A rectangle has an area of 12x²+17x-5mm². For what value of x is the rectangle a square? What is the area of a square? Justify your answer and show your work. A=12x²+17x-5mm²

Answers

Answer 1

Answer:

23mm

528 mm^2

Step-by-step explanation:

The area of a rectangle is given as  the product of its length and width.

Given that 12x²+17x-5mm² is the area

factorize

12x²+17x-5 = 12x²+20x -3x-5

= 4x(3x+5)-1(3x+5)

= (3x+5)(4x-1)

For the rectangle to be a square, it means that the sides 3x+ 5 and 4x - 1 are equal. Hence

3x + 5 = 4x -1

collect like terms

3x - 4x = -5 -1

-x = -6

x = 6

substitute into the sides

3x + 5 = 3(6) + 5 = 23

4x -1 = 4(6) - 1 = 23

The area of the square which is a product of the sides

= 23 * 23

= 529


Related Questions

A cut is made to the shape shown below at an angle from the top of the shape to the base of the shape. What is the shape of the cross
section that results from the cut?
A square
B. parallelogram
C. rectangle
D. triangle

Answers

Answer:

square

Step-by-step explanation:

why is this labeled high school this is so simple

Please answer this below Question # 15

Answers

Answer:

[tex]c. \: 5x - 2y = 10 \\ \: \: \: \: \: 10x - 4y = 20 \\ [/tex]

You are planning to retile the walls around your bathtub. You measure the dimensions of the wall and find that the length of the tub is 7 feet, the width of the tub is 2 feet and the height of the wall is 5 feet. You go to the hardware store to pick out some tile. You find ones that you like. There are 4 sizes of tile and are priced differently. The prices are 1 square inch tile is 10 cents, 6 square inch tile is 25 cents, 8 square inch tile is 75 cents and 18 square inch tile is $1.50. Find the best deal (price) for tile in order to tile your bathroom. How much will you spend? Why is this the best deal? Show ALL OF YOUR WORK and explain how you found the answer.​

Answers

Answer:

it is the best deal cause i said

Step-by-step explanation:

can the equation ( y1 - y2 and x1- x2) ALSO go (y2-y1 and x2- x1)

why?​

Answers

Yes they can be switched because the numbers are going to be the same no matter what. Even if you switch the coordinates you will have to do the same operation. Thus, proving that the equation can be alter, yet will have the same results.

Drag each graph to the correct location on the table.
The points on the graphs represent relations. Classify these relations according to whether or not they are functions

Answers

Answer:

Functions: Second Graph

Not functions: first and third graph

Step-by-step explanation:

The first and third graph are not functions and the second graph is a function. Use the vertical line test. I'm 100% sure.

By the vertical line test, it's clear that graph first will not be a function, second will be a function and third will also not be a function.

What is the e-test?

A vertical line test is a test to determine whether a given function is a function or not.

In the vertical line test, we draw a vertical line on every x's point if the line intersects with only a single value of corresponding y then it will be a function otherwise not.

In the first given function if we draw a vertical line at x = 2 then it gave different values corresponding to y hence,  it will not a graph.

In the second given function by drawing a vertical line, it gave a single unique value so it will be a function.

In the third given function if we draw a vertical line at x = 1 and 2 then it gives different values corresponding to y hence,  it will not be a graph.

For more about vertical line tests

https://brainly.com/question/4187768

#SPJ5

v) Find the perimeter of the rectangle whose length is 60m and breadth is 55m
vi) Find the perimeter of a square room with side equal to 8m each.

Answers

Answer:

Step-by-step explanation:

l = length

b = breadth

We know the length is twice the breadth, therefore l = 2b

We also know that the perimeter p = 60m and can also be expressed as a sum of its sides where p = l + l + b + b = 60 which simplified is:

60 = 2l + 2b

Now we have 2 variables, but thankfully we were given a ratio (l = 2b) relating the two. Substituting 2b in for l gives us:

60 = 2(2b) + 2b = 4b + 2b = 6b

60 = 6b

b = 10 m

Now that we know the breadth we can find the length:

l = 2b → l = 2(10) = 20 → l = 20 m

With a breadth of 10 m and a length of 20 m

Help me with this question please ;(

Answers

Answer:

I wish I could help  but i did not learn this  yet

Step-by-step explanation:

What is the cosine equation of the function shown?​

Answers

Answer: f(x)=5cos(x+pi/3)+4

Step-by-step explanation: I just tool the quiz

What is this? -1 - ( -8 )

Answers

Answer:

Since you are subtracting a negative, you must add instead. -1+8 = 7.

Answer:

7

Step-by-step explanation:

-1--8 or -1+8

-1+8

7

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HELP!! I WILL GIVE BRAINLIEST

Answers

Number one: Just plot down on the number like the numbers you have. Just took the test for this.

Can you help me plz right answer only

Answers

Answer:

20

Step-by-step explanation:

To solve this problem use proportions. The tree's proportion is equal to [tex]\frac{30}{40}[/tex] and the shed's proportion is [tex]\frac{15}{x}[/tex]. These proportions are made by putting the height of the object over the length of the shadow. Then, cross multiply to find x. Do this by multiplying [tex]30 *x[/tex] and [tex]40*15[/tex]. Next set these equal to each other, [tex]30x=600[/tex]. Finally, divide both sides by 30 to find x. This equals 20 feet.

I need help with this geometry question. Please show work:)

Answers

i think it would be 7.5!!

I took a picture of the problem.​

Answers

Step-by-step explanation:

[tex] - {3}^{2} m {n}^{5} m {n}^{2} {m}^{6} = \\ = - 9 {m}^{8} {n}^{7} [/tex]

Draw three line segments

P(4, 2) to H(4, 8)

G(4, 6) to J(7, 6)

H(4, 8) to K(8, 8) ​

Answers

here ya go!!! this should be correct

ABC is dilated by a factor of 1/2 to produce AA'B'C!

helpppppp

Answers

Answer:

abc

Step-by-step explanation:

abc

Answer:

B

Step-by-step explanation:

A P E X

After two years, the ash tree grew 51 inches. What is the unit rate? Use a ratio table to find the vertical growth after five years.

Answers

Answer:

ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo

Step-by-step explanation:

Sam receives $50,000 for his monthly salary. If he pays $8,000 for electricity bill, $2,000bfor water bill and $10,000 for grocery. What percentage does he have left?

Answers

Answer:

60%

Step-by-step explanation:

I HOPE THIS HELPS YOU OUT WITH YOUR QUESTION! PLZ LET ME KNOW IF IT DID! IT MAKES ME FEEL GOOD THAT SOMEONE APPRECIATES IT! ANYWAY, IF YOU HAVE A FEW MINUTES PLZ GOT TO MY PROFILE AND THANK MY ANSWERS (THE MORE THE MERRIER)

Please help. Find the area of the composite figure

Answers

Okay so multiple 17 times 8 and 16 times 33 and then add the answers together and you should get 664!

Step-by-step explanation:

here's your solution

=> Firstly divide above picture in two parts

=> 1st = traingle

=> 2nd = trapezium

=> area of traingle = 1/2*base*height

=> height = 8

=> we need to find out base by using Pythagoras formula

=> base^2 = 17^2 - 8^2

=> base^2 = 289 - 64 = 225

=> base = 225

=> base of traingle = 15

=> now, area of traingle = 1/2*15*8

=>60sq.units

=> area of trapezium = 1/2(sum of p. sides ) *

distance between them

=> area = 1/2*(33 + 15)*16

=> area = 1/2*16*48

=> area = 384sq.units

=> area of whole figure = 384 + 60

= 444 sq.units

0.7x − 0.2 = 8.3x + 7.2

Answers

Answer: -37/38

Step-by-step explanation:

A major credit card company requires monthly payments equal to or greater than 8% of the total balance.A consumer has a credit card balance of $320. Write an inequality that represents acceptable payment amounts.

Answers

Answer:

320 x 0.08 = X

In the case, a payment equal to or greater than $ 25.60 would be considered acceptable by the company.

Step-by-step explanation:

Given that a major credit card company requires monthly payments equal to or greater than 8% of the total balance, and a consumer has a credit card balance of $ 320, the following calculations must be performed to determine an inequality that represents acceptable payment amounts:

320 x 0.08 = X

25.6 = X

Thus, in the case, a payment equal to or greater than $ 25.60 would be considered acceptable by the company.

What's the equation

Answers

Given:

The graph of a parabola.

To find:

The equation for the parabola.

Solution:

The vertex form of a parabola is:

[tex]y=a(x-h)^2+k[/tex]       ...(i)

Where, a is a constant and (h,k) is the vertex.

From the given graph it is clear that the vertex of the parabola is at point (-1,6). So, h=-1 and k=6.

Putting h=-1 and k=6 in (i), we get

[tex]y=a(x-(-1))^2+(6)[/tex]

[tex]y=a(x+1)^2+6[/tex]         ...(ii)

The y-intercept of the graph is at point (0,3). Putting x=0 and y=3 in (ii), we get

[tex]3=a(0+1)^2+6[/tex]

[tex]3-6=a[/tex]

[tex]-3=a[/tex]

Putting a=-3 in (ii), we get

[tex]y=-3(x+1)^2+6[/tex]

Therefore, the equation of the parabola is [tex]y=-3(x+1)^2+6[/tex].

please help I will give you brainliest

Answers

Answer:

No, it is not a right triangle.

Step-by-step explanation:

First lets define a right triangle.  A right triangle is a triangle with one side that equals 90 degrees.  When we look at 13, 64, and 86, we can see there are no sides that equal 90 degrees.

The value of the expression 2x²+ 3x for x = 2 is:​

Answers

Answer:

Step-by-step explanation:

lets replace x with 2

2(2^2)+3(2)=2*4+6=8+6=14

-2/5 w+11 2/5=9 4/5 solve for w please

Answers

Answer:

w = 4.

Step-by-step explanation:

-2/5 w+11 2/5=9 4/5

-2/5w + 57/5 = 49/5

Remove the fractions by multiplying thru by 5:

-2w + 57 = 49

-2w = 49 - 57

-2w = -8

w = 4.

Answer:

w=  -8/5

Step-by-step explanation:

3. Convert this rate (80km/hr) to a rate measured in m/s​

Answers

22,24 meters per second

Factor out the GCF:
-9n^5 + 3n

Answers

Answer:

3n or -3n([tex]3n^{4}[/tex]-1)

Step-by-step explanation:

i hope its correct!!!

^^

Answer: 3n(-3n^3 + 1)

Step-by-step explanation:

doughnuts are sold in bags and cartons a bag holds 4 doughnuts and a carton holds 10 doughnuts tom buys b bags of doughnuts and c cartons of doughnuts he buys a total of t doughnuts write down a formula for t in terms of b and c

Answers

Answer:

t = 4b + 10c

Step-by-step explanation:

t = total of doughnuts

b = bags of doughnuts which hold 4 each

c = cartons of doughnuts which hold 10  each

2. An Evergreen Eagle flies about 13 meters in one second. How many kilometers could it fly in 20 minutes? *

Answers

Answer:

Evergreen Eagle can will fly 1.56 km in 20 minutes.

Step-by-step explanation:

Speed of Evergreen Eagle = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]

                                            = [tex]\frac{13}{1}[/tex]

                                            = 13 meters per second

With this speed Eagle can fly the distance in 20 minutes Or 120 seconds

= Speed × Time

= 13 × 120

= 1560 meters

Since, 1000 meters = 1 Km

1 meter = [tex]\frac{1}{1000}[/tex] km

Therefore, 1560 meters = [tex]\frac{1560}{1000}[/tex]

                                       = 1.56 km

Therefore, Evergreen Eagle can will fly 1.56 km in 20 minutes.

Nina buys a small rug in the shape of a kite. The width of the rug is half its height. What are the width and the area of the rug

Answers

Answer:

Width = 1/2h

Area = 1/4h²

Step-by-step explanation:

This is quite a vague question from you. Being asked to find the width and area of a particular shape, without being given dimensions.

However, I would try to solve it nonetheless.

From your question, you stated that the width of the rug is half its height, if so, then,

w = 1/2h

Again, you're being asked to find the area. Area of a kite is given as

Area = 1/2 * Width * Height and as such, we have

Area = 1/2 * 1/2h * h

Area = 1/4 * h²

All that you need to do now is substitute the value of h

Jivesh brought his Model B rocket on a camping trip near the top of a mountain. He wants to model how it descends down the mountain. Here, he uses the equation h = −640t^2. When has the rocket descended 1,690 centimeters? Round your answers to the nearest hundredth. After t ≈ seconds, the rocket will have descended a distance of 1,690 centimeters. The negative time (can, cannot) be used in this context.

Answers

Answer:

i. 1.63 s

ii. The negative time cannot be used in this context

Step-by-step explanation:

i. Since  h = −640t² and the rocket descends 1,690 m, h = -1,690 m (since there is a drop in height).

So,  h = -640t²

t² = h/-640

t = √(- h/640)

Substituting h into the equation, we have

t = √(- h/640)

t = √[-(-1,690)/640]

t = √2.640625

t = 1.625

t ≈ 1.63 s

ii. So, the negative time cannot be used in this context because, the height drop is negative.

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