PQRS is a rectangle with an area of 3 5cm 2 . Given Y = 12-X. show that x - 12x + 35=0​

Answers

Answer 1

Step-by-step explanation:

Given that,

The area of a rectangle, A = 35 cm²

Let x is the length.

Width, Y = 12-x

We know that,

The area of a rectangle is given by :

[tex]A=lb[/tex]

[tex]x(12-x)=35\\\\12x-x^2=35\\\\-x^2+12x-35=0\\\\or\\\\x^2-12x+35=0[/tex]

Hence, [tex]x^2-12x+35=0[/tex].


Related Questions

Please help me!! I don’t underatsnd

Answers

Answer:

23°

Step-by-step explanation:

13x + 154 = 180

13x = 26

x =2

~~~~~~~~~~~~

6(2) + 11

12+11 =23

Answer: 23 degrees
QPS being a “straight angle” means its 180 degrees so: add the two equations and set it equal to 180: 13x+154=180 and x=2
Plug x into the equation 6x+11 which equals
23 degrees

You are playing the Integer Game. The goal of the game is for the sum of the cards in your hand to be as close to zero as possible. Here are the cards in your hand,
4
-8
-3
2
What is the current value of your hand?

Answers

-5 because the negatives equal to -11 then the positives equal to 6 and -11+6 is -5.

Classify the following triangle. Check all that apply.

Answers

D & E

See the photo for further reference on triangle classification.

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

Does anyone know the answer to this math question?

Answers

Answer:

sorry i don,t know but i am finding

if i get then i hep you

Step-by-step explanation:

thanks and have nice day

What does it mean in geometry when they are putting segments over each other to show proportionality? In some video about triangle proportionality theorem, he says "BA to the length of MA " then draws BA over MA like a fraction. What does he mean "to the length of"

Answers

Answer:

Read below.

Step-by-step explanation:

The expression "BA to the length of MA" is probably part of the expression "the length of BA to the length of MA" and is a ratio.

A proportion is setting two ratios equal.

If two triangles are similar, then the lengths of corresponding sides are proportional. That means that the ratios of the lengths of corresponding sides are equal.

For example, let's say you are given triangles ABC and XYZ, and you are told that triangle ABC is similar to triangle XYZ.

By the order of the letters in ABC and XYZ, you can conclude that

side AB corresponds to side XY

side AC corresponds to side XZ

side BC corresponds to side YZ

Since the lengths of corresponding sides are in the same ratio, so you can further conclude that

the length of AB is to the length of XY as

the length of AC is to the length of XZ as

the length of BC is to the length of YZ

Mathematically, you can write the previous three lines as the proportion

AB/XY = AC/XZ = BC/YZ

Find the surface area and volume for each of the following:

Answers

9.5cm
9.5cm is the answer

Answer:

mark brainlist..............

Find the diagonal of a rectangular frame which measures 77 in. by 36 in.

Answers

Answer:

85

Step-by-step explanation:

think about the diagonal of the frame, breaking up a rectangle into 2 right angled triangles. we are already given the legs of the triangle (77, and 36) and now we have to solve fro the hypotenuse (or the diagonal). so use pythagorean theorem :

77^2 + 36^2 = c^2

7225 = c^2

c = 85

HELP !!!!

what is the area of this figure

Answers

Answer:

1049760

Step-by-step explanation:

Just multiple

This is the answer to this question

Answer:

1,049,760

Step-by-step explanation:

9 x 3 = 27

27 x 8 x 3 = 648

648 x 15 x 3 = 29,160

29,160 x 6 x 6 = 1,049,760

Therefore the answer is 1,049,760.

The equation of line a is y=-x+ 3. If line b runs perpendicular to line a and
passes through (2, 6), what would be the equation of line b?

Answers

Answer:

y = 4x -2

Step-by-step explanation:

y = 4x + b

6 = 4(2) + b

6 = 8 + b

-2 = b

Giải hệ pt :{ 2x-3y=1
{x+2y=4

Answers

x+2y=4 ] × (-2) —> -2x-4y=-8

2x-3y=1

-2x-4y=-8

_________o_o___

–7y=–7 —> y =1

2x-3y=1 —> 2x -3(1)=1 —> 2x-3=1 —> 2x=1+3 —> 2x=4

x=4/2 —> x=2

(x,y) > ( 2,1)

I hope I helped you ^_^

SOMEONE PLEASE HELP ME!

Answers

FH = HG =GF
—— —— ——
IK JK IJ

8 =HG =3.2
—. —— ——
32 JK IJ

or, 2 3.2
—— = ——
8 IJ

or,2IJ=3.2*8

or,IJ=25.6
———-
2
.•.IJ=12.8
Hope this might help you

How many positive integers less than 100 are divisible by 7 but not divisible by 2, 3, 4, or 5?

Answers

Answer:  4 positive integers

Step-by-step explanation:

Positive integers less than 100 that are divisible by 7:

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98.

Let's write out numbers that are not divisible by 2 or 4:

7, 21, 35, 49, 63, 77, 91.

Now let's write out numbers that are not divisible by 3:

7, 35, 49, 77, 91.

Finally, let's write out the numbers that are not divisible by 5:

7, 49, 77, 91.

Thus, there are only 4 positive integers less than 100 that are divisible by 7, but not divisible by 2, 3, 4, or 5.

if x = 2 is a solution to the system shown below, then what must be value of b?

y = 7x + 4
y = 3x + b

——————————————-

(1) 5

(2) -4

(3) -17

(4) 12

thank you in advance for anyone that helps answer this :))

Answers

12 so we would multiply 2 by whatever is next to X. So 14+4=18 and 6+b=18 so we just subtract 18-6 and we get 12 :)

Answer:

(4). 12

Step-by-step explanation:


The length and width of a rectangle are in a 3 : 5 ratio. The perimeter of the
rectangle is 64. What are the length and width of the rectangle?

Answers

Answer:

Step-by-step explanation:

Rectangle:

Length : Width = 3 : 5

Length = 3x

Width = 5x

Perimeter = 64

2*(length + width) = 64

2*(3x + 5x) = 64           {Add like terms}

2 * 8x = 64                                

  16x = 64        {Divide both sides by 16}

      x = 64/16

      x = 4

Length = 3*4 = 12 units

Width = 5*4 = 20 units

Answer:

Step-by-step explanation:

solution;

here

let us suppose the ratios of length and width of rectangle be 3x and 5x

if the perimeter of rectangle is 64

we know that,

perimeter of rectangle=2 (l + w)

or,    64=2(3x +5x)

or,     64=2(8x)

or,     64=16x

or,      x=4

therefore length=3x

                      3*4=12

                 width=5x

                     5*4=20

Sphere A has a radius of 24 centimeters, and sphere Bhas a diameter of 42 centimeters. The radius of sphere A is
muided by what factor to produce the radius of sphere B2

Answers

Answer:

A's radius is half so multiply it by 2 to get the diameter which is the same as B's.

Step-by-step explanation:

At the beginning of 2009 Marilyn invested $5000 in a savings account account pays 4% interest per year at the end of the year at the interest is paid how much does Marilyn have in the account?

Answers

Answer:

$5200

Step-by-step explanation:

Given :

Amount invested, Principal, P = $5000

Interest rate, r = 4% = 4/100 = 0.04

Amount in account at the end of the year, A

period, t = 1 year

Using the relation :

A = P(1 + rt)

A = $5000(1 + 0.04*1)

A = $5000(1 + 0.04)

A = $5000 * 1.04

Amount in account at year end = $5200

Find the volume. Leave answer in exact form (in terms of π) ​

Answers

Answer:

704π

Step-by-step explanation:

V = π×r²×h

= π×8²×11

= 704π yd³

Amanda has six more than four times the number of crayons that Clyde has. (write the equation)​

Answers

Answer:

y = 4x + 6

Step-by-step explanation:

Clyde has x crayons.

Amanda has y crayons.

The equation:

y = 4x + 6

The perimeter of a square is 20 ft. If you increase the length square by 2 feet and decrease the width by 1 foot, what is tb area, in square feet, of the new figure

Answers

Answer:

Tue area of the new figure is 28ft

Step-by-step explanation:

Each side 20/4=5

The length 5+2=7

The width 5-1=4

The area 7x4=28


I know you have to use the half life formula but I don’t know how to use it could someone show how to find the solution step by step? Thank you

Answers

Answer:

[tex]A = Pe ^{-0.03108 * t}[/tex]

Step-by-step explanation:

Note: these are typically two part questions...

you have the model and have to FIRST find a constant value "k"

once you have the "k" value you plug that into the model to finish the problem

[tex]A = Pe ^{-kt}[/tex] is a typical version of the continuous decay...

e is "e 2.717" not a variable "e"

so... step 1.. fink k

you are told that the 1/2 life is 22.3 years...

so lets assume that we started with 2 units of lead, and waited for it to decrease to 1 (1 is 1/2 of 2)

you would have

1 = 2[tex]e^{k * 22.3}[/tex]

.5 = [tex]e^{k * 22.3}[/tex]

ln(.5) = 22.3k ln(e)

ln(e) = 1

ln(.5) = 22.3k

ln(.5) = 22.3k ln(e)

[tex]\frac{ln(.5) }{22.3} = k[/tex]

[tex]\frac{\ln \left(0.5\right)}{22.3}=-0.03108[/tex] = k

Graph: f(x) = 3/2 (2)x
Step 1: Calculate the initial value of the function.
f(0)=

Answers

Answer:

Step 1: 1.5

Step 2: Plot the points (0, 1.5)

Step 3: 3, then 0.75

Step 4: Plot the points (1, 3) and (-1, 0.75)

Step 5: y=0

Step-by-step explanation:

Ur welcome and have a nice day :>

The initial value of the function f(x) = 3/2 (2)^x is 3/2

How to calculate the initial value of the function?

The function expression is given s:

f(x) = 3/2 (2)^x

Substitute 0 for x

f(0) = 3/2 (2)^0

Evaluate the exponent

f(0) = 3/2 * 1

Evaluate the product

f(0) = 3/2

Hence, the initial value of the function is 3/2

Read more about exponential functions at:

https://brainly.com/question/11464095

On each coordinate plane, the parent function f(x) = |x| is represented by a dashed line and a translation is represented by a solid line. Which graph represents the translation g(x) = |x + 2| as a solid line?

1) 3rd graph
2) 2nd graph
3) B (-♾,0)
4) 1st graph
5) C (-5,-6)
6) D (10,♾)
7) B) h= -1.5
8) C the range changes from {y|y>0} to {y|y>2}
9) D h must be negative and k must be positive
10) A k= -2.5

Answers

Answer:

c

Step-by-step explanation:

it just is

HELP QUICK!!!! JFKWOFKWKOFKECKEOVKEMKFMEKGONGKSIFNDKDKSKEKNFSW

Answers

Answer:

your correct

Step-by-step explanation:

Answer:

I think the one you have answered is correct.

Ricardo llega cada mañana a su trbajo con 5 minutos de retraso. Cúanto dinero le descuentan al cabo de 30 dIas si por cada hora tiene una multa de s/2,80

Answers

Respuesta:

7

Explicación paso a paso:

Dado :

Último minuto por día = 5 minutos

Número de retrasos = 3 días

Número total de minutos tarde = (30 * 5) = 150 minutos

Cargo por multa por pago tardío por hora = 2,80

Total de horas tardías = 150 minutos / 60 = 2,5 horas

Cargo total por multa por mora = 2.80 * 2.5

Cargo total por multa por mora = 7

Can someone help me with this math homework please!

Answers

Answer:

Last answer.

Step-by-step explanation:

What I do is divide the terms by the previous terms, and if they all equal 1.5, that is your answer.

3 hours after starting a trip, a driver increased his speed by 10 mph and arrived at his destination 11 hours after starting his journey. If the distance traveled was 894 miles, find the original speed of the driver.

Answers

Answer:

74 mph

Step-by-step explanation:

The driver started driving at s mph.

After 3 hours, the speed became s + 10 mph.

The total time is 11 hours, so 3 hours were driven at s mph and 8 hours were driven at s + 10 mph.

speed = distance/time

distance = speed * time

distance = (distance driven at speed s) + (distance driven at speed s + 10)

894 = s * 3 + (s + 10) * 8

3s + 8s + 80 = 894

11s + 80 = 894

11s = 814

s = 74

Answer: 74 mph

A state park charges an entrance fee based on the number of people in a vehicle. A car containing 2 people is charged $14, a car containing 4 people is charged $20, and a van containing 8 people is charged $32.

Answers

Answer:

Bus charges for 30 people = $98

Step-by-step explanation:

Given:

Car A charges for 2 people = $14

Car B charges for 4 people = $20

Van charges for 8 people = $32

Find:

Bus charges for 30 people

Computation:

Assume;

Fix charge = b

Variable charges = a

So,

2a + b = 14.................................. Eq 1

4a + b = 20 ..............................Eq2

From Eq 1 and 2

a = 3

Variable charges = $3

Fix charge = 8

So,

Bus charges for 30 people = 30a + b

Bus charges for 30 people = 30(3) + 8

Bus charges for 30 people = $98

Which choice is equivalent to the quotient below square root 32/ square root 8

Answers

Answer:

there no choice but what i can do for you is [tex]\sqrt{32} =4\sqrt{2}[/tex] & [tex]\sqrt{8} =2^3[/tex]

The equivalent fraction of [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex] is 2/1.

What is the square root of any number?

The square root of any number is equal to a number, which when squared gives the original number.

What is an equivalent expression?

Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value.

According to the given question.

We have a fraction [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex]

Therefore, the equivalent fraction for [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex] is given by

[tex]\frac{\sqrt{32} }{\sqrt{8} } =\frac{\sqrt{4} \sqrt{8} }{\sqrt{8} }[/tex]

⇒[tex]\frac{\sqrt{32} }{\sqrt{8} } =\sqrt{4} =\frac{2}{1}[/tex]

Hence, the equivalent fraction of [tex]\frac{\sqrt{32} }{\sqrt{8} }[/tex] is 2/1.

Learn more about equivalent fraction here:

https://brainly.com/question/17912

#SPJ2

If eleven plus two equal one what does nine plus five equal?

Answers

Answer:

huh???

Step-by-step explanation:

how does that make sence

i need help
measure of each labeled angle

Answers

Answer:

[tex]\sf m\angle A = 3x - 20^o = \bf 100^o [/tex]

[tex]\sf m\angle B = 2x = \bf 80^o [/tex]

[tex]\sf m\angle C = 2x - 15^o = \bf 65^o [/tex]

Step-by-step explanation:

A figure is given to us , in which two lines are parallel to each other. There are two transversals to the || lines . We know that the measure of a straight line is 180° . Therefore ,

[tex]\sf\longrightarrow \angle A +\angle B = 180^o [/tex]

Substitute the given values ,

[tex]\sf\longrightarrow 3x - 20^o + 2x = 180^o [/tex]

Simplify the RHS by adding the variables ,

[tex]\sf\longrightarrow 5x - 20^o = 180^o [/tex]

Add 20° to both sides ,

[tex]\sf\longrightarrow 5x = 180^o + 20^o [/tex]

Add the numbers in RHS ,

[tex]\sf\longrightarrow 5x = 200^o [/tex]

Divide both sides by 5 ,

[tex]\sf\longrightarrow \boxed{\blue{\sf x = 40^o}}[/tex]

Therefore ,

[tex]\sf m\angle A = 3x - 20^o = \bf 100^o [/tex]

[tex]\sf m\angle B = 2x = \bf 80^o [/tex]

[tex]\sf m\angle C = 2x - 15^o = \bf 65^o [/tex]

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