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lubasha [3.4K]
3 years ago
9

A model airplane has a scale of 2 in: 9 yards. If the wing span of the model airplane is 18 inches, how many yards is the actual

wing span?
Mathematics
1 answer:
mote1985 [20]3 years ago
8 0

Answer:

81 yards

Step-by-step explanation:

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20 + 17y = -6 + 15y<br><br> Can you help me find y?
MariettaO [177]
20 + 17y = -6 + 15y

First, regroup your terms.
20 + 17y = 15y - 6
Second, take away '15y' from each side.
20 + 17y - 15y = -6
Third, subtract '17y - 15y' to get '2y'.
20 + 2y = -6
Fourth, take away '20' from both sides.
2y = -6 - 20
Fifth, simplify '-6 - 20' to get '-26'.
2y = -26
Sixth, divide both sides by '2'.
y =  -\frac{26}{2}
Seventh, how many times goes 2 go into 26? 26 ÷ 2 = 13.
y = -13

Answer: y = -13

4 0
3 years ago
Intersection point of Y=logx and y=1/2log(x+1)
GalinKa [24]

Answer:

The intersection is (\frac{1+\sqrt{5}}{2},\log(\frac{1+\sqrt{5}}{2}).

The Problem:

What is the intersection point of y=\log(x) and y=\frac{1}{2}\log(x+1)?

Step-by-step explanation:

To find the intersection of y=\log(x) and y=\frac{1}{2}\log(x+1), we will need to find when they have a common point; when their x and y are the same.

Let's start with setting the y's equal to find those x's for which the y's are the same.

\log(x)=\frac{1}{2}\log(x+1)

By power rule:

\log(x)=\log((x+1)^\frac{1}{2})

Since \log(u)=\log(v) implies u=v:

x=(x+1)^\frac{1}{2}

Squaring both sides to get rid of the fraction exponent:

x^2=x+1

This is a quadratic equation.

Subtract (x+1) on both sides:

x^2-(x+1)=0

x^2-x-1=0

Comparing this to ax^2+bx+c=0 we see the following:

a=1

b=-1

c=-1

Let's plug them into the quadratic formula:

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

x=\frac{1 \pm \sqrt{(-1)^2-4(1)(-1)}}{2(1)}

x=\frac{1 \pm \sqrt{1+4}}{2}

x=\frac{1 \pm \sqrt{5}}{2}

So we have the solutions to the quadratic equation are:

x=\frac{1+\sqrt{5}}{2} or x=\frac{1-\sqrt{5}}{2}.

The second solution definitely gives at least one of the logarithm equation problems.

Example: \log(x) has problems when x \le 0 and so the second solution is a problem.

So the x where the equations intersect is at x=\frac{1+\sqrt{5}}{2}.

Let's find the y-coordinate.

You may use either equation.

I choose y=\log(x).

y=\log(\frac{1+\sqrt{5}}{2})

The intersection is (\frac{1+\sqrt{5}}{2},\log(\frac{1+\sqrt{5}}{2}).

6 0
3 years ago
I NEED HELP ASAP!!<br> like right now plz I will do anything
shepuryov [24]

Answer:

Number 5. = 69

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Step-by-step explanation:

3 0
2 years ago
I need the answers to these or for someone to tell me how to figure it out
Lorico [155]

Answer:

4. Scalene

5. Isosceles

6. Isosceles

7. Equilateral

8. Right

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4 0
3 years ago
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If Gabby wants to buy a t-shirt for $35.99 but she has a discount for 10% off, how much is her final cost?
Leno4ka [110]

Answer:

It's $32.39.

Step-by-step explanation:

35.99 - 35.99*10% =

=35.99 - 35.99*0.1

=35.99 - 3.599

=32.391

32.391 is close to 32.39 so we will round it to that number.

The answer is $32.39.

6 0
3 years ago
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