An object is thrown in the air with an initial velocity of 5 m/sec from a height of 9 m. The following equation models the height of the object in meters after t seconds. How many seconds does it take for the object to hit the ground?

Answer:

Step-by-step explanation:

1:    x^2 + 6x = - 7

2:   x^2 + 6x + (6/2)^2 = -7 + (6/2)^2

2:   x^2 + 6x + 9 = - 7 + 9    This might be a 2

2:   x^2 + 6x + 9 = 2

3:   (x + 3)^2 = 2

4:   √(x + 3)^2 = √2  

5:    x + 3 = +/- √2

6:    x = -3 +/- √2

The equation for a parabola does become [tex]\rm x^2=4py[/tex].

A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape.

Given

The derivation for the equation of a parabola with a vertex at the oriin.

The equation of the parabola can be written as;

[tex]\rm (x)^2 + (y - p)^2 = (0)2 + (y + p)2\\\\x^2 + y^2 - 2py + p^2 = y^2 + 2py + p^2\\\\ x^2= 2py+2py\\ \rm \\x^2=4py[/tex]

Hence, the equation for a parabola does become [tex]\rm x^2=4py[/tex].

To know more about parabola click the link given below.

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Answer:

Below

Step-by-step explanation:

5 (15) - 8 (7)= 20

75-56=20

19=20

19<20

Answer:

252 cph

Step-by-step explanation:

756 divide by 3 is 252

Answer:252

Step-by-step explanation:

Answer:

8y

Step-by-step explanation:

=(6)(2x)+(6)(y)+2y+−12x

=12x+6y+2y+−12x

Combine Like Terms:

=12x+6y+2y+−12x

=(12x+−12x)+(6y+2y)

=8y

Answer:

8y

Step-by-step explanation:

6(2x+y) comes first 12x+6y then you take 2y and add it from 6y giving you 8y and that gives you the most simplified answer 12x and -12x cancel each other out

Answer:

- 1/9

Step-by-step explanation:

- ( 3 ^ -5) ( 3 ^3)

We know that a^ b* a^c = a^ ( b+c)

- ( 3^(-5+3))

-( 3 ^ (-2))

We know that a^ -b = 1/a^b

- ( 1/ 3^2)

- 1/9

Answer:

- 1/9

Step-by-step explanation:

stop deleting my answer Brainly :) its right

Answer:

There is no values of c that makes it true

Step-by-step explanation:

The roots of the quadratic equation x² – 2x + c = 0 are 0 and –2. Then the value of c is zero.

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

For which values of c does the quadratic equation

x² – 2x + c = 0 ...1

The one root is equal to zero and one negative root.

Let negative a be the one root.

x = 0, –a

Then we have factorized the equation,

(x)(x + a) = 0

On solving, we have

x² + ax = 0 ...2

In comparing equation 2 with equation 1, we have

a = –2 and c = 0

More about the quadratic equation link is given below.

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Answer:

The answer is 3/8.

Step-by-step explanation:

I watched it on khan academy. im just unsure how to explain it. Lol but im 100% sure it is 3/8. Have a nice day hope this helped! :3

Answer:

385/27

Step-by-step explanation:

Answer:

x = 2 + √10

    -------------

           3

x =  2 - √10

     ------------

            3

Step-by-step explanation:

3x² - 3x - 1 = x + 1

         -x - 1  -x  -  1

3x² - 4x - 2 = 0

-b +/- √b² - 4ac              -(-4) +/- √(-4)² - 4(3)(-2)         4 +/- √16 + 24

         ------------------    =            ----------------             =   -----------------

               2a                                 2(3)                                  6

4+/-√40        4 + √ 4 × 10         4 +2√10         2 + √10

------------  =      -------------     =     ------------    =   ------------

     6                       6                        6                  3

                     4 - √ 4 × 10           4 - 2√ 10           2 - √10

                      ----------------    =   -----------------   =    ---------------

                               6                         6                        3

I hope this helps!

Answer:1

Step-by-step explanation:

Answer:

3y = -x + 17

Step-by-step explanation:

Equation of a line is in the form:

y = mx + c

where m is slope and c is intercept

Mathematically;

slope m = (y2-y1)/(x2-x1)

= (6-4)/(-1-5) = 2/-6 = -1/3

So the equation is now;

y = -x/3 + c

Multiply through by 3

3y = -x + 3c

To get c substitute the value of a point say (5,4)

x = 5 and y = 4

3(4) = -5 + 3c

12 = -5 + 3c

12+ 5 = 3c

3c = 17

c = 17/3

So the equation is

y = -x/3 + 17/3

and that is

3y = -x + 17

Answer:

... there's nothing there. you forgot to attach something i believe

Step-by-step explanation:

Answer:

6 sides, hexagon

Step-by-step explanation:

If you count the sides you see there are 6, and 6 sided figures are hexagons.

Answer:

32%

Step-by-step explanation:

Answer:

3. {-2, 3/2}

Step-by-step explanation:

[tex]\mathrm{Solve\;with\;the\;quadratic\;formula}[/tex]

[tex]x_{1,\:2}=\frac{-1\pm \sqrt{1^2-4\cdot \:2\left(-6\right)}}{2\cdot \:2}[/tex]

[tex]\sqrt{a^1-4*2(-6)=7}[/tex]

[tex]x_{1,\:2}=\frac{-1\pm \:7}{2\cdot \:2}[/tex]

[tex]\mathrm{Separate\:the\:solutions}[/tex]

[tex]x_1=\frac{-1+7}{2\cdot \:2},\:x_2=\frac{-1-7}{2\cdot \:2}[/tex]

[tex]x=\frac{-1+7}{2*2}:\frac{3}{2}[/tex]

[tex]x=\frac{-1+7}{2*2}:-2[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=\frac{3}{2},\:x=-2[/tex]

~Learn with Lenvy~

Answer:

Step-by-step explanation:

answer- {-2, 3/2}

steps are in the image.

The equation of the line plotted in the graph with the similar triangles on the coordinate plane is y equal to three-fourths x.

Symbolically, it can be written as,

[tex]y=\dfrac{3}{4}x[/tex]

The equation of the line is the way of representation of a line in the equation form.

The equitation of the lines represents the line by the set of points on which the line lies or passes through in the coordinate system.

[tex]y=mx+c[/tex]

Here, (m) is the slope of the line and (c) is the y intercept.

The similar triangles on the coordinate plane to determine the equation for the given line. The line and the triangle is graphed in the image attached below.

The line passes from origin point (0,0). The coordinate points on the line say P are (4,3) as shown in the image. Thus, for this the slope of the line can be given as,

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\m=\dfrac{3-0}{4-0}\\m=\dfrac{3}{4}[/tex]

The equation of the line for 3/4 slope is,

[tex]y=\dfrac{3}{4}x[/tex]

Hence, the equation of the line plotted in the graph with the similar triangles on the coordinate plane is,

[tex]y=\dfrac{3}{4}x[/tex]

Learn more about the equation of line here;

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Answer:

Its A. :]

(Edge 2022)

Answer:

No

Step-by-step explanation:

This time I did the work on paper lol

Answer:

Step-by-step explanation:

First Add the scores.

Score Total = 787 + 615 + 550 + 674 + 784+ 773 + 620 + 720 + 704

Score Total = 6227

Now divide by the number of members of the sum.

Number of members = 9

The average score = Total Score / number of members

The average score = 6227 / 9 = 691.9

The average score = 692 which is C

Answer:

none

Step-by-step explanation:

Kayla is buying an $18.90 shirt for $10, she is underpaying $8.90.

Therefore, she needs to pay another $8.90 to pay for the full price of the shirt.

Unless there was a discount on the shirt, this answer makes the most sense to me.

Answer:

6in

Step-by-step explanation:

Let's organize what we know.

- 5gal/1in

- 30gal tank

Since we need to find the inches of the fish he can have, we can set up a proportion like this:

5/1=30/x

We can cross multiply.

5x=1(30)

Simplify: 1*30=30

5x=30

Now we can isolate the variable.

5x=30

/5   /5

x=6

Answer:

P(1 red gumball and 1 blue balloon) =[tex]\frac{2}{15}[/tex]

Step-by-step explanation:

There are two jars.

One jar has 2  red, 3 green and 1 yellow gumball.So, there are 2+3+1=6 gumballs.

Another jar has 2 blue and 3 purple balloons. Totally there are 2+3=5 balloons.

So,

Probability of drawing 1 red gumball from jar 1 =[tex]\frac{2}{6}[/tex]

Probability of drawing 1 blue balloon =[tex]\frac{2}{5}[/tex]

So, P( 1 red gumball, 1  blue balloon)= [tex]\frac{2}{6} *\frac{2}{5} =\frac{2}{15}[/tex]

Answer:

See below.

Step-by-step explanation:

y=2x+3

-----

y=2(-2)+3

y=-4+3

y=-1

y=2(-1)+3

y=-2+3

y=1

y=2(0)+3

y=0+3

y=3

y=2(1)+3

y=2+3

y=5

y=2(2)+3

y=4+3

y=7

-hope it helps

The amount more in interest over the life of the loan which Nellie have to pay is $14814.

Bankruptcy is the procedure by which the people who are unable to pay the debts to creditors, may get relief from some or all the debts.

Nellie has a bankruptcy on her credit report and therefore pays higher interest rates on her current loans.

Nellie took out a car loan for $45,000 payable for 6 years at an interest rate of 15%. Thus, the interest is,

[tex]I=\dfrac{45000\times6\times15}{100}\\I=40500[/tex]

If she had not applied for bankruptcy, she would have been able to take out the loan at a rate of 6%. In this case, the interest paid would be,

[tex]I=\dfrac{45000\times6\times6}{100}\\I=16200[/tex]

The difference between the interest paid would be,

[tex]I=40500-16200\\I=24300[/tex]

Hence, the amount more in interest over the life of the loan which Nellie have to pay is $14814.

Learn more about the bankruptcy here;

https://brainly.com/question/7780877

Answer:Santiago is playing a game on his computer and is designing a ramp that bikers will jump off to land in a foam pit. His designs are shown below. Use the designs to answer each question. RAMP FOAM PIT 24 ft 21.7 ft 8.5 ft 12 ft 99 wa 20 ft 1. What is the total surface area of the ramp? 2. Santiago wants the lateral surfaces of the ramp to be painted red. How many square feet of the ramp will be painted red? 3. The material Santiago will use to build the tamp costs $2.20 per square foot. What will the total cost of building the ramp be? 4. The foam pit is a rectangular prism, but the top of the pit will be open. What is the total surface area of the foam pit? 5. The lateral surfaces of the foam pit will be lined with extra padding. How many square feet will be lined with extra padding? 6. The total cost of materials to build the foam pit is $1,285.20. What is the cost of materials per square foot? 7. Santiago's total budget for the materials to build the ramp and the foam pit is $3,000. With his current design, will be he over budget or under budget, and by how much?

Step-by-step explanation:

Santiago is playing a game on his computer and is designing a ramp that bikers will jump off to land in a foam pit. His designs are shown below. Use the designs to answer each question. RAMP FOAM PIT 24 ft 21.7 ft 8.5 ft 12 ft 99 wa 20 ft 1. What is the total surface area of the ramp? 2. Santiago wants the lateral surfaces of the ramp to be painted red. How many square feet of the ramp will be painted red? 3. The material Santiago will use to build the tamp costs $2.20 per square foot. What will the total cost of building the ramp be? 4. The foam pit is a rectangular prism, but the top of the pit will be open. What is the total surface area of the foam pit? 5. The lateral surfaces of the foam pit will be lined with extra padding. How many square feet will be lined with extra padding? 6. The total cost of materials to build the foam pit is $1,285.20. What is the cost of materials per square foot? 7. Santiago's total budget for the materials to build the ramp and the foam pit is $3,000. With his current design, will be he over budget or under budget, and by how much?

Answer:

-8p-14

Step-by-step explanation:

Answer:

x= 9

Step-by-step explanation:

i got 9 by subtracting 54-45 and got 9 therefore x=9

One key difference between anorexia nervosa and bulimia is the type of nocive relationship patients with these disorders have with food.

These two are eating disorders, which means they are diseases that involve nocive or abnormal relationships with food.

Learn more about anorexia in: https://brainly.com/question/2681827

Answer:the one near 45 is 5 and the straight line is 4

Step-by-step explanation: