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2 years ago

These rectangles are similar. find the measurement of the missing side.

Mathematics

1 answer:

KengaRu [80]2 years ago

8 0

4/3.2 = 7/x

4x = 22.4

/4

x = 5.6

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Write each quadratic function below in terms of linear factors.a)f(x)=x²-25b)f(x)=x²+25c)f(x)=4x²+25d)f(x)=x²-2x+1e)f(x)=x²-2x+4

Andrei [34K]

Answer:

a) (x + 5) (x - 5)

b) (x + 5i) (x - 5i)

c) (x + (5i/2)) (x - (5i/2))

d) (x-1)(x-1)

e) x +i√3 +1) (x -i√3+1)

Step-by-step explanation:

To solve this, we will need to factorize each quadratic function making it equal to zero first and then proceeding to find x

a) f(x) = x²-25

x²-25 = 0

⇒(x + 5) (x - 5)

b) f(x)=x²+25

x² + 25 = 0

x²= -25

x = √-25

x = √25i

x = ±5i

⇒(x + 5i) (x - 5i)

c) f(x)=4x²+25

4x²+25 = 0

4x²= -25

x² = -25/4

x = ±√(-25/4)

x = ±(√25i)/2

x = ±5i /2

⇒(x + (5i/2)) (x - (5i/2))

d) f(x)=x²-2x+1

x²-2x+1 = 0

⇒(x - 1)²

e) f(x)=x²-2x+4

x²-2x+4 = 0

x²-2x = -4

x²-2x +1 = -4 +1

x²-2x + 1 = -3

(x-1)² +3 = 0

(x-1)²= -3

x-1 = √-3

x = ±√3i +1

⇒(x +i√3 +1) (x -i√3+1)

6 0

3 years ago

A regular hexagon and a rectangle have the same perimeter, P. A side of the hexagon is 4 less than the length, l, of the rectang

disa [49]

The answer and explanation is given in the picture below

I hope it helps.

3 0

2 years ago

What is the polynomial function if the zeros are -2,3,-4

navik [9.2K]

For the above equation and given zeros of polynomial equation we have;

y=(x+2)(x-3)(x+4)
y=(x^2+2x-3x-6)(x+4)
y=(x^2-x-6)(x+4)
y=(x^3-x^2-6x+4x^2-4x-24)
y=x^3+3x^2-10x-24
Therefore our answer is 3

Hope this helps. Any questions please just ask. Thank you.

3 0

3 years ago

6. A proton represents a positive charge. Write an integer to represent 5 protons. An electron represents a negative

____ [38]

5 for protons
-3 for elections

6 0

2 years ago

Please help me with thisss

Butoxors [25]

Answer:

Here we have the relation:

m = 140*h

Where m is the distance in miles, and h is time in hours.

And we want to complete a table like:

$\left[\begin{array}{ccc}in, h&out, m\\&\\&\\&\\&\end{array}\right]$

The way to complete this, is to evaluate the function:

m = 140*h

in different values of h, and then record both values of h and m in the table.

Let's use values of h that increase by 0.5, then:

if h = 0.5

m = 140*0.5 = 70

We have the pair: h = 0.5, m = 70

if h = 1

m = 140*1 = 140

We have the pair: h = 1, m = 140

if h = 1.5

m = 140*1.5 = 210

Then we have the pair h = 1.5, m = 210

if h = 2

m = 140*2 = 280

We have the pair: h = 2, m = 280

Now we can complete the table, and it will be:

$\left[\begin{array}{ccc}in, h&out, m\\0.5&70\\1&140\\1.5&210\\2&280\end{array}\right]$

7 0

2 years ago