Kim drove from Mathtown at (-2, 5) to Geometryville at (3, -1) to Algebra Springs at (-6, -5), and then back to Mathtown. Find the total distance Kim traveled to the nearest hundredth.
Answers
Answer:
Option (3)
Step-by-step explanation:
To solve this question we will use the formula,
Distance (d) between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Distance between Mathtown (-2, 5) to Geometryville (3, -1)
[tex]d_1=\sqrt{(3+2)^2+(-1-5)^2}[/tex]
[tex]=\sqrt{25+36}[/tex]
[tex]=\sqrt{61}[/tex]
[tex]=7.81[/tex]
Distance between Geometryville (3, -1) and Algebra Springs (-6, -5)
[tex]d_2=\sqrt{(3+6)^2+(-1+5)^2}[/tex]
[tex]=\sqrt{81+16}[/tex]
[tex]=\sqrt{97}[/tex]
[tex]=9.85[/tex]
Distance between Algebra Springs (-6, -5) and Mathtown (-2, 5)
[tex]d_3=\sqrt{(6-2)^2+(5+5)^2}[/tex]
[tex]=\sqrt{16+100}[/tex]
[tex]=\sqrt{116}[/tex]
[tex]=10.77[/tex]
Now total distance traveled by Kim = [tex]d_1+d_2+d_3[/tex]
= 7.81 + 9.85 + 10.77
= 28.43
Therefore, Option (3) will be the answer.
Related Questions
Steps for solving 4x - 12 = 20 are shown.
Explain how Step 3 helps solve the equation.
4x - 12 = 20
4x-12 +12 - 20 +12
4x = 32
4x32
4 4
X = 8
Original equation
Step 1
Step 2
Step 3
Step 4
A. Multiplying both sides by 4 undoes the division.
B. Dividing both sides by 4 eliminates the variable.
C. Multiplying both sides by 4 isolates the variable.
D. Dividing both sides by 4 isolates the variable.
SUBMIT
Answers
For the given equation, in step 3 it is dividing both sides by 4 to eliminate the variable. Hence, option B is correct.
What is an arithmetic operation?The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.
The step 3 according to the question is,
4x = 32
Dividing both sides by 4,
x = 32/4
x = 8
Therefore, the final result will be x = 8.
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Select the equivalent expression (7/2)^8
A. 7/2^8
B.28
C.7^8/2^8
D.(7-2)^2
Answers
Answer:
The answer is A
Step-by-step explanation:
[tex] { (\frac{7}{2} )}^{8} = {7}^{8} \div {2}^{8} [/tex]
Maya’s grandfather open a savings account for a while she was born. He open the account with $100 and not add or take out money after that. The money in the account grows at a rate of 4% per year. Make a table to show the amount in the account from the time Maya was born until she turn 10.
Answers
Answer:
1140
Step-by-step explanation:
because 4% equals 4 pounds × 10 equals 40% which equals 40 pounds and 100 times 10 equals 1000 plus the extra 100 pounds from the beginning
Jesus tiene un terreno cuadrado y su hermano uno rectángulalar,El Largo Del Terreno De Su hermano mide 5 metros más que el lado que el terreno que Jesús.mientras que el ancho del terreno de Si hermano mide lo mismo que el ancho del terreno cuadrado. ¿Cual es el area total de los terrenos?
Answers
Answer:
El terreno de Jesus es cuadrado.
El terreno del hermano es rectangular.
Definimos las variables:
Lh = Largo del terreno del hermano.
Ah = Ancho del terreno del hermano
Lj = Largo del terreno de Jesus.
Sabemos que:
Lh = 5m + Lj
Ah = Lj.
Sabemos que el area de un quadrado de lado L es igual a L^2.
Entonces el area del terreno de Jesus es Lj^2.
El area de un rectangulo de largo L y ancho A es igual a A*L.
El area del terreno del hermano de Jesus es:
Lh*Ah = (5m + Lj)*Lj
= 5m*Lj + Lj^2.
The value of -4^2 is _____.
8
-16
16
-8
And please tell me why
Answers
Answer:
16
Step-by-step explanation:
A negative times a negative is a positive. -4^2 is equal to -4 times -4. This would give us 16.
please help for 15 points
Answers
An architect is designing a rectangular house that is 60 feet long and 40 feet wide. He uses of the area for the 1/4 living room and of the area for the 1/6 kitchen. What area, in square feet, is left over for other parts of the house?
A 1400 ft2
B 1000 ft2
C 140 ft2
D 100 ft2
Answers
Answer:
6o×40=2400
area 1/4=2400÷4=600
area 1/6=600÷6=100
(d)=100 ft2
From the sum of 3x-4y+5z,2x-7y and 9z-5y subtract -2xy-2y-2z
Answers
Answer:
5x - 14y + 16z + 2xy
Step-by-step explanation:
Given expressions:
3x - 4y + 5z
2x - 7y
9z - 5y
-2xy - 2y -2z
Solution:
Sum of 3x - 4y + 5z
2x - 7y
9z - 5y
= 3x - 4y + 5z + 2x - 7y + 9z - 5y
= 3x + 2x - 4y - 7y -5y + 5z + 9z
= 5x - 16y + 14z
Subtract -2xy - 2y -2z
= 5x - 16y + 14z - ( -2xy - 2y -2z )
= 5x - 16y + 14z + 2xy + 2y + 2z
= 5x - 16y + 2y + 14z + 2z + 2xy
= 5x - 14y + 16z + 2xy
Solve for the letter A
Answers
Answer:
a=bcd
Step-by-step explanation:
Answer:
a=bcd
Step-by-step explanation:
Let's solve for a.
a
dc
=b
Step 1: Multiply both sides by cd.
a=bcd
Answer:
a=bcd
use the binomial theorem to expand (4-2z)^3
Answers
Answer:
(
t
+
w
)
4
=
t
4
+
4
t
3
w
1
+
6
t
2
w
2
+
4
t
1
w
3
+
w
4
Explanation:
First, you should get to know Pascal's triangle. Here's a small portion of it up to 6 lines. Basically you're just adding the numbers that are beside each other, then writing the sum below them. (For example,
1
+
2
in the third line equals to
3
in the fourth line.) If you want a better explanation for that, feel free to do some more research on it.
Expansion of ( 4- 2z)³ using binomial expansion is equals to
64 - 96z + 48z² - 8z³.
What is binomial theorem?
" Binomial theorem is a way of expanding a binomial expression with exponent n, where n is any positive integer."
Formula used
Binomial Expansion
(a - b) ⁿ = ⁿC₀ aⁿb⁰+ ⁿC₁ aⁿ⁻¹ (-b)¹ + ⁿC₂ aⁿ⁻² + ....... + (-1)ⁿ ⁿCₙ a° bⁿ
According to the question,
Given,
(4 -2z)³
a = 4
b = 2z
Substitute the value in the formula of binomial expansion we have,
= ³C₀ (4)³ (-2z)⁰ +³C₁ (4)² (-2z)¹ +³C₂ (4)¹ (-2z)² + ³C₃ (4)⁰ (-2z)³
= (4)³ - 3 (4)² (2z) + 3 (4) (2z)² -(2z)³
= 64 -96z +48z² -8z³
Hence, expansion of ( 4- 2z)³ using binomial expansion is equals to
64 - 96z + 48z² - 8z³.
Learn more about binomial theorem here
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Solve the equation. If the equation is an identity, choose identity. If it has no solution, choose no solution.
- 1/2x+1=7x−14
(the 1/2 is got a - in the middle before it)
Answers
Answer:
x=2
Step-by-step explanation:
- 1/2x+1=7x−14
1289 x 13 =?
a) 17986
b)15678
c) 16757
d)1389
This is for younger kids!
Answers
The correct answer is c.16757 hope this helps !
The sum of ruqiyo’s age and Mohammed’s age is 117. Five times ruqiyo’s age is 9 more than 3 times mohammed’s age. How old is each person
Answers
Answer:
45 and 72Step-by-step explanation:
Let the ages be r and m
We have:
r + m = 1175r = 9 + 3mSubstitute m in the second equation and solve for r:
m = 117 - r5r = 9 + 3( 117 - r)5r = 9 + 351 - 3r5r + 3r = 3608r = 360r = 360/8r = 45Then m is
m = 117 - 45 = 72Show some different ways you can make 7,502.
Answers
Answer:
7000+500+0+2
Step-by-step explanation:
I hope this helps you!
Will MARK BRAINLIEST!!!!! What is the domain of the given function?
{x | x = –6, –1, 0, 3}
{y | y = –7, –2, 1, 9}
{x | x = –7, –6, –2, –1, 0, 1, 3, 9}
{y | y = –7, –6, –2, –1, 0, 1, 3, 9}
Answers
(-6,-1,0,3)
if a normal dice is rolled 900 times how many times is the number 4 expected
Answers
Answer:
125 times
Step-by-step explanation:
Here, we are required to determine how many times is the number 4 expected if a normal dice is rolled 900 times.
The number of times the number 4 is expected when a normal dice is rolled 900 times is; 900(1/6) = 150times.For a normal dice, there are six faces labelled numbers; 1, 2, 3, 4, 5, 6.
The probability of obtaining the number 4 each time the die is rolled is; 1/6
At the first roll of the normal dice, the probability of obtaining the number 4 is 1/6.At the first roll of the normal dice, the probability of obtaining the number 4 is 1/6.At the second roll of the normal dice, the probability of obtaining the number 4 is 1/6.At the first roll of the normal dice, the probability of obtaining the number 4 is 1/6.At the second roll of the normal dice, the probability of obtaining the number 4 is 1/6.At the third roll of the normal dice, the probability of obtaining the number 4 is 1/6.The probability of obtaining 4 in all 3 rolls is;
(1/6 + 1/6 + 1/6) = 3(1/6).
Ultimately, the number of times the number 4 is expected when a normal dice is rolled 900 times is; 900(1/6) = 150times.
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please answer. really need help because i dont understand
Answers
13m = 3 someone help me!
Answers
Answer:13m=3
Step 1: Divide both sides by 13.
13m = 3
Answer:
m= (3 /13)
write it as a decimal
hope this helps
:)
Find the midpoint of the segment with the following endpoints.
(6,3) and (0,9)
help please
Answers
x1 = 6
y1 = 3
x2 = 0
y2 = 9
add the x’s together:
x1 + x2 aka:
6 + 0 = 6
divide 6 by 2 which = 3
that’s our new x.
now we do the y’s.
y1 + y2 aka:
3 + 9 = 12
divide 12 by 2, and we get 6.
that’s our new y.
now we put the x and y together as an ordered pair and the midpoint:
(3,6)
hope this helps! ❤️
It took Kyle and yuan 11 minutes to canoe across lake Wyandot from one dock to the other. What was their average speed in kilometers per hour?
Answers
Answer:
30 min
Step-by-step explanation:
So, how long does it take to kayak a mile? It takes about 30 minutes to kayak 1 mile on flat calm water. Obviously this number will depend on several factors: how much paddling experience you have, wind and wave conditions, and what type of kayak you’re paddling.
is the slope of the line with equation y-3=-1/2(x-2)
Answers
Answer:
-1/2 is the slope.
Step-by-step explanation:
y-3 = -1/2(x-2)
y-3 = -1/2x +1
y= -1/2x + 4
m= -1/2
What’s question number 2? I have been stuck on this.
Answers
Answer:
i feel like it's B. 3
Step-by-step explanation:
because if you like simplify the problem 3(m+n)-4=5 and then subtract 4 and add 4 to 5 the 5 becomes a 9. then if you divide 9 by 3 the answer would be 3
(10 points) I need help
-(x+1)+7=10
4x+7=2x-9
please show all work
Answers
Answer:
X= - 4
X= - 8
Step-by-step explanation:
-x - 1 +7 =10
-x +6 =10
-x = 10-6
-x = 4
Divide by - 1
X = - 4
4x +7=2x-9
4x-2x =-9 - 7
2x =-16
Divide by 2
X = - 8
The length of a rectangle is 3 inches more than its width. If the perimeter is 42 inches find the demensions of the rectangle
Answers
Answer:
W-18inches L-21inches
Step-by-step explanation:
42-6 = 36/2 = 18
Width is 18 inches
and
Length is 21 inches
The answer to the problem 5 x (4 + 1) is called a _____. 2 points
Answers
Answer:
25
Step-by-step explanation:
5x(4+1)=
4+1=5
5x5=25
Which equation represents a line that is parallel to the line with equation y = 2x + 1?
Select all that apply.
A. y= 2x - 8
B. y=-2x + 1
C. 2x + y=7
D. -2x + y = 2
E. -2x - y=9
Answers
Answer:
A and D
Step-by-step explanation:
Parallel lines have same slope.
equations of a line that is parallel to the line with equation y = 2x + 1 are
[tex]y=2x-8 \; and \; -2x+y=2[/tex]
Options A and D
Given :
The equation of a parallel line [tex]y=2x+1[/tex]
The given equation is in the form of y=mx+b
where m is the slope
Slope of parallel lines are same .
Slope of given line is 2.
Lets check whether the slope of all lines given in the options are equal to 2
[tex]y= 2x - 8\\slope =2\\\\y=-2x + 1\\slope =-2\\\\2x + y=7\\y=-2x+7\\slope =-2\\\\-2x + y = 2\\y=2x+2\\slope =2\\\\-2x - y=9\\-y=2x+9\\y=-2x-9\\slope =-2[/tex]
Equations A and D have same slope 2
equations of a line that is parallel to the line with equation y = 2x + 1 are
[tex]y=2x-8 \; and \; -2x+y=2[/tex]
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what is the answer to 10 + 6x = 2(3x – 5)
Answers
Answer:
Step-by-step explanation:
10 + 6x = 6x - 10
10 - 10 = 6x -6x
0 = 0
equation is wrong
1.
Write the following number in words: 9,300,695.
Answers
Answer:
nine million, three hundred - thousand, six hundred ninety - five
Step-by-step explanation:
nine million, three hundred - thousand, six hundred ninety - five
9,000,000. 300,000. 600. 95.
Answer:
Step-by-step explanation:
nine million three hundred thousand six hundred and ninety five
x=-3
f (x) = -2x +4
f(x) = ?
Answers
Answer:
10
Step-by-step explanation:
-2X+4
-2(-3)+4
6+4
10
I need help ASAP cause I'm stuck
Answers
Answer:-16r^7
Step-by-step explanation: