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4 years ago

A number that uses place value and a decimal point to show part of a whole

Mathematics

1 answer:

lukranit [14]4 years ago

3 0

732.4 because just put in a decimal before a # and then do place value to a whole #.

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Assume that two figures on a flat surface, A and B, are similar.

lawyer [7]

A. ratio of areas = 2^2 /5^2 = 4/25

B 14^2 : 1 = 196:1

C. ratio of perimeters would be sqrt81 = 9 times

5 0

3 years ago

Find all roots: x^3 + 7x^2 + 12x = 0 <br> Show all work and check your answer.

Aliun [14]

The three roots of x^3 + 7x^2 + 12x = 0 is 0,-3 and -4

<u>Solution:</u>

We have been given a cubic polynomial.

$x^{3}+7 x^{2}+12 x=0$

We need to find the three roots of the given polynomial.

Since it is a cubic polynomial, we can start by taking ‘x’ common from the equation.

This gives us:

$x^{3}+7 x^{2}+12 x=0$

$x\left(x^{2}+7 x+12\right)=0$ ----- eqn 1

So, from the above eq1 we can find the first root of the polynomial, which will be:

x = 0

Now, we need to find the remaining two roots which are taken from the remaining part of the equation which is:

$x^{2}+7 x+12=0$

we have to use the quadratic equation to solve this polynomial. The quadratic formula is:

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

Now, a = 1, b = 7 and c = 12

By substituting the values of a,b and c in the quadratic equation we get;

$\begin{array}{l}{x=\frac{-7 \pm \sqrt{7^{2}-4 \times 1 \times 12}}{2 \times 1}} \\\\{x=\frac{-7 \pm \sqrt{1}}{2}}\end{array}$

<em><u>Therefore, the two roots are:</u></em>

$\begin{array}{l}{x=\frac{-7+\sqrt{1}}{2}=\frac{-7+1}{2}=\frac{-6}{2}} \\\\ {x=-3}\end{array}$

And,

$\begin{array}{c}{x=\frac{-7-\sqrt{1}}{2}} \\\\ {x=-4}\end{array}$

Hence, the three roots of the given cubic polynomial is 0, -3 and -4

4 0

3 years ago

Find the diagonal of the rectangular solid with the given measures.

Vikki [24]

Answer:

Step-by-step explanation:

Diagonal = $\sqrt{2^{2} +3^{2}+6^{2} } =\sqrt{49} =7$

6 0

3 years ago

Jordan buys 2 baseball jersey and gloves that cost $44. She gives the clerk two fifty dollar bills to pay the exact amount. How

butalik [34]

Answer: 2 ÷ 44 ≈ x x

x is 22

Step-by-step explanation:

4 0

4 years ago

Sean’s age and Helen’s age are in the ratio of 3:5. Two years ago, Helen was twice as old as Sean was then. Find their present a

PolarNik [594]

Lets Sean's age be x
Helen's age by y
x/y=3/5
x=3/5y

Second equation
2(x-2)=y-2

on solving u get Helen as 10 and Sean as 6

3 0

4 years ago