The quadrilaterals JKLM and PQRS are similar find the length x of PQ

The zero of the equation [tex]6 =- 16x^2+24x+1[/tex] represents the moment when the ball is 6 ft above the ground.

Given that,

The height y, in feet, of a football x seconds, after it is thrown is modeled by the equation,

[tex]\rm y=- 16x^2+24x+1[/tex]

We have to determine,

What information does the zero of the equation [tex]6 =- 16x^2+24x+1[/tex]represent?

According to the question,

In the quadratic equation for the ball's height, it is found that the zero of the equation represents,

[tex]\rm 6 =- 16x^2+24x+1[/tex]

The instant of the time x is when the ball is 6 ft above the ground.

The height of the ball is y(x), after x seconds, is modeled by:

[tex]\rm y =- 16x^2+24x+1[/tex]

The equation given is,

[tex]\rm y =- 16x^2+24x+1[/tex]

In which the height is 6 feet above the ground, and the zeroes are the instants of time when the ball is 6 ft above the ground.

Hence, These points represent the moment when the ball is 6 ft above the ground.

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Answer:

10, 100. 70,700

Step-by-step explanation:

cuz qauntom of 11 77 divided by 11

Answer: 48[tex]x^{3}[/tex]-240[tex]x^{2}[/tex]+300x

hopes this helps

Answer:

It would be 9.6 inches after 4 weeks.

The expression you would use is  5 + 2.5 × ww = ?

Step-by-step explanation:

At the beginning of spring, Eva planted a small sunflower in her backyard. When it was first planted, the sunflower was 5 inches tall. The sunflower then began to grow at a rate of 2.5 inches per week. How tall would the sunflower be after 4 weeks? How tall would the sunflower be after ww weeks? Write an expression.

So the sunflower was 5 inches tall to start off.

First you need to do 2.5 times 4.

Which is 9.6 inches after 4 weeks.

The expression you would use is.

5 + 2.5 × ww = ?

The cost of 35 pounds of oolong tea is $84.

An equation is used to show the relationship between two or more variables or numbers.

Given that oolong tea sells for $2.40 per pound.

There are 35 pounds of oolong tea available. Hence:

Cost of 35 pounds of oolong tea = $2.40 per pound * 35 pound

Cost = $84

Hence, the cost of 35 pounds of oolong tea is $84.

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Answer:

35 LB (THIS IS ACTUALLY CORRECT)

Step-by-step explanation:

First, you lay it down like this:

Since you're selling 35 pounds of oolong tea that sells for $2.40, you multiply both

2.4*35

=84

However, since you don't know how many pounds of black tea, you use x

Multiply like above

1.8*x

=1.8x

The total mixture is selling for $2.10

Total pounds: 35 + x (given above, or black + oolong tea

equation:

84 + 1.8x = 2.1(35+x)

84 + 1.8x = 73.5 + 2.1x (distributive property)

    - 1.8x             - 1.8x

84 + 0 = 73.5 + 0.3x

-73.5             -73.5

10.5 = 0.3x

3.5 = 0.1x

35 = x

Answer:

b= -3

b=3/2=1.500

Step-by-step explanation:

step 1 . b • (2b + 3) -  9  = 0

Step-2 : Find two factors of  -18  whose sum equals the coefficient of the middle term, which is   3 .

     -18    +    1    =    -17  

     -9    +    2    =    -7  

     -6    +    3    =    -3  

     -3    +    6    =    3

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  6  

                    2b2 - 3b + 6b - 9

Step-4 : Add up the first 2 terms, pulling out like factors :

                   b • (2b-3)

             Add up the last 2 terms, pulling out common factors :

                   3 • (2b-3)

Step-5 : Add up the four terms of step 4 :

                   (b+3)  •  (2b-3)

Answer:

Step-by-step explanation:

2(5)(-5)-(5)^2

=−75

Answer:the area is = the length*the width

2x^2-11x+15= (2x-5)* the width

you have to divide 2x^2 - 11 x + 15 at 2x-5

2x^2-11x+15   |  2x-5

-2x*2+5x                 x-3

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

/       -6x+15

       +6x-15

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

         /   /

the answer is X-3

Step-by-step explanation:

Answer:

f(x+2)=3x+5

Step-by-step explanation: hope this helps, love. have a good day

Answer:

Step-by-step explanation:

Nonlinear, because the slope is not constant - it keeps changing.

Slope between (1,1) and (1,2) is (1/1) or 1

Slope between (2,4) and (16,3) is:

            Rise = (3-4) = -1

            Run = (16-2) = 14

            Slope = 14/-1 or -14

Definitely not linear.  The slope changes dramatically very quickly.  A straight line would disapprove.

-scale drawing is a drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount ( called the scale )

-the answer is: scale drawing

Answer:The food you ordered at a restaurant costs $32.

lowa sales tax is 7%.

It was good service- You decided to tip 20%.

How much tax would be added to your bill?

What is the cost after tax?

What is the amount after the tip

Find the total cost you will pay

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

basically just subtract 10-3=7 then to check 3+7=10

Answer:

x = 7

Step-by-step explanation:

3 + x = 10

-3         -3

x = 7

you subtract by 3 on both sides (because the opposite property of addition is subtraction) to cancel it out and isolate the x.

Answer:

The required equation is:

Step-by-step explanation:

I think that's the answer

The linear function rule to model the distance in feet 'd' that the car has traveled any number of seconds 't' after passing the timing device. can be represented as d = f(t) = 117t

A linear function can be defined as the function whose graph is a straight line. It can also be defined as the function with one or more variables but does not have exponents to the variables or the exponent of the variable is 1.

Given that car is moving at a constant speed.

Distance travelled by car = 936 feet

Time taken to travel the distance = 8 seconds

Speed = Distance / Time

           = 936 / 8

           = 117 feet per second

So the car will be moving at a speed of 117 feet per second at any time t.

Distance of car at any time is,

Distance = Speed × Time

d = 117 × t

d = f(t) = 117t

Hence the linear function which models the relationship between d and t is d = f(t) = 117t.

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Answer:

y-3=0(x+4)

Step-by-step explanation:

[tex]\text{Given that,}\\\\(x_1,y_1) =(-4,3) ~\text{and}~ (x_2,y_2)= (4,3)\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{3-3}{4+4} = \dfrac 08 = 0\\\\\\\text{Point - slope form,}\\\\y - y_1 = m(x-x_1)\\\\\implies y -3 = 0(x +4)[/tex]

Answer:

-5x^5 + 7x^2 - 8x

Step-by-step explanation:

Add like terms:

3x^5 - 8x^5 = -5x^5

4x^2 + 3x^2 = 7x^2

Answer:

  13 r 22

Step-by-step explanation:

The dividend of Amy's division problem is d such that ...

  d/67 = 15 +5/67

Multiplying by 67, we get ...

  d = 15(67) +5 = 1010

When this is divided by 76, the result is ...

  1010/76 = 13 22/76

The correct quotient is 13 remainder 22.

Answer: y=-1/3x+4

Step-by-step explanation:

When a line is perpendicular to another, their slopes will be opposite reciprocals. For example, 1 would be -1, -3 would be [tex]\frac{1}{3}[/tex], and [tex]\frac{5}{1}[/tex] would be -5. The equation is written in slope-intercept form:

y=mx+b

y=3x-4

m is the slope, so next find the equation with the opposite reciprocal of 3, [tex]-\frac{1}{3}[/tex]:

Therefore, y=-1/3x+4 is the correct answer.

Answer:

A multiplicative inverse or reciprocal for a number x, is denoted by 1/x or x‾¹.

So, the answer to your question is B.  a × (1/a) = 1.

Hope this helps!! :)

Answer:

x=6

Step-by-step explanation

So, the formula for this is the Pythagorean Theorum which is a^2 +b^2=c^2.

If the longest side is the square root of 72, then it is the hypotenuse, or c. Now the equation looks like this. a^2 + b^2 = square root of 72.

Since we know that a and b are the same, and that they equal the square root of 72, just divide 72 by two for the square root of 36. Just find the square root of 36 now, which is 6. :) Hope this helps!

Answer:

y = 4 (x + 1)² - 16

Step-by-step explanation:

Step 1: Equation at the end of step 1

(2²x²+8x)-12

Step 2:

Step 3: Pulling out like terms

Pull out like factors :

4x² + 8x - 12  =   4 • (x² + 2x - 3)

Trying to factor by splitting the middle term

Factoring  x²+ 2x - 3

The first term is,  x²

its coefficient is  1 .

The middle term is,  +2x  its coefficient is  2 .

The last term, "the constant", is  -3  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -3 = -3  

Step-2 : Find two factors of  -3  whose sum equals the coefficient of the middle term, which is   2 .

   -3    +    1    =    -2  

     -1    +    3    =    2    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -1  and  3

x² - 1x + 3x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-1)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x-1)

Step-5 : Add up the four terms of step 4 :

                   (x+3)  •  (x-1)

            Which is the desired factorization

Final result :

Final result :

 4 • (x + 3) • (x - 1)

Now convert to vertex form:

y = 4 (x + 1)² - 16

Answer: 120

Step-by-step explanation:

first you distribute 5 to 11 and -17 to get (55 - 85) then you distribute 6 to 14 and -7 to now get (55-85) + (84-42) then you distribute -12 to 2 and 7 to now have (55-85) + (84-42) - ( -24 + -84) to get 120 you multiple when you distruibute for these cause its outside the parenthesis so you multiply the number by everything in the parenthesis

[tex]\dfrac{10}{1+2i}\\\\\\=\dfrac{10(1-2i)}{(1+2i)(1-2i)}\\\\\\=\dfrac{10-20i}{1 - (2i)^2}\\\\\\=\dfrac{10-20i}{1+4}~~~~~;[i^2 =-1]\\\\\\=\dfrac{10-20i}5\\\\=\dfrac{10}5 - \dfrac{20i}5\\\\=2-4i[/tex]

Answer:

$95,600

Step-by-step explanation:

the question can be rephrased as '4780 is five percent of what number'?

we can use the ratio of 'is/over' = %/100 to solve

'is' = 4780

'of' = selling price of house ('p')

4780/p = 5/100

now cross-multiply:

5p = 478000

p = 95600

Answer:

eight point five one seven.

Step-by-step explanation:

Answer:

109.50

Step-by-step explanation:

cost of membership + individual visit price

49.50+ 12*5          (cost of membership plus amount of visits * ticket price)

109.50

Answer:

-t+2>10

Step-by-step explanation:

Just ask.

Hope this helps! :D

Answer:

y= -10x+70

slope being -10 and y-intersept being 70

Step-by-step explanation:

Answer:

Equation: y=-10x+70

Slope: -10

Y-Intercept: 70

Hope this helps!

Step by step? Just ask.

Doubt? --> comment section.

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