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3 years ago

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Which of the following is a solution to the inequality y < –2x + 3?

1 answer:

podryga [215]3 years ago

7 0

To evaluate if (2,2) is a solution to the inequality y < 2x + 3, simply plug y=2 into the left hand side of the inequality and x=2 into the right hand side of the inequality and see if the y is less than 2x + 3. If it is, then (2,2) is a solution. If it isn't, then (2,2) is not a solution

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Ivan used coordinate geometry to prove that quadrilateral EFGH is a square.

Gelneren [198K]

Answer:

(A)Segment EF, segment FG, segment GH, and segment EH are congruent

Step-by-step explanation:

<u>Step 1</u>

Quadrilateral EFGH with points E(-2,3), F(1,6), G(4,3), H(1,0)

<u>Step 2</u>

Using the distance formula

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Given E(-2,3), F(1,6)

$|EF|=\sqrt{(6-3)^2+(1-(-2))^2}=\sqrt{3^2+3^2}=\sqrt{18}=3\sqrt{2}$

Given F(1,6), G(4,3)

$|FG|=\sqrt{(3-6)^2+(4-1)^2}=\sqrt{3^2+3^2}=\sqrt{18}=3\sqrt{2}$

Given G(4,3), H(1,0)

$|GH|=\sqrt{(0-3)^2+(1-4)^2}=\sqrt{(-3)^2+(-3)^2}=\sqrt{18}=3\sqrt{2}$

Given E (−2, 3), H (1, 0)

$|EH|=\sqrt{(0-3)^2+(1-(-2))^2}=\sqrt{(-3)^2+(3)^2}=\sqrt{18}=3\sqrt{2}$

<u>Step 3</u>

Segment EF ,E (−2, 3), F (1, 6)

Slope of |EF|= $\frac{6-3}{1+2} =\frac{3}{3}=1$

Segment GH, G (4, 3), H (1, 0)

Slope of |GH| $= \frac{0-3}{1-4} =\frac{-3}{-3}=1$

<u>Step 4</u>

Segment EH, E(−2, 3), H (1, 0)

Slope of |EH| $= \frac{0-3}{1+2} =\frac{-3}{3}=-1$

Segment FG, F (1, 6,) G (4, 3)

Slope of |EH| $=\frac{3-6}{4-1} =\frac{-3}{3}=-1$

<u>Step 5</u>

Segment EF and segment GH are perpendicular to segment FG.

The slope of segment EF and segment GH is 1. The slope of segment FG is −1.

<u>Step 6</u>

<u>Segment EF, segment FG, segment GH, and segment EH are congruent. </u>

The slope of segment FG and segment EH is −1. The slope of segment GH is 1.

<u>Step 7</u>

All sides are congruent, opposite sides are parallel, and adjacent sides are perpendicular. Quadrilateral EFGH is a square

4 0

3 years ago

Read 2 more answers

What is 64×34+8-3? Solve.

borishaifa [10]

The answer is 2,181 because 64x34=2176+8=2184-3=2181

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4 years ago

Brad and Wes are building a tree house.They cut a 12 1/2 foot piece of wood into 5 equally sized pieces.How long is each piece o

inessss [21]

Answer=C 2 1/2

(12 1/2)÷5=2 1/2

or

12.5/5=2.5=2 1/2

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3 years ago

A rectangle has an area of 24 square units and a side length of 2 3/4 units. Find the other side length of the rectangle

Studentka2010 [4]

Length is 12, Width 2, and Area is 24

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4 years ago

2(3 + x) = 6 + 2x cual es la propiedad ?

ArbitrLikvidat [17]

Answer: Distributivo

Step-by-step explanation:

2*3 = 6

2 * x = 2x

Therefore:

2(3+x) = 6 + 2x

6 0

3 years ago

Read 2 more answers