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gogolik [260]
3 years ago
13

F(x) = -16x2- 4x+ 382 find x

Mathematics
1 answer:
Vika [28.1K]3 years ago
4 0

Answer:

calculator that what I got 56

Step-by-step explanation:

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Given: KLMN is a trapezoid m∠N = m∠KML
horrorfan [7]

Answer:

The length of sides KM, LM and KN are \sqrt{109}, \frac{48}{5} and 16 respectively. The area of KLMN is \frac{192\sqrt{5}}{5} square unit.

Step-by-step explanation:

According to given information:  KLMN is a trapezoid, ∠N= ∠KML, \frac{LM}{KN}=\frac{3}{5}, ME ⊥ KN, KE=8 ME=3\sqrt{5}.

Use pythagoras theorem is triangle EKM

Hypotenuse^2=base^2+perpendicular^2

(KM)^2=(KE)^2+(ME)^2

(KM)^2=(8)^2+(3\sqrt{5})^2

KM^2=64+9(5)

KM=\sqrt{109}

Let angle N and angle KML be θ.

Since angle KML and angle MKE are alternate interior angles, therefore angle MKE is θ.

In triangle KME,

\tan\theta=\frac{3\sqrt{5} }{8}     .... (1)

In triangle KNE,

\tan\theta=\frac{3\sqrt{5} }{EN} .... (2)

Equate (1) and (2),

\frac{3\sqrt{5} }{8}=\frac{3\sqrt{5} }{EN}

EN=8

The length of side KN is

KN=KE+EN=8+8=16

Sides LM:KN are in the ratio 3:5. Let the side lengths are 3x and 5x respectively.

5x=16

x=\frac{16}{5}

3x=3\times \frac{16}{5}=\frac{48}{5}

The area of KLMN is

Area=\frac{1}{2}(b_1+b_2)h

A=\frac{1}{2}\times (LM+KN)\times ME

A=\frac{1}{2}\times (\frac{48}{5}+16)\times 3\sqrt{5}

A=\frac{192\sqrt{5}}{5}

Therefore length of sides KM, LM and KN are \sqrt{109}, \frac{48}{5} and 16 respectively. The area of KLMN is \frac{192\sqrt{5}}{5} square unit.

6 0
4 years ago
These two trapezoids are similar. What is the correct way to complete the similarity statement?
bogdanovich [222]
It is ABCD ~ GFHE because you have to list corresponding points when stating similarity
3 0
3 years ago
Simplify £2.50 : 60p
slavikrds [6]

Answer:

Here we will simplify 2/50 to its simplest form and convert it to a mixed number if necessary.

In the fraction 2/50, 2 is the numerator and 50 is the denominator.

When you ask "What is 2/50 simplified?", we assume you want to know how to simplify the numerator and denominator to their smallest values, while still keeping the same value of the fraction.

We do this by first finding the greatest common factor of 2 and 50, which is 2.

Then, we divide both 2 and 50 by the greatest common factor to get the following simplified fraction:

1/25

Therefore, this equation is true:

2/50 = 1/25

If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.

1/25 = Proper Fraction

Step-by-step explanation:

please mark brainliest

4 0
3 years ago
Please help! I will appreciate it
slava [35]

Answer:

yes. because the price is 3 times the number of pens

Step-by-step explanation:

2*3=6

4*3=12

5*3=15

8*3=24

6 0
3 years ago
Read 2 more answers
30° is used in a pie chart to represent 5 people. How many people were there altogether???
irina [24]

Answer:

60

Step-by-step explanation:

here are 360° used in a whole pie chart

Using proportion

30° → 5 people

360° → 5 × 360 / 30 = 5 × 12 = 60

There are 60 people altogether

4 0
3 years ago
Read 2 more answers
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