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Dennis_Churaev [7]
3 years ago
8

Convert 4.5 in to a fraction

Mathematics
2 answers:
jenyasd209 [6]3 years ago
6 0

Answer:

9/2

Step-by-step explanation:

1. Turn the equation into a fraction: 4.5/1

2. Multiply top and bottom by two: 9/2

Liula [17]3 years ago
6 0

We know 0.5 is equal to 1/2, so 4.5 as a fraction would be:

<h2>Answer:</h2>

Mixed number: 4 1/2

Improper Fraction: (4.5/1 times 2/2 = 9/2.) 9/2

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What can you conclude about the angles formed by two parallel lines cut by a transversal?
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°Alternate interior angles are equal
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3 years ago
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For what value of c does x^2−2x−c=4 have exactly one real solution?<br> PLEASE HELP!!!!!!!
Paul [167]

Answer:

-5

Step-by-step explanation:

Moving all terms of the quadratic to one side, we have

x^2-2x-(c+4)=0.

A quadratic has one real solution when the discriminant is equal to 0. In a quadratic ax^2+bx+d, the discriminant is \sqrt{b^2-4ad}.

(The discriminant is more commonly known as \sqrt{b^2-4ac}, but I changed the variable since we already have a c in the quadratic given.)

In the quadratic above, we have a=1, b=-2, and d=-(c+4). Plugging this into the formula for the discriminant, we have

\sqrt{(-2)^2-4(1)(-(c+4)).

Using the distributive property to expand and simplifying, the expression becomes

\sqrt{4-4(-c-4)}=\sqrt{4+4c+16}\\~~~~~~~~~~~~~~~~~~~~~~=\sqrt{20+4c}\\~~~~~~~~~~~~~~~~~~~~~~=\sqrt{4}\cdot\sqrt{5+c}\\~~~~~~~~~~~~~~~~~~~~~~=2\sqrt{c+5}.

Setting the discriminant equal to 0 gives

2\sqrt{c+5}=0.

We can then solve the equation as usual: first, divide by 2 on both sides:

\sqrt{c+5}=0.

Squaring both sides gives

c+5=0,

and subtracting 5 from both sides, we have

\boxed{c=-5}.

3 0
2 years ago
Students measure the length of their feet in inches. The data is shown in the frequency table below. If the data were displayed
skelet666 [1.2K]

Answer:

Step-by-step explanation:

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Answer:

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3 years ago
Write an equation of a circle with a center at (2, - 4) and a radius of 4.
fgiga [73]

9514 1404 393

Answer:

  (x -2)^2 +(y +4)^2 = 16

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

You have (h, k) = (2, -4) and r = 4, so your equation is ...

  (x -2)^2 +(y -(-4))^2 = 4^2

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3 years ago
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