The area of rectangle ABCD is 28 cm^2

a) What is the length of side AB in terms of x?
b) If the area of rectangle ABCD is 28cm^2
we can show that x2 + ax=b
a and b are integer values.
Work out the values of a and b.

Answers

Answer 1

The length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4

A rectangle is a quadrilateral in which opposite sides are equal and parallel to each other. The area of a rectangle is:

Area = length * width

From the image:

Length of AB = x + 4

Length of BC = x + 6

The area of rectangle ABCD = Length of AB * Length of BC

28 = (x + 4)(x + 6)

x² + 10x + 24 = 28

x² + 10x = 4

Comparing with x² + ax = b gives:

a = 10, b = 4

Therefore the length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4

Find out more at: https://brainly.com/question/15019502

The Area Of Rectangle ABCD Is 28 Cm^2a) What Is The Length Of Side AB In Terms Of X?b) If The Area Of
Answer 2

The length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4

A rectangle is a quadrilateral in which opposite sides are equal and parallel to each other. The area of a rectangle is:

Area = length * width

From the image:

Length of AB = x + 4

Length of BC = x + 6

The area of rectangle ABCD = Length of AB * Length of BC

28 = (x + 4)(x + 6)

x² + 10x + 24 = 28

x² + 10x = 4

Comparing with x² + ax = b gives:

a = 10, b = 4

Therefore the length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4


Related Questions

Find the sum of 382 - 8 - 10 and 1042 +2 - 10.

Answers

Answer:

364 and 1034

Step-by-step explanation:

laura's family is going on a vacation. they will drive 4,180 miles over the next two weeks. about how many miles will they drive on average each week?

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Answer:

l auras family will drive 2090 miles watch week because you decide by 2 because there are 2 weeks

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!9

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Answer:

letter D

thank me later....

15 liters increased by 60% is ___ liters

Answers

[tex]15 \times   (1 + .6) = 24 \: \: \: liters[/tex]

it's 24 litters

hope it helps

In which quadrant is the number –14 – 5i located on the complex plane?
I
II
III
IV
In which quadrant is the number –14 – 5i located on the complex plane? I II III IV

Answers

Answer:

III

Step-by-step explanation:

go 14 left and 5 down, and you're in the third quadrant

Answer:

III (Third quadrant)

Step-by-step explanation:

Okay, in terms of complex numbers, the x axis is the imaginary scale while the y axis is the real scale. And this works just like a normal x and y axis! We can break down -14-5i into -5i and -14, and -5i is the imaginary number on the x axis, so we move five units to the left from the origin. -14 is the real number, so we then move down 14 units, and we end up with a coordinate that is in the III, or third, quadrant.  Hope this helps! :)

The price of the trail mix at the health food store is $7.50 per pound at this rate what is total cost of 8 ounces bags of trail mix

Answers

Answer:

Below

Step-by-step explanation:

1 pound = 16 ounces

Therefore if you're looking for 8 ounces, divide $7.50 in half.

You get $3.75

Answer:

At this rate, the total cost of 8 ounce bag of trail mix would be $3.75.

Step-by-step explanation:

So first I found that for 1 LB (pound), there is 16 ounces so 8 oz is half of 16. If we know that, we have to divide 7.5 by 2 to get 3.75.

Select Is a Function or Is not a Function to correctly classify each relation.

Is a Function Is not a Function
{(2, 2),(4, 4),(6, 6),(8, 8)}
Is a Function – { ( 2, 2 ),( 4, 4 ),( 6, 6 ),( 8, 8 ) }
Is not a Function – { ( 2, 2 ),( 4, 4 ),( 6, 6 ),( 8, 8 ) }
{(0, 3),(3, 5),(5, 6),(8, 4)}
Is a Function – { ( 0, 3 ),( 3, 5 ),( 5, 6 ),( 8, 4 ) }
Is not a Function – { ( 0, 3 ),( 3, 5 ),( 5, 6 ),( 8, 4 ) }
{(1, 2),(3, 3),(4, 8),(6, 3)}
Is a Function – { ( 1, 2 ),( 3, 3 ),( 4, 8 ),( 6, 3 ) }
Is not a Function – { ( 1, 2 ),( 3, 3 ),( 4, 8 ),( 6, 3 ) }
{(3, 4),(5, 2),(5, 6),(7, 3)}
Is a Function – { ( 3, 4 ),( 5, 2 ),( 5, 6 ),( 7, 3 ) }
Is not a Function – { ( 3, 4 ),( 5, 2 ),( 5, 6 ),( 7, 3 ) }

Answers

Answer:

1. Yes, is a function {(2, 2),(4, 4),(6, 6),(8, 8)}

2. Yes, is a function {(0, 3),(3, 5),(5, 6),(8, 4)}

3. Yes, is a function {(1, 2),(3, 3),(4, 8),(6, 3)}

4. No, not a function {(3, 4),(5, 2),(5, 6),(7, 3)}

Step-by-step explanation:

1. Since there is one value of y for every value of x in  {(2, 2),(4, 4),(6, 6),(8, 8)} , this relation is a function.

2. Since there is one value of y for every value of x in {(0, 3),(3, 5),(5, 6),(8, 4)}, this relation is a function.

3. Since there is one value of y for every value of x in {(1, 2),(3, 3),(4, 8),(6, 3)}, this relation is a function.

4. Since x=5 produces y=2 and y=6, the relation {(3, 4),(5, 2),(5, 6),(7, 3)}, is not a function.

1 2 3 are true the last one is not there it is.

how do i know?

well i did the test my self.

just trust me.

Graph y=-6 please please please

Answers

Answer:

Step-by-step explanation: Y=6 is 36 if u subtract from 6 and add 20 plus 7

Mrs. Coulter has 3 / 5 yard of ribbon to tie on balloons for the festival. Each balloon will need 3 / 10 yard of ribbon. How many balloons can Mrs. Coulter tie with ribbon

Answers

Answer:

I know they are not the same name but they have the same question they are the same answer

Step-by-step explanation:

#hope it helps you #happy learning

maria has $100 dollars to spend. she wants to buy a sweater for $30 and a pair of jeans for $42. she would like to spend the rest of her money on t-shirts that cost $4 each. how many can she buy?

Answers

Answer:

7 T-Shirts

Step-by-step explanation:

Given:

100 Dollar

30 = sweater

42 = Jeans

4 each = t-shirts

Solution:

30+42 = 72

100-72 = 28

28/4=7

Therefore she can buy 7 T-Shirts.

Answer:

7 shirts

Step-by-step explanation:

100 (total) - 30 (sweater) - 42 (jeans) = 28 (for shirts)

28 (money) / 4 (shirt cost) = 7 (shirts)

Assuming no tax and stuff, Maria should be able to by 7 shirts on top of her other items.

I need help i have no clue what to do!

Answers

Answer:

Step-by-step explanation:

-6x-2y= -26

3(-6x-2y)= -26*3

-18x-6y= -78

(subtract this from the first equation)

(-2x-6y)-(-18x-6y)= -14+78

16x=64

x=4

Now that we know x= 4 we can plug that into an equation and solve for y

-2(4)-6y= -14

-8-6y= -14

-6= -6y

y= 1

x=4

y= 1

(4,1)

If f(x)=6, what is x?

Answers

Answer:so: 6=6/5-x^3

6=6(5-x^3)

6=30-6x^3

-6x^3=6-30

-6x^3=-24

-6x^3+24=0

6x^3-24=0

6(x^3-4)=0

x^3-4=0

x^3=4

x=cube root 4

x=1.5874

Step-by-step explanation:

One side of a regular hexagon ABCDEF forms the side of a regular polygon with n sides.

Angle GAF = 105°. Work out the value of n. ​

Answers

Answer:

n = 8.

Step-by-step explanation:

The interior angle of a regular hexagon = 120 degrees.

So m < GAB = 360 - 120 - 105

= 135 degrees so the regular polygon has a total of 135n degrees.

Using the formula for the sum of interior angles of a polygon,

For the polygon with n sides:

Sum of interior angles = 180(n - 2)

135n = 180(n - 2)

135n = 180n - 360

45n = 360

n = 360/45 = 8.

find equation of a line containing (3,-4) and having a slope of -2. if this line contains the points(a, 8) and (5,b) find a and b

i will give brainlest for the best answers with best explanation ​

Answers

Answer:

a = - 3, b = - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute (3, - 4 ) into the partial equation

- 4 = - 6 + c ⇒ c = - 4 + 6 = 2

y = - 2x + 2 ← equation of line

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

Substitute (a, 8 ) into the equation and solve for a

8 = - 2a + 2 ( subtract 2 from both sides )

6 = - 2a ( divide both sides by - 2 )

- 3 = a

Substitute (5, b ) into the equation and solve for b

b = - 2(5) + 2 = - 10 + 2 = - 8

there is a triangle angle 1 is 9x - 8, angle to x + 10, and angle 3x + 2

Answers

Answer:

See answer below

Step-by-step explanation:

Finding the measure of each angle.

The sum of the angles in a triangle = 180°

(9x - 8) + (x + 10) + (3x + 2) =  180°

13x + 4 = 180

13x = 180 - 4

13x = 176

x = 176/13

Angle 1 = 9x - 8                     Angle 2 = x + 10                  Angle 3 = 3x +2

             = 9(176/13) - 8                        = 176/13 + 10                        = 3(176/13) + 2

             ≈ 113.8°                                   ≈   23.5°                               ≈ 42.6°

hey i need all three boxes solved please
giving 12 points

Answers

Answer:

it says 6 points not 12 points

Step-by-step explanation:

hi,please explain your answer
have a nice day​

Answers

Answer:

What grade are you my brother is good at this stuff

A line passing through the point(-10,-5) and has a slope of -1/2

Answers

y = -1/2x - 10

ex : -10 is x, -5 is y, -1/2 is slope

y = mx + b, m is slope, solving for b (y-intercept)

-5 = -1/2(-10)+b
-5 = 5 + b

try to get b by itself, so minus the positive 5

-5-5 = b, so -10 = b

which leads to y = -1/2x - 10
Adding onto what M1111707 said, here is that equation put onto a graph (as seen in the image)

1. If you were to shade all the numbers that are divisible by 2 and by 3 in this multiplication table which rows would be completely shaded? Why?

Answers

Answer:

The ones that are divisible by 6

Step-by-step explanation:

If it is even, divisible by 2

If the sum of digits is divisble by 3, it would be divisible.

These examples are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96.

You are welcome,

Kayden Kohl

8th Grade

What is the value of x?
(picture attached)

Answers

x= 48

P/s: sorry. I cant explain  

ok done.thank to me :>

x + 12 = 20 i really need help

Answers

Hello! :)

x+12=20

Move all numbers to the right, using the opposite operation:

x=20-12

x=8

Therefore, x=8

Hope it helps. Enjoy your day! :)

Do ask me if you have any question.

~An excited gal

[tex]MagicalNature[/tex] here to help


What is the value of y?
09
O 18
O 3

Answers

Answer:

The answer is 9

Step-by-step explanation:

First looking at the triangle with the 90 degree sign in it  we know that the other angles in that triangle will have to add with 90 to equal 180

So doing the easier way replace 9 with y and do this for the other numbers 3 and 18 to see if the result of (2y+18) and 4y will equal the same number

[tex](2(9)+18)=36 \\4(9)=36[/tex]

[tex](2(3)+18)=24 \\4(3)=12[/tex]

[tex](2(18)+18)=54 \\4(18)=72[/tex]

and because the lines on each triangle represent that those sides are congruent

I hope this because I am only using what I remember from geometry but please let me know if I am wrong

1) x + x + 8x + 12 =​

Answers

☆Answer :

x + x + 8x + 12 = ...

= 2x + 8x + 12

= 10x + 12

~aljabar

x + x + 8x + 12

= 1x + 1x + 8 + 12

= (1 + 1 + 8)x + 12

= 10x + 12 ✔️

:)

A beach ball has a radius of 3 inches calculate volume

Answers

Answer:

113.1 in.³

Step-by-step explanation:

V = (4/3)πr³

V = (4/3) × 3.14159 × (3 in.)³

V = 113.1 in.³


I borrow $5 from Luis and $ 8 from Stephanie.
How do I show my debt with integers.

Answers

Answer:

-5 + -8 = -13

Step-by-step explanation:

-5 + -8 = -13

in total you owe $13 but seperat it’s $5 and $8.

also you show a debt with Integers by using negative numbers.

During a closeout sale, some television models are discounted 40%. If a television is on sale for $1,485, what is the original price of the television to the nearest dollar?

Answers

Answer: it should be 70

Step-by-step explanation:

because the re adding of the dollars

$2079


1485 x 1.4 = 2079

Graph the polygon and its image after a dilation centered at C(1,1)
with scale factor k=0.5
.

J(3,1), K(5,−3), L(5,5), M(3,7)

Answers

Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The original polygon is highlighted in red and the image is highlighted in blue.

DIlations are defined by the follwing operation:

[tex]P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)][/tex] (1)

Where:

[tex]O(x,y)[/tex] - Center of dilation.[tex]k[/tex] - Dilation factor.[tex]P(x,y)[/tex] - Original point of the polygon.[tex]P'(x,y)[/tex] - Dilated point of the polygon.

If we know that [tex]O(x,y) = (1,1)[/tex], [tex]k = 0.5[/tex], [tex]J(x,y) = (3,1)[/tex], [tex]K(x,y) = (5, -3)[/tex], [tex]L(x,y) = (5,5)[/tex] and [tex]M(x,y) = (3,7)[/tex], then the coordinates of the new polygon are:

[tex]J'(x,y) = (1,1) + 0.5\cdot [(3,1)-(1,1)][/tex]

[tex]J'(x,y) = (1,1)+0.5\cdot (2,0)[/tex]

[tex]J'(x,y) = (1,1) +(1,0)[/tex]

[tex]J'(x,y) = (2,1)[/tex]

[tex]K'(x,y) = (1,1) + 0.5\cdot [(5,-3)-(1,1)][/tex]

[tex]K'(x,y) = (1,1) +0.5\cdot (4,-4)[/tex]

[tex]K'(x,y) = (1,1) +(2,-2)[/tex]

[tex]K'(x,y) = (3,-1)[/tex]

[tex]L'(x,y) = (1,1) + 0.5\cdot [(5,5)-(1,1)][/tex]

[tex]L'(x,y) = (1,1) + 0.5\cdot (4,4)[/tex]

[tex]L'(x,y) = (1,1) + (2,2)[/tex]

[tex]L'(x,y) = (3,3)[/tex]

[tex]M'(x,y) = (1,1) + 0.5\cdot [(3,7)-(1,1)][/tex]

[tex]M'(x,y) = (1,1) +0.5\cdot (2,6)[/tex]

[tex]M'(x,y) = (1,1) +(1,3)[/tex]

[tex]M'(x,y) = (2,4)[/tex]

Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The original polygon is highlighted in red and the image is highlighted in blue.

We kindly invite to check this question on dilations: https://brainly.com/question/13176891

PLEASE HELP ME INSTANTLY I WILL GIVE A BRAINLY AND A THANKS

Answers

Answer:

1.the first one is the distance from home

2. is 91

3.increases by 91 i belive tht should be correct

Step-by-step explanation:

Plzzzzz help meeeeeeee plzzzzz

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Answer:

1) The profit made is $560.

2) Don't know sorry!!

3) A student will pay $1134 for a calculator.

Step-by-step explanation:

Please help!!!!!!!!!!!

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Answer:

10. right triangle 11. obtuse triangle 12. right triangle 13. right triangle

Step-by-step explanation:

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