When a football is punted, it goes up in the air, reaches a maximum altitude, and then comes back down. We can assume that the football follows a parabolic path. When the ball was kicked it was one foot above the ground. One second later, it was 20 feet above the ground. Four seconds after it was kicked it was 35 feet above the field.
What is the quadratic equation?
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Answer
look ate image i just send u that´s the answer on the pice of paper
Step-by-step explanation:
The equation of the parabola is given by y=x²+19
What are quadratic equations?A quadratic equation can be written in the standard form as ax2 + bx + c = 0, where a, b, c are constants and x is the variable. The values of x that satisfy the equation are called solutions of the equation, and a quadratic equation has at most two solutions.
Given here: In t=1 sec the football's height was 20 feet and for t=4 the height of the football was 35 feet.
Let the path of the football be a parabola and facing downward.
Thus the equation of the parabola must be y=-4ax²+c
But the parabola passes through the points (1,20) and (4,35)
Thus substituting the points on the equation of the parabola we get
20=-4×1²×a+c & 35=-4×4²a+c
20=-4a+c &35=-64a+c
Solving for a we get
a=-1/4
Thus c=19
∴The equation of the parabola is given by
y=x²+19
Hence, The equation of the parabola is given by y=x²+19
Learn more about the quadratic equation here:
https://brainly.com/question/17177510
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hi please help i’ll give brainliest please
Answers
Step-by-step explanation:
it will be 6×6×6 .
I wonder if 3×3×3×3×3×3 will count. I think it won't.
good day^^
Please help. Fill in the blanks
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Answer:
Step-by-step explanation:
1). 3x(2x - 2) = 3x(2x) + 3x(-2) [By distributive property]
2). x²(_ + 5x - 3) = (3)x² + x²(5x) + x²(-3)
3). _(x² - 3x + _) = x(x²) - (x)(-3x) + (x)(2)
4). (2x + 9)(x + 2) = 2x(x + 2) + 9(x + 2)
= 2x² + 4x + 9x + 18
= 2x² + 13x + 18
5). (z - 4)(2z + 1) = z(2z + 1) + (-4)(2z + 1)
= 2z² + z - 8z - 4
= 2z² - 7z - 4
In square ABCD, AC = 6x + 10, and BD = 10x + 2. What is the length of AC?
Hint: Diagonals are congruent, hence AC = BD
A)11
B)22
C)3.5
D)2
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Answer:
B) 22
Step-by-step explanation:
AC = BD
6x+10 = 10x+2
simplify:
subtract 6x and 2 from both sides:
4x = 8
x = 2
then:
AC = 6(2)+10 = 22
help what is 5+5 i need this `in 1 minit
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Answer:
10
Step-by-step explanation:
I hope you remember this. 5+5=10
1
Solve for x ( and V)
2
Show Your Work
14
48
X
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Use pythagoras theorem
x² = 48² + 14²
x² = 2500
x = √2500
x = 50
What is the slope of the line that contains the point (3, 9) and (3, 4)?
A) 6/5
B) 6/13
C) Zero
D) Undefined
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Answer:
D) Undefined slope
Step-by-step explanation:
Note that the x-coordinate (3) of both given points is 3. This means that the two points lie on a vertical line. The slope of a vertical line is undefined.
The correct answer is D) Undefined slope
A clothing store has sold $300 in shirts and plans to sell enough jeans to exceed its goal of $500. each pair of jeans cost $40.
Write a linear inequality to find how many pairs of jeans, j, the clothing store emplyees must sell.
Option 1 - 40j > 500 + 300
Option 2 - 40 > 500
Option 3 - 40j + 300 > 500
Option 4 - 40j + 300 <500
Answers
Answer:option 3
Step-by-step explanation:
H3LP HELP PLZ...... . . . ..
Answers
!! Not sure !!
But hope it helps
can I please get help?!
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Answer:
The answer is d.
Step-by-step explanation:
x is "a number." When a variable and a number are next to each other, they are being multiplied. So it's 7 times a number. Then you take the product of that and add 2.
So, d is the correct answer. :D
A circle is centered at (0,0) and has a radius of 2\sqrt{3}
Where does the point M(−3,2) lie?
Answers
Answer:
Outside of the circle
Step-by-step explanation:
First, find the equation of the circle by plugging in the center point and radius:
(x - h)² + (y - k)² = r²
(x - 0)² + (y - 0)² = ([tex]2\sqrt{3}[/tex])²
x² + y² = 12
Plug in point M to see where it lies:
x² + y² = 12
(-3)² + (2)² = 12
9 + 4 = 12
13 ≠ 12
Since this statement is false, point M lies outside of the circle.
Plzz help me! I will mark brainiest!!
Create the equation of a quadratic function with a vertex of (-3, 7) and a y-intercept of -2.
Please put the answer in the form: ax^2 + bx + c
Answers
Answer:
mhuaaa
Step-by-step explanation:
papapapapapapapapa
Find the measure of the bold angle.- pls help
Answers
Answer:
I am not sure what your "bold angle" is, but x=8.
Step-by-step explanation:
5x+5+16x+7=180
21x+12=180
21x-12=180-12
21x=168
168/21=8
x=8
21x+12=180
-12. -12
168
——-
21
X=8
What kind of angles are 1 and 5 in the picture below?
Answers
Chloe used an inequality to model the number of minutes she has available to practice piano after school on Thursday.
The solution to her inequality is graphed below.
42 43 44 45 46 47 48 49 50 51 52
How should Chloe interpret this solution?
O She will have a minimum of 45 minutes available to practice.
O She will have a maximum of 45 minutes available to practice.
O She will have fewer than 45 minutes available to practice.
O She will have more than 45 minutes available to practice.
Answers
Answer:
b
Step-by-step explanation:
edge 2020-2021
(xoxo proud of you <3)
g(x)= x3 + 3x2
x² + 3x² + x
f(x) = x + 1
Find g( f(-3))
Answers
Answer:
GCF = x 2
x2 (x + 3)
Help me please........
Answers
Answer:
The answer is 15
Step-by-step explanation:
add 5 plus 2 equals 7 then divide 10 with 5 equals 2 then 2 times 2 times 2 equals 8 then you have your answer 8 plus 7 equals 15
and the reason I said 2 times 2 times 2 was because there is a 3 and you have to do that 3 times
Hope it helps plz give me brainlist
Question :
Can you please solve ?
Answers
the answer is 1320 :) (hopefully you can read the writing in my work)
A store buys paper at $15 per bundle. It then sells the bundles at a price that includes a 40% markup. The store offers a discount of 1/10 off the price of each bundle if two or more bundles are purchased. What is the price to purchase 3 bundles of paper?? Plz help fast
Answers
Answer:
It would be C or 56.70
Jan is 10 years younger than Michael. Jan is 65. How old is Michael?
HELP ME NOW!!
Answers
Answer:
75
Step-by-step explanation:
65 + 10 = 75
Fill in each box with a ratio (aka fraction) that represents the Sin, Cos, or Tan for the angle
specified. (Hint: Soh Cah Toa) Next to each fraction, write it simplified in decimal form.
Please help I need to pass my class
Answers
Answer:
Step-by-step explanation:
sin(D) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{7}{14}[/tex]
= [tex]\frac{1}{2}[/tex]
= 0.5
cos(D) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{12.124}{14}[/tex]
= 0.866
tanD = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{7}{12.124}[/tex]
= 0.577
Since, sinE = cosD
Therefore, sinE = 0.866
Since, cosE = sinD
Therefore, cosE = 0.5
Since, tanE = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{12.124}{7}[/tex]
= 1.732
Please help me as soon as possible
Answers
Answer:
you will time 2 by 2 then 4 by 4 you get 4 and 16 the multipl
those So you get 64 inches is your anser
What is the radius of a circle with circumference of 50 cm? Round your answer to the nearest whole number. Use π = 3.14.
A. 4 cm
B. 3 cm
C. 8 cm
D. 7 cm
Answers
Answer:
8 is the answer
Step-by-step explanation:
the equation is r = C/2*3.14
2*3.14=6.28
Because your C is 50 you do 50/6.28 and when you do that you get 7.962 (rounded) and then we round for the whole # so 8.
Question is in the picture
Answers
Answer:
y=1/3x -4
Step-by-step explanation:
3y-x=-12
y= 1/3x-4
m=1/3
(gradient is the same since its parallel)
y=mX+c
(2) = 1/3(18) + c
2 = 6 + c
2 - 6 = c
c= -4
(y-intercept)
Therefore: y=1/3x-4
Use the given graph to determine the limit, if it exists. A coordinate graph is shown with a horizontal line crossing the y axis at three that ends at the open point 2, 3, a closed point at 2, 1, and another horizontal line starting at the open point 2, -2. Find limit as x approaches two from the left of f of x. and limit as x approaches two from the right of f of x.. Does not exist; does not exist 1; 1 -2; 3 3; -2
Answers
HELPPPPPPPPPP PLEASEEEEEEEEEEEEE !!!!!
Answers
Answer:
218.665
Step-by-step explanation:
Separate by shape, find the areas of the triangles first, so (10.1 x w)/2 To get the missing side you do 30.5-21.4=9.1. then divide that by 2 because you have 2 lines (triangles) that aren't part of the 21.4. After you find the area for the one triangle (10.1 x 4.55)/2=22.9775, multiply by 2 to get the combined area of both triangles. Next step is to find the area of the rectangle, which is just 21.4 x 30.5=216.14. Add all the areas, 45.955+216.14=262.095. Last step is to subtract the area of the shaded region, the rhombus, which is just diagonal x diagonal / 2. so (8.6 x 10.1)/2=43.43. 262.095-43.43=218.665.
A system of linear equations has infinitely many solutions. What is known about the slopes and y-intercepts of the graphed equations? Explain your reasoning.
Answers
Answer:
The answer is below
Step-by-step explanation:
The graph of a linear function can be represented as:
y = mx + b;
where y and x are variables, m is the slope of the graph and b is the y intercept.
A system of linear equations has infinitely many solutions, when the lines overlap at every point. In other words, they're the same exact line, having the same equation when simplified.
This means that they have the same slope and y intercepts
convert 350 cm into meters
Answers
Answer:
3.5 meters
Step-by-step explanation:
The velocity V of an object dropped from a tall building is given by V = V64d, where dis
the distance, in feet, the object has dropped. Find the distance when the velocity is
32 ft/sec.
Answers
Answer:
d = 0.0625 m
Step-by-step explanation:
The velocity of an object dropped from a tall building is given by :
[tex]v=\sqrt{64d}[/tex]
Where
d is the distance in feet
We need to find the distance when the velocity is 32 ft/s
Rearranging for d,
[tex]v^2=64d\\\\d=\dfrac{64}{v^2}[/tex]
Put v = 32 ft/s
[tex]d=\dfrac{64}{32^2}\\\\d=0.0625\ m[/tex]
So, the required distance is 0.0625 m.
The following two triangles are similar. Find x.
Answers
Answer and Step-by-step explanation:
Since we know that the triangles are similar, we can find the value of x. It appears that the lighter triangle is dilated to be smaller than the darker triangle.
So, We would divide 45 by 9 to find the scale factor.
45 divided by 9 is 5.
Now, we divide 25 by this to find x.
25 divided by 5 is 5.
x is equal to 5.
#teamtrees #PAW (Plant And Water)
Lisa is planning for a party. She receives quotes from two party planners. Choice A quotes $18 per guest, plus $100 for renting the party hall. Choice B quotes $15 per guest, plus $160 for renting the party hall. Which inequality represents the number of guests Lisa can invite, if choice A were to cost less than choice B?
Answers
Answer:
x<20
Step-by-step explanation:
Building linear functions for each situation, the inequality is:
[tex]18x + 100 < 15x + 160[/tex]
------------------
Choice A:
$18 per guest.$100 for renting.Thus, the cost of inviting x guests is given by:
[tex]C_a(x) = 18x + 100[/tex]
Choice B:
$15 per guest.$160 for renting.Thus, the cost of inviting x guests is given by:
[tex]C_b(x) = 15x + 160[/tex]
A cost less than B, thus, the inequality is:
[tex]C_a(x) < C_b(x)[/tex]
[tex]18x + 100 < 15x + 160[/tex]
A similar problem is given at https://brainly.com/question/13270950