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]
please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
10
Step-by-step explanation:
Help me solve this problem please
Answer:
subtracted 2x from both sidesStep-by-step explanation:
4x = 2x + 402 subtract 2x from both sides
4x - 2x = 2x - 2x + 402
2x = 402
Please help Find sin and csc.
In a certain Algebra 2 class of 28 students, 9 of them play basketball and 17 of them
play baseball. There are 6 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?
Answer: Probability of a student playing both basketball and baseball is 4/28 or 14.3%
Step-by-step explanation:
1) Students playing atleast one sport = 28 - 6 = 22
2) N(Basketball ∩ Baseball) = N(Basketball) + N(Baseball) - N (Basketball U Baseball)
N(Basketball ∩ Baseball) = 9 + 17 - 22 = 4
3) Number of students playing both basketball and baseball = 4
Total number of students = 28
Probability of a student playing both basketball and baseball is 4/28
4/28= 0.1428571429 x 100%= 14.3%
Answer:4/28
Step-by-step explanation:4/28
NEED HELP 15 points please help!!!
help asap please click the image to find the question
Answer:33
Step-by-step explanation: You do what's inside the parenthesis first then you divide the number by 6 and lastly you add 5squared which is 25 to the quotient.
five million four thousand three hundred in standard for
Answer:
500,400,300
Step-by-step explanation:
is this correct?
Answer:
Your answer is 5004300
Step-by-step explanation:
Hope this helps u
Crown me as brainliest:)
How to find LCM by division method
look it dinometer of last two numbers at the down and cross multiple them by the lcm
-2m=-10
Solve this for m
Answer:
M=5
Step-by-step explanation:
divide each side by -2
-6=2/3x What does x equal
Answer:
x = -9 :)
Step-by-step explanation:
solve for x by simplifying both sides of the equation then isolating the equation
brainliest pls if correcto
What’s 5 divided by 6.2
Answer:
8
Step-by-step explanation:
Because you need to round 0.8064516129 to the nearest tenth
Solve the following system of equations using substitution, showing all work.
y=2x+3
2x+5y=3
x=negative 1
y=1
showing my work Substitute y=2x+3y=2x+3 into 2x+5y=32x+5y=3.
12x+15=312x+15=3
2 Solve for xx in 12x+15=312x+15=3.
x=-1x=−1
3 Substitute x=-1x=−1 into y=2x+3y=2x+3.
y=1y=1
Answer:
x= -1
y= 1
Step-by-step explanation:
since y=2x+3; plug into other equation
2x+5(2x+3)=3
(distribute 5 to 2x+3)
2x+10x+15=3
(add like terms)
12x= -12
divide by 12 to get x alone
x=-1
now you cand plug in x to either equation to solve for y, but plug into the first equation to make it easier.
y=2(-1)+3
y=-2+3
y=1
What is the equation of the line that passes through the point (-5,6) and has a slope of 0
The equation of the line that passes through the point (-5,6) and has a slope of 0 is y = 6
Equations are expressions that related two or more expressions together using an equal sign.
The formula for finding the equation of a line in point-slope form is expressed as:
y-y0 = m(x-x0) where:
m is the slope(x0, y0) is the interceptGiven the following
m = 0
(x0, y0) = (-5, 6)
Substitute the given values into the formula
y - 6 = 0 (x - (-5))
y - 6 = 0 (x + 5)
y - 6 = 0
y = 6
Hence the equation of the line that passes through the point (-5,6) and has a slope of 0 is y = 6
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Mal always solve the equation of negative 5 x minus 16 equals 8, his work is shown below identify the era where it was made step one not gonna 5 x minus 16 plus 16 equals 8 plus 16 Sep 2 negative 5 x equals 24 step, 3 negative 5 x, over 5 equals 24 over 5 step 424 are 5.
Given:
The equation is
[tex]-5x-16=8[/tex]
To find:
The error and correct solution.
Solution:
We have,
[tex]-5x-16=8[/tex]
Add 16 on both sides.
[tex]-5x-16+16=8+16[/tex]
[tex]-5x=24[/tex]
Divide both sides by -5.
[tex]\dfrac{-5x}{-5}=\dfrac{24}{-5}[/tex]
[tex]x=-\dfrac{24}{5}[/tex]
Third step is incorrect because he divide the equation by 5 instead of -5.
Therefore, the correct solution is [tex]x=-\dfrac{24}{5}[/tex].
A statement that two ratios are equal is called a
The answer is proportion. A proportion basically equates two ratios.
A statement that two ratios are equal is called a proportion.
In a proportion, the four quantities involved are related in such a way that the first ratio is equal to the second ratio. It can be represented in the form of "a:b = c:d," where "a" and "b" are the terms of the first ratio, and "c" and "d" are the terms of the second ratio.
Proportions are used in various mathematical applications, such as solving problems involving ratios, scaling, similarity, and solving for unknown values. They provide a way to compare quantities and establish relationships between them based on their relative sizes.
Learn more about ratio here
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can you help me please with my homework
Show me how I do it please
Answer:
y=7x-5
Step-by-step explanation:
y=mx+b
2=(7)(1)+b
2=7+b
2-7=b
-5=b
find the solutions of 4s²-12s = -9 by factoring
Steps Using Factoring By Grouping
[tex]4 {s}^{2} - 12s = - 9[/tex]
[tex]4 {s}^{2} - 12s + 9 = 0[/tex]
[tex](4 {s}^{2} - 6s) + ( - 6s + 9) = 0[/tex]
[tex]2s(2s - 3) - 3(2s - 3) = 0[/tex]
[tex](2s - 3)(2s - 3) = 0[/tex]
[tex](2s - 3) {}^{2} = 0[/tex]
[tex]2 s - 3 = 0[/tex]
[tex] \: \: \: \: \: \: \: 2s = 0 + 3[/tex]
[tex] \: \: \: \: \: \: \: 2s = 3[/tex]
[tex] \: \: \: \: \: \: \: \: \: s = \frac{3}{2} [/tex]
[tex] \: \: \: \: \: \: \: \: \: s = 1 \frac{1}{2} [/tex]
[tex] \: \: \: \: \: \: \: \: \: s = 1,5[/tex]
[tex] \green {\boxed{s = \frac{3}{2} = 1 \frac{1}{2} =1,5}}[/tex]
#IfWrongPleaseReport
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#ILoveMath
how to change the fractions into equivalent fractions having the LCD 3/4
(3^8 ⋅ 2^−5 ⋅ 9^0)^−2 ⋅ 2 to the power of negative 2 over 3 to the power of 3, whole to the power of 4 ⋅ 3^28
Answer:
I agree with the first answer.
Step-by-step explanation:
Answer:
(38 ⋅ 2−5 ⋅ 90)−2 ⋅ 2 to the power of negative 2 over 3 to the power of 3, whole to the power of 4 ⋅ 328 ((38 ⋅ 2−5 ⋅ 90)−2 ⋅ 2 to the power of negative 2 over 3 to the power of 3, whole to the power of 4 ⋅ 328 (
Step-by-step explanation:
Help me please ^_^!!!
Answer:
I'd say the answer is A or B
Step-by-step explanation:
Since the colonists overtime had so many laws passed over that were cruel and unfair they went against the British with acts like the Tea Act which were preformed to turn against the British. (sorry if im wrong ^-^)
I just need help with 1-8
Answer:
1. Reflexive Property of equality
2. Addition Property of equality
3. Subsitution
4. Definition of Congruence
5. Transitive Property
6. Division of equality
7. Segment Addition postulate
8. Subtraction of equality
Step-by-step explanation:
Who has algebra 2 on edge ?
Answer:
i do, if uu need help hmu
Step-by-step explanation:
On June 30, Tina Nader's check register balance was $452.88 and her bank
statement balance was $697.55. Checks outstanding were 561, $39.28; 562,
$121.31; 564, $83.19. The statement showed earned interest of $0.89. Reconcile
the check register and bank statement.
Answer:
43
Step-by-step explanation:
Answer:
43 is what I would say
Step-by-step explanation:
step by step
What value is missing from the table?
Answer:
12
Step-by-step explanation:
15/1.25 is 12
Answer:
12
Step-by-step explanation:
Write an expression for: The sum of 5 times a number and twice a number is 42.
Answer:
42
Step-by-step explanation:
5x5=40 ----> 40+2=42
HELP WILL MARK YOU BRAINLIEST NO GUESSES PLZ!!!!
Answer:
I believe the answer is the first one A
Step-by-step explanation:
If you do this will construct the perpendicular bisector for AB.
Answer:
iT IS A
Step-by-step explanation:
Which of following have a value equal too |-28|?
Answer:
Step-by-step explanation:
2nd one, 3rd one, and 5th one
Answer:
28
Step-by-step explanation:
- You study 4 hours per day and are in class 6 hours
per day. Find the ratio of the number of study hours to
class hours.
Answer:
2/3
Step-by-step explanation:
Initially it would be 4/6 which you can simplify as 2/3
8) On Tuesday Heather bought six hats. On
Wednesday half of all the hats that she had
were destroyed. On Thursday there were
only 19 left. How many did she have on
Monday?
PLS HELP
Answer: On Monday, Heather had 32 hats.
Step-by-step explanation: After Heather bought six hats on Tuesday, she had double the amount of 19, since half of her hats were destroyed on Wednesday resulting in 19 left. Double of 19 is 38 hats, meaning she had 38 after she bought six on Tuesday. That means on Monday she had 38 - 6 = 32.