Mathematics High School

3. A soccer player heads a ball from a height of 6 feet with an initial vertical velocity of 20 feet per second. The height h in feet of the ball is given by h= –16t + 20t +6,
where t is the time elapsed in seconds. How long will it take the ball to hit the
ground if no other players touch it? State the method you used to solve this
quadratic equation and why you chose that method.

Answers

Answer 1

Answer:

Part A

1.5 seconds

Part B

By substitution and factorization because h = 0 at ground level

Step-by-step explanation:

Part A

The height from which the soccer player heads the ball, h = 6 feet

The initial velocity of the ball, v = 20 ft./s

The height of the ball in feet, h = -16·t² + 20·t + 6

From the given equation of the ball, we have;

At the initial height, t = 0, from the given equation, h = 6

At the ground level, the height, h = 0, therefore, we get;

0 = -16·t² + 20·t + 6

Factorizing using a graphing calculator gives;

0 = 2 × (-8·t² + 10·t + 3) = -2 × (8·t² - 10·t - 3) = -2 × (2·t -3)·(4·t + 1)

∴ (2·t -3)·(4·t + 1) = 0

t = 1.5 or t = -1/4 = -0.25

Therefore;

The time it takes the ball to hit the ground, t = 1.5 seconds.

Part B

The method used in solving the given quadratic equation is by plugging in the value of 'h' as h = 0 in the given equation and factorizing the result because at ground level, the height, h = 0.

Related Questions

is it a solution or not
y = 2x
y = x + 1

Answers

No its not.
Y = 2x
But y=/= x+1
Because 2x = x+x
= 2*x
But 1+x is not 2x
Let x be 5
2x = 2*5 = 10
Y = 10
but,
1 + 5 =/= 10
So y = 1+6

Giving brainlist to whoever answers

Answers

Answer:

45 i believe

Step-by-step explanation:

You use its sides to plug into the formula of base area of a rectangular prism = Area =length x width. Your final answer would be 45 (9x5).

Factor the expression
9x - 36

Answers

9(x-4) is the correct answer

Answer: 9(x−4)

Step-by-step explanation: Hope this help :D

What is the Area of the compound shape below? *

Answers

Answer:

22m²

Step-by-step explanation:

2 wide, 9 height is 18 for the rectangle figure. We see that the rectangle figure has a width of 2 while the entire width is 4. So 4-2 means the width of the right triangle that's split off is 2.

We see the rectangle height is 5, and total figure is 9, so 9-5 = height of 4 for the triangle.

4x2 x 1/2(since its a triangle) = 4

4+18 = 22

Jan says that a rhombus is a parallelogram and that every parallelogram is also a rhombus. Is Jan correct?

Answers

Answer:

Step-by-step explanation:

A parallelogram has opposite sides parallel and equal in length. Also, opposite angles are equal. Squares, rectangles, and rhombuses are all parallelograms. So all parallelograms are not rhombuses.

Tyra’s father is two years more than three times as old as she is. If Tyra is nine years old, how old is her father?
A-29
B-27
C-17
D-18
E-32

Answers

Answer:

A - 29

Step-by-step explanation:

she is Nine so

her dad will be

2+9×3

2+27

Answer:

hi how are you doing today Jasmine

Bailey ran 1 mile and 14 yards.How many total feet did bailey run?
A.1,774 feet
B.5,280 feet
C.5,294 feet
D.5,322 feet

Answers

Answer:

D. 5,322

Step-by-step explanation: 5280 feet in 1 mile, 42 feet in 14 yards

Answer:

D: 5,322

Step-by-step explanation:

There are 5280 feet in a mile and 42 feet in 14 yards add them and you get 5,322

choose 3 values that would make this inequality true 28 + x > 42
100
0
13
15
5
14
24

Answers

Answer:

100, 15, 24 I think that is it

Step-by-step explanation:

Answer: 100, 24, 15

Step-by-step explanation:

28+100= 128, 128>42

28+24=52, 52>42

28+15=43, 43>42

Find the area of the compound figure. Round your answer to 2 decimal places if required. (Use π = 3.14)

Hello! I’ve been stuck on this problem for a while and—though I know the answer—I’m not sure how to get to it? Please help!

Answers

Answer:

Perimeter is 3 + 3 +3 +4 +5 = 18 feet

Area = 3*3 = 9, 1/2*3*4 = 6, 9 + 6 =15 square feet

perimeter = 2.5 +2.5+ 2.5+2.5+0.5+0.5 = 11 meters

Area = 3*.5 = 1.5, 3*2=6, 6+1.5 = 7.5 square meters

perimeter = 3.14*2*3 = 18.84 +8 = 26.8 inches

Area = 6*4 = 24 + 3.14*3^2 = 28.26 = 28.26 +24 = 5

Michelle has a piece of yarn measuring 7 yards. How many 1-inch strips can be cut from the yarn?

A) 252 strips
B) 216 strips
C) 180 strips
D) 144 strips

Answers

Answer:

Step-by-step explanation:

Three plus the number a is greater than or equal to 19

Answers

Answer:

a[tex]\geq[/tex]16

Step-by-step explanation:

3+a[tex]\geq[/tex]19

-3 -3

a[tex]\geq[/tex]16

(see below) (The line I drew represents where a is and if it is to be greater or equal to it must be 16 or over)

WILL GIVE BRAINLIEST!!!!!!!!!!!! 20 points

Answers

Answer:

if they are same exact thing but mirrored, then just mirror it the way it needs to.

Example

-1 in the second by -3.4, 3.4 by 1

Which statement is true?

Answers

Answer:

B is the correct answer

Step-by-step explanation:

Find the value of x.

A.18
B.15
C.16
D.19

PLEASE HELP!!!!!

Answers

Answer:

x = 19

Step-by-step explanation:

123°+3x = 180°

3x = 180°-123°

3x = 57

x = 57/3

x = 19

The reason why we use 123° + 3x = 180° because both are adjacent angles. Adjacent angles add up to 180°

One question PLZZZZZZZZZZZZ help

Answers

Step-by-step explanation:

30 ==> 8 + (30×3) = 8+90= $98

for $112 =

(122-8)÷3

= 114 ÷ 3 = 38 people

Patti records the heights and the shoe sizes of the girls on her volleyball
team. She plots the data and makes a scatterplot comparing shoe size and
height. Patti finds that the trend line that best fits her results has the equation
y= 2x + 52.
If a girl on her team wears a size 3 shoe, how many inches tall would Patti
expect her to be?
A. 58 inches B. 60 inches. C. 64 inches D. 62 inches

Answers

Answer:

58 inches

Step-by-step explanation:

Just did it

Answer:

( A ) p 3 x

Step-by-step explanation:

Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

Answer:

(x+9)(x+10)

Step-by-step explanation:

9*10=90

9+10=19

Answer:

(x+9)(x+10)

Step-by-step explanation:

Explanation in Image,

Btw the links are Viruses, DO NOT DOWNLOAD ANYTHING FROM THEM

they are bots going around brainly trying to make people download viruses from them, I hate them too btw, I feel you.

Which equation is equal to 4a + 2b = 10?

options:
b = -2a + 10
b = 2a + 10
b = -2a + 5
b = 2a + 5

Answers

b = -2a + 5
good luck :)))

What is the area of the figure below?

Answers

1/2 x b x h = 36 , like if u find that please :) .

find the range 7,6,5,9,5,8,2 please include work!!

Answers

Answer:

Step-by-step explanation:

Range = highest value - lowest

= 9 - 2

= 7.

help with these all no links- I MEAN IT! and no oh i just came for the points cr_ap brainlyest if correct

Answers

Answer:

Least value = 5

Median = 56, option C

Median = 113, option C

A = 10, the minimum point

Q1 = 99.5, the median of the lower half of data, option C

Hi guys I need your help here I'll give 100 points and also brainiest no link's please I need this by today thank you : )

Answers

Answer:

CD ║ EF and ED is transversal, hence

∠CDE ≅ ∠FED ⇒ m∠CDE = m∠FED ⇒ m∠CDE = 28° as alternate interior anglesm∠CDB = 160° - 28° = 132°

We can see that:

m∠CDB + m∠ABD = 132° + 48° = 180°

Since the angles CDB and ADB sum to 180, these are consecutive interior angles, therefore AB and CD are parallel lines.

PU and QT are parallel and PT is transversal, therefore:

∠UPT ≅ ∠QTP as alternate interior anglesm∠UPT = m∠QTP = 42° or x = 42°

Now find the missing angles of ΔQTP

x + 40° = 42° + 40° = 82°y = 180° - (42° + 82°) = 56°

Now, we see that:

m∠TPQ = 82°m∠SQR = 82°

As ∠TPQ ≅ ∠SQR these angles are corresponding angles.

Therefore PT and SQ are parallel lines.

which scatterplot represents the data given in the table which is the weight of a boy as he gets older

Answers

Answer: A.

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

HELP ITS URGENT
a. b. c. or d.???

Answers

Answer:

It's the last option, (a-c)√x + b√y

Step-by-step explanation:

_5) How does the “x + 1" affect the graph in the equation: y = } • (4)*+1 – 37
A) Left 1
B) Right 1
C) Up 1
D) Down 1

Answers

Answer:

immma send you the link friend me on here Step-by-step explanation:

Find the area for a triangle that has a base of 24 inches and a height of 4 inches.

28 in 2
48 in 2
cannot be determined
96 in 2

Answers

Answer:

48in²

Step-by-step explanation:

to find the area of a triangle you first divide the base by 2 then multiply it by the height

Which is the perimeter of the shape? (1 point)

Answers

Answer:

16 ft

Step-by-step explanation:

To find the perimeter of a square you must:

1. add all of the lengths together (4+4+4+4=16)

Have a great day.

16 because you just add 4<*<£|~£,*,%~>|>{~^?^?^?^?^\¥.

State if the two triangles are congruent. If they are, state how you know.

Answers

Not congruent because first triangle is side angle side . The triangle on the right is NOT side angle side therefore not congruent

36x+27y in factored form

Answers

9(4x+3y) there you go

Part A A
Select the number that is greater
15x15x15 or
13x13x13
Help!

Answers

Answer:

15x15x15

Step-by-step explanation:

13x13x13= 2197

15x15x15= 3375

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