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

On Saturday, a local hamburger shop sold a combined total of 261 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Saturday?

Answers

Answer:

134 hamburgers

Step-by-step explanation:

Let H = # of hamburgers 

# of cheeseburgers = 2H

H + 2H = 402

3H = 402

H = 402/3

H = 134

Select all the expressions that have a value 10

Answers

can you provide more detail

A person visits the store and picks up five kg vegetables for did he buy?
£6.25. Which vegetable
Tomato - £1.50 per kg Carrot - £1.75 per kg Cabbage - £2 per kg Beetroot - £1.25 per kg

Answers

the answer is beetroot


Just look at the picture

Answers

Answer:

I believe it is 60

Step-by-step explanation:

It's going to be COS and since you don't have and angle you are going to click [tex]cos^{-1}[/tex] and then type in 9/18 so it should look like this

[tex]cos^{-1}(9/18) = 60[/tex]

Find the area of ​​the painted part of the image below. (Units in m)

Answers

Answer:

11 meters square.

Step-by-step explanation:

if the painted area is the gray it would be 10m

if its the white area its 9m

(450) + (28.75x) = 967.50
solve for x

Answers

Answer:

18

Step-by-step explanation:

Hello,

In order to solve for x, we need to isolate the variable on one side of the equation.

To do this, we subtract 450 from both sides of the equation, and this will give you:

28.75x = 517.5

As mentioned, we need to isolate x, so we divide both sides by 28.75. This will give the following.

x = 18

Hope this helps!

What is the fraction that is equal to 0.534

Answers

Answer:

267/500

Step-by-step explanation:

0.534 = 534 / 1000

Simplify to 267/500

Step-by-step explanation:

537/1000

this is the correct answer

Martin is considering the expression 1/2(7x+48)and -(1/2x-3)+4(x+5)​

Answers

Step-by-step explanation:

1/2(7x+48) = 7x ÷2 +48÷2 = 7x÷2 + 24

and

-(1/2x-3)+4(x+5) = 7x ÷2 + 46÷2 = 7x÷2 +23

Jamal uses the line of best fit y = 700x + 38,000 to predict his annual salary, y, after x years.

What is the y-intercept of the line of best fit and what is the meaning of the y-intercept?

Answers

The y intercept should be 38,000

y=mx+b

B, the last variable is the y-intercept.

The y-intercept is n intercept is a point on the y-axis, through which the slope of the line passes and the y-intercept of the given equation is 38,000.

What is a y-intercept?

In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.

The given equation is y=700x+38,000 to predict his annual salary, y, after x years.

In the given equation, y-intercept is 38,000.

Therefore, the y-intercept is n intercept is a point on the y-axis, through which the slope of the line passes and the y-intercept of the given equation is 38,000.

To learn more about the y-intercept visit:

brainly.com/question/14180189.

#SPJ2

d) Vegetable ghee is stored in a rectangular vessel of internal dimensions
60 cm x 10 cm x 45 cm. It is transferred into the identical cubical vessels. If the
internal length of each cubical vessel is 10 cm. how many vessels are required to
empty the rectangular vessel?​

Answers

27 vessels

Step-by-step explanation:

get the volume of the rectangular vessel 60cm ×10cm ×45cm giving you 27000cm3.Find volume of one of the cube 10cm×10cm×10cm giving 1000cm3.

if 1 cube =1000cm3

? = 27000cm3

27000cm3× 1cube

1000cm3

di

vide then get your answer as 27 vessels

Which of the following could be used to calculate the total surface area of the figure?

Answers

Answer:b

Step-by-step explanation:

Find the area of the figure

Answers

Answer:

A=153.94

Step-by-step explanation:

Select all the true sentences!!!

Answers

Answer:

only the 1st is true

Step-by-step explanation:

the rest are wronf

First is correct

...............

A tangent-tangent angle intercepts two arcs that measure 124 degrees and 236 degrees what is the measure of the tangent-tangent angle

Answers

Answer:

It can be calculated by finding the difference between the two angles. Half of this difference will be the angle that is required.

Therefore

236 - 124 = 112

Tanget-tanget angle = 112 / 2 = 56 degrees

A spherical globe has a diameter of 10 inches. What is the approximate volume of the globe?

Answers

Answer:

523.33 in^3

Step-by-step explanation:

A sphere is a 3-dimensional version of a circle. An example of a sphere is a ball

Volume of a sphere = [tex]\frac{4}{3}[/tex]π[tex]r^{3}[/tex]

Where

π = 3.14

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

diameter = 2r

Radius = 10 in / 2 = 5 inches

[tex]\frac{4}{3}[/tex] × 3.14 ×[tex]5^{3}[/tex] = 523.33 [tex]in^{3}[/tex]

Evaluate the expression: 2y-9 when y = 3

Answers

Answer:

-3

Step-by-step explanation:

2·3-9

6-9 = -3


What is the theoretical probability of rolling a 3 on a die?

Answers

Answer:

1/6 or 16.67% chance

Step-by-step explanation:

Assuming its a normal six sided dice. You would have a 16.67% chance of getting a 3.

Alan set his watch 13 seconds behind, and it falls behind another 1 second every day. How
many days has it been since Alan last set his watch if the watch is 35 seconds behind?

Answers

it would be 22 days.

31 additional days, getting behind by 31 seconds; this, added to the original 4 sec behind, gives you a total 35 seconds behind.

 

Now, that really isn't complicated, right?

Joe earns a monthly salary of 250 plus a commission on his total sales. Last month his total sales were $7,289 and he earned a total of $1,275. What is his commission rate?

Answers

Answer: Joe earns a monthly salary of 250 plus a commission on his total sales. Last month his total sales were $7,289 and he earned a total of $1,275. What is his commission rate?

Step-by-step explanation:  

250 + $7,289 + $1,275 = 8814

f ( x ) = − x 2 − 12 Find f ( − 3 )

Answers

Answer:

f(-3)=-21

Step-by-step explanation:

f(x)=-x2-12

f(-3)=-(-3)2-12

f(-3)=-9-12

f(-3)=-21

Answer:

-3

Step-by-step explanation:

x=-3 substitute in the equation

+3 squared-12=-3

y = 3x - 5 and y = 4x.

Answers

Answer: x = -5

New Equation (after substituting) 4x = 3x - 5

Subtract 3x from both sides

x = -5

Factor this expression completely and then placed the factors in the proper location on the grid. Note: please factors alphabetically in the grid!

ab + 4 + a + 4b

PLEASE ANSWER, WILL MARK BRAINLYEST!

Answers

Answer:

(a + 4)(b + 1)

Step-by-step explanation:

ab + 4 + a + 4b

Rearrange the expression to find the GCF.

ab + a + 4b + 4

Now find the GCF.

a (b + 1) + 4 (b + 1)

Divide the whole thing by b+1

(a + 4)(b + 1)

A certain bacterium has an exponential growth rate of 25% per day. If we start with 0.5 gram and provide unlimited resources, how many bacteria can we grow in 2 weeks? Round to the nearest tenth of a gram. HINT: How many days are in a week?

Answers

Answer:

FV= 11.369 gr

Step-by-step explanation:

Giving the following information:

Growth rate (g)= 25% per day

Number of periods (n)= 14 days

Present Value (PV)= 0.5 gr

To calculate the Future Value(FV) in grams, we need to use the following formula:

FV= PV*(1+i)^n

FV= 0.5*(1.25^14)

FV= 11.369 gr

PLS hurry!! I'LL MARK BRAINLIEST!

Answers

Answer:

A. 5+x-12=2x-7

-7+x+2x-7

x=2x

x-2x=0

-x=0-> x=0

B.

when X=-0.5

5+(-0.5)-12=2 (-0.5)-7

-7.5=-8 (answer does not work)

when X=0

5+0-12=2(0)-7

-7=-7 (answer works)

when x=1

5+1-12=2(1)-7

18=-5 (answer does not work)

Step-by-step explanation:

Answer:

[tex]x=0[/tex]

Step-by-step explanation:

A) From this case you would need to narrow down the whole equation...

Like this: [tex]5+x-12=2x-7[/tex]  →  [tex]x-7=2x-7[/tex]  →  [tex]x=0[/tex]

B) To prove that one of these numbers solve the equation, we would have to check it ourselves.

Like this: [tex]5+(-0.5)-12=2(-0.5)-7[/tex]  →  [tex]-7.5=-8[/tex] (SO THIS WON'T WORK)

[tex]5+0-12=2*0-7[/tex]  →  [tex]0=0[/tex] (THIS WORKS!)

[tex]5+1-12=2(1)-7[/tex]  →  [tex]-6=-5[/tex] (NOR DOES THIS WORK)

Therefore: [tex]x=0[/tex] will work to solve the equation correctly

Describe a quadrillateral and a hexagon by the number of vertices it has.

Answers

The main difference between Hexagon and Quadrilateral is that the Hexagon is a polygon with six sides and Quadrilateral is a polygon with four sides. In geometry, a hexagon (from Greek ἕξ hex, "six" and γωνία, gonía, "corner, angle") is a six sided polygon or 6-gon.

25 POINTS - Need ASAP . Answer word problem attached.

If you answer just for points I won’t hesitate to report so don’t try pls!

Answers

Answer:

0.82

Step-by-step explanation:

82/100 as a fraction is equal to 0.82

0.82 is the answer to ur question

F is a function that describes a sequence and is therefore defined over the positive
integers. Find the first four terms of the sequence.
f(n) = 100(-0.1)n-1

f(0) = -1000, f(1) = 100, f (2) = -10, f(3) = 1
f(1) = -10, f (2) = 1, f (3) = -0.1, f (4) = 0.01
f(1) = 100, f (2) = 10 f(3) = 1, f (4) = 0.1
f(1) = 100, f (2) = -10, f(3) = 1, f (4) = -0.1

Answers

Answer:

Suppose we add up alternate Fibonacci numbers, Fn-1 + Fn+1; that is, what do ... L(1)=1 and L(3)= 4 so their sum is 5 whereas F(2)=1; L(2)=3 and L(4)= 7 so their ... What is the relationship between F(n-2), and F(n+2)? You should be able to find a ... Fib(N); K (an EVEN number!), Lucas(K) and Fib(K) in each expression like ...

Step-by-step explanation:

A company is designing a new cylindrical water bottle the volume of the bottle by 204 cm the height of the water bottles 8.9 cm3 what is the radius of a water bottle use 3.14 for pie

Answers

Answer:

2.70cm

Step-by-step explanation:

Given data

Answer:

2cm

Step-by-step explanation:

Given data

Capacity/volume= 204 cm

Height= 8.9 cm

Required

The radius r

let us apply the expression for the volume of a cylinder

V=πr^2h

204=πr^2*8.9

204=3.14r^2*8.9

r^2= 204/27.946

r^2=7.30

r= √7.30

r=2.70cm

Hence the radius is 2.70cm

Please help!!! I'll mark you as brainliest!!!!


What is 0.504854369 as a percentage rounded to the nearest tenth

Answers

0.504854369 as a percentage would be 50.4854369%

easiest way to remember: a percentage is a decimal rounded 2 decimal places to the right

rounded to the nearest tenth, the percentage will be 50.5%

if u need more help tell me

la suma de los tres terminos de una sustraccion es 720. calcula el minuendo

Answers

Answer:

i dont know

Step-by-step explanation:

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