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r-ruslan [8.4K]
2 years ago
8

Help please??????????????

Mathematics
2 answers:
11111nata11111 [884]2 years ago
8 0

Answer:

9.8

Step-by-step explanation:

a geometric sequence means we multiply the previous element by a certain factor to get the next element.

so, all we need to do is determine the factor used to go from one element in the list to the next.

a1 = 9

a2 = 88.2

a3 = 864.36

a4 = 8470.728

the simplest case is usually the case from a1 to a2.

a2 = a1×f

88.2 = 9×f

f = 88.2/9 = 9.8

we are finished here.

but we can control our result and verify with the other given elements.

88.2 × 9.8 = 864.36

and that is a3. fits.

864.36 × 9.8 = 8470.728

and that is a4.

so, all fits, we are correct.

levacccp [35]2 years ago
7 0

Answer:

the common ratio is 9.8

just divide the term with it's previous term

eg. 88.2/9 , 864.36/88.2

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A rectangular photograph is nine centimeters wide and fourteen centimeters long. The photograph is enlarged by increasing the le
koban [17]

Answer:

Width=13cm

Length=18cm

Step-by-step explanation:

Width of the Initial Photograph=9cm

Length of the Initial Photograph=14cm

If width and length are increased by an equal amount, say x

New Width=9+x

New Length=14+x

Area of the new photo is 108 square centimeters greater than the area of the original photo.

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Aeea of the New Photo=126+108=234cm²

Therefore:

(9+x)(14+x)=234

126+9x+14x+x²-234=0

x²+23x-108=0

x²+27x-4x-108=0

x(x+27)-4(x+27)=0

(x+27)(x-4)=0

x+27=0 or x-4=0

x=-27 or x=4

Since x≠-27

x=4cm

The dimensions of the new photo are:

Width=9+x=9+4=13cm

Length=14+x=14+4=18cm

4 0
3 years ago
Can someone help me with this question please!!!!!
faltersainse [42]
From the equation, it looks like we can set up a triangle like this.  One side is x and the other is x + 20 because the northbound car traveled 20 miles farther.  The hypotenuse is 100 because they were 100 miles apart.

Next, we can use the Pythagorean Theorem to solve for x:

a² + b² = c²
x² + (x + 20)² = 100²

This simplifies to:

x² + x² + 40x + 400 = 10000
2x² + 40x = 9600
2x² + 40x - 9600 = 0

After that, we can divided each side by 2:

x² + 20x - 4800 = 0

Next, we have to factor:

(x - 60)(x + 80) = 0
x = 60, -80

Since we know that distance can't be negative, 60 is the valid answer in this case.

x = 60
x + 20 = 80

Using this information, we know that the westbound car traveled 60 miles and the northbound car traveled 80 miles.

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2 years ago
Amelia needs to buy dog food. At the nearest store 3 bags of dog food cost $12.75. How much would Amelia spend on 2 bags of dog
Novosadov [1.4K]

Answer:

$8.5

Step-by-step explanation:

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2 years ago
Find the slope of the line on the graph.
kirill [66]

Answer:

Step-by-step explanation:

Find the slope of the line on the graph.

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8 0
2 years ago
Theirs a picture on top.. :) <br><br> 15. simplify<br> 16. simplify
notsponge [240]

Answer:

15(b)

16(a)

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(-2*-x)+(-2*-3)

2x+(6)

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