Using a straight path, how far is a point located at (9,-5) from the origin? Round your answer to the nearest tenth.

Fred is 58 yes old, and Irene is 18. How many years ago was Fred 5 times as old as Irene. Algebra must be used

Sedaia [141]

So let's take a peek at both's ages, keep in mind, every year, is 1year added to Irene and 1year added to Fred
so... if we look at their ages $\bf \begin{array}{ccllll}
fred&irene\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
58&18\\
57&17\\
56&16\\
55&15\\
...&...
\end{array}$

notice, Fred is always 40years older than Irene

thus, whatever age Irene is, let's say "i", then Fred is " i + 40 "

now, when is Fred 5 times Irene's age or 5*i or 5i? well,

f = fred's age i = irene's age

f = i + 40
now if f = 5i

5i = i + 40 <--- solve for "i" to see how old Irene was then

3 0

3 years ago

What is the radius of a sphere if its surface area is 2,122.64 square inches? (Use 3.14 for π.) 11 in. 13 in. 121 in. 169 in.

crimeas [40]

To solve this, we are going to use the surface are of a sphere formula: $A=4 \pi r^2$
where
$A$ is the surface area of the sphere
$r$ is the radius of the sphere

We know for our problem that $A=2122.64$ and $\pi =3.14$ , so lets replace those vales in our formula:
$A=4 \pi r^2$
$2122.64=4(3.14)r^2$
$2122.64=12.56r^2$
Now, we just need to solve our equation for $r$ :
$\frac{2122.64}{12.56} =r^2$
$r^2=\frac{2122.64}{12.56}$
$r^2=169$
$r=+or- \sqrt{169}$
$r=13$ or $r=13$
Since the radius of a sphere cannot be a negative number, $r=13$ .

We can conclude that the radius of a sphere with surface area <span>2,122.64 </span> $in^2$ is 13 in.

3 0

3 years ago

Explain how an enlargement or a reduction in the dimensions of a building would cause a change in the scale factor.

swat32

Answer:

It would create an enlarged figure.

Explanation:

A scale factor of

1

results in a figure of equal dimensions or an isometric figure.

A scale factor of less than

1

results in a figure of reduced dimensions .

A scale factor of greater than

1

would result in a figure of enlarged dimensions.

As

4

3

>

1

, it would create an enlarged figure.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Explain how the graph of a quadratic function relates to

igomit [66]

The equation for a quadratic is as follows:
y = ax^2+bx+c

The first variable “a” determines whether the parabola opens up or down
The squared allows the equation to look like the parabola swoop when graphed.
The c term is the constant term

5 0

4 years ago

Read 2 more answers

8 more than for times a number is -12

I am Lyosha [343]

-5 Subtract 8 from -12 and divide -20 by 4 and get -5

3 0

3 years ago