Charlie made a scale drawing of a house and its lot. The scale he used was 1 inch : 3 feet. The actual length of the backyard is 54 feet. How long is the yard in the drawing?

Answer:

2x^2+3x+3

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

STEP  1

The Equation at the end of step 1

 (3x2 +  5x) -  x2) -  2x) +  3

STEP  2

Trying to factor by splitting the middle term

2.1     Factoring  2x2+3x+3  

The first term is,  2x2  its coefficient is  2.

The middle term is,  +3x  its coefficient is  3.

The last term, "the constant", is  +3  

Step-1: Multiply the coefficient of the first term by the constant   2 • 3 = 6  

Step-2: Find two factors of  6  whose sum equals the coefficient of the middle term, which is   3.

     -6    +    -1    =    -7  

     -3    +    -2    =    -5  

     -2    +    -3    =    -5  

     -1    +    -6    =    -7  

     1    +    6    =    7  

     2    +    3    =    5  

     3    +    2    =    5  

     6    +    1    =    7  

Observation: No two such factors can be found !!

Conclusion: Trinomial can not be factored

Final result :

 2x^2 + 3x + 3

Hope this helps!

Brain-List?

Step-by-step explanation:

Answer:

Point B

Step-by-step explanation:

Inside the darkest part where both inequalities are true

Answer:

We want to solve the equation:

(6 - 1) + (3m)i = -12 + 27i

Where m is a complex number.

first, we can rewrite this as:

5 + 3*m*i = -12 + 27*i

3*m*i = -12 - 5 + 27*i

3*m*i = -17 + 27*i

And we can write m as:

m = a + b*i

Replacing that in the above equation we get:

3*(a + b*i)*i = -17 + 27*i

3*a*i + 3*b*i^2 = -17 + 27*i

and we know that i^2 = -1

3*a*i - 3*b = -17 + 27*i

The real part in the left (-3*b) must be equal to the real part in the right (-17)

then:

-3*b = -17

b = -17/-3 = 17/3

And the imaginary part in the left (3*a) must be equal to the imaginary part in the right (27)

then:

3*a = 27

a = 27/3.

Then the value of m is:

m = a + b*i = (27/3)  + (17/3)*i

Answer:

7

Step-by-step explanation:

Let number of nights spent in both the locations be [tex]x[/tex]

Airfare for Arizona for 2 persons for two way journey = [tex]95\times 4=\$380[/tex]

Airfare for New York for 2 persons for two way journey = [tex]150\times 4=\$600[/tex]

Cost of night spent in Arizona = [tex]150x[/tex]

Cost of night spent in New York = [tex]120x[/tex]

Cost of going and coming back from Arizona = [tex]380+150x[/tex]

Cost of going and coming back from New York = [tex]600+120x[/tex]

Now the costs should be equal so

[tex]380+150x=600+120x\\\Rightarrow 150x-120x=600-380\\\Rightarrow x=\dfrac{220}{30}\\\Rightarrow x=7.33\ \text{nights}[/tex]

The number of nights is approximately 7 at which the cost of the trip becomes equal.

Answer:

y = 3/8 x - 2

Step-by-step explanation:

Put 8y on the other side to get

8y + 16 = 3x

8y = 3x - 16 and thus

y = 3/8 x - 2

Answer:

its C

Step-by-step explanation:

Answer:

6)b

7)a

8)a

9)a

1)c

2)a

3)c

4)b

5)b

Step-by-step explanation:

Given A(1 , -3)

Reflection across the x -axis

= A'( 1 , 3)

Reflection across the y-axis

= A'( -1 , - 3)

Reflection across the y = x

= A' ( -3 , 1)

Reflection across the y = - x

=A'( 3 , - 1)

Hope it will help ☺

Answer: -3p^2-8p-3

Step-by-step explanation: By distributing we get, -3p^2-6p-2p-3. Then simplify accordingly.

To figure out this problem, we need to break down the steps:

-3p(p + 2) - (2p + 3)

because -3p is next to the equation in parentheses, (p + 2), you should multiply -3p into both p and 2

-3p x p = -3p² (if you multiply a variable (p) by another of the same variable with no power, it becomes squared)

-3p x 2 = -6p

so the first part of the equation went from -3p(p + 2) to -3p² -6p

and the second part of the equation has no multiplying to do

so now we add like terms!

-3p² -6p - 2p + 3

-3p² -8p + 3

order from greatest power to least power (first goes the number/variable with the highest power, then the term with a variable, and lastly the number. Right now it is currently in the correct order).

-3p² -8p + 3 is your final answer

Answer:

116

Step-by-step explanation:

x = 180 - 64 = 116

5 star, thank, and brainliest if helpful

Answer:

5

Step-by-step explanation:

when it has the two bars think of the exact opposite of that certain number and thats what it is (its called absolute value).

Answer:

12

Step-by-step explanation:

4u - 8u = -63 + 15 ( collecting like terms)

-4u = -48

u = 12

Answer:

u = 12

Step-by-step explanation:

4u - 8u - 15 = -63

Step 1: Combine 4u and -8u

-4u - 15 = -63

Step 2: Add 15 to both -15 and -63

-4u = -48

Step 3: Divide both -4u and -48 by -4

u = 12

I hope this helps! c:

Answer:

perimeter = 20.9 units

Step-by-step explanation:

perimeter

perimeter = distance around two dimensional shape

= addition of all sides lengths

distance formula:

[tex]d = \sqrt{( x_{2} - x_{1}) {}^{2} + ( y_{2} - y_{1}) {}^{2} } [/tex]

A(-3,0) B(2,4)

x1 = -3 x2 = 2

y1 = 0 y2 = 4

(substitute the values into the distance formula)

[tex]ab = \sqrt{(2 - ( - 3)) {}^{2} + (4 - 0) {}^{2} } [/tex]

[tex]ab = \sqrt{5 {}^{2} + 4 {}^{2} } [/tex]

[tex]ab = \sqrt{41} [/tex]AB = 6.4 units

B(2,4) C(3,1)

x1 = 2 x2 = 3

y1 = 4 y2 = 1

[tex]bc = \sqrt{(3 - 2) {}^{2} + (1 - 4) {}^{2} } [/tex]

[tex]bc = \sqrt{1 {}^{2} + ( - 3) {}^{2} } [/tex]

[tex]bc = \sqrt{10} [/tex]

BC = 3.2 units

C(3,1) D(-4,-3)

x1 = 3 x2 = -4

y1 = 1 y2 = -3

[tex]cd = \sqrt{( - 4 - 3) {}^{2} + ( - 3 - 1)) {}^{2} } [/tex]

[tex]cd = \sqrt{( - 7) {}^{2} + ( - 4 ){}^{2} }[/tex]

[tex]cd = \sqrt{65} [/tex]

CD = 8.1 units

A(-3,0) D(-4,-3)

x1 = -3 x2 = -4

y1 = 0 y2 = -3

[tex]ad = \sqrt{( - 4 - ( - 3)) {}^{2} + ( - 3 - 0) {}^{2} }[/tex]

[tex]ad = \sqrt{( - 1) {}^{2} + ( - 3) {}^{2} } [/tex]

[tex]ad = \sqrt{10} [/tex]

AD = 3.2 units

= AB+BC+CD+AD

= 6.4 + 3.2 + 8.1 + 3.2

= 20.9 units

Answer:

y= -7

Step-by-step explanation:

So first distribute the 8

4=8y+32-4y

now combine like terms (the -4y+8y)

4=32+4y

Subtract 32 on both sides to isolate 4y

-28=4y

now divide 4 on both sides to isolate Y

-7=y

so y= -7

Answer:

5x+12=18*5

5x=18*5-12

x=(18*5-12)/5

x=78/5

Answer:

The ordered pair that corresponds to point P is: (4, 2)

Step-by-step explanation:

It is clear from the graph that the point P is located at the location (4, 2).

In other words,

at x = 4, y = 2

It means:

The x-coordinate of the point P is: x = 4

The y-coordinate of the point P is: y = 2

Thus, the location of the point P →  P(x, y) = P(4, 2)

Please check the attached graph.

Therefore, we conclude that:

The ordered pair that corresponds to point P is: (4, 2)

Answer:

x = 70°

Step-by-step explanation:

There are two vertical and parallel lines h and i. Also, a transversal line g cuts across these parallel lines. The intersection of the transversal line and line h produces an upper right angle of 70° and bottom left angle of x°.

These angles x and 70 are vertically opposite angles, hence:

x = 70° (vertically opposite angles are equal to each other)

Answer:

70

Step-by-step explanation:

just did it on edge

Answer:

2.25

Step-by-step explanation:

divide 33.75 by 15

33.75/15=2.25

Answer:

Step-by-step explanation:

Answer:

57.09

Step-by-step explanation:

856.35/15. total amount divided by number of payments

Answer:

1 orange per half a minute (30 seconds)

Answer:

0.25 laps per minute

Step-by-step explanation:

Laps per minute is synonymous for laps/minutes. Thus, 2 laps in 8 minutes is 0.25 laps per minute. Hope this helps!!

Answer: Hope this helped(tried my best thinking what the question was asking)

x=0

y=-3

Step-by-step explanation:

(Im going to add and subtract)

Add:

14x-12y=36

14x+9y=-27

28x-3y=9

Subtract:

-14x+12y=-36

14x+9y=-27

21y=-63

y=-3 (substitute in first equation)

7x+18=18

7x=0

x=0

SO

y=-3 and x=0

Answer:

a commission of $7755

Step-by-step explanation:

original price = $275,000 x 0.94 = $258,500

258500 x 0.03 = $7755

Answer:

$7,755

Step-by-step explanation:

94% of $275,000 is $258,500

3% commission off that would be $7,755

good luck!

Answer:

point, 21 along the x-axis and 115 along the y-axis

Step-by-step explanation:

Answer:

a co-ordinate pair is what they are called

Step-by-step explanation:

21 goes on the x-axis and 115 goes on the y-axis :D

Answer:

70 square feet

Step-by-step explanation:

This is because the correct formula for this problem is: base x height

Using this formula, you first have to find the base of the trapezoid. Since the square's  base is 7 ft, and the triangle's base is 3 ft, you add these together and get 10 ft as a base. For the height, you need the square's height which is 7 ft. Then you multiply and get 70 ft.

hope this helps <3!

Answer:

1/2

Step-by-step explanation:

just count graph it will give I 1/3

Answer: 48 cases

Step-by-step explanation:

The Girls Scout Troop has an order of 48 cases of cookie and each case has 12 boxes.

They received a new order for 576 boxes of cookies.

The number of cases they will need for that additional order is:

= 576 /12

= 48 cases