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elena-14-01-66 [18.8K]
2 years ago
7

Solve this equation using the quadratic formula (preferably): 3x^2 - 4x + 6 = 0

Mathematics
1 answer:
Readme [11.4K]2 years ago
5 0

Answer:

x = 2/3 ± i√14/3

Step-by-step explanation:

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What is the equation in vertex form of a parabola with vertex (-2, -2) that opens downward and is stretched by a factor of 5?
Galina-37 [17]

Answer:

D).  -5(x + 2)^2 - 2.

Step-by-step explanation:

Parabola which Opens down and vertex (-2, -2) is :

f(x) = a(x + 2)^2 - 2 where a is negative

Stretch by factor 5 gives:

-5(x + 2)^2 - 2.

5 0
2 years ago
Find the value of x AND the value of each angle.
guapka [62]

Answer:

x=63

x+15=78

Step-by-step explanation:

180-102=78

78-15=63

x=63

x+15=78

5 0
2 years ago
A hat is marked down 45% and its new price is $69. What was the original price rounded to the nearest cent?
Alex Ar [27]

Answer:

$106.95

Step-by-step explanation:

45% = 0.45

1.00 - 0.45 = 0.55

$69 x 0.55 = 37.95

$69 + 37.95 = $106.95

7 0
3 years ago
Determine the area of a triangle having the following measurements. Round your answer to two decimal places.
Svetllana [295]
Area of a triangle= 1/2 (ab) (sin C) 
                           = 1/2 (9 x 11.5) (sin 63.4) 
                           = 46.27
3 0
3 years ago
A surveyor standing on top of a cliff found that the angle of depression of a boat as sea is 22°. if the top of the cliff is 15m
Alex73 [517]

Answer:

From the photo above i interpreted the question and drew a triangle to make it easier to solve

Tan is used to solve the question as we were given opposite (as height of the cliff) and to find Adjacent ( the distance between the foot of the cliff to the boat)

Tan θ =Opp/Adj

Tan 22°=15/a

Cross Multiply

aTanθ=15°

Divide both sides by Tan 22

aTan22/Tan22 = 15/Tan 22

a = 15/Tan 22°

a = 37.13 m

Therefore the distance between the foot of the cliff to the boat is 37.13 metres

5 0
2 years ago
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