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3 years ago

10(n^2+n) -6 (n^2 - 2). simplify the following

Mathematics

1 answer:

Setler [38]3 years ago

3 0

Answer:

4n^2 + 22n

Step-by-step explanation:

10(n^2+n) -6 (n^2 - 2)

10n^2 + 10n - 6n^2 + 12

4n^2 + 22n

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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:

Step 1

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

Step 2

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)

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

Step 3

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

Step 4

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

Step 5

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.

Step 6

Segment EF, segment FG, segment GH, and segment EH are congruent.

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

Step 7

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

At Dairy Land, 50% of the 32 ice cream flavors contain fruit. How many ice cream flavors contain fruit?

lesya692 [45]

Answer:

hmmm i think you need to dod

Step-by-step explanation:

yeah

8 0

2 years ago

Help me out please!!!!

DedPeter [7]

Answer:

Answer (e)

Step-by-step explanation:

Note that this graph has a zero at x = 1 and a vertical asymptote at x = -4. Only Answer (e) corresponds to that. Try letting x = 1. y is zero, correct? Try letting x = -4. y is undefined, correct?

7 0

3 years ago

a barge can safely haul no more than 400 tons across the river. the barge has an empty weight of 24 tons. the average weight of

Vaselesa [24]

Answer:

The barge can carry up to 94 railroad cars.

Step-by-step explanation:

Create an inequality to represent the weight of the barge to the max weight.

24 + 4r ≤ 400

Solve for r:

4r ≤ 400 - 24

4r ≤ 376

4r ≤ 376/4

r ≤ 94

6 0

3 years ago

Whats 87 + 72 tenths

Alchen [17]

Answer:

94.2

Step-by-step explanation:

google and simple addition

8 0

3 years ago

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