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borishaifa [10]
3 years ago
9

PLEASE HELP BRAINLIEST ANSWER GIVEN

Mathematics
2 answers:
BigorU [14]3 years ago
8 0

Answer:

3x + 3

Step-by-step explanation:

First = x

Second = x + 1

Third = x + 2

3x + 3

VLD [36.1K]3 years ago
8 0

Answer:

2x+3

Step-by-step explanation:

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Vitek1552 [10]
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3 years ago
Maggie graphed the image of a 90 counterclockwise rotation about vertex A of . Coordinates B and C of are (2, 6) and (4, 3) and
Lemur [1.5K]

Answer:

A(2,2)

Step-by-step explanation:

Let the vertex A has coordinates (x_A,y_A)

Vectors AB and AB' are perpendicular, then

\overrightarrow {AB}=(2-x_A,6-y_A)\\ \\\overrightarrow {AB'}=(-2-x_A,2-y_A)\\ \\\overrightarrow {AB}\perp\overrightarrow {AB'}\Rightarrow \overrightarrow {AB}\cdot \overrightarrow {AB'}=0\Rightarrow (2-x_A)(-2-x_A)+(6-y_A)(2-y_A)=0

Vectors AC and AC' are perpendicular, then

\overrightarrow {AC}=(4-x_A,3-y_A)\\ \\\overrightarrow {AC'}=(1-x_A,4-y_A)\\ \\\overrightarrow {AC}\perp\overrightarrow {AC'}\Rightarrow \overrightarrow {AC}\cdot \overrightarrow {AC'}=0\Rightarrow (4-x_A)(1-x_A)+(3-y_A)(4-y_A)=0

Now, solve the system of two equations:

\left\{\begin{array}{l}(2-x_A)(-2-x_A)+(6-y_A)(2-y_A)=0\\ \\(4-x_A)(1-x_A)+(3-y_A)(4-y_A)=0\end{array}\right.\\ \\\left\{\begin{array}{l}-4-2x_A+2x_A+x_A^2+12-6y_A-2y_A+y^2_A=0\\ \\4-4x_A-x_A+x_A^2+12-3y_A-4y_A+y_A^2=0\end{array}\right.\\ \\\left\{\begin{array}{l}x_A^2+y_A^2-8y_A+8=0\\ \\x_A^2+y_A^2-5x_A-7y_A+16=0\end{array}\right.

Subtract these two equations:

5x_A-y_A-8=0\Rightarrow y_A=5x_A-8

Substitute it into the first equation:

x_A^2+(5x_A-8)^2-8(5x_A-8)+8=0\\ \\x_A^2+25x_A^2-80x_A+64-40x_A+64+8=0\\ \\26x_A^2-120x_A+136=0\\ \\13x_A^2-60x_A+68=0\\ \\D=(-60)^2-4\cdot 13\cdot 68=3600-3536=64\\ \\x_{A_{1,2}}=\dfrac{60\pm8}{2\cdot 13}=\dfrac{34}{13},2

Then

y_{A_{1,2}}=5\cdot \dfrac{34}{13}-8 \text{ or } 5\cdot 2-8\\ \\=\dfrac{66}{13}\text{ or } 2

Rotation by 90° counterclockwise about A(2,2) gives image points B' and C' (see attached diagram)

8 0
3 years ago
At the beginning of a basketball season, the panthers won 40 games out of 100 games. At this rate, how many games will they win
denis23 [38]

At the rate of winning, they should win 44 games in  normal 110-game season.

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egoroff_w [7]

Answer:

The last graph best represents the story

Step-by-step explanation:

Mary left for school from rest. So the initial speed is zero.

So we start from the origin and draw a straight line with a positive slope to running, that is as time increases , distance covered also increases.

When she is resting, her speed is zero so we draw a horizontal line to indicate this second phase of her journey.

After resting she still continued her journey to school.

This part also has a positive slope.

8 0
2 years ago
What is the slope of a line that passes through (2, 77) and (98, 5)
blagie [28]

Answer:

Step-by-step explanation:

slope = (5-77)/(98-2) = -72/96 = -¾

4 0
3 years ago
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