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eimsori [14]
3 years ago
6

PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
daser333 [38]3 years ago
5 0
The answer to the question is C
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HELP ME
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<em>Trapezoid ABCD ​ was reflected across the y-axis and then translated 7 units up.</em>

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Find the area of the right triangle △DEF with the points D (0, 0), E (1, 1), and F.
Tems11 [23]

Answer:

The area of the triangle is  \sqrt{3}

Step-by-step explanation:

Given:

Coordinates D (0, 0), E (1, 1)

Angle  ∠DEF = 60°

△DEF is a Right triangle

To Find:

The area of the triangle

Solution:

The area of the triangle is  = \frac{1}{2}(base \times height)

Here the base is Distance between D and E

calculation the distance using the distance formula, we get

DE  = \sqrt{(0-1)^2 + (0-1)^2}

DE =\sqrt{(-1) ^2 + (-1)^2

DE = \sqrt{1+1}

DE = \sqrt{2}

Base = \sqrt{2}

Height is DF

DF =tan(60^{\circ}) \times DE

DF = \sqrt{3} \times DE

DF = \sqrt{3} \times\sqrt{2}

Now, the area of the triangle is

= \frac{1}{2}({\sqrt{2})(\sqrt{3} \times \sqrt{2})

=\frac{1}{2}({\sqrt{2})(\sqrt{3} \sqrt{2})

=\frac{1}{2}(2\sqrt{3} )

=\sqrt{3}

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3 years ago
PLS HELP ILL MARK BRAINLIEST 5.)A farmer sells carrots and cucumbers together in a basket. The ratio of carrots to cucumbers is
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Step-by-step explanation:

I HOPE I HELPED!

if I did maybe I could get brainlist? :)

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Answer:

Step-by-step explanation:

P = x^2 + 6

(x^2+6)^2 - 21 = 4x^2 + 24\\(x^2+6)^2 - 4x^2 - 45 = 0

Solving for 4x^2:

P = x^2 +6

P - 6 = x^2

4(P - 6) = 4x^2

Substitution:

p^2 - 4p - 24 - 45 = 0\\p^2 -4p - 69 = 0

4 0
3 years ago
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