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Rufina [12.5K]
4 years ago
7

Polygons ABCD and A′B′C′D′ are shown on the coordinate grid: A coordinate plane is shown with two polygons represented. Polygon

ABCD has vertices A at 2 comma 2, B at 2 comma 4, C at 3 comma 5 and D at 3 comma 1. Polygon A prime B prime C prime D prime has vertices A at negative 1 comma negative 2, B at negative 1 comma negative 4, C at negative 2 comma negative 5, and D at negative 2 comma negative 1. What set of transformations is performed on ABCD to form A′B′C′D′? (4 points) A translation 1 unit to the left followed by a 180-degree counterclockwise rotation about the origin A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left A translation 1 unit to the right followed by a 180-degree counterclockwise rotation about the origin
Mathematics
1 answer:
harina [27]4 years ago
8 0

Answer:

A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right.

Step-by-step explanation:

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Zarrin [17]

Answer:

ray line line segment

Step-by-step explanation:

8 0
3 years ago
Could someone help me arrange these pairs of points in increasing order of the slopes of the lines joining them. (15, 30) and (2
Zina [86]

Answer:

(e) (27, 2) and (243, 18)

(g) (63, 9) and (84, 12)

(d) (45, 15) and (60, 20)

(c) (27, 12) and (72, 32)

(a) (15, 30) and (20, 40)

(b) (12, 32) and (18, 48)

(f) (18, 63) and (24, 84)

Step-by-step explanation:

Required

Arrange in increasing order of slope

Slope (m) is calculated using:

m = \frac{y_2 -y_1}{x_2 - x_1}

So, we have:

(a) (15, 30) and (20, 40)

m = \frac{40 -30}{20- 15}

m = \frac{10}{5}

m =2.00

(b) (12, 32) and (18, 48)

m = \frac{48 -32}{18- 12}

m = \frac{16}{6}

m = 2.67

(c) (27, 12) and (72, 32)

m = \frac{32-12}{72- 27}

m = \frac{20}{45}

m = 0.44

(d) (45, 15) and (60, 20)

m = \frac{20-15}{60- 45}

m = \frac{5}{15}

m = 0.33

(e) (27, 2) and (243, 18)

m = \frac{18-2}{243- 27}

m = \frac{16}{216}

m = 0.07

(f) (18, 63) and (24, 84)

m = \frac{84-63}{24- 18}

m = \frac{21}{6}

m = 3.50

(g) (63, 9) and (84, 12)

m = \frac{12 -9}{84- 63}

m = \frac{3}{21}

m = 0.14

From least to greatest slope, the pair of points are:

(e) (27, 2) and (243, 18)

(g) (63, 9) and (84, 12)

(d) (45, 15) and (60, 20)

(c) (27, 12) and (72, 32)

(a) (15, 30) and (20, 40)

(b) (12, 32) and (18, 48)

(f) (18, 63) and (24, 84)

6 0
3 years ago
Simplify expressions
charle [14.2K]
<h3>a) \frac{2}{5}  \div (  - \frac{3}{4} )</h3><h3>■Dividing a positive and a negative equals a negative: (+)÷(-)=(-)</h3>

<h2>-  \frac{2}{5}  \div  \frac{3}{4}</h2><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>

<h2>-  \frac{2}{5}  \times  \frac{4}{3}</h2><h3>■Multiply the fractions</h3>

<h2>-  \frac{8}{15}</h2>

<h3>Hence, Quotient =-  \frac{8}{15}</h3>

<h3>b) 0.4 \div  ( - 0.75)</h3><h3>■Convert the decimals into a fractions</h3>

<h2>\frac{2}{5}  \div ( -  \frac{3}{4} )</h2><h3>■Dividing a positive and a negative equals a negative: (+)÷(-)=(-)</h3>

<h2>-  \frac{2}{5}  \div  \frac{3}{4}</h2><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>

<h2>-  \frac{2}{5}  \times  \frac{4}{3}</h2><h3>■Multiply the fractions</h3>

<h2>-  \frac{8}{15}</h2><h3>Hence, Quotient is -  \frac{8}{15}</h3>

<h3>c)-  \frac{2}{5}  \div  \frac{3}{4}</h3><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>

<h2>-  \frac{2}{5}  \times  \frac{4}{3}</h2><h3>■Multiply the fractions</h3>

<h2>-  \frac{8}{15}</h2><h3>Hence, The Quotient is -  \frac{8}{15}</h3>
4 0
3 years ago
2 yards and 60 inches in ratio
arsen [322]

2yrds:60in    is the answer


8 0
3 years ago
Rewrite the following equation in slope-intercept form.
ahrayia [7]
Pretty Sure it’s y=x+(-.8) haven’t done algebra in a bit. Sorry if wrong. :/
8 0
3 years ago
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