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

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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


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Answer:

27360

Step-by-step explanation:

38x40=1520

1520*18=27360

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Answer:

15/1/5=15*5=75.

Step-by-step explanation:

What is the image of the point. (6, – 7) after a rotation of 180° counterclockwise
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Answer:

(-6,7)

Step-by-step explanation:

The rotation is 180 degrees, so its means that the direction (clockwise vs counterclockwise) doesn't actually matter. With a rotation of 180 degrees, the preimage is switched to the opposite side of both the y and x-axis. This means that the rule for rotation around 180 is (-h,-k). Therefore, the answer will have the opposite signs. Thus. the image of (6,-7) is (-6,7).

Answer:

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Step-by-step explanation:

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Write 9 2/3 as a inpropper fraction

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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No the relationship is not a function

How many minutes is 6:45 to 9:25 ?

Answers

Answer:

It is 15 minutes from 6:45 to 7:00. From 7:00 to 9:25 it is 2 hours and 25 minutes. Note: one hour is 60 minutes.

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a) 5/8

b) 3/5

Hope this helps

Tucker rings up an item that costs $35. After sales tax, the total is $37.80. What is the sales tax percentage?

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Answer:

3 PERCENT

Step-by-step explanation:

I DID THE QUIZ

If the point (2K-3, K+2) lies on the graph of the equation 2x+y+14=0, find the value of k.?​

Answers

Answer:

k = -2

Step-by-step explanation:

Substitute 2k-3 for x and k+2 for 2

2x + y + 14 =0

2(2k-3) + (k + 2) + 14 = 0

4k - 6 + k + 2 + 14 = 0

4k + k - 6 + 2 + 14 = 0

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Please help me I don’t know how to solve this

|-4-r|=4

Answers

Answer:

r = 0 and r = -8

Step-by-step explanation:

|-4-r|=4

-4 = -4-r = 4

0 = - r = 8

0 = r = -8

When you have absolute value signs, to get rid of the absolute value signs and find the value of the term, you simply add another eqaul sign (=), and add a negative in front (- =). If it is already set to equal a negative, there isn't any solution.

|x| = 4

-4 = x = 4

So x would equal 4 and -4 for this example.

Another example:

|x|=-5

Because it's equal to a negative, the solution is automatically no solution.

The actual answer is r = 0 and r = -8

103.8 is what percent of 64? Round to the nearest thousandth

Answers

Answer:     162.1875%. Based on the given conditions, formulate: 103.8 / 64 Convert decimal to fraction:dfrac 1038/10 64Div

Step-by-step explanation:

A cloth bag contains a mix of black, white and red balls. Selecting one ball at random, the probability of getting a black ball is 0.2 , while the probability of getting a white ball is 0.5 . (a) Selecting one ball at random, what is the probability of getting a red ball ? (b) If in total there are 5 white balls in the bag, how many black balls are there ? (c) If there are in total 3 red balls in the bag, how many balls are there altogether ?
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Answers

Answer:

a) 0.3

Step-by-step explanation:

The probability of getting a red ball, the number of black balls and total balls are 0.3, 2 and 10 respectively.

What is probability?

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

Given that,

The probability of getting a black ball is 0.2.

The probability of getting a white ball is 0.5.

(a) As the bag contains only black, white and red balls, the probability of getting a red ball is,

1 - (0.2 + 0.5)

= 0.3

(a) The probability of getting white balls can be written as,

P (white ball) = Number of white balls ÷ Total number of balls

Substitute all the given values to get,

Total number of balls = 5 ÷ 0.5

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Similarly, for black balls it can be written that,

P (black ball) = Number of black balls ÷ Total number of balls

Substitute all the given values to get,

Number of black balls = 10 × 0.2

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(c) When number of red balls are three then,

P (red ball) = Number of red balls ÷ Total number of balls

Substitute all the given values to get,

Total number of balls = 3 ÷ 0.3

                                    = 10.        

Hence, the answers for all the parts are 0.3, 2 and 10 respectively.

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Step-by-step explanation:

cupcake that doesn't hold the water.

If I’m not mistaken it’s hiccup

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

round

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Answers

Y= x^2 - 4x + 6
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Question 8 (5 points)

(03.05 LC)

What is the volume of a cylinder (in cubic inches) with a radius of 6 inches and a height of 3 inches?

Use 3.14 for n. Round your answer to the nearest hundredth. (5 points)

a

339.12 cubic inches

b

56.52 cubic inches

с

100.48 cubic inches

d

113.04 cubic inches

Question 9 (5 points)

Answers

Hi there Kay,

The correct answer according to a cylinder calculator would be 339.29 cubic inches but the closest answer you have would be 339.12 cubic inches

The transformation shown is a rotation.
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Answers

Answer:

True

Step-by-step explanation:

Actually, I'm pretty sure it can also be a reflection! :) Have a good day!!!

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Equation: y = -2x + 6

(Graphed in the image below, green dots are the points given)

. A rectangular trunk has a volume of 28,600 cubic inches. The trunk is 50 inches long by 22 inches wide. What is the trunk’s height

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I’ve attached my woRk, hope it helps!

**PLEASE HELP ME**
its pre calc !

Answers

Answer:

  a32 = -80

Step-by-step explanation:

The generic term of an arithmetic sequence is ...

  an = a1 +d(n -1)

Using the supplied values for an and n, we can write two equations that can be solved for a1 and d.

  -221 = a1 +d(79 -1)

  -14 = a1 +d(10 -1)

Subtracting the second equation from the first, we have ...

  -221 -(-14) = (a1 +78d) -(a1 +9d)

  -207 = 69d . . . . . simplify

  -3 = d . . . . . . . . . . divide by the coefficient of d

Then the value of a1 can be found as ...

  -14 = a1 +(-3)(9) . . . . substitute for d in the second equation

  13 = a1 . . . . . . . . . . . add 27

__

Using our formula to find the 32nd term, we have ...

  an = 13 -3(n -1)

  a32 = 13 -3(32 -1)

  a32 = -80

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Answers

Answer:

0.111

Step-by-step explanation:

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Hope this helps :)

Have a good day / night

Step-by-step explanation:

1/9 converted to a decimal is 0.11111111111 to round it to any place if it is 5 or greater like this 0.55 rounded would be 0.6 because the second five is greater than four if not greater than four like this: 0.44 the rounded form will be 0.4 then get your answer!

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Answer:

A -2

Step-by-step explanation:

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Answer:

Step-by-step explanation:

You look at where the lines cross a point, which could be (-1,3) and (0,-2). By looking at the graph and using rise over run, your slope would be -5.

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Please help me!!

Answers

Answer:

square: 16x-8

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Step-by-step explanation:

Squares have 4 equal sides. Equilateral triangles have 3 equal sides.

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Answer:

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Step-by-step explanation:

Gina places biscuits in a circular pan in the fashion shown below. What is the area of the pan not covered by a

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E. 28.26 cm2

Answers

Answer:

that isnt the full question like what is the area of the pan and stuff

Step-by-step explanation:

how long will it take the wave to reach the shore?

Answers

The answer is the last one 0.6 sec

The bakery decides to
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kilograms of sugar will be needed?

Answers

Answer:

we need to know how many kilograms are in each corn muffin to answer that queastion

Step-by-step explanation:

we need to know how many kilograms are in each corn muffin to answer that queastion

We need to know the kilograms of the first muffin to get the idea of the final amount.

If 12 inches = 1 foot, and 3 feet = 1 yard, how many inches are there in 2.5 yards? step by step

Answers

Answer:

There are 90 inches in 2.5 yards.

Step-by-step explanation:

12 inches per foot and 3 feet per yard means 36 inches per yard.

[tex]12*3=36[/tex]

Now, just multiply 2.5 yards by 36 inches/yard.

[tex]2.5*36=90[/tex]

There are 90 inches in 2.5 yards.

Can someone please help me

Answers

Answer:

Step-by-step explanation:

1) Statements                         Reasons

ABCD is a trapezoid               Given

AD ║ BC                                  bases of trapezoid are parallel

∠AED = ∠CEB                          vertically opposite angles are equal

∠EBC = ∠ADE          alternate interior angles are equal and BD is transversal                

∠ECB = ∠EAD          alternate interior angles are equal and AC is transversal

ΔAED ~ ΔCEB            ∠ECB = ∠EAD & ∠AED = ∠BEC & ∠EBC = ∠ADE

                                all angles are same and their shape is same, so similar

2) hope you can write 2nd one as above two column proof

T is the mid point of QR

U is the mid point of QS

V is the mid point of RS

Definition: The segment of line joining the middle points of two sides of a triangle is called middle segment.

Inference: A middle segment of a triangle is parallel to the third side and its lengths is half the third side's.

so here TU ║ RV and TU = RV  

UV ║ TR and UV = TR

so TUVR becomes a parallelogram

∠TUV = ∠TRV -------->  condition 1

same goes with parallelogram TQUV

∠TQU = ∠UVT ----------> condition 2

same goes with parallelogram TUSV

∠UTV = ∠USV ------------> condition 3

from the above 3 conditions we can say

ΔQRS ~ ΔVUT

3) see the below figure for graph

in both triangles ∠B is common

AC and TS are parallel lines

BC  and BA are transversals

∠C ∠S are equal --> corresponding angles

∠A ∠T are equal ---> corresponding angles

so ΔABC & ΔTBS are similar

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