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3 years ago

How many variable terms are in the expression 3x to the third power Y plus 5X to the second power plus Y +9

1 answer:

8 0

Well, variables are stuff like x and y because they can represent a number. They are variable in an equation. so if you have (3x^3)+(5X^2)+Y+9 then your variables are x X and Y (im assuming the capital X is there and not a typo) if that was a typo and meant to be lowercase, then its just a 2 variable with the x and y

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Find the unit vector in the direction of (4,-4). Write your answer in component form. Do not approximate any numbers in your ans

aniked [119]

Answer:

$(\frac{1}{\sqrt{2} }, \frac{-1}{\sqrt{2} } )$

Step-by-step explanation:

The unit vector for a nonzero vector, say u, in the direction of u is given by:

û = $\frac{u}{|u|}$ ---------------(i)

Where;

|u| = magnitude of vector u

From the question;

u = (4, -4)

First let's calculate the magnitude of u as follows;

|u| = $\sqrt{(4)^2 + (-4)^2}$

|u| = $\sqrt{16 + 16}$

|u| = $\sqrt{32}$ = $4\sqrt{2}$

Now, substitute u and |u| into equation (i) as follows;

û = $\frac{(4, -4)}{4\sqrt{2} }$

û = $(\frac{4}{4\sqrt{2} }, \frac{-4}{4\sqrt{2} } )$

û = $(\frac{1}{\sqrt{2} }, \frac{-1}{\sqrt{2} } )$

Therefore, the unit vector is $(\frac{1}{\sqrt{2} }, \frac{-1}{\sqrt{2} } )$

7 0

3 years ago

nolan uses 7 inches of string to make each bracelet. if nolan makes 3 bracelets, how many inches of string will he use?

pantera1 [17]

Answer:

21 inches

Step-by-step explanation:

We can write a ratio to solve

7 inches x inches

------------- = -------------------

1 bracelet 3 bracelets

Using cross products

7*3 = 1x

21 = x

21 inches

6 0

2 years ago

Read 2 more answers

A tree casts a shadow 12 meters long , while a bush nearby casts a shadow 3.5 meters long. If the tree is 3.2 meters tall, how t

Lynna [10]

X = height of bush
12/3.5 = 3.2/x [cross multiply]
(12)(x) = (3.2)(3.5)
12x = 11.2 [Divide 12 on both sides]
x = 0.93 m

The height of the bush is 0.93 meters.
Best of luck.

6 0

3 years ago

Which expressions are equivalent to 8(-10x+3.5y-7)? Select two options.

Novosadov [1.4K]

It should be number 2

5 0

3 years ago

Read 2 more answers

which equation represents a line parallel to the line whose equation is -2x+3y=-4 and passes through the point (1,3)?

sammy [17]

The slope of the line has to be the same the the equation given to be parallel.

The slope of the line given is... 2/3.