Rafael drops a ball from the third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds.

h = -5t² + 45

When is the ball at ground level?​

Answer:

11 Tenths

Step-by-step explanation:

Withouth the tenths, the bottom number would be 1.05. So we need 1.10 or 11 more. 10 tenths is one whole plus the 1 tenth we need to put in the tenths place.

Answer:

Step-by-step explanation:

[tex]\dfrac x{x+2}-\dfrac4{x-2}=1\qquad\qquad\qquad x\ne2\ \wedge\ x\ne-2\\\\\\ \dfrac {x(x-2)}{(x+2)(x-2)}-\dfrac{4(x+2)}{(x-2)(x+2)}=1\\\\\\ \dfrac {x^2-2x-4x-8}{x^2-4}=1\\\\ \\\dfrac {x^2-6x-8}{x^2-4}=1\quad\iff\quad x^2-6x-8=x^2-4\\\\x^2-6x-8=x^2-4\\\\-6x-8=-4\\\\-6x=4\\\\x=-\frac46\\\\x=-\frac23[/tex]

The solution to the equation is x = -2/3.

Two or more expressions with an equal sign are defined as an equation.

The given equation is  [tex]\frac{x}{x+2}-\frac{4}{x-2}=1[/tex].

Solve the equation as follows:
[tex]\frac{x}{x+2}-\frac{4}{x-2}=1\\\\\frac{x(x-2)-4(x+2)}{(x+2)(x-2)}=1\\\\\frac{x^2-2x-4x-8}{x^2-4}=1\\\\x^2-6x-8= x^2-4\\\\-6x = 8-4\\\\6x = -4\\\\x=-\frac{2}{3}[/tex]

Hence, the solution to the equation is x = -2/3.

Learn more about equations here:

https://brainly.com/question/10413253

#SPJ5

Step-by-step explanation:

Here, slope= 4/5 , As y= mx+c

according to formula, y-y1= m(x-x1)

y-6= 4/5(x+6)

5/4 (y-6)= x+6

5/4y - 15/2= x+6

x- 5/4y + 27/2 =0

Answer:

14. y=10

Step-by-step explanation:

3y-7=23

   +7   +7

3y=30

----  -----

3       3

y=10

Answer:

Step-by-step explanation:

[tex]3y-7=23[/tex]

Collect like terms and simplify

[tex]3y =23+7\\3y=30[/tex]

Divide both sides of the equation by 3

[tex]\frac{3y}{3} = \frac{30}{3}[/tex]

Simplify

[tex]y=10[/tex]    

2.

[tex]\frac{3(j-1)}{2}=12 + \frac{2-j}{4} \\\\\mathrm{Multiply\:by\:LCM=}4\\\\\frac{3\left(j-1\right)}{2}\times\:4=12\times\:4+\frac{2-j}{4}\times\:4\\\\Simplify\\6\left(j-1\right)=-j+50\\\\Expand\:6\left(j-1\right) :6j-6\\\\6j-6=-j+50\\\\\mathrm{Add\:}6\mathrm{\:to\:both\:sides}\\6j-6+6=-j+50+6\\\\Simplify\\6j=-j+56\\\\\mathrm{Add\:}j\mathrm{\:to\:both\:sides}\\6j+j=-j+56+j\\\\Simplify\\7j=56\\\\\mathrm{Divide\:both\:sides\:by\:}7\\\frac{7j}{7}=\frac{56}{7}\\\\Simplify\\j=8[/tex]

Answer:

x = -10

3(x + 4) = -18

3x + 12 = -18

3x + 12 = -18

3x = -18-12

3x = -30

x= -30/3

x = -10

Step-by-step explanation:

[tex]3(x + 4) = - 18 \\ (x + 4) = \frac{ - 18}{3 } \\ (x + 4) = - 6 \\ x = - 6 - 4 \\ x = - 10[/tex]

Answer:

110x5019.2 is equal to 552169.2

Answer:

180

Step-by-step explanation:

x+10, 2x+15, and 3x-13. what are the degree measures of the angles of the triangle? The sum of the measures of the angles of triangle = 180 degrees.

Answer: p= 25 • 3^n

Step-by-step explanation:

Answer: 4.00

Step-by-step explanation: There are 60 minutes in 1 hour. So, 60/15 gives you your answer. 60/15 = 4, but it says write it as a decimal. So, your answer will be 4.00.

Answer: From what I understand you want me to do 7*(-15)??? and the answer to that is -105.

Step-by-step explanation: All you have to do is 7*-15  

Answer:

55 points

Step-by-step explanation:

110% = 1.1

50 x 1.1 = 55

Answer:

55 points.

................

Answer:

343 feet

Step-by-step explanation:

Answer:

Step-by-step explanation:

P =$ 1300

R = 5% = 0.05

T = 6 years

I = P * R *T

 = 1300 * 0.05 * 6

 = $ 390

Answer:

I think it is the right triangle

Answer:

180+54sqrt3

You have to use the formula that is contained within the lessons, the answer you should have before you format it like this is: 273.530743609

Answer:

r = 1/2n + 3

Step-by-step explanation:

Are there answer choices to choose from?  

This is how you would isolate the r:

4r = 2n + 6 + 6 so 4r = 2n + 12

Solve for r by dividing both sides by 4  so r = 1/2n + 3

Answer:

-2=2n+6

2n=2-6

2n=-4

n=-2

Answer:

The moon has moved past the full moon and is moving toward the third quarter.

Step-by-step explanation:

Answer:

Step-by-step explanation:

x^2-16/x^4-x^3

Factor x^4-x^3:

=x^2-16/x^3(x-1)

x^3(x-1)

Factor x^2-16;

(x+4)(x-4)

=(x+4)(x-4)/x^3(x-1)

Answer:

0.82 = 82/100

simplified= 41/50

Step-by-step explanation:

Answer:

.8

Step-by-step explanation:

you can round, and since two is a number lower than five, the number stays the same so...

.8

Answer: 158

Step-by-step explanation:

158.297

It rounds to 158

since 0.297 < 0.5

Answer:

-3.8

Step-by-step explanation:

1.6(2.5-10) + 8.2

1.6(-7.5) + 8.2

-12 + 8.2

-3.8

Answer:

-3.8

Step-by-step explanation:

1.6 * 2.5 = 4

1.6*-10 = -16

4-16+8.2

4-16 = -12

-12+8.2 = -3.8

Answer:

There are three more square chocolates left

Step-by-step explanation:

We know that Irena breaks off 2 complete strips and eats 12 meaning each strip had 6 squares. Jack breaks off 9. So if we add all the squares into rows of 6, we get four strips of chocolate from the beginning. Since Jack and Irena obtained 21 chocolate squares altogether, we have 3 chocolate squares that are remaining. I hope this helps ;)

The number of Squares of chocolate left in the bar is; 15 squares

A square has 4 equal sides and since one row contains 6 squares because irena ate 2 complete rows that had 12 squares.

It means that each of the vertical height must also contain 6 squares as well.

Now, two rows are gone and so we now have 4 rows with vertical height of 4 squares. That is 24 squares left.

Now, Jack ate 9 squares and so;

Amount of squares left = 25 - 9 = 15

Read more about Remaining Area at; https://brainly.com/question/13048427

Answer:

=−259x−2y+24

Step-by-step explanation:

Distribute:

=−12x+4y+−6y+10x+−255x+(−2)(x)+(−2)(−12)

=−12x+4y+−6y+10x+−255x+−2x+24

Combine Like Terms:

=−12x+4y+−6y+10x+−255x+−2x+24

=(−12x+10x+−255x+−2x)+(4y+−6y)+(24)

=−259x+−2y+24

Answer:

=−259x−2y+24

Hope this helps emmy! or emma

(sorry I like calling you emmy)

Answer:

105 , 245

Step-by-step explanation:

Ratio = 3 : 7

3x , 7x

3x + 7x = 350

         10x = 350

             x = 350/10

            x = 35

3x = 3*35 = 105

7x = 7 *35 = 245

Answer:

[tex]m = 3 \sqrt{12} [/tex]

[tex]n = 6[/tex]

Step-by-step explanation:

n=1/2 of 12 according to the rule:

right triangle the side opposite the 30 degree angle is half the length of the hypotenuse.

so n=12/2=6

and now we will need Pythagorean theorem : the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

so

[tex] {m}^{2} + {n}^{2} = {12}^{2} [/tex]

now lets put numbers on formula

[tex] {m}^{2} + {6}^{2} = {12}^{2} [/tex]

from this formula m=

[tex]m = \sqrt{ {12}^{2} - {6}^{2} } = \sqrt{144 - 36} = \sqrt{108} = 3 \sqrt{12} [/tex]