On a grid Joe’s house is marked at ( -5, -3 ) and Andy’s house is marked at ( 3, -1 ). What is the distance, on the grid, between Joe’s house and Andy’s house?
Answers
Square root (x2-x1)^2+(y2-y1)^2
So,
i will do it without square first.
(3--5)^2+(-1--3)^2
(8)^2+(2)^2 ==== 64+4=68
answer is square root 68
Answer:
The distance is [tex]\sqrt{68} =2\sqrt{17}[/tex]
Step-by-step explanation:
Locating the points on the plane we can form a right triangle between them and solve the problem using the Pythagorean theorem.
*see attached image*
The sides of the triangle formed measure 8 and 2, so by pythagoras, the unknow side [tex]x[/tex] wich is the distance between the houses is:
[tex]x^2=8^2+2^2\\x^2=64+4\\x^2=68\\x=\sqrt{68}=\sqrt{4*17}=2\sqrt{17}[/tex]
So the distance, on the grid, between Joe’s house and Andy’s house is [tex]2\sqrt{17}[/tex]
Related Questions
Maria made a scale drawing of an elephant. The scale is 1 inch to 13 feet. What is the scrutiny length of the elephant? In the pic the elephant is 1.5 inches long.
Answers
Scale: 1 inch = 13 feet. 1.5 inches on the drawing. Actual length: 1.5 * 13 = 19.5 feet. Elephant length.
To find the actual length of the elephant, you need to use the scale provided by Maria's drawing. The scale states that 1 inch on the drawing represents 13 feet in reality. Since the elephant in the drawing is 1.5 inches long, we can calculate the actual length using the scale.
1. First, determine how many feet one inch on the drawing represents:
[tex]\( 1 \text{ inch on drawing} = 13 \text{ feet in reality} \)[/tex]
2. Multiply the number of inches in the drawing by the conversion factor to find the actual length:
[tex]\( 1.5 \text{ inches on drawing} \times 13 \text{ feet/inch} = 19.5 \text{ feet in reality} \)[/tex]
So, the actual length of the elephant is 19.5 feet.
Whats the property shown for this problem? ||Associative||Commutative||Opposite||
-2.2 + (-3.7 + (-1.4)) = (-2.2 + (-3.7)) + (-1.4)
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Vertex form of f(x)=1/2x squared
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The vertex is (0,0).
Brad and Wes are building a tree house. They cut a 12 and a half foot piece of wood into 5 of the same length pieces?How long is each piece of wood?
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A gaming system is marked down from 290 to 188. What is the percentage of the discount?
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(290-188)/290 = P/100
102/290 = P/100
290P = (102)(100)
290P = 10,200
Solve for P to find your answer.
Answer 1-5 please
Thanks
Answers
The separation of power separates government into executive, Judiciary, and Legislative with each of their own responsibilities.
This being done in order to prevent the government from becoming too powerful and transform into tyranny.
2. The answer is B. To decide if cases heard by lower courts were tried appropriately
The court of appeal will bring the case into higher court if either party are not satisfied with the result of the court. But the Decision that made by the Supreme courts are final
3. the answer is B. By overriding a Veto
Congress has the right to reverse the deicision if they managed to make mor than 2/3 of the Congress' member to agree. In this case, the president will be forced to change the decision even after using the veto right
4. The answer is B. Declaring war in war on another country
Declaring war on another country could only be done by Congress or The President. (In the Government, The president acted as the head of the executive branch of the Government)
5. The answer is C. Reserved Powers
Reserved powers allow the states to regulate several aspects of Government operations such as handling marriage, imposing states law, proposing a plan for infrastructure construction, etc
30 students 2/5 play an instrument and 5/6 play a sport. How many students play an instrument and how many play sport..?
Answers
Final answer:
There are 30 students in total, 12 of whom play an instrument, and 25 of whom play a sport.
Explanation:
The question asks about the number of students who play an instrument and the number who play a sport. There are 30 students in total.
To find the number of students who play an instrument, we multiply 30 by ⅓ (2/5), since 2/5 of the students play an instrument. To find the number of students who play a sport, we multiply 30 by ⅕ (5/6), since 5/6 of the students play a sport.
For the instrument calculation: 30 × 2/5 = 12, so 12 students play an instrument.
For the sport calculation: 30 × 5/6 = 25, so 25 students play a sport.
I need helpppppppppp
Answers
The answer to number 1 is x=3.
The answer to number 1 is x=21.
The answer to number 1 is x=-16.
Bethany has 43 apples.write a subtraction story about the apples that would require regrouping.
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21 apples were rotten and got thrown out. The remaining apples were divided equally among 11 people
For what value does 4x = (1/8)^x+5
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Answer:Its B
-3
Step-by-step explanation:
Which fact would help you to solve for x in the diagram shown?
A) Angles in an equilateral triangle are congruent.
B) The sum of the interior angles in a quadrilateral is 360°.
C) Alternate interior angles formed by a transversal and parallel lines are congruent.
D) The exterior angle of a triangle is equal to the sum of the two remote interior angles.
Answers
Answer:
(A) Angles in equilateral triangle are congruent
Step-by-step explanation:
From the figure, it can be seen that in triangle ABD, [tex]AB=BD=AD[/tex] which means that all the sides of the triangle are congruent and by the definition of equilateral triangle, ΔABD will be an equilateral triangle.
Therefore, Using the property that Angles in equilateral triangle are congruent, we can find the value of x.
Thus, option A is correct.
Answer:
the person above me is correct
How to solve from 86 books to 150 books
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I assume you're talking about percentage. What was the percentage increase from 86 books to 150.
Using the formula to find percentage increase, we will solve this:
{(86 - 150) / 86} × 100 = 74.42
So, the percent increase from 86 books to 150 is 74.42%
40/6 what is the closest whole number?
Answers
EXPLANATION/EQUATION:
40 ÷ 6 = 6.666...
≈ 7
After you divide, you are left with 6.666... When rounding to the nearest whole number, the number needs to be rounded based on the tenth; in this case, the tenth is represented by a 6. 6 is closer to 10 than 1, so you round up. Therefore, the answer is 7.
Write two algebraic expressions, one with a quotient of x5 and one with a product of x5
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An algebraic expression with a quotient of [tex]x^{5}[/tex] is [tex]\frac{x^{7} }{x^{2} }[/tex] and An algebraic expression with a product of [tex]x^{5}[/tex] is [tex]x^{3}\times x^{2}[/tex].
We need to write two algebraic expressions, one with a quotient of [tex]x^{5}[/tex] and one with a product of [tex]x^{5}[/tex].
What is an algebraic expression?An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.
Now, an algebraic expression with a quotient of [tex]x^{5}[/tex] is
[tex]\frac{x^{7} }{x^{2} } =x^{7-2}=x^{5}[/tex] (∵[tex]\frac{a^{m} }{a^{n} } =a^{m-n}[/tex])
An algebraic expression with a product of [tex]x^{5}[/tex] is
[tex]x^{3}\times x^{2} = x^{3+2}=x^{5}[/tex]
Therefore, an algebraic expression with a quotient of [tex]x^{5}[/tex] is [tex]\frac{x^{7} }{x^{2} }[/tex] and An algebraic expression with a product of [tex]x^{5}[/tex] is [tex]x^{3}\times x^{2}[/tex].
To learn more about an algebraic expression visit:
https://brainly.com/question/19245500.
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Divide. (3 3/4)÷(−2 1/2) Enter your answer as a mixed number, in simplified form, in the box.
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Because (4*3) + 3 = 15. Similary find the improper fraction for -2 1/2.
(15/4) / (-5/2) = -3/2
Convert -3/2 into a mixed fraction.
Therefore, -3/2 = -1 1/2.
Last month, a coral reef 7000 grew millimeters taller. How much did it grow in meters?
Answers
Knowing this, let's cross multiply:
[tex] \frac{7000 millimeters}{1 month} * \frac{1 meter}{1000millimeters} = 7 meters [/tex]
(units that are the same and diagonal from each other cancel out)
So, the answer is: Last month, a coral reef grew 7 meters.
Tanya is making goodie bags for her party. Each bag has 6 toys, 4 pieces of candy, and 12 stickers. To keep the proportions the same, she will need ? toys and ? stickers in each bag
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One meter is approximately equal to 39.39 inches.About how many inches are in 3 meters? A 40 B 90 C 120 D 150
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1. 1 5/8 divided by - 1 3/5
2. -5 1/3 divided by 2 3/4
Answers
1. 1 5/8 / -1 3/5 = -25/24 = -1 1/24
2. -5 1/3 / 2 3/4 = 10/9 = -1 1/9
Carla gets a 96% on a 50 question test . What what fraction of the answers did she get wrong?
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To find this out, figure out the amount of questions she got correct..
To get that number, multiply 96% as a decimal, (0.96) by 50.
0.96 * 50 = 48.
Turn 48 into fraction, (over 50)
48/50 is the answer.
Hope this helps!
How to write one hundred eight and ninety-five hundredths as a decimal
Answers
108.95
A bicyclist rides 12 miles in 132 minutes. If she continues at this speed, how long will it take her to travel 66 miles? 24 minutes 77 minutes 660 minutes 726 minutes
Answers
1 mile - 132/12 = 11 minutes
66 miles = 11 x 66 = 726 minutes.
Hence your requires answer is 726 minutes.
Hope This Helps You!
To get this I divided 132 by 12 to get 11. Then I multiplied 11 by 66 to get 726.
Which equation correctly applies the distributive property?
A.(0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2)
B.−2.5⋅(4⋅1.045)=(−2.5⋅4)⋅1.045
C.−1.2⋅0.57⋅0.5=−1.2⋅0.5⋅0.57
D.50+1.015=(50⋅1)+(50⋅0.01)+(50⋅0.005)
Answers
Answer: Option 'A' is correct.
Step-by-step explanation:
Since we have given that
Distributive property which is expressed as
[tex]a\times (b+c)\\\\=a\times b+a\times c[/tex]
Similarly, in option 'A', we have
(0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2)
Here, a = 0.5,
b= 0.5
c = 0.3
d = 0.2
So, it can be expressed as
[tex]a\times (b+c+d)=a\times b+a\times c+a\times d[/tex]
Hence, Option 'A' is correct.
720 pt in a hour converted to quarts in a min
Answers
1 quart = 2 pints
720/2 = 360 quarts per hour
1 hour = 60 minutes
360/60 = 6 quarts per minute
To convert 720 pints per hour to quarts per minute, divide the number of pints (720) by 2 to get quarts per hour (360), then divide by 60 minutes to find quarts per minute, resulting in 6 quarts per minute.
To convert 720 pints (pt) per hour to quarts (qt) per minute, first, we need to understand the relationship between pints and quarts. 1 quart is equal to 2 pints.
Therefore, to convert pints to quarts, we would divide the number of pints by 2. We also need to convert from per hour to per minute. Since there are 60 minutes in an hour, we divide the per-hour quantity by 60 to find the per-minute quantity.
Here's the step-by-step conversion:
Start with 720 pints per hour.
Since 1 quart is equal to 2 pints, divide 720 by 2 to convert to quarts. 720 2 = 360 quarts per hour.
To convert quarts per hour to quarts per minute, divide by 60 (since there are 60 minutes in an hour). 360 60 = 6 quarts per minute.
Therefore, 720 pints in an hour is equivalent to 6 quarts per minute.
PLEASE HELP!
The gravitational force that Earth exerts on an object is inversely proportional to the square of the distance between the center of the Earth and the object. When Bill is on the surface of Earth, 4,000 miles from the center, the gravitational force is 600 Newtons. What is the gravitational force (in Newtons) that the Earth exerts on him when he's standing on the moon, 240,000 miles from the center of the earth? Express your answer as a fraction
Answers
Find "x":
[tex] F_{gravity} = \frac{x}{r^2} [/tex]
Plug in numbers given:
[tex] F_{gravity} = \frac{x}{r^2} [/tex]
[tex]600= \frac{x}{(4,000)^2} [/tex]
[tex]600= \frac{x}{16,000,000} [/tex]
[tex]x=9,600,000,000[/tex]
Find Force using x and the new radius:
[tex] F_{gravity} = \frac{x}{r^2} [/tex]
[tex] F_{gravity} = \frac{9,600,000,000}{(240,000)^2} [/tex] = 1/6
1/6 is the gravitational force (in Newtons) that the Earth exerts on him when he's standing on the moon.
What is gravitational force?The gravitational force is a force that attracts any two gadgets with mass. We name the gravitational force attractive as it always tries to pull masses together, it in no way pushes them apart. In fact, every item, consisting of you, is pulling on every different item in the entire universe.
Learn more about gravitational force here: https://brainly.com/question/13010127
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PLEASE HELP 25 POINTSSS
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I need help with this math problem please!
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Can someone help me on number 42 please.
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Answer:
there is only 40 num so i did 40 num
Step-by-step explanation:
√y=20
squaring both side
y=20²
y=400
Find the sum or difference 1/4(q-12)+1/3(q+9)
Answers
Final answer:
To find the sum of 1/4(q-12)+1/3(q+9), distribute the fractions, combine like terms, and simplify to get the final answer of 7/12q.
Explanation:
The question requires finding the sum of two algebraic expressions involving the variable q. To solve this, we need to combine like terms after distributing the fractions through the parentheses. Here's the process:
Distribute 1/4 through (q-12): 1/4 * q - 1/4 * 12 = 1/4q - 3.
Distribute 1/3 through (q+9): 1/3 * q + 1/3 * 9 = 1/3q + 3.
Add the results together: 1/4q - 3 + 1/3q + 3.
Combine like terms: To add 1/4q and 1/3q you need a common denominator. The common denominator for 4 and 3 is 12, so convert fractions: 3/12q + 4/12q = 7/12q.
Combine constants: -3 + 3 = 0, so they cancel out.
The final answer is 7/12q.
Therefore, the simplified form of 1/4(q-12)+1/3(q+9) is 7/12q.
What is the total perimeter of the pitch and seating area?
What is the total area of the pitch and seating area?
Answers
The radius of the two semicircular areas is r = 1000 cm = 1 m.
The top rectangle has dimensions 40 m by 2 m.
One bottom rectangle has the dimensions 25 m by 0.8 m.
The other bottom rectangle has dimensions 10 m by 0.8 m.
The perimeter of the pitch and seating area is
P = 2π(1) + 40 + 4(0.8) + 40 = 83.2 + 2π m = 89.483 m
The total area is
A = π(1) + 40(2) + 25(0.8) + 10(0.8) = 111.1416 m²
Answers:
Perimeter = 89.5 m (nearest tenth)
Area = 111.1 m² (nearest tenth)
Answer:
111.1
Step-by-step explanation: