The side of a square has the length (x-2), while a rectangle has a length of (x-3) and a width of (x+4). If the area of the rectangle is twice the area of the square, what is the sum of the possible values of x? I CAN'T ACCESS A FILE SO PLEASE JUST LOOK AT THE PICTURE YOURSELF, AND THEN TELL ME. THANKS!

Answers

Answer 1

Answer:

Sum = 4 + 5 = 9

Step-by-step explanation:

Equation

2*(x - 2)(x-2) = (x - 3)(x + 4)

Solution

2*(x^2 - 4x + 4) = x^2 + 4x - 3x - 12

2x^2 - 8x + 8  = x^2 +x - 12                     Subtract the right side from the left

x^2 - 9x + 20 = 0

(x - 4)(x - 5) = 0

The possible values for x are

x - 4 = 0

x = 4

x - 5 = 0

x = 5

Check

(4 - 2)^2 = (4) = 4

(x - 3)(x + 4) = (4 - 3)(8) = 8

This checks

(5 - 2)^2 = 3^2 = 9

(5 - 3)(5 + 4) = 2 * 9 = 18


Related Questions

What is the mode of the set of numbers?

2, 2, 3, 4, 4, 5, 7, 7, 7, 10, 16, 17

Answers

Answer:

It is 7

Step-by-step explanation:

Need this answer ASAP the last missing square says “take the square root of both sides”

Answers

Answer:

add 5 to both sides, divide by 2, take square root, subtract 3/4

Step-by-step explanation:

I think you maybe do the reverse order of operations, which is SADMEP (subtract/add, then divide/multiply, then take care of exponents and square roots, then do that same order for whatever's in parenthesis.)

i need help on this one to .

Answers

Answer:

Oh Lol i didnt even see the pic

Step-by-step explanation:

Answer:

5*2=10

10*8=80

Step-by-step explanation:

Multiply all number!!!

solve the equation 3a - 6 = -12.

Answers

Answer:

a=-2

Step-by-step explanation:

3a−6=−12

Step 1: Add 6 to both sides.

3a−6+6=−12+6

3a=−6

Step 2: Divide both sides by 3.

3a/ 3 = −6/ 3

a=−2

It’s a=2

I looked up the answer lol

7 + k = 11 step explanation

Answers

Answer:

k = 4

Step-by-step explanation:

11 - 7 = 4

Which system of inequalities has this graph as its solution?
y 10
-10
- म
5
10
-10
OA. y < 21 - 3
y OB.y > 2 - 3
y> : +4
Ocy > 21 - 3
y < = + 4

Answers

Is this real math?!

URGENT!! PLEASE help and don’t link files!!!



Find Surface Area of triangular shown.
(If you can please explain, thank you!!)

Answers

Answer:336cm cube

Step-by-step explanation:

12x4x7 i think im  justlearning this to

PLS HELP IM STRUGGLING!!!!!!

Answers

Answer:

i think ist D correct me if im wrong

Step-by-step explanation:

Answer:

22.7

Step-by-step explanation:

if ∡M is 90° then you can do:

sin 65 = h/25

h = 25(sin 65°)

h = 22.65

Express as a trinomial.
(x – 3)(3x – 8)
Please do this ASAP i need HELP

Answers

Answer:

3x^2 - 17x + 24

Step-by-step explanation:

(x – 3)(3x – 8)

3x^2 + (-8x) + (-9x) + 24

3x^2 - 17x + 24

The dot plots below display the pre- and post-test math scores for students in of Mr. Perez's
math classes.
The mean for the Pre-Test scores is 4.
The mean for the Post-Test scores is 10.
The mean absolute deviation of both tests is 2.
Describe the difference between the means as a multiple of the MAD.

Answers

Answer:

so one the MAD is wrong its actually 1 for both and

The multiple would be 4 and 10.

Step-by-step explanation:

4x1=4

10x1=10

Evaluate the following expression will give branliest
256 to the power of 5/8

Answers

Answer:

32

Step-by-step explanation:

The formula needed to solve this question by hand is:

[tex]x^{\frac{m}{n}} =\sqrt[n]{x^{m}}[/tex]

256^(5/8) = 8th root of 256^5

256^(5/8) = 8th root of 1280

256^(5/8) = 32

75/100 reduced by 10

Answers

Answer: 3/4. fraction to decimal calculator to find what's an equivalent decimal for the fractional number 3/4.

0.75 is a decimal and 75/100 or 75% is the percentage for 3/4.

Step-by-step explanation:fraction simplification calculator to find what's a reduced or simplest form for 75/100 at its lowest terms. 3/4 is a simplified fraction for 75/100

Please help me anyone any other answers would be reported

Answers

Answer:

Wait So...

Step-by-step explanation:

What Kind of Math is this?

Which is greats 1,200 mm or 12 m

Answers

Answer:

12m

Step-by-step explanation:

1m = 1000mm

12m to mm

12 × 1000

= 12000mm

1200mm to m

1200 ÷ 1000

= 1.2m

The sum of two numbers is 52 and the difference is 8. What are the numbers?

Answers

Answer:

22, 30

Step-by-step explanation:

52/2=26

26-4=22

26+4=30

30+22=52

Answer:

30 and 22

Step-by-step explanation:

This can be solved using system of equations

Let x = the bigger number

Let y = the smaller number

The sum of two numbers is 52

x + y = 52

The difference is 8

x - y = 8

x + y = 52

x - y = 8

I will solve using elimination

 (x + y = 52)

+ (x - y = 8)

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

2x = 60

/2     /2

x = 30

x + y = 52

30 + y = 52

-30         -30

y = 22

NO LINKS!! Please help me out this is causing me stresss PLSS I posted this so many times and no answer plsss be kind and help me :’) Write the slope-intercept inequality for the graph below. If necessary, use <=
fors or >= for >

Answers

Answer:

Consider this option:

1. the equation of given line is y=-x-3 (it is easy to find it using points (0;-3)&(-3;0)).

2. according to the equation of line: y≥-x-3

64 over 81= 8 over 9 what is the exponent

Answers

Answer: 64/81=8/9 is that what you trying to say. O and the answer is False

Step-by-step explanation: Hope this help :D

Can someone explain why the answer is False. Will Mark brainliest.

Answers

Answer:

Supplementary Angles are 180 degrees. A triangle has 180 degrees. One angle is already 90 degrees, so 2 more angles with 180 degrees is impossible.

Step-by-step explanation:

encontre as raízes quadradas dos números:
a)²√625
b)²√100
c)²√81​

Answers

Answer:

a.) 25, b.)10, c.)9

Step-by-step explanation:

a.) 25x25=625

b.)10x10=100

c.) 9x9=81

A waiter determines his salary for a week using the formula S = 3.75h + t, where S is his salary, h is the number of hours he works, and t is his total tips. How much does the waiter make if he works 30 hours in a week and makes a total of $538.75 in tips?

Answers

Answer:

$651.25

Step-by-step explanation:

plug your variables into your equation so,

S= 3.75(30)+ 538.75

and solve

S=112.5+538.75

S=651.25

Answer:

$651.25

Step-by-step explanation:

S = 3.75h + t

Given:

h = 30

t = 538.75

Work:

S = 3.75h + t

S = 3.75(30) + 538.75

S = 112.5 + 538.75

S = 651.25

A coffee shop recently sold 8 drinks, including 2 Americanos. Considering this data, how many of the next 20 drinks sold would you expect to be Americanos?

Answers

Answer:

5 drinks will be americanos

Step-by-step explanation:

2:8  (2/8)

simplify

1:4  (1/4)

divide 20 by 4

5:20

The number of next 20 drinks which may be Americanos is 5.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

Total drinks sold = 8

Number of drinks that is Americanos = 2

Probability of finding Americano = 2/8 = 1/4

If the total number of drinks next is 20,

Number of Americanos expected = Probability of Americanos × Number of drinks

= 1/4 × 20

= 5

Hence the number of Americanos expected is 5.

Learn more about Probability here :

https://brainly.com/question/30881224

#SPJ2

Simplify 4(8x).
A. 8x
B. 4x
C. 32x
D. 8 + 4x

Answers

Answer:

32x

Step-by-step explanation: 4(8x)=32x

(2/3)^2 without exponents

Answers

Answer:

[tex]\frac{4}{9}[/tex]

Step-by-step explanation:

[tex](\frac{2}{3} )^{2} =\frac{2^2}{3^2} =4/9[/tex]

Hope that helps :)

I Need Help ..
4. Evaluate the functions,
Let f(0) = 21-1 and 8(x) - 7-4 find
a. /(0)
b. S(1)
c. (-1)
en g(0)
f. 8(-2)

Answers

Answer: cos ( 390 ) − 4 cot ( − 45 ) sin (330 )

Step-by-step explanation: MAKE ME BRANLIEST!!!!!!

( Need help !!!!!!!!!! Pls )

Answers

That answers is everything except C. If it’s a single choice question the choose B. It’s the best answer

the sum of 2 numbers is -48 and their difference is 17.

Answers

Answer: -15.5, -32.5

Step-by-step explanation: Call the two numbers x and y, x+y=-48 and x-y=17, subtract both of them and you get 2y=31 and then divide both sides by 2 and get -15.5 for y, plug this back in the equations and get -32.5 for x, hope this helped!

5 x 100 = ? for easy points

Answers

Answer:

500! Just multiply 5 x 1 then add the remaining 2 zeros :)

Step-by-step explanation:

Thank you!

Answer:

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

[tex]5 \times 100 \\ = 500[/tex]

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

a company staff consists of 20 accountants, 12 economists and 4 secretaries. a staff is chosen at random. Find the probability that the staff is an accountant. With solution.​

Answers

Answer:

5/9

Step-by-step explanation:

Number of accountants = 20

Number of economists = 12

Number of secretaries = 4

Total number of Staffs = 20 + 12 + 4 = 36 staffs

Probability = required outcome / Total possible outcomes

Required outcome = number of accountants

Total possible outcomes = total number of staffs

P(selecting an economist) = 20 / 36 = 5 / 9

The probability that the staff is an accountant is 5/9.

Given

A company staff consists of 20 accountants, 12 economists and 4 secretaries. a staff is chosen at random.

Probability;

Probability is defined as the number of observations and total number of observation.

Total number of Staffs = 20 + 12 + 4 = 36 staffs.

The following formula is used to determine the probability;

[tex]\rm Probability=\dfrac{Accountant \ staff}{Total \ number \ of \ staff}[/tex]

Substitute all the values in the formula;

[tex]\rm Probability=\dfrac{Accountant \ staff}{Total \ number \ of \ staff}\\\\\rm Probability=\dfrac{20}{36}\\\\\rm Probability=\dfrac{5}{9}[/tex]

Hence, the probability that the staff is an accountant is 5/9.

To know more about probability click the link given below.

https://brainly.com/question/743546

1. What values of a, b, and c would you use in the quadratic formula for the following equation?
5x^2 +9x=4
A.a= -4, b = 9, c = 5
B.a=5, b= 9, c = -4
C.a=5, b= 4, c = 9
D.a= 5, b = 9, c=4​

Answers

Answer:

D

Step-by-step explanation:

because it is the answer that I think of

What is the measure of the other acute angle? Pls explain how you got your answer

Answers

Answer:

30 degrees

all triangles equal 180 degrees

90+60=150

180-150=30

Step-by-step explanation:

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