Here is a scale drawing of a garden.
Tom wants to plant a tree in the garden according to the following rules:
it must be 4 m from A and 2 m from CD.
Place a cross where Tom can plant the tree.
Answers
The location of the tree can be found by taking point A as the origin of
coordinate plane, represented by the drawing area.
Response:
The the graph showing the location where Tom can plant the tree is attached.Method used to find the location for planting the treeThe area Tom wants to plant the tree in the garden is given by the following rule;
Distance of the tree from A = 4 m
Distance of the tree from CD = 2 m
1 cm in the scale drawing = 2 m
Solution:
Taking point A as the origin, we have;
The location of the tree from point A is given by the radial length, r = 2 cm.
The distance of the tree from the line CD is given by the line, y = 1.5 cm,
given that 1 cm from CD = 1.5 cm from point A
Therefore, we have;
The y-coordinate of the location of the tree is; y = 1.5Equation of the circular distance from A is; x² + y² = r²Where;
r = 2
y = 1.5
We have;
x² + 1.5² = 2²
x² = 2² - 1.5² = 1.75
x = √(1.75)The coordinate of the location of the tree from A is; (√(1.75), 1.5) Please find attached, the graph showing the location where Tom can plant the tree in relation to point A.
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Related Questions
Need help
She could also make yogurt at home for $1
$
1
a quart after spending $24
$
24
on a yogurt maker.
The graph shows the cost of yogurt bought at the grocery store and made at home.
Answers
The x-axis should be labeled quartz of yogurt.
The y-axis should be labeled total cost.
The slope of each line represents the cost of yogurt ($/qt).
The y-intercept of each line represents the initial equipment cost.
What is y-intercept?In Mathematics, the y-intercept is also known as an initial value and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
Based on the graph above, the initial equipment cost represents the y-intercept of each line.
What is a slope?In Mathematics, a slope is also referred to as gradient or rate of change and it is typically used to describe both the ratio, direction and steepness of the function of a straight line.
Therefore, the slope of each line represents the rate of change of the total cost with respect to the quartz of yogurt ($/qt).
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-4(5+20)=16. S+20=-4. S=
Answers
Answer:
s = -24
Step-by-step explanation:
-4(-24 + 20) = 16 TRUE
-24 + 20 = -4 TRUE
(Are there any options for the missing description bit? I'm a little confused what needs to be answered there)
solve the equation: -5x+12=20
Answers
-5x + 12 = 20
-5x = 20 - 12
-5x = 8
x = -8/5
the reciprocal of 11/12
Answers
Answer:
12/11
Step-by-step explanation:
just turn it around
How it’s the answer:
I agree just turn it around
what are all solutions that are viable for the inequality.
-2.5+x\le-12−2.5+x≤−12
Answers
Answer:
14.5
Step-by-step explanation:
-2.5+x-12-2.5+x≤-12 = 0
2x = 29
x = 29/2
= 14.5
Select all of the equations below that are equivalent to:
m + 17 = 18
Use properties of equality.
m + 7 = 18 - 12
m + 6 = 18 - 10
m + 17 - 2 = 17
m + 13 = 18 - 4
Submit
Work it out
Answers
The equivalent expression will be;
⇒ m + 13 = 18 - 4
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ m + 17 = 18
Now,
Since, The expression is,
⇒ m + 17 = 18
Solve for m as;
⇒ m + 17 - 17 = 18 - 17
⇒ m = 1
For option (i);
The expression is,
⇒ m + 7 = 18 - 12
⇒ m + 7 = 6
⇒ m = - 1
For option (ii);
The expression is,
⇒ m + 6 = 18 - 10
⇒ m + 6 = 8
⇒ m = 2
For option (iii);
The expression is,
⇒ m + 17 - 2 = 17
⇒ m + 15 = 17
⇒ m = 2
For option (iv);
The expression is,
⇒ m + 13 = 18 - 4
⇒ m + 13 = 14
⇒ m = 1
Thus, The equivalent expression is,
⇒ m + 13 = 18 - 4
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The equivalent expression of m + 17 = 18 is determined as m + 13 = 18 - 4 (Option D).
What is equivalent expression?An equivalent expression refers to a mathematical or algebraic expression that has the same value or meaning as another expression, despite potentially having a different appearance or form.
The equivalent expression is calculated as
m + 17 = 18
Solve for m as;
m + 17 - 17 = 18 - 17
m = 1
So we are going to solve all the equations and the one that has the value of m equal to 1 is the equivalent expression.
Solving for option (1)
m + 7 = 18 - 12
m = -1
Solving for option (4)
m + 13 = 18 - 4
m + 13 = 14
m = 1
Thus, the equivalent expression is m + 13 = 18 - 4
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Please help! I really need to get the answer correct
Answers
Answer:
x + 9y²
Step-by-step explanation:
A prime polynomial is simply an irreducible polynomial.
x + 9y² is a prime polynomial
First, we test the options.
x + 9y²
The above function cannot be reduced further.
Hence, x + 9y² is a prime polynomial
3m + 9n
Factor out 3
3 (m + 3n)
3m + 9n is not a prime because it can be factored as 3 (m + 3n)
8x^7 - 9x + 12x²
Factor out x
x(8x^6 - 9 + 12x)
8x^7 - 9x + 12x² is not a prime because it can be factored as x(8x^6 - 9 + 12x)
Hence, x + 9y² is a prime polynomial
What is the rate of change?
Answers
Answer:5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
19-14 = 5
24 - 19 = 5
29 - 24 = 5
and so on
I hope this helps!
Find the slope of the line for y = x - 6
Answers
Answer:
Slope is equal to 1.
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slopeb - y-interceptStep-by-step explanation:
Step 1: Define
Identify.
y = x - 6
Step 2: Find
Break equation, compare to slope-intercept general form.
Slope m = 1
y-intercept b = -6
8.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.
y = (3x + 4)(−2x − 3)
A. linear function; linear term: −17x; constant term: −12
B. quadratic function; quadratic term: 12x^2; linear term: 18x; constant term: −12
C. quadratic function; quadratic term: −6x^2; linear term: −17x; constant term: −12
D. linear function; linear term: −6x^2; constant term: −12
Answers
Answer:
C. quadratic function; quadratic term: −6x^2; linear term: −17x; constant term: −12
Step-by-step explanation:
Answer:
quadratic function; quadratic term: −6x² ; linear term: −17x; constant term: −12
Step-by-step explanation:
The given function is
We need to expand the RHS to get:
We can see that the degree of this polynomial function is 2 and hence it is a quadratic function.
The quadratic term is -6x²
The linear term is -17x
The constant term is -12
Mr. Doyle mowed 2\5ths of his lawn. His son mowed 1\3rd of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?How much does Mr. Doyle have left to mow?
Answers
Answer:
Step-by-step explanation:
Dad: 2/5
Son: 1/3
Who mowed most of the lawn? Dad, of course. 2/5 is larger than 1/3. 2/5 is 40% and 1/3 is 33.333%
How much of the lawn still needs to be mowed?
2/5 + 1/3 + X = 1 [1 means the whole lawn. X is the remaining portion.]
6/15 + 5/15 + X = 1 [Convert each fraction so that they have a com,mon denominator. This also shows that 2/5 (6/15) is larger than 1/3 (5/15).
11/15 + X = 1
X = 1 - 11/15
X = 4/15 left to be mowed.
How much does Mr. Doyle have left to mow?
We'll assume each rate is the same, 2/5 for Dad and 1/3 for son.
4/15 left to be mowed.
Dad will mow 2/5 of 4/15, so (2/5)*(4/15) = 8/75 left of the original yard
Son will mow 1/3 of 4/15, so (1/3)*(4/15) = 4/45 left of the original yard
Mr. Doyle mowed faster than his son. The amount of lawn still needs to be mowed will be 4/15. Mr. Doyle has left to mow and will be 8/75.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Mr. Doyle mowed 2/5 of his lawn. His son mowed 1/3 of it.
Convert the fraction into a decimal number. Then we have
2/5 = 0.40
1/3 = 0.33
Mr. Doyle mowed faster than his son.
The amount of the lawn still needs to be mowed will be given as,
⇒ 1 - 2/5 - 1/3
⇒ (15 - 6 - 5) / 15
⇒ 4 / 15
The amount of lawn still needs to be mowed will be 4/15.
Mr. Doyle has left to mow and will be given as,
⇒ (4 / 15) x (2 / 5)
⇒ 8 / 75
Mr. Doyle has left to mow and will be 8/75.
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A ball is thrown in the air from ground level. The height of the ball in meters at time t seconds is given by the function [tex]\sf h(t)=-4.9t^2+30t.[/tex]. At what times does the ball hit the ground? ( be sure to use proper units!)
please, show your work!
Thank you!
Answers
Answer:
t = 6.15 seconds
Step-by-step explanation:
A ball is thrown upward with an initial velocity of 35 meters per second from a cliff that is 30 meters high. The height of the ball is given by the quadratic equation h=-4.9t^2+35t+30 where h is in meters and t in the time in seconds since the ball was thrown, find the time it takes the ball to hit the ground. Round you answer to the nearest tenth of a second.
-----------------
h(t) =-4.9t^2+35t+30
----
When the ball hits the ground its height is zero.
So, solve -4.9t^2+35t+30 = 0
Use the quadratic formula:
t = [-35 +- sqrt(35^2-4*-4.9*30)]/(2(-4.9))
----
t = [-35 +- sqrt(637)]/(-9.8)
---
To get a positive solution:
t = [-35-25.24]/(-9.8)
t = 6.15 seconds
========================
Answer:
The ball hits the ground when h(t) (the height) is equal to 0.
0=-4.9t^2+30t
0=t(-4.9t+30)
t=0 and t=6.1224…
So, the ball hits the ground when it is thrown (0 seconds) and after about 6.1224 seconds.
:)
Ms. Yoon's class went on a camping trip. Ms. Yoon needs to buy 26.6
kilograms of food and she pays $2.35 for each kilogram. Mr. Ortiz, the
math teacher, says Ms. Yoon should round the number of kilograms of
food she needs to the nearest kilogram before buying it to make sure she
had enough. How much extra money would Ms. Yoon spend if she
calculates the cost Mr. Ortiz's way?
Answers
Answer:
rounding off
26.6= 27
27 x $2.35
=$63.45
Step-by-step explanation:
she would spend $ 63.45 for food
What is the area of a rectangle with a width of x^2+x+1 and a length of 3x^2-2x-1?
Please help!
Answers
Answer: width= 2x-1 and length= 3x+2
Step-by-step explanation: SOLUTION: Choose a possible dimensions of a rectangle with a width= 2x-1 and length= 3x+2 so that its area is greater than 153cm² a. W= 13 L= 15 b. W= 11 L= 20
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!5
Answers
Answer:
B. 8
Step-by-step explanation:
Point-slope form:
[tex]y-y1=m(x-x1)[/tex]
m is the slope, and that is 8 in this equation.
Can someone help me
Answers
For the first question = no because no sides matchup
simple question just to lazy to really think about it!
Jose runs 6 miles in 44 minutes. At the same rate, how many minutes would he take to run 9 miles?
Answers
Answer:
66 minutes
Step-by-step explanation:
Step 1: Divide 44 minutes divided by 6 miles.
[tex]\frac{44}{6}[/tex] [tex]\frac{22}{3}[/tex] [tex]7\frac{1}{3}[/tex]Step 2: Multiply 9 by 7 1/3.
[tex]9*7\frac{1}{3}[/tex] [tex]9*\frac{22}{3}[/tex] [tex]3*22[/tex] [tex]66[/tex]Therefore, the answer is 66 minutes.
The figures in the oval on the left are parallelograms. The figures in the oval on
the right have sides that are equal. In which section should a rhombus be
placed?
A
Parallelograms
Equilateral
B
С
square
rectangle
D
regular
pentagon
section D
section A
1) section c
section B
Answers
Answer:
The answer is C
Step-by-step explanation:
peter and pam are both avid swimmers
Answers
Answer: that they are
Step-by-step explanation:
Nadine plans to ride her bike between 12 mi and 15 mi. Write and solve an inequality to model how many hours she will be riding if she will be riding at a rate of 10 mph
Answers
Answer:
inequality is:12 ≤ x ≤ 15
Step-by-step explanation:
If you divied 5,500,000 divied by 8,800,000 what is the answer??
Answers
Answer:
0.625
Step-by-step explanation:
Just do, 5500000/8800000
Answer:
0.625
Step-by-step explanation:
Because I simplified the fraction
Simplify the monomial (final answers should contain
positive exponents only.):
The side length of a cube can be represented by the
expression 2x. If the side length is doubled, write an
expression to represent the new volume of the cube.
[Hint: V=lwh, all sides are equal in a cube]
Answers
==========================================
Work Shown:
old side length = 2x
new side length = 2*(old side length) = 2*2x = 4x
For any cube, the length, width and height are all the same. So L = W = H.
volume = L*W*H
volume = L*L*L
volume = L^3
volume = (4x)^3
volume = 4^3*x^3
volume = 64x^3
please explain and answer it
Answers
8√21 cm² is the area
hope it helps you
please mark as brainlliest!!
PLS HELP RN ASAP!!!!
Answers
Answer:
3b
Step-by-step explanation:
Please help me please
Answers
1. she makes a profit
2.300$
3.25%
C.
1.3000$
2.9000$
ok done. Thank to me :>
Solve the system you found in Part D. Did you use elimination or substitution? What was the entry fee, and how much did each ticket cost?
After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.
Answers
Answer:
Let x represents the entry fees
y represent the cost of each ticket
Gwen equation
x + 10y = 30 ... (i)
Tristan equation
x + 15y = 40 ...... (ii)
Keith equation
x + 10y = 30 .......... (iii)
By solving eq. (ii) and (iii), we get
x = 10
y = 2
Hence entry fees = $10
cost of each ticket = $2
PLEASE MARK ME AS BRAINLIEST AS IT WILL HELP ME IN ACHIEVING NEXT LEVEL.
THNX IN ADVANCE
Step-by-step explanation:
Answer:
substitution entry fee=$10 each ticket=$2
Step-by-step explanation:
leena bakes a loaf of bread. She eats 1/8 of the loaf and gives 1/6 of it to each of her 3 friends. What fraction of the loaf of bread is left
Answers
Answer:
3/8
Step-by-step explanation:
So, Leena eats 1/8 of the bread first.
Now, she gave 1/6 of the bread to EACH of her 3 friends.
So you will need to do 1/6*3, which is 3/6=1/2.
Now you want to do 1/8+1/2 = 1/8+4/8 = 5/8.
This means 5/8 of the bread is gone.
Now you will need to do 1-5/8 = 8/8-5/8=3/8.
Therefore, 3/8 of the bread is left.
I hope this helps!
Forty percent of the 45 slices of cake were strawberry flavor. How many were not strawberry flavored?
Answers
Answer:
Step-by-step explanation:
how do you do this? appreciated for your help
Answers
Answer:
1/20 E
Step-by-step explanation:
11.74 - 11.69 = .05
.05 =1/20
Answer:
E. 1/ 20 seconds
Step-by-step explanation:
The distance covered by both the athletes is the same.
So, calculating the difference between their times:
Bryan completed the race in 11.74 secondsLuis completed the race in 11.69 secondsDIFFERENCE:That means, Luis completed the race before Bryan, and the difference between their times is:
= 11.74 - 11.69
= 0.05 seconds
CONVERSION:To convert this decimal into a fraction we'll multiply and divide the decimal by 100 (as the number of decimal places is "2", the decimal will be handled by 10 exponent "2" )
[tex]=0.05 \times \frac{100}{100}[/tex]
[tex]= \frac{5}{100}[/tex]
5's a common factor in both numerator and denominator hence, it cancels out
[tex]=\frac{1}{20}[/tex]
ANSWER:Therefore, we got [tex]\frac{1}{20}[/tex] seconds. That is option E.
3/5 of 20.2%0fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
Answers
Answer:
what?
Step-by-step explanation: