A golf ball was hit and modeled by
-16x2 + 11x + 6 = 0
When will the golf ball hit the ground?
Round to the nearest hundreths
By using the quadratic formula, we can conclude that the golf ball will hit the ground at x = 0.5 seconds.
What is the quadratic formula?
The quadratic formula is a formula that gives the solutions of a quadratic equation in the form [tex]ax^2 + bx + c = 0[/tex], where a, b, and c are constants and x is the variable. The formula is:
x = (-b ± [tex]\sqrt{b^2 - 4ac}[/tex]) / 2a
This formula can be used to find the values of x that satisfy the quadratic equation.
To find when the golf ball will hit the ground, we need to find the value of x when the height of the golf ball is equal to zero. We can do this by solving the quadratic equation [tex]-16x^2 + 11x + 6 = 0[/tex] using the quadratic formula:
x = (-b ± [tex]\sqrt{b^2 - 4ac}[/tex]) / 2a
where a = -16, b = 11, and c = 6. Substituting these values, we get:
x = (-11 ± [tex]\sqrt{11^2 - 4(-16)(6)}[/tex] ) / 2(-16)
x = (-11 ± [tex]\sqrt{361}[/tex])/ (-32)
Simplifying this expression, we get:
x = (-11 ± 19) / (-32)
So the two possible values of x are:
x = 8/16 = 0.5 and x = 30/16 = 1.88
Since the height of the golf ball is equal to zero when it hits the ground, we can conclude that the golf ball will hit the ground at x = 0.5 seconds (rounded to the nearest hundredth).
To know more about quadratic formulas visit:
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Can anyone answer this?
To say that two or more angles are equal, we draw a little arc. If there are two arcs then it means that the angle with also two arcs marked is equal in measure, and so on
--> so:
∠A ≅ ∠Y
∠B ≅ ∠Z
∠C ≅ ∠X
To say that two more sides are equal, we draw a little tic mark. If there are two tics then it means that the sides with also two tics marked are equal in length, and so on.
--> so:
AB ≅ YZ
AC ≅ YX
BC ≅ ZX
And thus ΔACB ≅ ΔYXZ <-- we got this by matching corresponding angles of equal length
Hope it helps!
HELPPPPPPPPPPPPPPPPPPPPPPPPP
Help please this is due soon zzzzzzszzsszzndbdbdjdbdndn
P = 40 + 12 + 28 + 16 + 12 + 28
P = 136 ft.
Attached solved problem.
Consider marking "Brainliest".
Thank you.
What is the value of x?
o x=2
o x=3
o x=4
o x=6
Answer: x=3
Step-by-step explanation:
2.5 as a mixed number but the 5 is repeating
Answer:
[tex]2\frac{5}{9}[/tex]
Step-by-step explanation:
Hi !
2.(5) = 2 5/9
Good luck !
Find the measure of angle BAD 53% 21%
Answer:
Can I see a picture? Or the angle diagram?
Can someone please help?!
Answer:
Go to symbolab . com and enter in the problems, it will give you the answers and show you the steps it took to solve them
Step-by-step explanation:
The product of c and 3 is greater than -26
Answer:
The given phrase "The product of c and 3" can be converted into an algebraic equation as C (times) 3
Step-by-step explanation:
I might be wrong but i rlly hope this helps u in some way :)
Answer:
[tex]3c > -26[/tex]
Step-by-step explanation:
"The product of c and 3" means to multiply c with 3: [tex]c * 3[/tex] or [tex]3c[/tex]
"is greater than": [tex]>[/tex]
"-26": -26
Put the terms together:
"The product of c and 3 is greater than 3": [tex]3c > -26[/tex]
WHOEVER ANSER'S THIS WILL GET THE BRAINLESS!!!!!!!!! NEED ANSWER ASAP
Answer:
I think the last one?
Step-by-step explanation:
Solve for y when x = 2. y = 4x +2 * I REALLY NEED HELP HHDJDICUHDHHEI HELP ME BRUH
Answer:
y=10
Step-by-step explanation:
y=4x+2
y=4(2)+2
y=8+2
y=10
Answer:
y=10
Step-by-step explanation:
plug-in 2 to x
[tex]y=4(2)+2[/tex]
multiply 4 and 2
[tex]y=8+2[/tex]
add 8 and 2
[tex]y=10[/tex]
9^6/9^6 simplify please i need a lot of help
Answer:
The answer is 1
Step-by-step explanation:
(-3/8) times 1 times (-9/10) times -8/3
Step-by-step explanation:
-3/8 × 1 × -9/10 × -8/3
we know
- × - = +
+ × - = -
therefore, since we have 3 negative factors we get a negative result.
we can ignore the completely neutral multiplication by 1.
-3/8 × -9/10 × -8/3 = -(3×9×8)/(8×10×3) = -9/10
Me podrian ayudar con ese ejercisio por favor?? Me salvarian 4. Dadas las sucesiones de término general an = n + 3 y bn = 5n − 1 , realiza las siguientes operaciones: a) an – bn b) an + 3bn 5. Escribe los ocho primeros términos de la sucesión ( an ) dada por: a1 = 1, a2 = 1, an = an−1 + an−2
Explicación paso a paso:
Dado
an = n + 3
bn = 5n-1
a) an-bn = n + 3- (5n-1)
= n + 3-5n + 1
= n-5n + 3 + 1
= -4n + 4
an-bn = 4-4n
b) an + 3bn = (n + 3) +3 (5n-1)
= n + 3 + 3 (5n) +3 (-1)
= n + 3 + 15n-3
= n + 15n + 3-3
= 16n + 0
= 16n
an + 3bn = 16n
3) Dado a1 = 1, a2 = 1
an = an-1 + an-2
Debemos escribir los primeros ocho términos de la secuencia.
a3 = a3-1 + a3-2
a3 = a2 + a1
a3 = 1 + 1
a3 = 2
a4 = a3 + a2
a4 = 2 + 1
a4 = 3
a5 = a4 + a3
a5 = 3 + 2
a5 = 5
a6 = a5 + a4
a6 = 5 + 3
a6 = 8
a7 = a6-a5
a7 = 8 + 5
a7 = 13
a8 = a7 + a6
a8 = 13 + 8
a8 = 21
Por tanto, los primeros ocho términos de la secuencia son 1, 1, 2, 3, 5, 8, 13 y 21
Write two equivalent ratios to 10:14
Answer:
20:28 and 30:42
Step-by-step explanation:
Answer:
[see below]
Step-by-step explanation:
10/2 : 14/2 = 5:7
10 * 2 : 14 * 2 = 20:28
Hope this helps.
Which linear equation has no solution?
3/2 (9x +6) 3
5x + 12 = 5x -7
4x + 7 = 3x + 7
-3(2x - 5) = 15 - 6x
9514 1404 393
Answer:
5x + 12 = 5x - 7
Step-by-step explanation:
There will be no solution when the coefficients of x are the same on both sides of the equal sign and the constants are different. That is the case for ...
5x + 12 = 5x - 7
This reduces to ...
19 = 0 . . . . . no value of x will make this be true: NO SOLUTION
Find the sum 3x^2/x-8 + 6x/x-8
Answer:
Step-by-step explanation:
STEP
1
:
x
Simplify —
x
Equation at the end of step
1
:
(3•(x2))
————————+((6•1)-8)
(x-8)
STEP
2
:
Equation at the end of step
2
:
3x2
——————— + -2
(x - 8)
STEP
3
:
3x2
Simplify —————
x - 8
Equation at the end of step
3
:
3x2
————— + -2
x - 8
STEP
4
:
Rewriting the whole as an Equivalent Fraction
4.1 Adding a whole to a fraction
Rewrite the whole as a fraction using (x-8) as the denominator :
-2 -2 • (x - 8)
-2 = —— = ————————————
1 (x - 8)
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3x2 + -2 • (x-8) 3x2 - 2x + 16
———————————————— = —————————————
1 • (x-8) 1 • (x - 8)
Trying to factor by splitting the middle term
4.3 Factoring 3x2 - 2x + 16
The first term is, 3x2 its coefficient is 3 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is +16
Step-1 : Multiply the coefficient of the first term by the constant 3 • 16 = 48
Step-2 : Find two factors of 48 whose sum equals the coefficient of the middle term, which is -2 .
-48 + -1 = -49
-24 + -2 = -26
-16 + -3 = -19
-12 + -4 = -16
-8 + -6 = -14
-6 + -8 = -14
The figure below is formed from a trapezoid and a right triangle.
E
9 cm
F
15 cm
G
15 cm
12 cm
20 cm
H
What is the total area of the figure?
O A. 240 cm2
OB. 264 cm?
OC. 288 cm2
OD. 300 cm
Answer: I think 288
Step-by-step explanation:
the GCF of 44 and 20
Choose two numbers which absolute value of 5 1/2
Answer:
11/2,5.5
Step-by-step explanation:
I WILL GIVE BRAINLEST.Raquel has 4 brownies. She wants to give an equal share to each of her friends. How would Raquel share these brownies equally among herself and 5 friends? Use words, pictures, and an equation to explain your thinking.
Answer:
4/5 brownies for each person.
Step-by-step explanation:
4 brownies between 5 people equals 4/5, or 4 divided by 5.
Who ever gets it I will give 20 points and Brainly.
Answer:
104?
Step-by-step explanation:
pretty sure that's it 3x2 =6 10x11=110 but your painting around the window which it 6 ft so take 6 away and boom 104!
Answer:
104 ft²
Step-by-step explanation:
Given :-
Dimensions of wall = 10 x 11Dimensions of window = 2 x 3To Find :-
Area to be PaintedSolving :-
Area (painted) = Area (wall) - Area (window)Area (painted) = 10 x 11 - 2 x 3110 - 6104 ft²20. The diagram shows a supplementary angle. Determine the value of x. *
Answer:
C
Step-by-step explanation:
supplementary angles sum to 180° , then
3x + 15 + 60 = 180 , that is
3x + 75 = 180 ( subtract 75 from both sides )
3x = 105 ( divide both sides by 3 )
x = 35
The measures of the angles of a triangle are shown in the figure below . Solve for x
Answer:
180=90+63+4x+3
6=x
Step-by-step explanation:
whats 3x+27=39 will mark brainliest
Answer:
x=4
Step-by-step explanation:
Answer:
Step-by-step explanation:
5x+39=3x+27 i think your welcome :)
A train leaves Boston at 10:20 AM and arrives in Stamford at 1:00 PM. Find the distance between the stations if the average speed of the train is 60 mph
Answer: 160 miles
Step-by-step explanation: From 10:20 to 12:20 is 2 hours which is 120 minutes and it is 60mph so it is 1 mile per minute. 12:20 to 1:00 is 40 minutes so you add 40 to 120 which makes it 160. So the answer is 160 miles
Helena’s family drank 4,600 milliliters of milk for breakfast on Friday. On Saturday they drank 2 times as much milk as they did on Friday. how many liters of milk did they drink in total?
Answer:
9.2 liters of milk
Step-by-step explanation:
4600 * 2 = 9200
9200 milliliters = 9.2 liters
My teacher wants me to write the angles of a circle what are they?
Answer:
Well the only answer to this question that I can think of is 360 that's because all of the angles in a circle are equal to 360.
Step-by-step explanation:
HEY CAN ANYONE PLS ANSWER MY MATH QUESTION!!!!1
Answer:
The blue and yellow macaw is 33 inches long.
Step-by-step explanation:
If the toucan is 22 inches long and it's two thirds the length of the macaw you can divide by two to find what one third is.
22 ÷ 2 = 11
So then you have to multiply by 3 to find what the full length is.
3 x 11 = 33 inches
Hope that helps and have a great day!
Answer:
33 inStep-by-step explanation:
Let the length of the macaw be xThe length of the toucan is 22 inThen we have equation
x*2/3 = 22x = 22 ÷ 2/3x = 22*3/2x = 33 inBlue-and-yellow macaw is 33 in long
Please help fast!!! Part A How many solutions does the pair of equations for lines A and B have?
Explain your answer. (5 points)
Part What is the solution to the equations of lines A and B?
Explain your answer. (5 points)
Answer:
Part A: 1
Explain: The solution for a pair of lines is where they intersect.
Part B: (3,4)
Explain: (3,4) is the place where the lines intersect.