, if Elena’s house was a reflection of her house across the y-axis, the coordinates would be (-4,2).

(A reflection can be thought of as folding or "flipping" an object over the line of reflection. The original object is called the pre-image, and the reflection is called the image.)

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