The quadratic equation given describes the area of the shaded region of each figure. Use the equation to find for the length and width of the figure
(s-2) (s+6) = 153​

Answers

Answer 1

Answer:

Step-by-step explanation:

To find the length and width of the figure given the equation (s-2) (s+6) = 153​, we will find the equivalent value of s by factoring.

(s-2) (s+6) = 153​

s²+6s-2s-12 = 153

s²+4s-12-153 = 0

s²+4s-165 = 0

s²+15s-11s-165 = 0

s(s+15)-11(s+15) = 0

s+15(s-11) = 0

s+15 = 0 and s-11 = 0

s = -15 and 11

s cannot be negative

Hence s = 11

The length of the figure is s

The width is s+6

Length = 11

Width = 11+6 = 17

Hence the length of the figure is 11 and the width is 17

The Quadratic Equation Given Describes The Area Of The Shaded Region Of Each Figure. Use The Equation

Related Questions

a - 3b + 5c + 4a help

Answers

Answer:

5a - 3b + 5c

Step-by-step explanation:

Just simplify

Answer:

5a - 3b + 5c

Step-by-step explanation:

Step 1: Define expression

a - 3b + 5c + 4a

Step 2: Combine like terms (a)

5a - 3b + 5c

I just need 8 and 9 pls help been stuck here forever

Answers

Answer:

8: C

9: D

10: C

11: D

Step-by-step explanation:

On number 8, the pattern is by starting from 3, and squaring it. Then you take that square and square it again. So 3 squared is 9, and then you square 9 which is 9 times 9 giving you 81. Then you square 81 giving you 6561.

9: Negative exponents work by flipping the number upside down, and then doing normal exponential work on the now denominator.

If the number is 5 to the power of -3, you are flipping 5 to 1/5 and then doing 5 to the power of 3 which is 5x5x5 giving you 125. Therefore the answer would be 1/125.

10 is the same thing as number 9 except backwards, so you flip 1/2^3 to 2^-3

11 is similar, except you have 3.471 times 1/10000

So you add 4 zeros in front of the 3.471 turning it into 0.0003471

find an equivalent ratio in 6:88​

Answers

Answer:

12:176 or 12/176

Step-by-step explanation:

Multiply both the top and bottom by 2.

6/88. 6 x 2= 12. 88 x 2= 176

So, 6:88 = 12:176 because you multiplied both numbers by 2.

6/88 x 2/2 = 12/176

Factor the perfect square trinomial 25x^2-60x + 36.​

Answers

Answer:

(5x - 6)^2

(@^◡^)

Which characteristics do the functions have in common? Select two options.

range
domain
minimum
x-intercept
y-intercept

Answers

Range and y intercept are two characteristics they have in common

The characteristics that the functions have in common are the range and the y-intercept.

What is a function?

A function refers to a mathematical rule. It is a mathematical operation to be carried out on variables.

For the two functions shown, the characteristics that the functions have in common are the range and the y-intercept.

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Solve - 3.6/1.2
-12
-6
3
-3

Answers

Answer:

this answer would be -3

Step-by-step explanation:

I have done this question so many times lol

The answer is -3.. just insert the problem in the calculator and solve.

Is -27 a integer, Rational number, whole number?

Answers

-27 is an integer

It's not a whole number because a whole number is all POSITIVE whole numbers and ZERO.

It could be rational number but integer is more specific, so the answer is A. integer

What is the value of y in the following system?

4x - 10y = -3

12x + 5y = 12

Answers

Y=3/5

First, set it up so they cancel. I recommend multiplying the second equation by 2, getting

[tex]4x-10y=-3[/tex]

[tex]24x+10y=24[/tex]

add them together, and you get

[tex]28x=21[/tex]

so

[tex]x=3/4[/tex]

then, you plug x into one of the equations (first because it's easier) and get

[tex]3-10y=-3[/tex]

so

[tex]-10y=-6[/tex]

and

[tex]y=3/5[/tex]

Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 42. How old is each sister?
(a) Write an equation that represents the situation. Explain any variable used.
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.

Answers

Answer:

a: K = 2s

K + s = 42

b: 2s + s = 42

K = 28

s = 14

Step-by-step explanation:

1. Come up with equations based on the information given.

K = Kim

s = sister

Kim is twice of her sister -> K = 2s

When you add Kim's age to her sister's age, you get 42 -> K + s = 42

2. Substitue for K to find out the value of s

K = 2s

2s + s = 42

3. Solve for s

s = 42/3

s= 14

4. Solve for K

K = 2s

K = 2*14

K = 28

HELP ME. I dont know this

Answers

Answer:

so use the butterfly method which is multiplying the

Step-by-step explanation:

numerator by the denominator on the other side like I'll give you an example

2/3 4/5

you would multiply 2 and 5 together

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The answer is the second one.

You put 15 quarts over one then you multiply it by the number of liters per 1 quart.

Tip: You should always keep the units that are diagonal the same.

Example:       15 quarts  x   .95 liter        See how they are diagonal.

                          1                1 quart

A carton contains 150 nails. There are 15 nails in a box. How many boxes are in the carton?

Answers

Answer:

10 boxes

Step-by-step explanation:

15 x 10 = 150 or

150 divide by 15 = 10

hope it helps

10 because 15 divided into ten different boxes equals 150 nails in total.

do you need help with geometry?? Let me help
send me your questions and i will help you!

Answers

Answer:

Thank you!!!!!

Step-by-step explanation:

That's so nice but i'm good right now but thank you!

I need help solving this.
What is s?

Answers

Answer:

[tex]\boxed{s=60}[/tex]

Step-by-step explanation:

[tex]\frac{1}{4}s =15[/tex]

→ Multiply everything by 4 to get rid of the fraction

[tex]s=60[/tex]

Ethan played in two basketball games. He scored 4 fewer points in the second game than he scored in the first. He scored 12 points in the second game. How many points did he score in the first game?

Answers

9514 1404 393

Answer:

  16 points

Step-by-step explanation:

You are given ...

  second = first - 4

  second = 12

Substituting the second equation into the first, we have ...

  12 = first - 4

  16 = first . . . . . . . . add 4 to both sides

Ethan scored 16 points in the first game.

Are my answers correct? All serious answers will be greatly appreciated!​

Answers

Answer:

In my opinion yes!!

Step-by-step explanation:

Solve for x.

5 + 4/7(21 + 3x) = 41

Answers

Answer:

x = 8

Step-by-step explanation:

first you’ll want to do 4/7 times 21 (a number or fraction in front of a parenthesis without a “+” or ”-“ sign must be multiplied) which is 12, then you add 12+5 to get 17. Next you subtract 17 from 41 to get 24, then you will divide 24 by 3x to get 8 = x.

Find x for
5x+5+65+65=

Answers

5x+5+65+65=

Answer:

x=-27

Step-by-step explanation:

We want to find x right, so everything that does not have x you can move to the other side. 5x=-5-65-65. So that should be your equation so far. Now we know that when there are two negatives it is a negative and you add so -5-65=-70-65=-135. So your equation now should be: 5x=-135. Now we can divide -135 with 5 which gives us... -27! There’s your answer. Hope this was correct!

Warren is trying to find the distance to the bottom of a trench by using similar triangles as shown. Triangle LMN is similar to triangle PON. What is the value of x?

A. 12 m

B. 24 m

C. 30 m

Answers

C. 30 Because the big triangle is 2.5 times as big as the small one.
C.30 m
Hope this helps

A baseball player got 102 hits in the last 300 times at-bat.

What percent of the times at-bat did the player get a hit?

The player got a hit ______% of the time.

Answers

He hit the ball 34% of the time

STEP 4: LOOK BACK

According to soap box derby rules, a racer must weigh 250

pounds or less. The Math Club's car weighed in at 266

pounds on the day of the derby. How many pounds did the

Math Club need to remove from their soap box racer?

Dana added the weight limit to the Hector subtracted the weight limit

racer's weight. Since

from the racer's weight. Since

250 + 266 = 516, the Math Club 266 - 250 = 16, the Math Club

needed to remove 516 pounds from needed to remove 16 pounds

the racer

from the racer.

Answers

Answer:

16 pounds

Step-by-step explanation:

Given that:

Soap box derby rules :

Racer ≤ 250 pounds

Weight of math club car = 266 pounds

Amount of weight to be removed = a:

266 - a ≤ 250

266 - 250 ≤ a

a ≥ 16 pounds

the population of a country is 9.7x10^7 and is increasing by 8.7x10^5
Show your work
1.How may new people are added after 25 years
2.what is the population after 25
years

Answers

10^7 = 10,000,000

9.7x10^7 = 9.7x10,000,000

9.7x10,000,000 = 97,000,000

8.7x10^5 = 870,000

870,000x25 = 21,750,000

1. 21,750,000 new people are added after 25 years

2. The total population after 25 years is 118,750,000

Answer:

2.10975E17

Step-by-step explanation:

8.7×10^5

×25

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

2,175,000,000

×9.7×10^7

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

2.10975E17

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

between 9 p.m. and 6:36 a.m.​, the water level in a swimming pool decreased by 6/25. assuming that the water level decreased at a constant​ rate, how much did the water level drop each​ hour?

Answers

Answer:

The hourly drop between the two times is 1/40

Step-by-step explanation:

Firstly, we need to find the difference in time between 9 pm and 6:36 am

That would be 9 hours and 36 minutes

It would be needed to convert 36 minutes to hours

Mathematically, 60 minutes = 1 hour

So 36 minutes = (36 * 1)/60 = 36/60 = 0.6

So the difference between the two time is simple 9.6 hours

So the total drop during the time is given by 6/25

So the hourly drop will be 6/25 divided by 9.6

= 6/25 * 1/9.6 = 6/240 = 1/40

Rewrite the following improper fraction as a mixed number : -7/ 7

Answers

Answer:

-1

Step-by-step explanation:

Answer:

it just -1. did you forget another number on the ouside of he fraction?

Step-by-step explanation:

Please HELPPP!!!

2x^3 + 1x^2 - 3x + 14

Answers

Answer:

6x + 14

Step-by-step explanation:

Original Equation:

2x^3 + 1x^2 - 3x + 14

2x to the 3rd power is 8x

8x + 1x^2 - 3x + 14

1x to the 2nd power is 1x

8x + 1x - 3x + 14

8x + 1x = 9x

9x - 3x + 14

9x - 3x = 6x

6x + 14

Hope I helped :)

Please consider Brainliest :)

Solve log x = 4. (2 points)

Answers

Answer:

0.60205991

Step-by-step explanation:

type in log 4 in calculator

CAN SOMEONE PLEASE HELP ME ASAP PLEASEE ANYBODY LITERALLY ANYONE OUT THERE PLEASE

ANSWER PART C PLEASEEEEEE

Answers

Answer: 68 degrees

Step-by-step explanation:

Write as a decimal.
Twenty-two hundredths

Answers

Twenty two hundred as a decimal =.22

Twenty-two hundredths as a decimal is 0.22

What are decimals?

A decimal numeral system is the standard system for denoting integer and non-integer numbers. The way of denoting numbers in the decimal system is often referred to as decimal notation.

The given number is,

Twenty-two hundredths

In numeric notation it is given as,

Twenty-two is 22

So hundredth of 22 is given as twenty-two divided by 100.

or, 22/100

or, 22/100 =  11*2/2*50

or, 22/100 = 11/50

Dividing 11 by 50 we get,

22/100 = 0.22

Hence,Twenty-two hundredths as a decimal is given as 0.22

Learn more about decimals here:

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solve z-m=z+bx for x

Answers

Answer:

-m/b= x

Step-by-step explanation:

We are solving for x so x needs to be on one side alone.

z - m = z+bx

-z        -z

-m= bx

-m/b = bx/b

-m/b= x

Hope this helps!

What is the value of x when given the equation 62 = (2+3x) ?

Answers

Answer:

x = 20

Step-by-step explanation:

62 = (2+3x)

You want to isolate x, so first you subtract 2 from each side

60 = 3x

Now, you divide each side by 3

20 = x

There's your answer!

Write an recursive formula for an the nth term of the sequence 14 6 -2

Answers

Answer: a(-2)+6=14

Step-by-step explanation:

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