All categories

3 years ago

What is the answer and show me the steps

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

8 0

Answer:

20 because

Step-by-step explanation:

you have to add all of them then ÷ by 2

You might be interested in

Solving a _____ is the process of calculating unknown side lengths or angle measures of a triangle if certain of the side length

swat32

Answer:

Triangle

Step-by-step explanation:

A triangle is a closed figure bounded by straight lines.

A triangle has three sides, three angles and three vertices.

Normally any triangle is uniquely determined by any 3 independent measures,

It may be either 2 angles one side, or two sides, one included angle, or any other detail.

By having 3 known dimensions of a triangle, to find out other unknown is known as solving a triangle.

Hence right answer is

Solving a _triangle____ is the process of calculating unknown side lengths or angle measures of a triangle if certain of the side lengths and/or angle measures are known.

6 0

3 years ago

find the orthogonal projection of v= [19,12,14,-17] onto the subspace W spanned by [ [ -4,-1,-1,3] ,[ 1,-4,4,3] ] proj w (v) = [

12345 [234]

<h2>Answer:</h2>

Hence, we have:

$proj_W(v)=[\dfrac{464}{21},\dfrac{167}{21},\dfrac{71}{21},\dfrac{-131}{7}]$

<h2>Step-by-step explanation:</h2>

By the orthogonal decomposition theorem we have:

The orthogonal projection of a vector v onto the subspace W=span{w,w'} is given by:

$proj_W(v)=(\dfrac{v\cdot w}{w\cdot w})w+(\dfrac{v\cdot w'}{w'\cdot w'})w'$

Here we have:

$v=[19,12,14,-17]\\\\w=[-4,-1,-1,3]\\\\w'=[1,-4,4,3]$

Now,

$v\cdot w=[19,12,14,-17]\cdot [-4,-1,-1,3]\\\\i.e.\\\\v\cdot w=19\times -4+12\times -1+14\times -1+-17\times 3\\\\i.e.\\\\v\cdot w=-76-12-14-51=-153$

$w\cdot w=[-4,-1,-1,3]\cdot [-4,-1,-1,3]\\\\i.e.\\\\w\cdot w=(-4)^2+(-1)^2+(-1)^2+3^2\\\\i.e.\\\\w\cdot w=16+1+1+9\\\\i.e.\\\\w\cdot w=27$

and

$v\cdot w'=[19,12,14,-17]\cdot [1,-4,4,3]\\\\i.e.\\\\v\cdot w'=19\times 1+12\times (-4)+14\times 4+(-17)\times 3\\\\i.e.\\\\v\cdot w'=19-48+56-51\\\\i.e.\\\\v\cdot w'=-24$

$w'\cdot w'=[1,-4,4,3]\cdot [1,-4,4,3]\\\\i.e.\\\\w'\cdot w'=(1)^2+(-4)^2+(4)^2+(3)^2\\\\i.e.\\\\w'\cdot w'=1+16+16+9\\\\i.e.\\\\w'\cdot w'=42$

Hence, we have:

$proj_W(v)=(\dfrac{-153}{27})[-4,-1,-1,3]+(\dfrac{-24}{42})[1,-4,4,3]\\\\i.e.\\\\proj_W(v)=\dfrac{-17}{3}[-4,-1,-1,3]+(\dfrac{-4}{7})[1,-4,4,3]\\\\i.e.\\\\proj_W(v)=[\dfrac{68}{3},\dfrac{17}{3},\dfrac{17}{3},-17]+[\dfrac{-4}{7},\dfrac{16}{7},\dfrac{-16}{7},\dfrac{-12}{7}]\\\\i.e.\\\\proj_W(v)=[\dfrac{464}{21},\dfrac{167}{21},\dfrac{71}{21},\dfrac{-131}{7}]$

6 0

3 years ago

What is the approximate average rate of change for the function f(x)

Sonja [21]

Answer:

Step-by-step explanation:

6 0

3 years ago

3/2+2m=7/2, find what the answer is

Hunter-Best [27]

Answer:

<h2>I HOPE IT HELPS ❤️❤️</h2>

7 0

4 years ago

Which equation represents the line shown in the graph below?

Mariulka [41]

The equation used to for slope intercept form is commonly used.

y = mx + b

Let us find the y-intercept first.

The place where the line crosses the y axis is 2.

y = mx + 2

Now, find the slope.

Find two points on the line, then solve.

$m = \frac{y2 - y1}{x2 - x1}$

Alright, I found two points on the line:- (-2,8) and (2, -4)

$m= \frac{-4 - 8}{2--2}$

m = -12/4
m = -3

The slope is -3. The y-intercept is 2

Lets put them into the equation

y = -3x + 2

Final answer: <span>B. y = -3x + 2</span>

5 0

3 years ago

Read 2 more answers