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Leya [2.2K]
3 years ago
12

Consider the equation y = (x + 2)^2 – 3. What is the length of the focal width of the parabola?

Mathematics
2 answers:
coldgirl [10]3 years ago
7 0

Answer:

1

Step-by-step explanation:

i just took the quiz

likoan [24]3 years ago
6 0

Answer:

The length of the focal width of the parabola is 1.

Step-by-step explanation:

Suppose we have a parabola with the following equation:

(x - h)^2 = 4p(y - k)

The centre is at point (h,k).

The length of the focal width is of |4p|.

In this question:

We want to place in the general format. So

y = (x+2)^2 - 3

(x+2)^2 = 1(y + 3)

Comparing, we have that 4p = 1. So the length of the focal width of the parabola is 1.

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Answer:

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sergeinik [125]
The answer for this question is Grade 7 I believe.
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If a number becomes 2.5 times smaller, by what percent was it decreased?
Gwar [14]

Answer: 40%

Step-by-step explanation: 1 Divided by 2.5 is 0.4, or 40%.

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What is the slope of the line containing the midpoint of the segment with endpoints at $(2, 4)$ and $(0, -2)$ and the midpoint o
oksian1 [2.3K]

The Midpoint 1 = (1,1), Mid point 2 = (3,3 ) and slope is 1 of the given points of the line.

<h3>What is the slope of line?</h3>

The slope of a line segment is a measure of the steepness of the line segment. It is the ratio of rise (the change in vertical height between the endpoints) over run (the change in horizontal length between the endpoints.

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line.

Midpoints of 1 line segment are -

= (2+0 / 2 , 4-2 / 2)

= (1,1)

Mid points of line 2 =

= (5+1 / 2, 1+5 / 2)

= (3,3)

slope  -

The required slope = rise / run

= (y1-y2)/(x1-x2)

= (1-3)/(1-3)

= 1

Therefore, the Midpoint 1 = (1,1), Mid point 2 = (3,3 ) and slope is 1 of the given points of the line.

To learn more about slope and mind-points from the given link

brainly.com/question/5792883

#SPJ4

6 0
2 years ago
For the rotation - 660°, find the coterminal angle from 0° &lt; 0 &lt; 360°, thequadrant and the reference angle.
guajiro [1.7K]

Given the angle:

-660°

Let's find the coterminal angle from 0≤θ≤360.

To find the coterminal angle, in the interval given, let's keep adding 360 degrees to the angle until we get the angle in the interval,

We have:

Coterminal angle = -660 + 360 = -300 + 360 = 60°

Therefore, the coterminal angle is 60°.

Since 60 degrees is between 0 to 90 degrees, is is quadrant I.

60 degrees lie in Quadrant I.

Also since it is in quadrant I, the reference angle is still 60 degrees.

ANSWER:

The coterminal angle is 60°, which lies in quadrant I, with a reference angle of 60°

3 0
1 year ago
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