If vector u= (-4,8) and vector (5,-18), which vector can be added to 2u-4v to give the unit vector in the direction of the y-axis as the resultant vector?
A. w = (12, -87)
B. w = (28, -55)
C. w = (28, -87)
D. w = (12, -55)

Answer: $5000 - $250x = y (Benjamin)

$2000 + $100x = y (Corrado)

Step-by-step explanation: Benjamin is spending $250 per month. So if number of given months is x his total spending in x number of months will be $250x. Whereas his initial amount in bank was $5000 and he is withdrawing $250 each month. So the remaining amount y spent on car expenses can be calculated with the equation as follows:

$5000 - $250x = y

Benjamin's friend Corrado is depositing $100 per month. So if number of given months is x his total deposits in x number of months will be $100x. Whereas his initial amount in bank was $2000 and he is depositing $100 each month which will add in initial amount to find y the current amount of money in bank. So the total amount y saved for college fund, can be calculated with the equation as follows:

$5000 - $250x = y

Answer:

y = 679.952

Step-by-step explanation:

It is given that, the value of y varies directly with x.

y₁ = 85, x₁ = 14

[tex]y\propto x\\\\y=kx\\\\k=\dfrac{y}{x}\\\\k=\dfrac{85}{14}\\\\k=6.071[/tex]

We need to find the value of y when x is 112.

[tex]y=k\times x\\\\=6.071\times 112\\\\y=679.952[/tex]

So, the value of y is 679.952 when x is 112.

Answer:

AB = DC                         Given

AC = DB                         Given

BC = BC                         Reflexive property

△ACB = △DBC             SSS

m∠DBC = m∠ACB       CPCTC    

Step-by-step explanation:

Reflexive property basically means that something is congruent to itself

SSS means that if all 3 sides of 2 triangles are congruent, the triangles are congruent

CPCTC means C.orresponding P.arts of C.ongruent T.riangles are C.ongruent

meaning because the triangles are congruent, all the corresponding sides and angles are also congruent

Answer:

2³×3²

Step-by-step explanation;

Prime Numbers are numbers which which have only two factors the number itself and one

Examples of Prime Numbers are;

2,3,5,7,11,13,17,19,23,29,etc

To Find The Prime Factorization Of The Number 72 you'll need to follow this;

72=2×36(we have the number 36 because when it's multiplied by 2 the product is 72 and 36 is not a prime number so it has to be broken down but since 2 is a prime number you leave it as it is)

72=2×2×18(we have 2×18 because because it's give us the product of 36 when multiplied so now that we have a second prime number(2) we will have to continue to break down the number 18)

72=2×2×2×9( We again have two another 2 and 9 here because when multiplied by each other its product is 18 so as we can see 9 is not a prime number so we have to break it down but the 2 is a prime number so we let it be)

72=2×2×2×3×3( As we can see here, 3 and 3 is a prime number so nothing happens to it so we have broken the non-prime numbers down so now we have all the numbers as Prime Numbers)

So; 72=2×2×2×3×3

So we are going to count the twos and threes so as you can see we have three twos and we have two threes. Which makes our final answer;

2³×3²

So The Prime Factorization of 72 is; 2³×3²

Answer:

3 1/2

Step-by-step explanation:

Answer:

i think a

Step-by-step explanation:

becuade 4.50 per game(x) and the additional fee would be 14

Answer:

x=5/2

Step-by-step explanation:

Answer:

-0

Step-by-step explanation:

Answer:

-1   0   1   2

Its just subtraction

yes because 6÷2 is 3 and that gets you the answer

Answer:

SAS

Step-by-step explanation:

the reason that it is a sas angle is because C is in the middle and the two triangles stop at an angle to to this the angles are congruent and therefore similar

Answer:

clara had 16 but she gave half that leaves us with 8 + 4 gives u 12

x

2

+ 4 = 12 ; 16 attires  

Answer:

16

Step-by-step explanation:

a:2+4 =12

a:2=12-4

a:2=8

a=8 ×2

a=16 dresses

Step-by-step explanation:

brainliest would be super appreciated

Answer:

f = -2x -5, which is false

Step-by-step explanation:

combine like terms, f = -2x -5

-2f = 4x +10

Answer:

The Answer would be -3

Step-by-step explanation:

(-2)=4x+10

-4x=10+2

-4x=12

-3

Answer:

yes! it's correct. Congrats :)

Step-by-step explanation:

Answer:

Your answer is correct.

Step-by-step explanation:

(−1,4);(3,0)

(x1,y1)=(−1,4)

(x2,y2)=(3,0)

m= y2−y1 /x2−x1  

0−4 /3−(−1 )

−4 /4 = −1

Answer:

C = K − 273.15  !!!!!

Yes, Its the equation, since we do not have either varibles it is written out like so

Step-by-step explanation:

By simplifying both sides of the equation, then isolating the variable.

Answer: 3/4x

Step-by-step explanation:

I’m order to get the right answer it should be

y1 - y2 — 2- -4 = 6

x1 - x2 — 4 - -4 = 8

Now to get 6/8 to the simplest form, divide it by two which should give you 3/4

Answer:

A. 6x-10y+4

B.6x²-12x-15

C.24a+120

D.12g-8h+28

Answer:

10

Step-by-step explanation:

Answer:

f(-4) + 1 = 39

Step-by-step explanation:

Given f(x) = -7x + 10

f(-4) + 1 = (-7(-4) + 10) + 1 = (28 + 10) + 1 = 38 + 1 = 39.

Answer:

A balloon being filled with gas and expanding.

Step-by-step explanation:

The shape of the balloon does not change as it gets bigger but it's size grows.

Answer:

2 books in one month

Step-by-step explanation:

Answer:

2 books per month .

Step-by-step explanation :

6 divided by 3 = 2

So 1 book per month = 2 , 2 books per month = 4 , 3 per month = 6 ( counting by 2 )

Hope that helped :)

The transformation has a horizontal shift right by 1 units and vertical shift upwards by 3 units. The graph is shown below.

What do you mean by transformation of a graph ?

The modification of an existing graph or graphed equation to create a different version of the following graph is known as transformation.

The functions given are :

f(x) = x²

and

g(x) = (x - 1)² + 3

Now , we know that , the horizontal shift depends on the value of h. The horizontal shift is described as:

g(x) = f (x + h)

Then , the graph is shifted to left by h units.

and

g(x) = f (x - h)

Then , the graph is shifted to right by h units.

If we compare f(x) with g(x) , their is a difference of -1 , it meant shift is right by 1 units.

Now , we know that , the vertical shift depends on the value of k. The vertical shift is described as:

g(x) = f(x) + k

Then , the graph is shifted up by k units.

and

g(x) = f(x) - k

Then , the graph is shifted down by k units.

Here , if we compare f(x) with g(x) there is addition of 3 in g(x) , this meant the graph is shifted upward by 3 units.

The graph of the function is attached  below. Here , both of the functions are graphed.

Therefore , the transformation has a horizontal shift right by 1 units and vertical shift upwards by 3 units. The graph is shown below.

Learn more about transformation of a graph here :

https://brainly.com/question/28354259

#SPJ2

Answer:

Either a or c

Step-by-step explanation:

Sorry I'm not entirely sure.

Answer:

Well i do not think you will be able to explain a drawing but here it goes.

Step-by-step explanation:

A. You will draw the model and color it  halfway

B. You will draw a model and color it about done but -       - away from the end

C.You will draw a model and color it about -          - in.

D.You will draw a model and color it about -                         - in.

E.You will draw a model and color it  about 20% more than A but make sure its a little more like a inch or so.

Answer:

A: y=-3/4x -3

Step-by-step explanation:

1. ABCD is shifted some units down, and then some othe units left.

2. The figure is just moved, not reflected, not diluted. So the distances are preserved

3. ABCD is translated to OLMN mean that AB has been translated to OL, so length of LO=OL=AB= 6 units

The length of LO is as the length of AB which is 6 units.

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

According to the given information, the quadrilateral ABCD is translated down and left to form the quadrilateral OLMN.

As the quadrilateral is just shifted first down and then left but not changed in the dimensions thus, the dimensions of the new quadrilateral OLMN will also be the same as ABCD.

length of LO=OL=AB= 6 units

Hence, the length of LO is as the length of AB which is 6 units.

Learn more about quadrilaterals here:

brainly.com/question/6321910

#SPJ6

The complete question is;

Quadrilateral ABCD is translated down and left to form quadrilateral OLMN. If AB = 6 units, BC = 5 units, CD = 8 units, and AD = 10 units, what is LO? 5 units 6 units 8 units 10 units

Step-by-step explanation:

[tex] - 2 \times \frac{1}{2} \div 3 \times \frac{1}{2 } \\ - \frac{5}{2} \div \frac{7}{2} \\ - \frac{5}{2} \times \frac{2}{7} \\ = - \frac{5}{7} [/tex]

Answer:

2 units

Step-by-step explanation:

From the sides of the coordinate vertices PQ, you count how much coordinates on a graph it takes to get to one point as length.

Answer:

133+1728x^456

Step-by-step explanation: