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IrinaK [193]
2 years ago
11

The table represents a linear equation. Which equation correctly uses point (–2, –6) to write the equation of this line in point

-slope form? y – 6 = (x – 2) y – 6 = (x – 2) y + 6 = (x + 2) y + 6 = (x + 2)
Mathematics
2 answers:
sineoko [7]2 years ago
6 0

Answer:

y+6=m(x+2)

where I would have to look at the table to know m.

Step-by-step explanation:

Point-slope form of a line is

y-y_1=m(x-x_1)

where m \text{ is the slope and } (x_1,y_1) \text{ is a point on that line}

You are given (x_1,y_1)=(-2,-6) \text{, but no value for }m.

So we know we are looking for an equation that looks like this:

y-(-6)=m(x-(-2))

If you simplify this looks like:

y+6=m(x+2)

ololo11 [35]2 years ago
6 0

Answer:

d

Step-by-step explanation:

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A drinking glass has sides following the shape of a hyperbola. The minimum diameter of the glass is 45 millimeters at a height o
Alinara [238K]

Answer:

The answer is a= 128.95 and b = 14.75

Step-by-step explanation:

Solution

Given

let the equation of the hyperbola be denoted as  x2/a2 - y2/b2 = 1 here, we will  consider the foci on the x-axis. All units are considered to be in mm.

From question stated, with x and y coordinates represents height and radius respectively,

Then,

When  x = 83 + a, y is = 45/2 = 22.5 and

At x = 180 + a, y  is = 57/2 = 28.5

It is important to know that, the height is estimated from the focus so we a a is included to the heights.

Thus,

(83+a)2/a2 - 22.52/b2 = 1 and (180+a)2/a2 - 28.52/b2 = 1

By using a calculator we have, a = 128.95 and b = 14.75

Therefore a= 128.95 and b = 14.75

3 0
2 years ago
Mary deposits $550 in a savings account at 3% simple annual interest. The
kupik [55]

Answer:

Domain: t \geq 0

Range: v \geq 550

Step-by-step explanation:

Given

v = 550 + 16.5t

Required

Determine the domain and the range

Solving for domain:

From the question, we understand that t represent years.

Because years can't be negative;

Then, we can conclude that the domain, t is:

t \geq 0

Solving for Range:

We solved domain to be t \geq 0

This implies that the minimum value of t is t = 0 and the maximum is infinity

Substitute 0 for t in v = 550 + 16.5t

v = 550 + 16.5(0)

v = 550 + 0

v = 550

Hence;

The range is v \geq 550

6 0
2 years ago
A survey found that 89% of a random sample of 1024 American adults approved of cloning endangered animals. Find the margin of er
Kobotan [32]

Answer:

The margin of error for the survey is 0.016

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1024

Sample proportion:

\hat{p} = 89\% = 0.89

We have to find the margin of error associated with a 90% Confidence interval.

Formula for margin of error:

z_{stat}\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.10} = 1.64

Putting the values, we get:

M.E = 1.64\times (\sqrt{\dfrac{0.89(1-0.89)}{1024}})\\\\M.E=0.016

Thus, the margin of error for the survey is 0.016

3 0
2 years ago
Major arc CBD measures 300°Which is the radian measure of its corresponding central angle?
ella [17]

This question is not complete.

Complete Question

Major arc CBD measures 300°. Which is the radian measure of its corresponding central angle?

a)4pi/3 radians

b) 5pi/6 radians

c) 5pi/3 radians

d) 11pi/6 radians

Answer:

c) 5pi/3 radians = 5π/3 radians

Step-by-step explanation:

The corresponding central angle can be defined as the angle that is formed when there is a joining together of two radii at the center of the circle.

The circumference of a circle is given as

360° = 2πr

The major arc CBD is 300°

Therefore,

360° = 2πr , radius is not given hence , 360° = 2π

300° = Y (Unknown)

Cross multiply

360Y= (300× 2π)

Y = 600π ÷ 360

Y = (5π÷ 3) radians

Y = 5π/3 radians

Hence the radian measure for the corresponding angle is = 5π/3 radians

8 0
2 years ago
Read 2 more answers
Mason owns a trucking company. For every truck that goes out, Mason must pay the driver $13 per hour of driving and also has an
emmasim [6.3K]

Answer: The required system of equations are

y = 30x

13x + y = 258

Step-by-step explanation:

Let x represent the number of hours

that the driver worked.

Let y represent the number of miles that the truck drove.

For every truck that goes out, Mason must pay the driver $13 per hour of driving and also has an expense of $1 per mile driven for gas and maintenance. If on a particular day, his total expenses for the driver, gas and truck maintenance were $258, it means that

13x + y = 258

On that particular day, the driver drove an average of 30 miles per hour.

Speed = distance/time

It means that

y/x = 30

y = 30x

4 0
2 years ago
Read 2 more answers
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