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3 years ago

10

Plot the vertices (–2, –8), (–2, 2), and (8, 2). What is the last vertex of the rectangle? What is the area of the rectangle? sq

uare units

2 answers:

Wewaii [24]3 years ago

5 0

Answer:

the last vertex is (8,-8)

the area of the rectangle is 100 square units

Step-by-step explanation:

balu736 [363]3 years ago

4 0

Answer:

8 -8

Step-by-step explanation:

100

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show that thw roots of the equation (x-a)(x_b)=k^2 are always real if a,b and k are real. Please I really need help with this

VLD [36.1K]

Answer:

see explanation

Step-by-step explanation:

Check the value of the discriminant

Δ = b² - 4ac

• If b² - 4ac > 0 then roots are real

• If b² - 4ac = 0 roots are real and equal

• If b² - 4ac < 0 then roots are not real

given (x - a)(x - b) = k² ( expand factors )

x² - bx - ax - k² = 0 ( in standard form )

x² + x(- a - b) - k² = 0

with a = 1, b = (- a - b), c = -k²

b² - 4ac = (- a - b)² + 4k²

For a, b, k ∈ R then (- a - b)² ≥ 0 and 4k² ≥ 0

Hence roots of the equation are always real for a, b, k ∈ R

8 0

3 years ago

Mario has 1,000 dollars. He gives 100 dollars to his friend. He gave __________ of his money to his friend.

Katen [24]

Answer:

1/10

Step-by-step explanation:

1/10 is the answer bc he gave his friend 100/1000 simplified form 1/10

8 0

2 years ago

Julia examines the two triangles below and determines that .

baherus [9]

IN Δ MLN:

∠M = 18.3 , ∠L = 98.6 AND ∠N = 180 - (∠M + ∠L) = 180 - (18.3 + 98.6 ) = 63.1

IN Δ FGH:

∠F = 98.6 , ∠G = 61.1 AND ∠H = 180 - (∠F + ∠G ) = 180 - (98.6 + 61.1 ) = 20.3

∴ ONLY ∠N = ∠F = 98.6

There is no other <span>congruent </span>angles

So, The correct statement is :

Inaccurate. The triangles are not similar because angle M is not congruent to angle H, and angle N is not congruent to angle G.

8 0

3 years ago

Read 2 more answers

Please help me anyone

kotykmax [81]

Answer:

Quelles caractéristiques ces mots ont-ils en commun ? Cliquez sur tout ce qui s'applique.

<u><em></em></u> $\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right]$ <u><em></em></u>

Step-by-step explanation:

8 0

2 years ago

3. Three years ago, Jane was three times as old as Alice. In two years time, the sum of their ages will be 62. Determine their p

anzhelika [568]

3 yrs ago:

Alice - x
Jane - 3x

Fast forward 2 years... 1 year ago:

Sum of their ages = 62

Equation to solve: x + 3x = 62
4x = 62
----- -----
4 4

x = 15.5

From this, we can deterime that Alice is 15 1/2 years old.

Then, plug in 15.5 for x in 3x to find Jane's age.

15.5 × 3 = 46.5

From this, we can determine that Jane is 46 1/2 years old.

I hope this helps you to understand this problem better.

5 0

3 years ago

Read 2 more answers