Which expression does the graphic represent?

Answer:    1.) x - 2y = 4 , add 2y to both sides. ---> answer is, X = 2y + 4

2.) 2x - 6y = 8, Add 6y to both sides, then divide both sides by 2. --> answer is, X = 3y + 4

Answer:

Step-by-step explanation:

1 . (4x² - 9x + 16) + (7 + 9x² - 10x)

4x² - 9x + 16 + 7 + 9x² - 10x

13x² - 19x + 23

2 . (-2x + 6) - (14x - 11)

-2x + 6 - 14x + 11

-16x +17

Answer:

the second one

Step-by-step explanation:

Answer:

x = 4

y = 1

Step-by-step explanation:

Here, we want to solve the system of equation using elimination method

We have this as follows;

3x + y = 13

4x- 3y = 13

Multiply equation 1 by 3

9x + 3y = 39

4x-3y = 13

Add the two equations

13x = 52

x = 52/13

x = 4

From equation 1;

3x + y = 13

y = 13-3x

y = 13-3(4)

y = 13-12 = 1

Answer:

225 centimeters^2

Step-by-step explanation:

SO just split the shape

Calcualte

11*14+9*9

154+81=225

-5h - 2

that's really it ;-;

Answer:

question? haven't learn this yet but try asking desmos that app helps me a lot!

Answer:

Area of triangle is 12.5

Step-by-step explanation:

We need to use the determinant method to find the area of a triangle ABC with vertices at A (1,6) B (4,2) and C (-3,3)​

The formula used is: [tex]Area=\pm \frac{1}{2}\left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\x_3&y_3&1\end{array}\right|[/tex]

We are given:

[tex]x_1=1,y_1=6,x_2=4,y_2=2,x_3=-3,y_3=3[/tex]

Putting values and finding area

[tex]Area=\frac{1}{2}\left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\x_3&y_3&1\end{array}\right|\\Area=\frac{1}{2}\left|\begin{array}{ccc}1&6&1\\4&2&1\\-3&3&1\end{array}\right|\\Area=\frac{1}{2}(1\left|\begin{array}{cc}2&1\\3&1\end{array}\right|-6\left|\begin{array}{cc}4&1\\-3&1\end{array}\right|+1\left|\begin{array}{cc}4&2\\-3&3\end{array}\right| )\\Area=\frac{1}{2}(1(2-3)-6(4-(-3))+1(12-(-6)))\\Area= \frac{1}{2}(1(-1)-6(4+3)+1(12+6))\\Area= \frac{1}{2}(1(-1)-6(7)+1(18))\\Area= \frac{1}{2}(-1-42+18)\\[/tex]

[tex]Area=\frac{1}{2}(-25)\\Area=-12.5\\[/tex]

We take mode of -12.5 i.e. |-12.5| because area can't be negative.

[tex]Now, \\Area=|-12.5|\\Area=12.5[/tex]

So, Area of triangle is 12.5

Answer:

i think it's (2, 1)

Step-by-step explanation:

Answer:

12 pencils

Step-by-step explanation:

36/6 = 6

you need to divide 36 by 6 as there are 36 pencils.

= 2 * 6 = 12

Answer:

c

Step-by-step explanation:

Answer: 40%

Step-by-step explanation:

Since 20 beings preferred Freon juice to all other juices and there were 50 people that were surveyed, the percentage of those that preferred Freon Juice will be:

= Those that preferred Freon Juice / Total number surveyed. × 10

= 20/50 × 100

= 40%

Answer:

1,10

Step-by-step explanation:

The initial point of the vector is P(2,−4) and the terminal point of the vector is Q(3,6).

Subtract the coordinates of the initial point from the coordinates of the terminal point.

PQ−⇀−=<xQ−xP,yQ−yP>

Substitute the coordinates of the given points.

PQ−⇀−=<3−2,6−(−4)>

Simplify.

PQ−⇀−=<1,10>

Therefore, the component form of vector PQ−⇀− is <1,10>.

The component form of the vector is A =  i + 10j , PQ = < 1 , 10 >

The i,j notation can be used to describe a vector. In Cartesian coordinates, the unit vectors along the axis are represented by the letters I and j, respectively.

A unit vector is a vector of length 1. It is possible to express any two-dimensional vector in the manner ai + bj.

To find the vector in component form given the initial and terminal points, simply subtract the initial point from the terminal point.

Given data ,

Let the component form be represented as A

Let the first point be represented as P

Now , the coordinates of the initial point = P ( 2 , -4 )

The coordinates of the terminal point is = Q ( 3 , 6 )

And , the vector in component form given the initial and terminal points, simply subtract the initial point from the terminal point.

So , on simplifying , we get

A = PQ = ( 3 - 2 ) i + ( 6 - ( - 4 ) ) j

PQ = i + 10j

PQ = < 1 , 10 >

Therefore , the value of A is  i + 10j

Hence , the component form is PQ = < 1 , 10 >

To learn more about component form of vector click :

https://brainly.com/question/25138765

#SPJ2

Answer:The answer is 36.

Step-by-step explanation:

Because 20% of 36 is equal to 7.2

And 36 - 7.2 = 28.80

Answer:

100/80×28.80=$36

Step-by-step explanation:

Answer:

j=38

Step-by-step explanation:

j/-2 +7=-12,  subtract 7 from both sides of the equation and you get j/-2 = -19, then you multiply j/-2 by -2/1  and multiply -19 by -2/1 to get j= 38

Answer:

Using the estimate:

The car has to go for 1,200 miles but it consumes a gallon of gasoline for every 30 miles. The number of gallons it will need is therefore:

= 1,200 / 30

= 40 gallons

Each gallon costs $3.00 so the total cost is:

= 40 * 3

= $120

Without using the estimate:

The car has to go for 1,211 miles but it consumes a gallon of gasoline for every 29 miles. The number of gallons it will need is therefore:

= 1,211 / 29

= 41.76 gallons

Each gallon costs $3.40 so the total cost is:

= 41.76 * 3.40

= $‭141.98

Using the estimate provides a lower cost of gasoline for the trip.

Answer:7

Step-by-step explanation:

21=42-3r

21-42=3r

-21=3r

r=7

Answer:

-7

Step-by-step explanation:

Answer:

Step-by-step explanation:

y-intercept⇒(0,4)

slope⇒ 2 over 1

equation⇒ y=2x+4

Answer:

B

Step-by-step explanation:

Answer:

where is the question

Step-by-step explanation:

Answer:

Just wondering, where is the question?

Step-by-step explanation:

9514 1404 393

Answer:

  opposite sides have the same slope, so it is a parallelogram

Step-by-step explanation:

A parallelogram has opposite sides that are parallel. Here, one pair of opposite sides consists of horizontal lines. Both have zero slope, so are parallel.

The other pair of lines each has a "rise" of 3 units for each "run" of 2 units, so the lines have a slope of 3/2. Both lines have the same slope, so are parallel.

Since opposite sides are parallel, the figure is a parallelogram.

Answer:

11.25

Step-by-step explanation:

7500 times 0.03 times 5 = 1125

1125 divided 100 = 11.25

simple interest formula = Amount times Rate times Time

                                                         Divide 100

Answer:

The one on the bottom right

Step-by-step explanation:

Answer:

The last one.

Step-by-step explanation:

Each y goes up by 4: 4,8,12, depending on what the x is. The y is always the x times 4 for the last table.

(I got u homie :P)

Answer:

The additional length is 3 ft

The new length of the rectangle after the increase is 15 ft and the width 13 ft

Step-by-step explanation:

The area A of a rectangle is given as

A = L * B

where L is the length of the rectangle and B is the width

As such for a rectangle 10 ft by 12 ft, the area

= 10 * 12

= 120 sq ft

If this is increased by 75 sq ft, the new area becomes

= 120 + 75

= 195 sq ft

If the length and the width are to be increased by the same amount, let this amount be x then the new length will be 12 + x and width 10 + x such that

(12 + x)(10 + x ) = 195

expand

x² + 22x + 120 =  195

x² + 22x +120 - 195 = 0

x² + 22x - 75 = 0

x² +25x -3x - 75 = 0

x(x +25) -3(x + 25) = 0

(x + 25) (x- 3) = 0

x = -25 or 3

since the additional length cannot be negative, it is 3ft.

As such the new length

= 3 + 12 = 15 ft

the new width

= 10 + 3

= 13 ft

Answer:

x = 12

Step-by-step explanation:

set up a proportion:

24 = 32

 33     32+x

24(32 + x) = 32(33)

768 + 24x = 1056

24x = 288

x = 12

Answer:

ten and eight tenths

Hope I helped! :)

Step-by-step explanation:

Answer:

E

Step-by-step explanation: