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3 years ago

15

Find the vertices and foci of the hyperbola with equation quantity x plus 1 squared divided by 225 minus the quantity of y plus

5 squared divided by 400 = 1

1 answer:

miss Akunina [59]3 years ago

6 0

Answer:

The vertices are (-16,-5) and (14,-5)

The foci are (-26,-5) and (24,-5)

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Line FG goes through the points (4,9) and (1,3). Which equation represents a line that is perpendicular to FG and passes through

stiks02 [169]

Answer:

$x + 2y= 2$

Step-by-step explanation:

Given

Points:

$F = (4,9)$

$G = (1,3)$

Required

Determine the equation of line that is perpendicular to the given points and that pass through $(2,0)$

First, we need to determine the slope, m of FG

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$F = (4,9)$ --- $(x_1,y_1)$

$G = (1,3)$ --- $(x_2,y_2)$

$m = \frac{3 - 9}{1 - 4}$

$m = \frac{- 6}{- 3}$

$m =2$

The question says the line is perpendicular to FG.

Next, we determine the slope (m2) of the perpendicular line using:

$m_2 = -\frac{1}{m}$

$m_2 = -\frac{1}{2}$

The equation of the line is then calculated as:

$y - y_1 = m_2(x - x_1)$

Where

$m_2 = -\frac{1}{2}$

$(x_1,y_1) = (2,0)$

$y - 0 = -\frac{1}{2}(x - 2)$

$y = -\frac{1}{2}(x - 2)$

$y = -\frac{1}{2}x + 1$

Multiply through by 2

$2y = -x + 2$

Add x to both sides

$x + 2y= -x +x+ 2$

$x + 2y= 2$

Hence, the line of the equation is $x + 2y= 2$

8 0

3 years ago

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In a science experiment,the temperature decreased by 0.1 degree Celsius every 15 minutes. Find the unit rate

maksim [4K]

0.1 decrease in 15 minutes
unit rate is 0.1 / 15 = 0.00667
Temperature is decreasing by 0.00667 degrees Celsius per minute

8 0

3 years ago

Mathematical literacy

melomori [17]

Answer:

hope that help

Step-by-step explanation:

Mathematical literacy is defined as: "an individual's capacity to formulate, employ and interpret mathematics in a variety of contexts. It includes reasoning mathematically and using mathematical concepts, procedures, facts and tools to describe, explain and predict phenomena.

4 0

2 years ago

What is x/4 - 16 = (-32)

Lubov Fominskaja [6]

The correct answer would be x= (-64)

5 0

3 years ago

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The ratio of green pepper plants to red pepper plants in joes garden is 2 to 7 if joe has 20 more red peppers plants than green

PSYCHO15rus [73]

Let the number of red and green peppers be x and y respectively.

$x = y + 20$
$\frac{x}{y} = \frac{7}{2} \\ x = \frac{7}{2} y$
$\frac{7}{2}y = y + 20 \\ \frac{5}{2} y = 20 \\ y = 8$
$x = \frac{7}{2} y \\ x = \frac{7}{2} (8) \\ x = 28$

6 0

3 years ago

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