Answer: width = 27.5 feet and length = 92.5 feet
Step-by-step explanation:
Let width = x, then length = 3x+10
Perimeter of rectangle = 2 (length +width)
Given: Perimeter of the garden = 240 feet.
Then, [tex]2 (x+3x+10)=240[/tex]
[tex]\Rightarrow\ 2 (x+3x+10)=240\\\\\Rightarrow\ (4x+10)=120\\\\\Rightarrow\ 4x=110\\\\\Rightarrow\ x=\dfrac{110}{4}=27.5[/tex]
i.e. width = 27.5 feet
Then, length = 3(27.5)+10= 82.5+10=92.5 feet
Hence, width = 27.5 feet and length = 92.5 feet
If the slope of a line is m = -7, find the slope of the lines that are parallel and perpendicular to the line.
Answer:
For the line parallel to the line it has a gradient of -7 and the one perpendicular to the line has a gradient of 1/7.
Answer:
Parallel: m = -7
Perpendicular: 1/7
Step-by-step explanation:
The question is asking us to find the slope of the lines that are parallel and perpendicular to the one whose slope is -7.
Main Idea: Parallel lines have equal slopes; perpendicular lines have slopes that are opposite reciprocals.
The slope of the line that's parallel to the one whose slope is -7 is also -7.
The one that's perpendicular to it is the opposite reciprocal of -7, which is 1/7.
Therefore, this is the answer.
A hiker starts walking toward a waterfall that is 12 miles away. The hiker walks 3 miles each hour for 3 hours.
What graph represents the distance the hiker is from the waterfall over that time period?
Use the graphing tool to graph your answer.
The graph of the linear function d = 12 - 3t, representing the distance the hiker is from the waterfall over that time period, is given at the end of the answer.
What is a linear function?The slope-intercept representation of a linear function is given by the equation presented below:
y = mx + b
The coefficients of the function and their meaning are listed as follows:
m is the slope of the function, representing the change in the output variable y when the input variable represented by x increases by one.b is the y-intercept of the function, representing basically the initial value of the function.In this problem, the values of the parameters are given as follows:
m = -3, as each hour, the distance of the hiker from the waterfall decreases by 3, as he walks 3 miles each hour.b = 12, as the initial distance of the hiker from the waterfall is of 12 miles.Then the equation is:
y = 12 - 3x.
Which is graphed over the domain [0,3], as shown by the image at the end of the answer.
More can be learned about linear functions at https://brainly.com/question/24808124
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If α and β are zeroes of 2x² - 5x+7, find
polynomial whose zeroes are 2α + 3β , 2β + 3α .
α & β are the zeroes of 2x² - 5x + 7.
Find:polynomial whose zeroes are 2α + 3β , 2β + 3α .
Solution:On comparing with the standard form of a quadratic equation,
Let,
a = 2
b = - 5
c = 7.
We know that,
Sum of the zeroes = - b/a
⟹ α + β = - ( - 5)/2
⟹ α + β = 5/2 -- equation (1)
Product of the zeroes = c/a
⟹ αβ = 7/2 -- equation (2)
Now,
General form of a Quadratic equation is x² - (sum of the zeroes)x + product of the zeroes = 0.
★ Sum of the zeroes = 2α + 3β + 2β + 3α
⟹ Sum of the zeroes = 5α + 5β
⟹ Sum of the zeroes = 5(α + β)
Putting the value from equation (1).
⟹ Sum of the zeroes = 5(5/2)
⟹ Sum of the zeroes = 25/2
Similarly,
★ Product of the zeroes = (2α + 3β)*(2β + 3α)
⟹ Product of the zeroes = 2α( 2β + 3α) + 3β( 2β + 3α )
⟹ Product of the zeroes = 4αβ + 6α² + 6β² + 9αβ
⟹ Product of the zeroes = 13αβ + 6(α² + β²)
a² + b² = (a + b)² - 2ab → α² + β² = (α + β)² - 2αβ
⟹ Product of the zeroes = 13αβ + 6[ (α + β)² - 2αβ ]
Putting the values from equations (1) & (2) we get,
⟹ Product of the zeroes = 13(7/2) + 6 [ (5/2)² - 2(7/2) ]
⟹ Product of the zeroes = 91/2 + 6 ( 25/4 - 14/2 )
Taking LCM we get,
⟹ Product of the zeroes = ( 2 * 91 + 6 * 25 + 2 * 14 ) /2
⟹ Product of the zeroes = (182 + 150 + 28 )/2
⟹ Product of the zeroes = 180
Hence,
New quadratic equation = x² - (25/2) * x + 180 = 0
⟹ New quadratic equation = (2x² - 25x + 360)/2 = 0
⟹ New quadratic equation = 2x² - 25x + 360 = 0
∴ The required quadratic equation is 2x² - 25x + 360 = 0.
I hope it will help you.
Regards.
which equation represents a linear function that has a slope of 4/5 and a y intercept of -6?
y=6x+4/5
y=4/5x-6
y=4/5+6
y=6x+4/5
A car rents for $180 per week plus $0.25 per mile. Find the cost of renting this car for a two week trip of 400 miles for a family of 4.
Answer: $460
Step-by-step explanation:
It cost $180/per week. The family will have the car for 2 weeks, so:
($180)(2)= 360
Additionally, it is $0.25 per mile. The family traveled 400 miles, so:
($0.25)(400)= 100
In total:
$360 + $100 = $460
Is the following relationship a function?
Answer:
no
Step-by-step explanation:
1) Identify the input and output values.
2)Check to see if each input value is paired with only one output value. If so, the table represents a function.
Please help!!!!!!!!!!!!!!!!!
Answer:
3
Step-by-step explanation:
3
Which of the following is a purpose of rules in sports and games?
Answer: Rules provide an agreement of understanding to competition. In sports, rules define what is allowed or not allowed to occur during situations on and off the court. Rules govern anything from wearing proper uniforms to how to keep score during games of different levels of competition.
Step-by-step explanation:
If I can have the multiple-choice answers I could help now
-3,12,-48 next three terms
Answer:
The next three terms are -192, -768, and -3072
Step-by-step explanation:
The sequence pattern is 4 x n. N = the last number.
Solve for r.
4.2=r/3.
R=???
I need to know the anser
Answer:
12,6
Step-by-step explanation:
[tex]4,2=\frac{r}{3}=> r=4,2.3=12,6[/tex]
A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter or a dime?
Answer:
Quarter: 5/11 Dime: 2/11
These are fractions and 11 is the total number of coins.
The probability of picking a quarter or a dime is,
[tex]P(E)=\frac{7}{11}[/tex]
Probability :Given that,
A bag contains 5 quarters, 2 dimes, and 4 pennies.
Total number of outcomes [tex]=5+2+4=11[/tex]
We have to find the probability of picking a quarter or a dime.
So that favourable outcomes is 5 quarters and 2 dimes
Number of favourable outcomes[tex]=5+2=7[/tex]
the probability of picking a quarter or a dime is,
[tex]P(E)=\frac{7}{11}[/tex]
Learn more about the Probability here:
https://brainly.com/question/25870256
Savannah gets paid $10 every 3 bracelets she sells. Which graph below shows the
relationship with the same unit rate?
Answer:
the bottom one
Step-by-step explanation:
pls mark brainliest
Answer:
The second graph.
does anyone know what 1/4, 32%, and 0.4 from least to greatest is
Answer:
1/4, 32%,.4
Step-by-step explanation:
Put each of them in decimal form and 1/4=.25, 32%=.32 and .4=.4, then put them in order in decimal form and there you go
Determine which equation below has a solution of x = 2.
A. X + 9 = 14 - 3x
B. -4x + 3 = 8x - 21
C. 3x - 6 = 2x + 4
D. 18x - 32 = -23x – 6
Answer:
answer is B
Step-by-step explanation:
first you subtract 8x from -4x to get -12x. Then you add the rest on -12x+3=-21. Subtract 3 from both sides.
-21-3=-24 -24 divided by -12= 2
Does any absolute value expression with a value of O have more than one solution?
•Yes, it has more than one solution
•No, it only has one solution.
you are filling a bookcase with books the bookcase is 3 ft wide your hardcover books are 1 1/2 inches wide and your paperback books are 3/4 inches wide if you already placed 8 hardcover books on the shelf what is the maximum of paperback books you can also fit on the shelf?
Pls help, I’m stuck on this
Answer:
3
Step-by-step explanation:
the gradient is just the slope
the equation is y = 3x - 5
with -5 being the y intercept
the distance between the two points is sqrt(40)
to find the gradient you have to use the slope formula: (-11-(-5))/(-2-0) = -6/-2=6/2=3
what is another way to express the difference between -5 and 8?
Answer:
on the number line it would be 14 units
Step-by-step explanation:
jump the number line from -5 to 8
What is pi? I forgot.
Answer:
3.141592653589793238462643383279...
Answer:
3.14159265359 or for short, 3.14
Step-by-step explanation:
It is a number that never repeats the same sequence and consists of over one million numbers and still continuing. Scientists and mathmaticians work to find the end of this seemingly endless number.
It can be used to find information of a circle when placed in a mathmaticle formula.
This number also appears in other forms of mathmatics as well as physics.
These are my own words.
I hope this helps and have a great day!
Why does 1 - 3/8 equal 5/8
Answer:
1 - 3/8
(8-3)/8
=5/8
Step-by-step explanation:
this may be your correct answer
Answer:
it is because
Step-by-step explanation:
the origin is 1 is actually 8/8 depend on the question that given
so in this case 8/8 - 3/8 is 5/8 because 8-3=5
2 + 4w ≥ 10
needs help
Answer:
w≥2
Step-by-step explanation:
Subtract 2 from both sides
2 + 4w ≥ 10
2 -2 +4w ≥10 -2 and get:
4w≥8 and divide 8 both sides
and equals
w≥2
x+6=x
please help me , i need this now for a last question homework assighnmet. please show me the steps.
Josh drives 150 miles in 3 hours. What is the constant
proportionality, k?*. A k= 2 miles per hour
B k= 0.02 miles per hour
C k=75 miles per hour
D k=50 miles per hour
Answer:
150/3=50
Step-by-step explanation:
Find g(3) when g(x)= -2x +3.
ur answer
Answer:
The answer is
[tex] \huge g(3) = - 3[/tex]
Step-by-step explanation:
[tex]g(x)= -2x +3[/tex]
To find g(3) , substitute the value of x that's 3 into g(x). That is for every x in f(x) , replace it with 3
We have
[tex]g(3) = - 2(3) + 3 \\ \: \: \: \: = - 6 + 3 \\ [/tex]
We have the final answer as
[tex]g(3) = - 3[/tex]
Hope this helps you
CAN SOMEONE HELP ITS DUE TODAY!!! will give brainliest!!
Telemedicine is a way for patients and doctors to connect through a version of video chat or possibly just a voice call. The benefit of this is that we are not exposing ourselves or others to the virus. This will help slow or stop the spread of the virus.
Hope this helps, please mark as brainliest :)
0.725, 1/4, 30% From least to greatest
Answer:
Step-by-step explanation:
30%, 1/4, 0.725
Find m∠C.
it is an obtuse triangle
What is the value of the expression
PLS HELP
Graph y = -3x + 4
Answer: go to the left inbetween -2 and -4 then go up 4 times
Step-by-step explanation:
is y=x2+10 a function?
