What is the change of rate for y=4x-3?

If BD = 4, AD = x-6, and CD = x, what is the length of CD?

emmainna [20.7K]

Answer:

The length of CD is 8 units

Step-by-step explanation:

The complete question in the attached figure

we know that

According to the Right Triangle Altitude Theorem,

$(BD)^2 = (AD)(CD)$

substitute the given values

$(4)^2 = (x-6)(x)$

$16=x^2-6x\\x^2-6x-16=0$

solve the quadratic equation by graphing

The solution is x=8 or x=-6

see the attached figure N 2

Discard the negative length.

therefore

The length of CD is 8 units

8 0

2 years ago

PLEASE HELP IF YOU ARE GOOD AT MATH!!!

polet [3.4K]

If we double the costs, then we are going to stretch the graph vertically (B). Here is why. If the cost was $6 in 2010 then it doubles in 2011 the new cost would be $12 for the same amount of refrigerators in 2010. Thus the stretch vertically

6 0

3 years ago

The Sun is roughly 10^2 times as wide as the Earth. The Star KW Sagittarii is roughly 10^5 times as wide as the Earth. About how

Studentka2010 [4]

Answer:

1000 times

Step-by-step explanation:

Given:

The Sun is roughly 10^2 times as wide as the Earth.

The Star KW Sagittarii is roughly 10^5 times as wide as the Earth.

Question asked:

About how many times as wide as the Sun is KW Sagittarii?

Solution:

Let the width of the earth = $x$

As the Sun is roughly 10^2 times as wide as the Earth, hence the width of the sun = $x\times10^{2}$

And as the Star KW Sagittarii is roughly 10^5 times as wide as the Earth, hence the width of the Star = $x\times10^{5}$

Now, to find that how many times width of the Star KW Sagittarii is as respect to the width of the Sun, we will simply divide:

Width of the Star KW Sagittarii = $x\times10^{5}$

Width of the Sun = $x\times10^{2}$

$\frac{x\times10^{5} }{x\times10^{2} }$

x canceled by x

$\frac{10^{5} }{10^{2} } =10^{5-2} =10^{3} =10\times\ 10\times10=1000$

Therefore, Star KW Sagittarii is 1000 times wider than Sun.

First of all we calculated width of Sun in terms of width of earth and then calculated the width of the Star in terms of earth and for comparison we did simple division that showed that the Star KW Sagittarii is 1000 times wider than the Sun.

4 0

3 years ago

How To Round 17 5/8 To The Nearest Whole Number

Verdich [7]

Answer:
18

Explanation:
To round a number to the nearest whole number, we would check the fraction part:
If the fraction is less than 0.5, then we would simply ignore the fraction
If the fraction is equal to or more than 0.5, then we would add 1 to the whole number and eliminate the fraction.

In the given , we have:
 $17 \frac{5}{8}$ .

The fraction part is $\frac{5}{8}$ which is greater than 0.5
This means that we would add one to the whole number (round it up) and eliminate the fraction.
Therefore, the answer would be 18.

Hope this helps :)

5 0

3 years ago

F(1) = 5

MatroZZZ [7]

Answer:

a(7)=3645

Step-by-step explanation:

you have :

f(1) =a= 5

and from recursive rule: f(n) = r · f(n − 1) and f(n) = 3 · f(n − 1)

So r=3

then

a(n)=a*r^(n-1)

a(7)=5*3^(7-1)

a(7)=5*3^6=3645

hope this helps

7 0

2 years ago