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4 years ago

!!!50 POINTS IF ANSWERED CORRECTLY!!!!

Mathematics

1 answer:

Arisa [49]4 years ago

8 0

Answer:

1.11.5

2.38.5

3)b=9

4)12

5)9

Step-by-step explanation:

One simple rule.

Q1 :P1 :: Q1:P2

Q1*P2 = P1*Q1

7:2 :: tomatillos :18

2*tomatillos =7*18 ⇒tomatillos =11.5

2. 11:2 :: pages :7

2*pages =11*7 ⇒pages =38.5

3. $\frac{18}{24}=\frac{b}{12}$

b =9

4. 12:8 :: 18 :x

8*18 = 12*x ⇒ x =12

5. 3 :7 :: cantaloupes : 21

7*cantaloupes =21*3 ⇒ cantaloupes =9

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3 years ago

3x + 2y = 1 5x – 2y = 39

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3 years ago

The equation represents a hyperbola centered at the origin with a directrix of . what is the value of b? 10 16 20 26

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the value of b is = 10.

The equation of a hyperbola is x^2/24^2 - y^2/ (10)^2= 1.

<h3>What is hyperbola?</h3>

The geometric characteristics of a hyperbola or the equations for which it is the solution set characterize it as a particular kind of smooth curve that lies in a plane. Mirror reflections of each other that resemble two infinite bows make up a hyperbola's two connected components or branches.

<h3>What is the general formula for hyperbola?</h3>

The general formula for hyperbola = (x - h)²/a²- (y - k)²/(b)² = 1

<h3>According to the given information:</h3>

x²/24 - y²/(b)² = 1

(x - 0)²/24 - (y -0)²/(b)² = 1

a=24,h=0 and k=0

Now equation of the directrix

x=a²/c...(1)

and we know x=576/26...(2)

Therefore from 1 and 2 we get

24²/c=576/26.

isolate the c so we get,

C=26

C= center of focii

c = √(a² + b³)

c² = a² + b²

b = c² - a²

b = 10

So we get the value of b is 10.

Therefore the equation of a hyperbola is x²/24² - y²/ (10)² = 1.

To know more about Hyperbola visit:

brainly.com/question/12919612

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2 years ago

I need help I don’t understand this

Andrei [34K]

See the explanation

<h2>Explanation:</h2>

Hello! here we need to match the statements on the left-hand side to the reasons on the right-hand-side.

So this is as follows:

Statements: Reasons:

Segment Addition Postulate $AB+BC=AC$

Substitute the given values $5x+1+15=7x$

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Subtract 5x from both sides $16=2x$

Divide both sides by 2 $16/2=2x/2$

Simplify $AC=7x$

Substitute 8 for x $AC=7(8)$

Simplify $AC=56$

So what we did here is to find the measure of segment AC by finding the x-value first. In other words, we have proven that AC = 56 by following logical arguments organized in an structured manner.

<h2>Learn more:</h2>

Two-column proof: brainly.com/question/13338796

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