Answer:
The equation that describes the path of the water balloon is:
[tex]y =-\frac{1}{10}\cdot (x-10)^{2}+15[/tex]
Step-by-step explanation:
The motion of the water balloon is represented by quadratic functions. Tommy launches a water balloon from [tex]A(x,y) = (0\,ft, 5\,ft)[/tex] and hits Arnold at [tex]B(x,y) = (20\,ft, 5\,ft)[/tex]. Given the property of symmetry of quadratic function, water ballon reaches its maximum at [tex]C(x,y) = (10\,ft,15\,ft)[/tex], which corresponds to the vertex of the standard equation of the parabola, whose form is:
[tex]y = a\cdot (x-h)^{2}+k[/tex] (Eq. 1)
Where:
[tex]a[/tex] - Vertex parameter, measured in [tex]\frac{1}{ft}[/tex].
[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical components of the vertex, measured in feet.
[tex]x[/tex], [tex]y[/tex] - Horizontal and vertical location of the ball, measured in feet.
If we know that [tex]x = 0\,ft[/tex], [tex]y = 5\,ft[/tex], [tex]h = 10\,ft[/tex] and [tex]k = 15\,ft[/tex], the vertex parameter is:
[tex]5\,ft = a\cdot (0\,ft-10\,ft)^{2}+15\,ft[/tex]
[tex]a = \frac{5\,ft-15\,ft}{(0\,ft-10\,ft)^{2}}[/tex]
[tex]a = - \frac{1}{10}\,\frac{1}{ft}[/tex]
The equation that describes the path of the water balloon is:
[tex]y =-\frac{1}{10}\cdot (x-10)^{2}+15[/tex]
Sara’s checking account is overdrawn with a balance of -$3.00. She deposits some money into her account so the new balance is $4.50.
Answer:
She put in $7.50
Step-by-step explanation:
Find the gradient of the line segment between the points (10,-4) and (6,-16).
Answer:
The answer is 3Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(10,-4) and (6,-16)
We have
[tex]m = \frac{ - 16 - - 4}{6 - 10} = \frac{ - 16 + 4}{ - 4} = \frac{12}{4} = 3 \\ [/tex]
We have the final answer as
3Hope this helps you
solve for y on both i will give brainlizest thankssss & HURRY
2y+7x=4
6x=7-4y
Answer:
1- Y=-7/2x+2.
2. Y=-6/4+7
Step-by-step explanation:
Subtract 7x from both sides
Divide both sides by two
Add 4y to both sides
Subtract 6x from both sides
Divide by 4 on both sides
Simplify this expression: ½k² + g - 3 + ½k² - 3 + 2g
Answer: k 2 + 3 g − 6
hope this helps
45 + 15(n − 1) for n = 6
Answer:
120
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
Plug in what you know so: 45+15(6-1)
So, following the order of operations, you do the parentheses first so: 45+15(5)
Then, still following the order of operations, you'd multiply from left to right. So: 45+75
Then, you add from left to right, so you get 45+75=120
Your answer is 120.
In one football game, a team scored 24 points with a combination of six-point touchdowns, three-point field goals, and one-point "extra points." They made 2 more touchdowns than field goals, and 3 times as many "extra points" as field goals. Let x be the number of touchdowns, y be the number of field goals, and z be the number of "extra points." Write a system of equations that can be solved to find how many touchdowns, field goals, and "extra points" the team made. Do not solve your system.
Given:
Total score = 24 points
They made 2 more touchdowns than field goals, and 3 times as many "extra points" as field goals.
To find:
The system of equations for the given problem.
Solution:
Let x be the number of touchdowns.
y be the number of field goals.
z be the number of "extra points."
Total score is 24 points. So,
[tex]x+y+z=24[/tex]
They made 2 more touchdowns than field goals.
[tex]x=y+2[/tex]
They made 3 times as many "extra points" as field goals.
[tex]z=3y[/tex]
Therefore, the required system of equation is
[tex]x+y+z=24[/tex]
[tex]x=y+2[/tex]
[tex]z=3y[/tex]
PLEASE HELP !!!!!!!!!!!! ASAP
If set A = {3,4,7,9) and set B = [8, 9, 10, 11), then AUB is
Step-by-step explanation:
AuB={3,4,7,9}U{8,9,10,11}
Need help with the equations thank you
Step-by-step explanation:
#1
Equation 1 = 2-6 over 1-3
#2
Equation 1 = 1-4 over 2+3 Because instead of subtracting a negative you can write adding cause the double negative makes a positive
7/8 divided by (-13/7)
What 98 x 8 divided by 2 and what is this game called
Answer:
392 and Overwatch I think
Step-by-step explanation:
Answer:
392 and overwatch, the other guy deleted his answer soo imma hop in here and put the answer.
Step-by-step explanation:
HELPPP!!!
Question 6 of 10
Which of the following ratios are equivalent to 25%?
Check all that apply.
A. 6:18
B. 5:20
C. 4:20
D. 3:12
E. 8:24
Answer:
5:20 3:12
Step-by-step explanation:
The first number is 1/4 the size of the second number, hence thise being correct.
Find the range of this function
The drama club is selling tickets to their play to raise money for the show's expenses.
Each student ticket sells for $7 and each adult ticket sells for $10.50. The auditorium
can hold no more than 110 people. The drama club must make no less than $840
from ticket sales to cover the show's costs. If x represents the number of student
tickets sold and y represents the number of adult tickets sold, write and solve a
system of inequalities graphically and determine one possible solution.
Answer:
Inequality 1) y≤110−x; shade down
Inequality 2) y≥80− -2/3x; shade up
Possible solution: (40,60)
*The drama club could sell 40 student tickets and 60 adult tickets.
Step-by-step explanation:
Hope I helped ;)
Solution is image 1.
One possible solution is = (0, 100).
Given that:
x represents the number of student tickets sold and
y represents the number of adult tickets sold.
According to the question:
[tex]x+y\le110\\7x+10.50y\ge840[/tex]
Using a graphing calculator the graph is: image 1.
One possible solution is = (0, 100).
Learn more: https://brainly.com/question/15816805
Mariah and Jakob have $35 to spend at the fair. Jakob takes a ride that costs $13 then takes another ride that costs more than the last ride. Mariah spends $10 on 3 cake pops. Then spends five more dollars on the photo booth with Jakob, only Mariah spends her money on the photo booth. How much does the other ride cost for Jakob. How much money does Mariah spend on the photo booth?
Answer:
The cost of the other ride Jacob took = $22
The amount Mariah spends on the photo boot with Jacob = $5
Step-by-step explanation:
The given information are;
Whereby the question states that amount Mariah and Jacob each have to spend = $35
The amount Jacob spends on the first ride = $13
The amount Mariah spends on the 3 cup cakes = $10
The amount Mariah spends on the photo boot with Jacob = $5
Let the cost of the other ride Jacob took = R
Given that Jakob spent all his available money at the fair, we have;
35 = 13 + R
R = 35 - 13
R = $22
Therefore, the cost of the other ride Jacob took = R = $22
The amount Mariah spends on the photo boot with Jacob = $5.
4. What is the slope of the line y = 3? (1 point)
Answer: Undefined or 0
Step-by-step explanation: Y=3 means there would just be a straight line across on (0,3) and when the slope and rise is 0 it means there is no slope or it is undefined
£78 is split equally between 5 people how many will each person get
Answer:
15,6....................
Answer:
£15.6
Step-by-step explanation:
78/5=15.6
PLZ PLZ I NEED THIS TODAY!!
A line passes through (4, 5) and (8, 9). Which equation best represents the line? (4 points)
A.y = x + 1
B.y = 1
C.y = 2x + 1
D.y = 5x + 8
Answer:
A
Step-by-step explanation:
y=x+1
=> put y=5
5=x+1
x=5-1
x= 4
(4,5)
same put y=9
so, x= 8
(8,9)
I have 2 questions
(1) What is the value of x?
30
60
90
(2) Classify the Triangle by its Angles. HINT: Use the Triangle Sum Theorem to find out the measure of the angles.
Scalene
Right
Obtuse
Acute
PLEASE HELP!!!! I HAVE TO TURN THIS IN IN 5 MIN!!!
ARE THE IMAGES IN THE CORRECT GROUPS????
(They have to be in groups of 3!)
Answer:
Orange with pink, Yellow with red, Purple with blue. Yellow should be 1x instead of 3x. Swotch the table under red with green aswell.
What is the equation of the line that passes through the points (-4, 2) and (12,6)?
Answer:
y=0.25x+3
Step-by-step explanation:
I don’t understand please help me
Answer:
Easy! Answer my question and I'll answer urs! Mine is simple tho. Go on my account and if you answer it I'll send you my reponse to the question. I've wrriten the steps and taken the picture on a paper so pls hurry.
Write the product (4 + i)(4 − i) in the form a + bi. A. 16 − i B. 16 − i2 C. 17 D. 8
Answer:
A.16–i is correct.
Step-by-step explanation:
(4+i)(4–i). [(a+b)(a–b)=(a²–b²)]
(4²–i²)=16–i
I hope this answer is correct so please vote my answer
Sam is seven times as old as Tim.If Sam is 42 how old is Tim?
Answer:6 because 42/7=6
Step-by-step explanation:
Please help. I'm desperate!!!!!!!!!!!
Solve for n.
n+ 1 = 4(n-8)
0 n = 1
O n = 8
0 n = 11
n = 16
?
Answer:
0 n=11
Step-by-step explanation:
1. Distribute
+1=4(−8)
2. Subtract 1 from both sides of the equation
+1=4−32
+1−1=4−32−1
3. Simplify
=4n−33
4. Subtract 4 from both sides of the equation
=4−33
−4=4−33−4
5. Simplify
−3=−33
6. Divide both sides of the equation by the same term
−3=−33
-3n/-3=-33/-3
7. Simplify
=11
HELP!! What is the value of B in terms of pie?
Answer:48
Step-by-step explanation:
Answer:
48
Explanation, cone with it's height to the value.
Help meee pleaseeeeeee :(
Answer:
I am pretty sure its D
Step-by-step explanation:
If u want to be sure tho search up the dilation scale factor on Google:)
What is the slope line through (0,4) and (3,2)?
Answer:
The answer is -2/Trust
Step-by-step explanation:
Answer:
Its D 100%
Step-by-step explanation:
Find the measure of x that would make m∥n.
Answer:
to get the value of xtake 4x + 2x + 36 degrees is equals to 180 degrees this is because 4X and 2x + 36 degrees are angles on a straight line because 4X corresponds to the angle on top of 2x + 36 degrees so back to the equation we collect the like terms it will be 4 x + 2 x is equals to 180 degrees minus 36 degrees 6 x is equals to 144 x is equals to 24 degrees
Flavia needs to build a fence around her dog house, as illustrated on the coordinate grid below. If each unit represents 1 foot, what is the total length of Flavia’s fence in feet?
Answer:
I would say your answer is (D