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2 years ago

11

Find the vertex of the parabola given by y=2x^2-4x-1

1 answer:

Murrr4er [49]2 years ago

3 0

Given the quadratic y = 2x^2-4x-1, I identify A = 2, B= -4 and C = -1. The axis of symmety: x = -b/2a --> 4/2(2) = 4/4 = 1. Therefore, the x-coordinate of the vertex is 1. To find the y-coordinate, I plug in 1 for x into the quadratic. Hence, y = 2(1)^2-4(1)-1 ---> -3. The coordinates of the vertex are (1,-3).

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Brenda earns $1,700 per month after taxes. She is working on her budget and has the first three categories finished.

3241004551 [841]

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2 years ago

Read 2 more answers

Point P is the center of the circle below. What is the exact area

igor_vitrenko [27]

Answer:

$Area =192\pi$

Step-by-step explanation:

Given

$\theta = 120^o$

$r =24$

Required

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This is calculated as:

$Area =\frac{\theta}{360} * \pi r^2$

This gives

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6 0

2 years ago

Algebra work need help<br> please show working

Nastasia [14]

Expand the left side:

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Then a = 15 and b = 13, so a - b = 2.

8 0

2 years ago

If 2x+20 and 3x+20 makes a straight angke find value of x

erma4kov [3.2K]

Answer:

x = 28

Step-by-step explanation:

The sum of the angles in a straight angle = 180°

Sum the angles and equate to 180

2x + 20 + 3x + 20 = 180

5x + 40 = 180 ( subtract 40 from both sides )

5x = 140 ( divide both sides by 5 )

x = 28

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3 years ago

In ΔSTU, the measure of ∠U=90°, ST = 9.7 feet, and US = 4 feet. Find the measure of ∠T to the nearest degree.

BaLLatris [955]

Answer:

Around 24 degrees

Step-by-step explanation:

*Make sure calculator is on degree mode*

Try to draw out triangle--it helps

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$\frac{sin\alpha }{4} = \frac{sin90}{9.7}$

Multiply 4 and sin90 and then divide the product by 9.7

Use $sin^{-1}$ on calculator to convert the answer into degrees

5 0

3 years ago