Given the vectors w = <-5, 3> and z = <1, 4>, find the results of the vector subtractions. -w − z =

Answer:

2nd option

Step-by-step explanation:

To find g(f(x)) , substitute x = f(x) into g(x)

g(x + 3) = [tex]\sqrt{x+3}[/tex] + 7

Answer:

To find g(f(x)) , substitute x = f(x) into g(x)

g(x + 3) = \sqrt{x+3}

x+3

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Question reads \underline{\underline{What is the \boxed{\large\text{DIFFERENCE}} between -5 \& 3}} ?}[/tex]

[tex]\large\text{Fun fact: you can use a number line to find your result as well.}\\\large\text{For example in this equation you START at -5 and move down 3}\\\large\text{spaces to your left}[/tex]

[tex]\large\text{REMEMBER: we said difference means \boxed{\large\text{subtract}}, so we have to}\\\large\text{\underline{subtract} both numbers from each other to find their differences.}[/tex]

[tex]\large\text{-5 - 3}\\\large\text{= \bf -8}[/tex]

[tex]\large\text{So, the DIFFERENCE between -5 \& 3 is \boxed{\bf -8}}[/tex]

[tex]\boxed{\boxed{\huge\text{The difference is: \boxed{\bf -8}}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

y=1 and x=2

Step-by-step explanation:

Add the two linear equation and you will have 2y=2, y=1. Plugging this in any equation, we have x=2

Answer:

The solution is (2,1)

Step-by-step explanation:

Set the two equations equal

y=3x-5 and y=-3x+7

3x-5 = -3x+7

Add 3x to each side

3x-5+3x = -3x+7+3x

6x-5 = 7

Add 5 to each side

6x-5+5 = 7+5

6x = 12

Divide by 6

6x/6 = 12/6

x=2

Now find y

y =3x-5

y=3(2)-5

y = 6-5

y=1

The solution is (2,1)

Answer:

Use this rule : cosx = sin (90 - x)

sin( x -70) = sin (90 - x)

x-70 = 90 - x

2x = 160

x = 80

The perimeter of a shape is the summation of the visible lengths of the shape. The area; however, is the product of the length and the width of the shape

The perimeter of the figure is 74cm and the area of the figure is 231 square cm

I've added shape as an attachment.

The perimeter is the sum of all side lengths. So, we have:

[tex]Perimeter = 6cm + 7cm + 15cm + 9cm + 21cm + 16cm[/tex]

[tex]Perimeter = 74cm[/tex]

To calculate the area, we split the shape into 2.

The first has the following dimension:

[tex]Length = 6cm[/tex]

[tex]Width = 7cm[/tex]

While the second has the following dimension

[tex]Length = 21cm[/tex]

[tex]Width = 9cm[/tex]

The area of the shape is:

[tex]Area = 6cm \times 7cm + 21cm\times 9cm[/tex]

[tex]Area = 231cm^2[/tex]

Hence, the shape has a perimeter of 74cm and an area of 231 square cm

Read more about area and perimeters at:

https://brainly.com/question/11957651

The ratio for Nine people fit comfortably in a 3ft by 3ft area is [tex]\frac{9}{3X3}[/tex]

Option C [tex]Ratio =\frac{9}{3X3}[/tex]

Size of crowd: [tex]\frac{9}{3 \cdot 3} \cdot 24 \cdot 5280[/tex]

Given :

Nine people fit comfortably in a 3 ft. by 3 ft. area

To find : we need to estimate the size of a crowd that is 8 feet deep and 1 mile long. we need to determine the ratio as well

Ratio = number of people / total area

[tex]Raio=\frac{9}{3X3}[/tex]

To find the size of the crowd , convert yards into feet and mile into feet

1 yard = 3 miles

8 yards= 3 times 8 = 24 feet

1 mile = 5280 feet

Now we find the area in feet

[tex]24 \cdot 5280[/tex]

size of the crowd=ratio times the area in feet

[tex]\frac{9}{3 \cdot 3} \cdot 24 \cdot 5280[/tex]

Learn more : brainly.com/question/24367786

Answer:

40

Step-by-step explanation:

u can draw a line at point c parallel to line ab

angle at d and lower part of c is interior angle so u can find the value at lower part of c that is 180-145=35

so point c 75-35=40 is upper part of point c

upper part of c and angle b is alternate angle so both angle are the same

angle cba is 40

Answer:

<CBA = 40°

Step-by-step explanation:

If AB is parallel to DE, you can make an irregular pentagon by continuing AB and drawing a line perpendicular to DE.  The sum of the interior angles of a pentagon is 540.  You can use this to solve for the supplement of <CBA, then subtract that from 180.  (I’m sure there’s an easier way, but I cant think of one right now).

540-90-90-145-75=x

140=x

<CBA=180-140= 40°

Answer:

plotting the (x,y) coordinates in graph

Answer:

2¼ mph

Step-by-step explanation:

It takes ⅓hour to walk to the library.

⅓ •3 = 1 hour

¾ • 3 = 9/4 = 2¼ miles/hour

Answer:

A picture that is 46cm by 32 cm must fit in a space that is 3m by 2m

First, let's rewrite both of these dimensions in the same units.

Knowing that:

1m = 100cm

Then the dimensions of the space can be rewritten from:

3m by 2m

to:

300cm by 200cm

So, if we enlarge our original picture by a scale factor K, the new dimensions of the picture will be:

K*46cm by K*32cm

Now we just need to find a value of K such that:

K*46cm is something near to 300cm

K*32cm is something near to 200cm

First, we can solve the equation:

K*46cm = 300cm

solving this for K we get:

K = 300cm/46cm = 6.5

While if we solve the equation:

K*32cm = 200cm

we get:

K = 200cm/32cm = 6.25

So we got two possible scale factors.

Which one we should take?

Notice that if we wanted to use the larger one (K = 6.5) for the 32cm side. the new length would be:

32cm*6.5 = 208cm

This is larger than the 200cm of space that we have

Then we can not select the larger option, we can only take the other value:

K = 6.25

Then we can conclude that a reasonable scale factor to use is K = 6.25

Answer:

9.013 square units

Step-by-step explanation:

Step-by-step explanation:

[tex]3x + 3x + 1 + 3x + 2 = 39 \\ 9x + 3 = 39 \\ 9x = 39 - 3 \\ 9x = 36 \\ x = \frac{36}{9} \\ x = 4[/tex]

Answer:

x = 4

Step-by-step explanation:

combine all of the 3x first to get:

9x + 1 + 2 = 39

9x + 3 = 39

subtract 3 from both sides:

9x = 36

divide by 9

x = 4

Answer:

4 tacos

Step-by-step explanation:

according to the converse of triangle proportionality theorem, 7 beans is equivalent to 5 bananas, so if we took 2 away we would be left with 4 tacos, not apples because an apple a day keeps the doctor away and we are in a pandemic right now

Answer:

option D is false it's not parallelogram

Answer:

Step-by-step explanation:

A

Answer:

C.

Step-by-step explanation:

Media literacy encompasses the practices that allow people to access, critically evaluate, and create or manipulate media.

Answer:

you can use brainly because the ppl on here are smarter than all of us and they also explain how to solve answer so you can focus really hard to understand heh

Answer:

A fruit seller bought 160 kg of apples at Rs. 32 per kg. He sold one fourth of them at Rs. 40 per kg and sold the rest at Rs. 31 per kg. Find his profit or loss.

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Answer:

Step-by-step explanation:

The equation for an arithmetic sequence is

[tex]a_n=a_1+d(n-1)[/tex]  where n is the position of the number in the sequence, a1 is the first number in the sequence, and d is the difference between the numbers in the sequence.

Our first number is 2, so a1 = 2; to get from 2 to 5 we add 3, to get from 5 to 8 we add 3. That means that d = 3. Filling in the standard form of the equation:

[tex]a_n=2+3(n-1)[/tex] which simplifies to

[tex]a_n=2+3n-3[/tex] and a bit more to

[tex]a_n=3n-1[/tex] (which should tell you that arithmetic sequences are lines!)

Finding the 13th number simply requires that we replace n with 13 and solve:

[tex]a_{13}=3(13)-1[/tex] so

[tex]a_{13}=38[/tex]

Answer:

38

Step-by-step explanation:

This isn't the most efficient way but it's the best I can do.

2, 5, 8, 11....

The pattern is that we add 3 every time.

2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38,

1 , 2, 3, 4, 5,  6,   7,    8,    9,   10,  11,   12,  13

We can see that 38 is the 13th term of the sequence.

Answer:

54 square units

Step-by-step explanation:

144 - 18 - 4(18) = 54 square units

Answer:

"A" seems to be incorrect....

Step-by-step explanation:

"A" seems to be incorrect....

[tex]\frac{\left(\sin \left(60^{\circ \:}\right)\cdot \:300\right)}{\sin \left(90^{\circ \:}\right)}=150\sqrt{3}\quad \begin{pmatrix}\mathrm{Decimal:}&259.80762\dots \end{pmatrix}[/tex]

Exterior Angle property = sum of interior opposite angle is equal to the exterior Angle

x= 48+96

x= 144°

Answer:

144°

Step-by-step explanation:

x is an exterior angle of the triangle.

Angles 96° and 48° are interior angles of the triangle that are not adjacent to angle x. Angles 96° and 48° are called the "remote interior angles" of exterior angle x.

Theorem:

The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

x = 48 + 96

x = 144

Answer: 144°

Answer:

x= 16

4x+21 = 85 degrees

Step-by-step explanation:

The angles shown are vertical angles and vertical angles are equal

85 = 4x+21

Subtract 21 from each side

85 -21 = 4x+21-21

64 = 4x

Divide by 4

64/4 = 4x/4

16 = x

Answer:

16degrees

Step-by-step explanation:

As these angle are (vertically opposite angles)

So,85=4x+21,

85-21=4x

x=64/4

x=16degrees

Answer:

4 cars and 5 buses

Step-by-step explanation:

245÷ 45=5.4

45×5=225

245-225=20

20÷5=4

9514 1404 393

Answer:

  a) 6.4 m

  b) 5.7 m

  c) 6.3 m

  d) 6.0 m

Step-by-step explanation:

The benefit of using a spreadsheet for repetitive calculations such as these is that it can also help with the addition/subtraction necessary to find the length not given directly.

In the attached, the "a" length is the one requiring arithmetic; the "b" length is given directly on the diagram, and the "c" length is the hypotenuse of the right triangle with legs "a" and "b". "c" is the direct distance from A to B.

For example, consider figure (a). The horizontal distance from A to B is 10 m-6 m = 4 m. In the attached spreadsheet that difference is entered in row 'a', column 'a' as "=10-6". The length "c" is computed using the Pythagorean theorem:

  c² = a² +b²

  c = √(a² +b²)

For figure (a), this is ...

  c = √(4² +5²) = √41 ≈ 6.4 . . . meters

This question is solved using range and domain concepts. Doing this, it is found that:

--------------------------------------

--------------------------------------

Thus:

A similar question is given at https://brainly.com/question/18141895

Answer:

30 feet

Step-by-step explanation:

The molding needed would be equal to the perimeter of the kitchen floor. The perimeter of the kitchen floor is 2*(9+6)=30 feet

A kitchen floor is 9 feet long and 6 feet wide of rectangle, then the perimeter of the kitchen floor is 30 feet.

For a rectangle with length and width L and W units, we get:

Perimeter of the rectangle = 2(L + W) \: \rm unit

A kitchen floor is 9 feet long and 6 feet wide is given.

The molding needed would be equal to the perimeter of the kitchen floor.

The perimeter of the kitchen floor = 2 (9+6)

The perimeter of the kitchen floor = 30 feet

Therefore, A kitchen floor is 9 feet long and 6 feet wide of rectangle, then the perimeter of the kitchen floor is 30 feet.

Learn more about the perimeter;

https://brainly.com/question/4762047

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