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timofeeve [1]
3 years ago
7

Find the slopes of the asymptotes of the hyperbola with the following equation.

Mathematics
1 answer:
frosja888 [35]3 years ago
3 0
You are given the equation 36 = 9x² + 4y². You are asked to find the slopes of the asymptotes of the hyperbola. A hyperbola has the following general equation x²/a² + y²/b² = 1. the goal here is to find the slopes of the hyperbolic equation. So divide both sides by 36

36 = 9x² + 4y²
(1/36)[36 = 9x² + 4y²]
1 = x²/4 + y²/9
a² = 4
a = 2
and
b² = 9
b = 3

To find the slope, divide a/b and you will get 2/3.
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Plz help with 12<br> Will give brainliest
Irina-Kira [14]

Answer:

True, based on the <em>Transitive Property of Equality</em>.

Step-by-step explanation:

Note that the <em>Transitive Property of Equality </em>states that "If a = b, & b = c, then a = c.

In this case it is the same.

∠1 ≅ ∠2 (because both are complementary), ∠1 ≅ ∠3 (again, both are complementary), then based on the Transitive Property, ∠2 ≅ ∠3, making all of them complementary angles

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8 0
3 years ago
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The tile pattern below is made up of trapezoids and rhombuses. What is the area of each figure in the pattern?
shutvik [7]

The area of the rhombus and trapezoid from the figure are 2 square in and 5 square in respectively

<h3>How to find the area of a trapezoid and rhombus?</h3>

The given pattern consists of rhombus and trapezoids

The formula for calculating the area of rhombus is expressed as:

A = pq/2

Area of trapezoid = 0.5(a+b)h

Given the following

height  = 2in

a = 2in

b = 3in

Ara of rhombus = 1(4)/2 = 2 square inches

Area of the trapezoid = 0.5(2+3) * 2

Area of the trapezoid  = 5 square inches

Hence the area of the rhombus and trapezoid from the figure are 2 square in and 5 square in respectively

Learn more on area of rhombus and trapezoid here: brainly.com/question/2456096

6 0
1 year ago
Will somebody help me with this ? Very much appreciated!! I’ll mark u as brainliest!
Mice21 [21]

Answer:

Step-by-step explanation:

y = x - 1/4

x = 1/4                  Put this value in for x

y = 1/4 - 1/4

y = 0

x = 13/4

y = 13/4 - 1/4        The denominators remain the same The numerators are subtracted.

y = (13 - 1)/4

y = 12/4

y = 3

If x is to = 2 then it must be changed so it's denominator is 4

2 = 8/4

y= 8/4 - 1/4

y = 7/4 or 1.75  or 1 3/4

3 0
2 years ago
What is the slope of the<br> line that passes through the<br> points (-12, -5) and (0, -8)?
denis-greek [22]

Answer:

I think its - 2/3

Step-by-step explanation:

5 0
3 years ago
HELP ME PLEASEEEEEEEE I WILL MARK BRAINLIEST TO CORRECT ANSWER
Hitman42 [59]

Answer:

9

Step-by-step explanation:

4a+7\\\\a=\frac{1}{2}\\\\=4[\frac{1}{2}]+7\\\\=2+7\\\\=9

6 0
3 years ago
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