The path of a projectile launched from a 26-ft-tall tower is modeled by the equation y = −16t2 + 64t + 26. What is the maximum height, in feet, reached by the projectile?

Answer:

Alexandra drove 980 miles

Step-by-step explanation:

70×14=980

Answer:

[tex] \displaystyle ( x_{1},y_{1}) = (0.82, - 3.18) \\ ( x_{2},y_{2}) = ( - 0.82, - 4.82)[/tex]

Step-by-step explanation:

we are given a system of quadratic and linear equation

we want to figure out x and y

in other words the coordinates where the linear function intercept quadrilateral function

to do so

you can use substitution method

since y equals to both equation so substitute:

[tex] \displaystyle {3x}^{2} + x - 6 = x - 4[/tex]

move right hand side expression to left hand side and change its sign so there's only 0 left on the left hand side:

[tex] \displaystyle {3x}^{2} + x - 6 - x + 4= 0[/tex]

simplify addition:

[tex] \displaystyle {3x}^{2} -2=0[/tex]

add 2 to both sides:

[tex] \displaystyle {3x}^{2} = 2[/tex]

divide both sides by 3

[tex] \displaystyle \frac{ {3x}^{2} }{3} = \frac{2}{3} [/tex]

[tex] \displaystyle {x}^{2} = \frac{2}{3} [/tex]

square root both sides:

[tex] \displaystyle {x} = \sqrt{\frac{2}{3} } \\ x = \frac{ \sqrt{2} }{ \sqrt{3} } [/tex]

rationalise the denominator by multiplying √3/√3:

[tex] \displaystyle x = \pm\frac{ \sqrt{6} }{3} = \pm0.82[/tex]

now let's figure out y

substitute the value of x to the linear equation:

[tex]y = \pm0.82 - 4[/tex]

when positive

[tex]y = - 3.18[/tex]

when negative

[tex]y = - 4.82[/tex]

Answer:

(x1,y1) = (0.82, - 3.18)

(x2,y2) = (-0.82, -4.82)

Step-by-step explanation:

Plato gang

Answer:

0 is not in domain

5 is not in domain

10 is in domain

Step-by-step explanation:

10 is in domain because inputting 10 into the function gives an output of 0

0 is not in th domain because 0 gives us the square root of a negative number, and the quare of a negative number isnt a real number

5 is not in the domain for the same reason

Answer:

No image please add it on your next question.

Answer: x= 2(2+sqrt(10)) , x=2(2-sqrt(10)

Step-by-step explanation:

x^2-8x=24 <- subtract 24 from both sides

x^2-8x-24 <- take quadratic formulat (-2+/- Sqrt(b^2 - 4ac)/2a

-(-8) +/- sqrt((-8)^2 - 4(1*-24) all over (2*1) <- simplify

(-(-8) +/- 4sqrt(10) )/2 <- sepereate

(-(-8) +/4sqrt(10) )/2 ,  (-(-8) - 4sqrt(10) )/2 <- simplify

2(2+sqrt(10)) , 2(2-sqrt(10) =x

Answer:

D

Step-by-step explanation:

Answer:

Line B

Step-by-step explanation:

Rise over Run, rise -2 run 1.

Answer: Volume because this is filling something in not covering something up.

Step-by-step explanation:

Answer:

C = D all real Numbers ; R y>= -2

Step-by-step explanation:

for discover the domain we have to look the x axis and check for what x the graph exist. If we look this graph we can see that there are two solid lines.

the two arrows indicate that the graph continues both to left and to the right

so the domain is all real numbers

for the range we have to check the y axis. If we look at the graph we can see that under -2 there is nothing, while up -2 the graph continues to raise,

so the range is y>= -2

so the final answer is C

An example of a compound event is an event of having rolled two dice getting 6 on each. A compound event can consist of independent elementary events. This is the case when the result of any one elementary event does not have any influence on the result of another. An example with two dice above is such a compounded event.

Answer:

56 (positive, not negative)

Step-by-step explanation:

she will pay off the debt from the original amount she owed using part of the $100. With the debt being payed off , the remainder will be $56.

in other words ;

100+54= 56.

Henceforth , the number 56.

thank you!

Answer:

364 hundredths÷7

Step-by-step explanation:

3.64=364/100= 365 hundredths

Answer:

209 yan ang sagot brainliest po

Answer:

x = 15

Step-by-step explanation:

37*2 = 74

360-74 = 286

286 = 2(9x + 8)

143 = 9x+8

135 = 9x

15 = x

Answer: 80.7

Step-by-step explanation:

From the question, we are informed that in the week leading up to Christmas the galaxy shopping center gives away 6700 candy canes to first 83 children that visits the center and that each child gets same number of candy canes.

If it's shared equally among the children, each child will get:

= 6700 / 83

= 80.7 to the nearest tenth.

Answer:

I believe that you are correct.

Step-by-step explanation:

Answer: the correct answer is answer (4) (2,4)

Step-by-step explanation:

I hope you get it right :)

Answer: I think the answer might be 9.28.

Step-by-step explanation:

I was also confused with this question so I might be wrong.

Using the information provided above I was able to conclude that two possible equations you can form is A+B=17.18, where there is only 1 stock from company A and 1 stock from company B. The other equation is 52A+65B=1,014 since this is the total amount she spend on the stocks.

You can use Desmos to graph both of the equations or solve it by hand. If solving it by hand chose which method you wanna use wether it is elimination or substitution. (I would explain the process, but I am lazy)

ANYWAYS HOPED THIS HELPED :)

Answer:

288cm²

Step-by-step explanation:

The volume of a rectangular prism can be easily calculated by multiplying the height by the width by the length

Assuming that the lengths given ( 6cm, 4cm and 12cm )  are the width, height and length

If so then the volume is equal to 6 * 4 * 12

6 * 4 = 24

24 * 12 = 288

volume = 288cm²

Answer:

The answer is 288

Step-by-step explanation:

I don't want to go into detail because the first guy already did., but check your formulas and what you are given and find the answers

Answer:

x=31

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees.

So, 2x+28=90.

To solve:

1. Subtract 28 from both sides

2x=90-28

2x=62

2. Divide both sides by 2

x=62/2

x=31

Answer:

hope this help you a lot but it's too late

can you mark me as brainlist

Answer:

-3

2 is the answer

Step-by-step explanation:

hope it helps

The required pairs of coordinates are  [tex]\left[\begin{array}{ccc}1&1&-3\\-1&2&2\end{array}\right][/tex]

If we rotate a triangle 90° counter clockwise about the origin,

Then if one of its vertices be (x, y), it will be changed to (-y, x).

After rotating the given triangle 90° counter-clockwise about the origin,

The vertex (-1, -1) becomes (1, -1)

The vertex (2, -1) becomes (1, 2)

So, the vertex (2, 3) will be (-3, 2)

∴ The required rotated vertices are  [tex]\left[\begin{array}{ccc}1&1&-3\\-1&2&2\end{array}\right][/tex]

Learn more about rotating triangle here :

https://brainly.com/question/1093215

#SPJ2

Answer:20

Step-by-step explanation: 17+24+26+13=80

Divide by how many numbers there are. Answer: 20

Answer:

20

Step-by-step explanation:

Mean = Sum divided by the number of terms

(17+24+26+13)/4

(80)/4 = 20

Mean = 20

Answer:

La suma de cifras del producto original es igual a 12.

Step-by-step explanation:

De acuerdo a la información proporcionada, si multiplicas un número "x" por 32 su resultado sería igual al producto original "y" más 54 dado que dice que se obtiene un producto mayor en 54 al producto original, lo que se puede expresar de la siguiente forma:

32x=y+54

Además, se puede inferir a partir del enunciado que si el número x se hubiera multiplicado por 23 el resultado habría sido el producto original que lo denominamos como "y", por lo que puedes decir que:

y=23x

Ahora puedes reemplazar y=23x en 32x=y+54 y despejar x:

32x=23x+54

32x-23x=54

9x=54

x=54/9

x=6

Finalmente, puedes reemplazar el valor de x en y=23x:

y=23x

y=23*6

y=138

Suma de cifras: 1+3+8 = 12

De acuerdo a esto, la respuesta es que la suma de cifras es igual a 12.

240 I'm pretty sure

cause the whole circle is 360 and the minor arc is 120 so subtract it