Question 1

A line is drawn on a coordinate grid by the equation y = 4. Which of the following lines would represent a row parallel to it?

dedylja [7]

Y = and then any number you want to put there

8 0

3 years ago

Read 2 more answers

My rectangular soccer field site has a length equal to one and a half times it’s width. Find the area of its length x.

Greeley [361]

Answer:

Let width = x

Let length = 1.5x

Area = (length)(width)

Area = 1.5x2

Step-by-step explanation:

3 0

2 years ago

Sally finds a coin with a radius of 1.5 centimeters and a thickness of 0.25 cm. It has a measured mass of 18.54 grams. How can S

mote1985 [20]

Answer:

Silver

Step-by-step explanation:

Find the volume of the coin

Volume of a cylinder

$\textsf{V}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

Given:

r = 1.5 cm
h = 0.25 cm

Substituting given values into the formula to find the volume:

$\sf \implies V=\pi (1.5)^2(0.25)$

$\sf \implies V=0.5625 \pi \:cm^3$

Find the density of the coin given it has a measured mass of 18.54 g

Density formula

$\sf \rho=\dfrac{m}{V}$

where:

$\rho$ = density
m = mass
V = volume

Given:

m = 18.54 g
$\sf V=0.5625 \pi \:cm^3$

Substituting given values into the density formula:

$\implies \sf \rho=\dfrac{18.54}{0.5625 \pi}$

$\implies \sf \rho=10.49149385\:g\:cm^{-3}$

Given:

$\textsf{Density of Lead}=\sf 11.3\:g\:cm^{-3}$

$\textsf{Density of Silver}=\sf 10.49\:g\:cm^{-3}$

Therefore, as $\sf \rho=10.49\:g\:cm^{-3}$ the coin is made from silver.

4 0

2 years ago

(x+3)^2 + 16/(x+3)^2 = 92 x + 1/(x+3) = ??

Irina-Kira [14]

One
Remark
This is very complicate unless you pick the right method. It's very handy o know about substitutions.

Method
Let z = (k + 2)^2

Now the problem becomes
z + 16/z = 92 Multiply through by z

Solution
z^2 + 16 = 92z
That does not look very promising. If you know the quadratic formula, this mess can be solved. If you do not know what the quadratic formula is, then what I've written is the answer.

Worse yet, you have to know what complex numbers are. Is this something you know about? The z form of this equation is fine. It gives answers that are rational. The problem is that both are negative and so in your next step, you will be forced to take the square root of a negative number.

Maybe the answer is just
(x + 3)^ + 16 = 92(x + 3)^2
If all you have to do is expand this then you get
x^2 + 6x + 9 + 16 = 92(x^2 + 6x + 9) Remove the brackets.
x^2 + 6x + 25 = 92x^2 + 552x + 828 Put the left over to the right.
0 = 92x^2 - x^2 + 552x - 6x + 828 - 25
0 = 91x^1 + 546x + 803

It looks that way from the second question. If I'm wrong about that, put a comment down below.

Two
Put over a common denominator and expand
$\frac{(x + 3)^2 + 1}{(x + 3)^2} = \frac{x^2 + 6x + 9 + 1}{x^2 + 6x + 9} = \frac{x^2 + 6x + 10}{x^2 + 6x + 9}$

3 0

2 years ago

I really need help with this. can someone please help me

Andreyy89

Michael owns a small paper company called Michael Scott Paper Co. He has 5 clients and needs to sell them each a specific amount of paper. They have each ordered 3 3/10 worth of boxes. He has to find out how many paper boxes he has to sell and how much extra paper (in tenths) he has total.

IF you want to turn it into a question, add:

How many paper boxes is he selling?

5 0

3 years ago