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serg [7]
3 years ago
10

Find the vertex and focus of the parabola. x2 + 6x – 8y + 1 = 0

Mathematics
2 answers:
Mariana [72]3 years ago
7 0

Answer:

Focus. -3,1

Step-by-step explanation:

Serggg [28]3 years ago
7 0

Answer:

Step-by-step explanation:

Vertex: -3, -1

Focus: -3, 1

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Help me pls like srsly
frutty [35]

The time it will take the thermometer to hit the ground is 22 seconds

<h3>Calculating Time </h3>

From the question, we are to determine the how long it would take the thermometer to hit the ground

From the given information,

The equation for the height as a function of time is

h(t) = -16t² + initial height

From the given information,

The thermometer falls from a weather balloon at a height of 7744 ft

∴ Initial height = 7744 ft

When the thermometer hits the ground, h(t) = 0

Thus, we get

0 = -16t² + 7744

16t² = 7744

t² = 7744/16

t² = 484

t = √484

t = 22 seconds

Hence, the time it will take the thermometer to hit the ground is 22 seconds

Learn more on Calculating time here: brainly.com/question/17162388

#SPJ1

4 0
2 years ago
Determine the length of arc JL.
aleksandr82 [10.1K]

The length of arc JL is \frac{25}{18} \pi  So option c is correct.

<u>Solution:</u>

Given, from the diagram, radius of the given circle is 2 units.

And, the angle between the radius JK and KL is 125 degrees.

We have to find the length of the minor arc formed by JL

The length of arc is given as:

\text { Length of arc }=2 \pi r\left(\frac{\theta}{360}\right)

where \theta is angle between radii formed by points with centre

Now the length of arc JL is:

=2 \pi \times 2 \times \frac{125}{360}=4 \pi \times \frac{125}{360}=\pi \times \frac{125}{90}=\frac{25}{18} \pi

Hence, the length of are JL is \frac{25}{18} \pi so option c is correct.

6 0
3 years ago
Triangle JOY is translated using the rule ( x, y ) to ( x + 3 , y-2 ) to create triangle J'O'Y'. If a line segment is drown from
alina1380 [7]
The triangle JOY is translated to another triangle which each points is moved to the right by 3 and moved downward by 2. So if a two segments is connected of two of each points, the result is that they have the same length and they are parallel to each other. So the answer is C.
6 0
3 years ago
Read 2 more answers
The table shows the monthly revenue of a business rising exponentially since it opened an online store
inn [45]

The monthly revenue of the business grows by 8%, monthly

<h3>What is an exponential function?</h3>

An exponential function is any function that has its constant raised to the power of an argument.

An exponential function is represented as:

y = ab^x

Where:

  • a represents the initial value
  • b = 1 + r; r represents the rate

From the  table we have the following ordered pair

(x,y) = {(0,72000) (3,90000)}

So, we have:

90000 =72000 \times b^3

Divide both sides by 72000

1.25 = b^3

Take the cube roots of both sides

b=\sqrt[3]{1.25}

b=1.08

Recall that:

b = 1+r

So, we have:

1+r = 1.08

Subtract 1 from both sides

r = 0.08

Express as percentage

r = 8\%

Hence, the monthly revenue of the business grows by 8%, monthly

Read more about exponential functions at:

brainly.com/question/11464095

6 0
2 years ago
Laurie is trying to stay within 10 feet of her current diving depth of -30 feet (with regard to sea level) so that the light
Tema [17]

Answer:

I believe it's the 1st one.

HOPE IT HELPS! BE SAFE :3

4 0
2 years ago
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