A ratio is a comparison of two numbers that can be written in multiple ways such as:

Word: There are ___x for every ___ y
Fraction: y/x
Ordered pair: (x,y)
Ratio:x:y

Proportional is a type of relationship where, oh a graph, a line goes through the 0,0 point and when you divide y/x at any point, you will get the same answer.

Hope this helped!

6 0

3 years ago

The length of a rectangular mural is 2ft. more than three times the width the area is 165 sq. ft. Find the Width And Length

olga nikolaevna [1]

We know that the formula for the area of a rectangle is:

$A=lw$

We know that the area is 165. Now we need to solve for the dimensions.

Let the width of the rectangle be " $x$ "

Then the length of the rectangle is $3x+2$

Substitute.

$(3x+2)(x)=156$

Multiply the terms.

$3x^2+2x=156$

Bring the 156 over.

$3x^2+2x-156=0$

We have to use the quadratic formula to solve this now. Let us restate it:

$x= \frac{-b± \sqrt{b^2-4ac} }{2a}$

Now I'm going to fast forward this because all the rest is boring stuff and substitution. The answer is:

$\frac{ \sqrt{469}-1 }{3}$

Since we cannot have a negative answer, we must cancel out the other answer, which I did not include.

Hope this helped! :)

~Cam943, Junior Moderator

5 0

4 years ago

Read 2 more answers

Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit. f(x) = 3^x-7 g(x) = 2 l

Gemiola [76]

Answer:

(.5 , 0) (7.8 , 2.4)

Step-by-step explanation:

The solution to a system of equations is when they cross each other on a graph.

When this is graphed you case use the trace and zoom in tools to find where they are solutions at.

5 0

4 years ago

Write the expression in standard form. -3 + yi = x + 6i

tangare [24]

Answer:

The expression in standard form is -3 + 6i

Step-by-step explanation:

Writing complex equation in standard form we have;

-3 + yi = x + 6i

We transfer the real and imaginary parts to be on different sides of the equation as follows;

yi - 6i = x + 3

We factorize the imaginary part;

i(y-6) = x + 3

We note that the real portion on the left hand side of the equation is zero, therefore, we have;

i(y-6) + 0= x + 3

x + 3 = 0

Therefore, x = -3

Substituting the value of x in the first equation, we have;

-3 + yi = -3 + 6i

Comparing gives;

y = 6

The expression in standard form is -3 + 6i.

4 0

4 years ago