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telo118 [61]
3 years ago
7

Three squares are placed next to each other as shown. The vertices A, B, and C are collinear. Find the dimension n. Replace the

lengths 4 and 7 by m and k, respectively. Express k in terms of m and n.

Mathematics
1 answer:
Anna007 [38]3 years ago
5 0
\frac{k-m}{m} = \frac{n-k}{k} 
\\
\\k^2-mk=mn-mk
\\k^2=mn
\\k= \sqrt{mn} 
\\

7^2=4n
\\
\\n= \frac{49}{4}

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Jenna knits scarves and then sells them on Etsy, an online marketplace. Let C(x) = 4x + 20 represent the cost C in
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Answer:

Step-by-step explanation:

We are given that Jenna knits scarves and sells them on Etsy an online market place.

C(x)=4x+20

Where C=Represents the cost in dollars

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We have to create a table to show the relationship between the number of scarves x and the cost C

Substitute x=1

C(1)=4(1)+20=$24

Substitute x=2

C(2)=4(2)+20=$28

C(3)=4(3)+20=$32

C(4)=4(4)+20=$36

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3 0
3 years ago
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Answer:

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Step-by-step explanation:


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3 years ago
Help with this question, ASAP PLEASE!! SHOW YOUR WORK!!
r-ruslan [8.4K]

Simplest polynomial function is x^4-x^3-11x^2+9x+18.

Solution:

Given data:

Zeroes are 3i, –1, 2.

3i is a complex root of the function.

If 3i is a zero of the polynomial then –3i is also a zero of the polynomial.

Therefore zeroes are 3i, –3i –1, 2.

By factor theorem,

If a is zero of the function, then (x – a) is a factor of the polynomial.

So, the factors are (x – 3i), (x + 3i), (x + 1), (x –2).

On multiplying the factors, we get the polynomial.

(x - 3i) (x + 3i) (x + 1) (x -2)

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Since the value of i^2=-1

            =x^2(x^2-x-2)-9(x^2-x-2)

            =x^4-x^3-2x^2-9x^2+9x+18

            =x^4-x^3-11x^2+9x+18

Simplest polynomial function is x^4-x^3-11x^2+9x+18.

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3 years ago
Raphael deposited $6,500 in an account that pays 4.25% interest, compounded annually. He left the money in the account for 4 yea
netineya [11]

Answer:

$1105

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First, converting R percent to r a decimal

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The simple interest accumulated

on a principal of $ 6,500.00

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