A cliff diver is 64 feet above the surface of the water. The formula for calculating the height (h) of the diver after t seconds is h = -16t2 + 64t How long does it take for the diver to hit the surface of the water?

Answer:

Value of x using quadratic formula (x = -4) and (x = -5)

Step-by-step explanation:

Given:

Equation

x² + 9x + 20 = 0

Find:

Value of x using quadratic formula

Computation:

Quadratic formula = [-b±√b²-4ac] / 2a

Given equation;

x² + 9x + 20 = 0

a = 1 , b = 9 , c = 20

By putting value

[-9±√9²-4(1)(20)] / 2(1)

[-9±√81-80] / 2

[-9±√1] / 2

(-9 + 1) / 2 , (-9 - 1) / 2

-8 / 2 , 10 / 2

-4 , - 5

Value of x using quadratic formula (x = -4) and (x = -5)

1. The X axis is the line going left and right

2. The Y axis is the line going up and down

3. The origin is the point where the X and Y axis meet; (0,0); by the 0

4. The points will be written as A, B, C. This is going from left to right. So the first box on the coordinate plane furthest to the left with be labeled with A. Then the second box furthest from the left; the middle box; will be labeled with B. Then the last box will be labeled C

5. (4,6)

6. (2,9)

7. (0,4)

8. When Allie identified the point, she mixed the X and Y coordinates. To identify a point you first want to find the point following the X axis. Then do the same with the Y axis. After doing this you should have 2 numbers, in which are 3 and 7. Now when writing the coordinates, the X axis ALWAYS comes first. So it should look like (7,3)

Step-by-step explanation:

The system of linear equations are , (i) y = 2x and (ii) y = x + 1 . We will find some coordinates and then we will plot its graph. The point where both Graphs will meet will be the solution of the graph .

• Finding coordinates of Equⁿ (i) :-

Step 1 : Put x = 0 :-

[tex]\tt y = 2x = 2(0) = \red{0}[/tex]

Step 2: Put x = 1 :-

[tex]\tt y = 2x = 2(1) = \red{2}[/tex]

[tex]\boxed{\begin{array}{c|c|c} \bf x & \tt 0 &\tt 1 \\ \bf y &\tt 0 & \tt 2 \end{array}}[/tex]

_________________________________

• Finding coordinates of equⁿ (ii) :-

Step 1 : Put x = 0 :-

[tex]\tt y = x + 1 = 1 + 0 = \red{1}[/tex]

Step 2: Put x = 1 :-

[tex]\tt y = x + 1 = 1 + 1 = \red{2}[/tex]

[tex]\boxed{\begin{array}{c|c|c} \bf x & \tt 0 &\tt 1 \\ \bf y &\tt 1 & \tt 2\end{array}}[/tex]

Now plot these points on the graph Taking appropriate scale . Refer to the attachment in graph . From graph the Solution is (1,2) .

Answer:

15

Step-by-step explanation:

3/4(20/1) = (3*20)/(4*1)

60/4

15

Answer:

11 cm

Step-by-step explanation:

a= l x w

88= l x 8

88/8= 11

so ll cm is the width of the napkin

Answer:

10 coconut cupcakes.

Step-by-step explanation:

Answer:

1000000000000 is the answer.

Step-by-step explanation:

Answer:

the answer is 40 for the first one and 20 for the second one

Step-by-step explanation:

just did it and it was right

Answer:

40, 20

Source:

Trust me bro

Answer:

in 7 minutes he solve 10 problems

he solve one problem in = 7/10= 0.7 minute

he solve 35 problem in = 0.7x35= 24.5 minute

Step-by-step explanation:

hope it helps ❤️

Answer:oh it is - 5 I had this in my questions for homework

Step-by-step explanation:you have to multiply and subtract and do that many times

Answer:

There are 125 very thin branches.

Answer:

8÷100×3.25

=£0.26

hope it is helpful to you

Step-by-step explanation:

8÷100×3.25

=0.26

espero ter te ajudado

(6x-5)-(-x-4)

6x-5=x+4

6x-x=4+5

5x=9

Answer:

See below

Step-by-step explanation:

Parallel lines have the same slope.

13) The slope would still be 2/3

14) The slope would still be 9/5

s.a=C.A xH

v of n.o.2 =lxwxh

Step-by-step explanation:

v of no.3=πr2h and s.a=πdh

no.1=area of cross section x area of all faces and v=area of cross section x length

try those ones

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

2, -1

Step-by-step explanation:

Personally i think that if you use the pi symbol it would be more accurate because on a calculator there is an pi symbol √ which is the same it will give you an answer closer to an whole number.

Answer:

= 2x + 3

Step-by-step explanation:

have a nice day!! :)

Answer:

-5 and 3

Step-by-step explanation:

(-(-2) +/- √(4- (4(1)(-15))) ÷ 2

(2 +/- √64 )÷ 2

(-2+8) ÷ 2 = 3

(-2 -8) ÷ 2 = -5

Answer:

nice

Step-by-step explanation:

Answer:

x=32

Step-by-step explanation:

So a triangles angles add up to 180 degrees. . .

2x+116=180

64=2x

x=32

Answer:

y = 9.5 or 19/2

Step-by-step explanation:

4y - 18 = 20

Add 18 to both sides.

4y = 38

Divide by 4.

y = 9.5 or 19/2

Answer:

34

Step-by-step explanation:

4y-18=20

+18 +18

________

4y=38

/4

________

9.5

Step-by-step explanation:

2x 3x5 = 30 ÷ 3 = 10

hope this helps

Answer:

C

Step-by-step explanation:

Well to do this we can eliminate answers that seem unreasonable and just calculate the ones we think might be it

We know it can't be the first one or the second since its perimeter isn't 32

It could be the third one so we can check the perimeter

3+3+16+16=38

so it is the third one

Answer:

x = 10.3

y = 5.8

Step-by-step explanation:

To find both x and y, you can use the formula [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

a and b would be the sides that touch the right angle

so to find x, you would do [tex]9^{2}[/tex] + [tex]5^{2}[/tex] = [tex]x^{2}[/tex]

this would be: 81 + 25 = [tex]x^{2}[/tex]

then add it and you get: 106 = [tex]x^{2}[/tex]

now do the square root of 106 to get: 10.3 = x

Now plug in your other values to get y: [tex]5^{2}[/tex] + [tex]3^{2}[/tex] = [tex]y^{2}[/tex]

do the same thing here: 25 + 9 = [tex]y^{2}[/tex]

add your numbers: 34 = [tex]y^{2}[/tex]

square root 34: 5.8 = y

Answer:

[tex]30ft[/tex]

Step-by-step explanation:

So, since the scale is 1:5, 1 ft is actually 5 feet.

[tex]6ft=6[/tex]×[tex]5. 6x5=30[/tex]