Calculate the length AB

Answer:

The path of a toy rocket is defined by the relation y=-3x^2+11x+4, where x is the horizontal distance, in meters, traveled and y is the height, in metres, above the ground.

Determine the zeros of the relation.

-3x^2 + 11x + 4 = 0

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3x^2 - 11x -4 = 0

Factor:

3x^2 - 12x + x - 4 = 0

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3x(x-4) + x-4 = 0

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(x-4)(3x+1) = 0

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x = 4 or x = -1/3

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f(x) = -3x^2+11x+4

How far has the rocket traveled horizontally when it lands on the ground?

4 ft.

==================

What is the maximum height of the rocket above the ground, to the nearest hundredth of a meter?

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max occurs when x = -b/2a = -11/(2*-3) = 11/6

height = f(11/6) = 14.083 ft

Answer:

6.6

Step-by-step explanation:

Answer:

6.6

Step-by-step explanation:

6 + 8 + 2 + 12 + 5 = 33

33 / 5 = 6.6

plz mark brainliest

Answer:

6%

Step-by-step explanation:

300 ÷ 3 = 100

18 ÷ 3 = 6

Answer:

23 m and 15 m

Step-by-step explanation:

THE BASE OF A RECTANGLE IS 8 M GREATER THAN THE HEIGHT, THE AREA MEASURES 65 SQUARE METERS HOW MUCH DO THE BASE AND HEIGHT MEASURE?

Let the height of the rectangle is h.

Base = 8+h

Area of the rectangle, A = 65 m²

We need to find the base and height of the rectangle. The area of a rectangle is given by :

A = bh

So,

[tex]65=(8+h)\times h\\\\65=8h+h^2\\\\h^2+8h-65=0\\\\(h-5)(h+13)=0\\\\h=5\ m\ \text{and}\ x=-13\ m[/tex]

Neglecting negative value, h = 15 m

Base  = 8+15 = 23 m

So, the base and height of the rectangle is 23 m and 15 m respectively.

Answer:

6/13

Step-by-step explanation:

Sweets received by Kari = 6

Total number of sweets = 6 + 7 = 13

Fraction of sweets received by Kari = 6/13

8,8,8 este primull!!!!!!! sper că te-am ajutat

Answer:

w = 98

n = 6

a = 18

Step-by-step explanation:

Question 1)

7 = w/ 14

All you need to do is multiply each side by 14 to find w:

7(14) = W

W = 98

Question 2)

42/n = 7

For this one, first multiply each side by "n":

42 = 7n

and then divide both sides by 7:

N = 6

Question 3)

All you need to do for this question is divide 324 by 18 to find "a":

324/18 = a

a = 18

I hope this helps!

-TheBusinessMan

Full question:

In a basketball game, Elena scores twice as many points as Tyler. Tyler scores four points fewer than Noah, and Noah scores three times as many points as Mai. If Mai scores 5 points, how many points did Elena score? Explain your reasoning

Answer and explanation:

We start from known to unknown. We know that Mai scored 5 points and so we work from here.

Since Mai scored 5 points and Noah scored three times as many points then Noah's score = 3×5= 15 points

Since Tyler scored four points less than Noah, Noah's score= 15-4= 11 points

Finally Elena's score is twice that of Tyler hence Elena's score =2×11= 22 points

Answer:

3x+6 is inverse of 3x-6.it is a additive inverse and if we add both we get 0.

Answer: y=−4/5x−4

Step-by-step explanation:

5y+4x=−20

Step 1: Add -4x to both sides. 4x+5y+−4x=−20+−4x 5y=−4x−20

Step 2: Divide both sides by 5.

y=−4/5x−4

Answer:

stop asking me like I'm doing school

Answer:

The answer is 1490

Step-by-step explanation:

u just throw the two zeros from the hundred to the back

The correct answer is,

[tex]1490.0[/tex]

Answer:

7c-3x-37 , this is correct answer

Answer:

14 blocks

Step-by-step explanation:

Answer:

a >= -3

Step-by-step explanation:

So A

Answer: freestyle

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

The first step is finding two points. (4,6) and (0,0) are two easy points to use.

To find the slope, find the change of y over the change of x.

(6-0)/(4-0) = 6/4 = 3/2

Answer:

y= 4

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

Most metal conduct electricity well. To be more specific, anything with conduction or "free" electrons will conduct electricity very well.

Answer:

Amount invested at 8% rate of interest = $11000

Amount invested at 9% rate of interest = $9000

Step-by-step explanation:

Let Amy invested amount in a account with 8% simple interest = $a

Then the interest gained after one year = [tex]\frac{\text{Principal amount}\times \text{Rate of interest}\times \text{Time}}{100}[/tex]

                                                                  = [tex]\frac{a\times 8\times 1}{100}[/tex]

                                                                  = 0.08a

Remaining amount for the investment = $(20000 - a)

Interest earned after one year with rate of interest 9%

= [tex]\frac{(20000-a)\times 9\times 1}{100}[/tex]

= $(1800 - 0.09a)

Total interest earned after 1 year = $1690

0.08a + (1800 - 0.09a) = 1690

1800 - 0.01a = 1690

0.01a = 110

a = $11000

Amount invested at 8% rate of interest = $11000

Amount invested at 9% rate of interest = $(20000 - 11000) = $9000

Answer:

Step-by-step explanation:

a)     No of outcomes= 7

       total no of outcomes= 10

       probability = no of outcomes/total no of outcomes

       =7/10

b)     4/10 ( since the outcomes could be 1,2,3,4)

c)     no 1 to 10 has 5 odd numbers

       so, probability = 5/10 = 1/2

d)    multiples of 3 from 1 to 10 are :-

      3,6,9= 3 no's

      so probability = 3/10

I think this is the solution. I don't think you are supposed to use PEMDAS.

Answer:

x = 6

Step-by-step explanation:

(5x-24)/2 = 3

2.5x - 12 = 3

2.5x = 15

x = 6

Answer:

Step-by-step explanation:

10(3)+2(10)(4)+2(3)(4)=30+80+24

                                =134

Answer:

What.... what do you need help with

Step-by-step explanation:

Explanation