Part E
The solution to the system of equations representing Aiden’s and Natalie’s data is shown on the graph.
Analyze the solution to the system to determine whether there is a catapult arm length that Aiden and Natalie can both use to launch their tennis balls the same distance. Explain your reasoning
Answers
Both Aiden's and Natalie's tennis balls can cover the same distance of the catapult length is 40.
What is a linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.
Given:
As, we know the linear intercept form,
y = mx + b
Where m is the rate of change (slope) and b is the initial value of y.
Now, From the graph of both Aiden's and Natalie's data, we can see that the point of intersection is at (-40, 90).
Also, which shows x axis at 40 is the distance.
So, Both of them Aiden's and Natalie's tennis balls can cover the length of 40.
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Related Questions
Help me please!! An emergency!!
A polynomial equation with rational coefficients has the roots 5, sqrt6, 3, -sqrt7. Find two additional roots.
Thank you!
Answers
Given:
A polynomial equation with rational coefficients has the roots [tex]5, \sqrt{6}, 3, -\sqrt{7}[/tex].
To find:
The two additional roots.
Solution:
According to the irrational root theorem, if [tex]a+\sqrt{b}[/tex] is a root of a polynomial, then [tex]a-\sqrt{b}[/tex] is also the root of that polynomial.
It is given that, [tex]\sqrt{6}\text{ and }-\sqrt{7}[/tex] are roots of a polynomial.
By using irrational root theorem, [tex]-\sqrt{6}\text{ and }\sqrt{7}[/tex] are also the roots of that polynomial.
Therefore, the two additional roots are [tex]-\sqrt{6}\text{ and }\sqrt{7}[/tex].
Write the equations of the line that passes through the point 4,3) and is perpendicular to the line y=2x−4 . Write the equation in slope-intercept form.
Answers
Answer:
y = -¹/₂x + 5Step-by-step explanation:
The product of slopes of perpendicular lines is -1
y = 2x − 4 ⇒ m₁ = 2
m₁m₂ = -1
2m₂ = -1
m₂ = -¹/₂
The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is: y - y₁ = m(x - x₁)
m = -¹/₂
(4, 3) ⇒ x₁ = 4, y₁ = 3
So the equation in point-slope form:
y - 3 = -¹/₂(x - 4)
Therefore:
y - 3 = -¹/₂x + 2
y = -¹/₂x + 2 + 3
y = -¹/₂x + 5PLS HELPPPP I NEED THIS GRADE PLSSSSS...The length of yarn needed to knit one hat is half the length of yarn that is needed to knit a scarf. It takes three times as much yarn to knit a
child's sweater as it does to knit one hat.
a. If It takes 400 yards of yarn to knit a scarf, how much yarn is needed to knit a child's sweater? Use tape diagrams and equations to solve
the problem. Use paper to show your work. Let h represent the number of yards of yarn needed to knit a hat.
It will take yards of yarn to knit a child's sweater.
b. How many total yards of yarn will be needed to knit a hat, a scarf, and a child's sweater?
It will take yards of yarn to knit a hat, a scarf, and a child's sweater
Answers
Answer:
A: 2,400 yards is needed for the child's sweater
you would take 400*2 to get the amount of yarn for the hat (800)take 800 (value of the hat) * 3 (the sweater uses three times as much yarn than the hat) = 2,400.B: HAT: 800 yards
SCARF: 400 yards
SWEATER: 2,400 yards
we already have all of the values present from the first part of the problem, so we would just plug those in for the correct thing.Step-by-step explanation:
i really hope this helped! if it did please give me brainliest.
what is the formula of volume
Answers
Answer:
length × width × height.
Step-by-step explanation:
Answer:
length × width × height
Step-by-step explanation:
That is the standard formula for a rectangular shape
Whoever get this right, gets a free hamster
Answers
Answer:
it's C
Step-by-step explanation:
pink or purple hamster plz :D
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Hi please I need answer.I will make brainliest who can answer this.Thank youuu
Answers
9514 1404 393
Answer:
(0, 0) 2, 4, 5
(-1, -1) 1, 2, 4, 5
(2, -1) 1, 2, 4, 5
(-2, 2) 2, 4
Step-by-step explanation:
The graph shows the solution sets of the inequalities. Each inequality is graphed in a different color to aid identification of the solution areas.
The purple area, x + 3y ≥ 6, does not contain any of the given points.
The inequalities satisfied by the given points are listed above.
please help explain how u got the answer marking brainlist giving all my points 200 points
Answers
Answer:
v = -35
Step-by-step explanation:
-4 -31= -35 which leaves V. so v=-35
Answer:
I think that the is -27
Step-by-step explanation: 32 - (-27) = -4
In a pet store,the ratio of dogs to cats is 3 to 2. if there are 15 dogs, how many cats are there at the pet store? NEED HELP ASAP
Answers
Answer:
10 cats
Step-by-step explanation:
dogs:cats = 3:2=15:x
3x=15.2
3x=30
x=10 cats
(2a^(3)-a^(2)b)/(36b^(2))-:(2a-b)/(9b^(2))
Domain?
Answers
-3a3b - 40a2b2 + 8a2 - 30ab3 - 28ab - 36b2
4
i looked it up
will give brainliest-need asap- real answers only or you will be reported
Answers
Answer:
33
Step-by-step explanation:
The greatest common factor is 3 and the least common multiple is 30.
30 + 3 = 33
Answer: C
Step-by-step explanation: 30
Which terms can be combined in the expression below? Select three options.
PLEASE HELP 50 POINTS
StartFraction 5 over 6 EndFraction a minus 2 b minus 16.3 + StartFraction b over 12 EndFraction + c minus 0.9 b
StartFraction 5 over 6 EndFraction a
–2b
–16.3
StartFraction b over 12 EndFraction
–0.9b
Answers
Answer:
This doesnt make sense
Step-by-step explanation:
Calculate the value of this expression by writing the decimal factors as fractions, then writing their product as a decimal. Show your reasoning. (0.3)⋅(0.2)
Answers
Answer:
(3/10)(2/10) = 6/100 = 0.06
Find a coterminal angle to 626 degrees
Answers
Answer:
266
Step-by-step explanation:
A bricklayer lays 1200 bricks in an average 8-hour day. How many bricks does he lay in a 40-hour week?
Answers
40/8=5
5*1200=6000
The number of bricks that the bricklayer can lay in a 40-hour week is 6000 bricks.
Let the number of bricks that the bricklayer can lay in a 40-hour week be represented by x.
Based on the information given in the question, the equation to solve the question will be:
8/40 = 1200/x
Cross multiply
8 × x = 1200 × 40
x = (1200 × 40) / 8
x = 1200 × 5
x = 6000
Therefore, the number of bricks that the bricklayer can lay in a 40-hour week is 6000 bricks.
Read related link on:
https://brainly.com/question/18448466
Convert the following fraction to a decimal.
23/99
Answers
Answer:
23/99 as a decimal is 0.23232323232323.
Step-by-step explanation:
In fractions, the numerator is the number above the line and the denominator is the number below.
The line in a fraction that separates the numerator and the denominator represents division.
To convert a fraction to a decimal, divide the numerator by the denominator.
72 paper clips to 63 paper clips
Answers
Answer:
72-63=9
9/72=13%
13% IS .13 SO TENTH IS .1
I AM NOT SURE ABOUT THE TENTH
Step-by-step explanation:
Determine the slope and the y-intercept: y = 3x - 1
Answers
Answer:
Slope is 3
y - intercept is -1
Answer:
slope = 3, y- intercept is - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 1 ← is in slope- intercept form
with slope m = 3 and y- intercept c = - 1
Which expression is equivalent to (1/16)^-4
Answers
Answer: =65536
Step-by-step explanation: hope this help
Answer: There are a few but: (-16)^4 is my first anwser.
Step-by-step explanation:
If you have a negative number in the parathesis you'll usually make it 1 over the number in this case 1/16 can be written as -16. That way the negative 4 can become positive four once you change the 1/16 to -16.
I hope that makes sense.
Herbert is decorating the bulletin board at school.The bulletin board is 7 ft by 11 ft.He decides to add a black border.What is the length of the border needed?
Answers
Answer:
36 feets
Step-by-step explanation:
The dimension of bulletin board = 7 feets by 11 feets
Bulletin boards are shaped as a rectangle :
To add a black border ; two of the sides will be of length 7 feets (length) while the other 2 will be of 11 feets (width) each or vice-versa
However, total Lenght of black border :
(11 * 2) + (7 * 2)
22 + 14
= 36 feets
There is some tea in three teapots. | Teapot A Teapot B Teapot C 420 ml 490 ml 707 ml What is the simplest ratio of tea in teapot A to B to C? Your answer should be in the form 420:490:707.
Answers
Answer:
esa es la abc de jaja XD nose porque digo esto solo quiero puntos ._.XD
Mr. Evans rides his bicycle an average speed of 8 km/hr. How far has he
traveled if he rides 4 hours?
Answers
If the points at (-4, 3) and (2, 3) are reflected over the x-axis to create two new points, what shape can be formed by the four points? Select the most precise description of the shape.
square
rectangle
triangle
trapezoid
Answers
Answer:
square
Step-by-step explanation:
You rent a canoe for $4.50 per hour. Your cost before the tax is added is $18. Write an equation to find the number of hours H that you retend the canoe
Answers
Answer:
total cost = cost/hour x hours
$18.00 = ($4.50)(X hours)
X=4 hours
Step-by-step explanation:
total cost = cost/hour x hours
$18.00 / 4.50=4 hours
In 2010, the population of a city was 180,000. From 2010 to 2015, the population grew by 7%. From 2015 to 2020, it fell by 4%. How much did the population grow from 2010 to 2015, to the nearest 100 people?
Answers
Answer:
The population grew by 12600 people.
Step-by-step explanation:
In 2010, the population of a city was 180,000. From 2010 to 2015, the population grew by 7%. From 2015 to 2020, it fell by 6%. How much did the population grow from 2010 to 2015, to the nearest 100 people?
The population grow from 2010 to 2015 is 12600
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
Total population in 2010 = 180000
From 2010 to 2015, the population grew by 7%.
Then, the population grew from 2010 - 2015
= 7% of 180000
= 7/100 x 180000
= 7 x 1800
= 12600
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Christina earned $510 working part-time at the movie theater. Of her paycheck, 1/ 4 pays for car insurance, 1/ 3 for gas, and 20% for miscellaneous expenses. The remaining amount of her paycheck is divided equally for entertainment and savings. How much does Christina spend each month on entertainment?
Answers
Answer:
$55.15
Step-by-step explanation:
1/4 of 510 = 127.5
1/3 of 510 = 170
20% of 510 = 102
510-(127.7+102+170)=510-399.7=110.3
110.3/2=55.15
hope this helps
Which graph represents a proportional relationship? (quickly please :)
Answers
Answer:
the first one
Step-by-step explanation:
a proportional graph has to go through the origin (0,0) and the first one is the only one that does
help today hi have to finish this and I have like 21 more assignments to go
Answers
Answer:
Characteristics? I don't know
Step-by-step explanation:
Answer:
I'm answering so you can give him brainliest!
Step-by-step explanation:
PLS HELP QUICK!!
Simplify. 5^-1 (3^-2)
a. 45
b. 1/45
c. 15^-3
d. 15^2
Answers
Answer:
option B: 1/45
Step-by-step explanation:
option B isthe correct answer of this question.
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Step-by-step explanation:
hope this will help you.
URGENTTT PLEASE HEEEEELP
Answers
Answer:
1)
M: 15
T: 14
W: 19
Th: 20
F: 9
Sa: 9
Su: 5
2) 18 degrees
Step-by-step explanation:
What is m = -13/6.5 simplified?