The perimeter of a quadrilateral garden is 4x2+3x-4. The first side is represented by x2+2x+15. The second and third sides are each represented by x2-x-10. What expression represents the fourth side? Write a justification of your result.

Answers

Answer 1

Answer:

[tex]y = x^{2} + 3x + 1[/tex]

Step-by-step explanation:

Perimeter equals the sum of the lengths of the sides.

Let y = the length of the fourth side

[tex]4x^{2} + 3x - 4 = x^{2} + 2x + 15 + x^{2} -x - 10 + x^{2} - x - 10 + y[/tex]

[tex]4x^{2} + 3x - 4 = 3x^{2} - 5 + y[/tex]

[tex]x^{2} + 3x + 1 = y[/tex]


Related Questions

The figure below shows two triangles on the coordinate grid:


What set of transformations is performed on triangle ABC to form triangle A′B′C′? (5 points)

Group of answer choices

A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin

A translation 5 units down, followed by a 270-degree counterclockwise rotation about the origin

A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units down

A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units down

Answers

Answer:

Option A

Step-by-step explanation:

A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin

Correct

A translation 5 units down, followed by a 270-degree counterclockwise rotation about the origin

Incorrect. It would work with 180-degree rotation.

A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units down

Incorrect. It would work with the translation 5 units up.  

A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units down

Incorrect.

A workbook is 56 pages long.If each chapter is 8 pages long, how many chapters are there?

Answers

7 pages because 56 divided by 8 is 7

Answer:

7

Step-by-step explanation:

Work book pages: 56

Each Chapter : 8

56/8=7

write the following number in standard notation (decimal) 3.5 x 10^4

PLS HELP ASAP THIS IS FOR A TEST

Answers

Answer:

35000

Step-by-step explanation:

[tex]3.5 \times {10}^{4} \\ \\ = 3.5 \times 10000 \\ \\ = 35000[/tex]

Tammy sells wedges of cheese at the local farmers' market. To make the wedges, she cuts a big 5-pound block of cheese into 16 pieces. How much does each wedge of cheese weigh?

Answers

Answer: 5/16 pound or 0.3125 pounds

Step-by-step explanation:

From the question, we are informed that in order for Tammy to make the wedges, she cuts a big 5-pound block of cheese into 16 pieces.

The weight of each wedge of cheese will be gotten by dividing 5 by 16. This will be:

= 5/16 pound

= 0.3125 pounds

Answer:

5/16

Step-by-step explanation:

Solving systems of equations using substitution y = 5x + 17. y= -2x -4

Answers

Answer:

(-3,2)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(

3
,
2
)
(
-
3
,
2
)
Equation Form:
x
=

3
,
y
=
2

7g + 4g + 3g − 13g + g = 10 please help!!

Answers

Combine like terms.


7g + 4g + 3g + g = 15g

15g - 13g = 2g


2g = 10


Divide by 2 on both sides.


g = 5

Answer: g=5

Step-by-step explanation:

Given

7g+4g+3g-13g+g=10

Combine like terms

2g=10

Divide 2 on both sides

2g/2=10/2

g=5

Hope this helps!! :)

Please let me know if you have any questions

Solve x + 5x + 6 = 0

Answers

x+5x+6=0
x+5x=6x
6x+6=0
-6 -6
6x=-6
\6. /6
x= -1
so the answer would be -1

Subtract and simplify.

3/4 - 11/20=

Answers

Answer:

1/5

Step-by-step explanation:

3/4 = 15/20

15/20 - 11/20 = 4/20

Can be simplified to 1/5

Answer: 3/4 - 11/20 = 1/5 or in decimal form 0.2

2 1/3:4 1/2 write the ratio as a fraction in simplest form

Answers

Answer:

14/27

Step-by-step explanation:

7/3 ÷ 9/2

7/3 x 2/9 = 14/27

Daniel has saved $120. This is 80% of the money he needs to buy a new skateboard.
a. How much does the skateboard cost?

b. How much more money does he need? Plz help me itd Due TODAY ​

Answers

Answer:

KSNXKSNOWOZKANZKSXKWNXKWBX

BRAINLIESTTTTT PLS ANSWERRRRR
Solve the system of equations using substitution. Show all your work.
y = 9x +34
y = 16x –29

Answers

Answer:

x=9 and y=115

Step-by-step explanation:

Solve y=9x+34;y=16x−29

Steps:

I will solve your system by substitution.

y=9x+34;y=16x−29

Step: Solvey=9x+34for y:

Step: Substitute9x+34foryiny=16x−29:

y=16x−29

9x+34=16x−29

9x+34+−16x=16x−29+−16x(Add -16x to both sides)

−7x+34=−29

−7x+34+−34=−29+−34(Add -34 to both sides)

−7x=−63

−7x

−7

=

−63

−7

(Divide both sides by -7)

x=9

Step: Substitute9forxiny=9x+34:

y=9x+34

y=(9)(9)+34

y=115(Simplify both sides of the equation)

Hope this helps :)

You have purchased a 30-pound case of lemons that has a count size of 96. About how many ounces would each lemon weigh?

Answers

Answer:

I think it would be 3.2 ounces because 96 divided by 30 is 3.2

Step-by-step explanation:


[tex] \frac{2a + b}{3} [/tex]
a=
[tex] \frac{1}{2} [/tex]
b = -4

Answers

Answer:

the value of the equation is -1

find the length of the arc intercepted by a central angle of 1.5 radians in a circle of radius 9 cm.

Answers

Answer:

13.5 cm

Step-by-step explanation:

The length of an arc depends on the radius of a circle and the central angle θ. We know that for the angle equal to 360 degrees (2π), and the arc length is equal to circumference. Hence, as the proportion between angle and arc length is constant, we can say that:

L/θ = C/2π (C = Circumference = 2πr)

L/θ = 2πr/2π,

L/θ = r,

L = r*θ = 9 cm * 1.5 = 13.5 cm

What is the slope of the line that passes through these two points (-2,4) (3,4)?

Answers

Answer:

0

Step-by-step explanation:

m=y-y1/x-x1

m=4-4/-2-3=0/-5

m=0

Use the drop-down menus to complete each statement.
Table A represents a _______
function.

Table B represents a _______
function.

Table C represents a _______
function.

Answers

Answer:

a:cubic

b:quadratic

c:linear

Step-by-step explanation:

Tables A, B, and C represent cubic, quadratic, and linear functions respectively.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
In the question, 3 functions in tabulated form is given, we draw the function on the graph then we observe that,

Table A, shows the cubic function because the graph with an increase of x  increase and decrease multiple times.

Table B, shows the quadratic function, is shows the curve as of the parabola.

Table C, shows the linear relationship, as it forms a line on the graph.

Thus, tables A, B, and C represent cubic, quadratic, and linear functions respectively.

Learn more about function here:

brainly.com/question/21145944

#SPJ2

please help me with this slope problem! :) (brainliest)

Answers

Answer:

Plot these points

(1,935)

(2,870)

(3,805)

(4,740)

(5,675)

Slope= -65

y intercept = 1000

and what it's saying is that we travel at a speed of 65 units an hour and we start 1000 miles away

Step-by-step explanation:

Just graph these points which you can get by plugging in the numbers

1000-65= 935

(1,935)

1000-65*2=870

(2,870)

1000-65*3= 805

(3,805)

1000-65*4=740

(4,740)

1000-65*5= 675

(5,675)

B:

y= mx+b where m is the slope and B is the y intercept

we can re write the equation as follows

-65x+1000

It's pretty clear that -65 is the slope and 1000 is the y intercept

A truck weighs 3.5 tons. How many pounds does the truck weigh?

Answers

Answer:

7000 pounds

Step-by-step explanation:

theres 2000 pounds in a ton

3.5tons * 2000pounds = 700 tons

5,000 pounds, which is 3.5 tons.

2.25(p − 10) − 11 = 2.5
solve for p

Answers

Answer:

p=16

Step-by-step explanation:

Which expression is equivalent to 5 ( x + 8)?

Answers

Answer:

your answer is (B) 5x-0.4

Step-by-step explanation:

The equivalent expression for the given function is -

y = 5x + 40.

What is function?

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is the expression -

5(x + 8)

We can write the equivalent expression for the given function is -

y = 5(x + 8)

y = 5x + 40

Therefore, the equivalent expression for the given function is -

y = 5x + 40.

To solve more questions on functions, visit the link below-

https://brainly.com/question/30194223

#SPJ2

please help guys, giving brainlest and points, i need two more then it is due. thank you so much love y’all so much!!

Answers

The answer is B because 33 1/3 % is 0.333333333 which will be between K and L

Convert each to a standard number:
i) 25%
ii) 43.2%
iii) 0.02214%
iv) 2%

Answers

Answer:

a

Step-by-step explanation:

Answer:

i. 1/4

ii. 54/125

iii. 1107/5000000

iv. 1/50

Step-by-step explanation:

i.

25% = 0.25

0.25 = 25/100

25/100 (GCF 25) = 1/4

ii.

43.2% = 0.432

0.432 = 432/1000

432/1000 (GCF 8) = 54/125

iii.

0.02214% = 0.0002214

0.0002214 = 2214/10000000

2214/10000000 (GCF 2) = 1157/5000000

iv.

2% = 0.02

0.02 = 2/100

2/100 (GCF 2) = 1/50


7. 8x - 4= 4(2x + 1) have how many solutions

Answers

Answer:

0

Step-by-step explanation:

Let's solve for x

8x-4=4(2x+1)

8x-4=8x+4

0= 8

This obviously isn't true and therefore there are 0 solution

Answer:

No solution as both side not equal.

i am thinking of two numbers. the first number is three more than the second number. the sum of the numbers is seven. Find the two numbers.

Please work everything out! Thank you

Answers

Answer:

2 and 5

Step-by-step explanation:

5 + 2 = 7

5- 2= 3

Please help! Will mark brainliest

Answers

283 because technically 6 and 5 and X would = 48 divid

Which relationship describes angles 1 and 2?

Answers

Answer:

Option B is your answer

Step-by-step explanation:

..

Find the perimeter of this parallelogram:
8.2 cm
6.5 cm
Find the perimeter of this triangle:
7.3cm
6.1cm
9.6cm

Answers

Answer:

parallelogram 's perimeter =2(8.2+6.5)

""" =2×14.7

... = 29.4

perimeter of triangle=7.2+6.1+9.6

""""" =22.9

9.

Write a function rule for the table.


A. f(x) = –4x

B. f(x) = 4 – x

C. f(x) = x + 4

D. f(x) = x – 4

Answers

Answer:

B. f(x) = 4 – x

Step-by-step explanation:

Answer:

b. f(x) = 4 -- X Amadodcnfnfkdi

solve for x and y in the parallelogram

Answers

Answer:

x=3

y=6

Step-by-step explanation:

Hope this helps! :)

Factor the equation.​

Answers

Answer:

[tex](5t+3), (t+3), (t-3)[/tex]

Step-by-step explanation:

Reorder terms.

[tex]5t^3+3t^2-45t-27[/tex]

Factor out the greatest common factor from each group

[tex]t^2(5t+3)-9(5t+3)[/tex]

Factor the polynomial by factoring out the greatest common factor, [tex]5t +3[/tex]

[tex](5t+3)(t^2-9)[/tex]

Factor.

[tex](5t+3), (t+3), (t-3)[/tex]

hope this helps :)

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