1. A grand tour of four cities begins at city A and makes successive stops at cities B, C,
and D before returning to city A. If the cities are located as shown in the
accompanying figure, find the total distance covered on the tour. The units are in
miles.
0-900,800)
400,300)
D1-800,0)
ALOO
Using distance between two points, it is found that the total distance covered on the tour is of 3400 miles.
Given two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], their distance is given by:
[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
In this problem, the formula is used to find the distance covered on each tour, hence:
[tex]d_{AB} = \sqrt{(400 - 0)^2 + (300 - 0)^2} = 500[/tex]
[tex]d_{BC} = \sqrt{(-800 - 400)^2 + (800 - 300)^2} = 1300[/tex]
[tex]d_{CD} = \sqrt{(-800 - (-800))^2 + (0 - 800)^2} = 800[/tex]
[tex]d_{DA} = \sqrt{(0 - (-800))^2 + (0 - 0)^2} = 800[/tex]
Then, the total distance is given by the sum of each separate distance, hence:
[tex]d = d_{AB} + d_{BC} + d_{CD} + d_{DA} = 500 + 1300 + 800 + 800 = 3400[/tex]
The total distance covered on the tour is of 3400 miles.
You can learn more about distance between two points at https://brainly.com/question/25929988
I need help bro please I love you
Answer:
The first one ( y<-8 or y>4 )
Step-by-step explanation:
Answer:
y< -8 or y > 4
Step-by-step explanation:
Interval Notation:
(-∞,-8)∪(4,∞)
Can i please have help with this question brainliest for corecct answer
answer is D
graduent should be m¹×m²=-1
and should be the inverse of the other
help! provide the missing statement and reasons for the following proof:
Theorem: opposite sides of parallelograms are congruent
Given: Parallelogram ABCD with diagonal AC
Prove: AB ≅ CD and AD ≅ BC
Answer:
So I figured it would be easier if I sent the pics instead. Hope it helps
Quadrilateral Properties
Match the properties to the shape. Properties may be used more than once and shapes may have more than one property.
MANY POINTS FOR HELPING PLEASE!!!
what 550 divided by 12 and then divide the answer by 4
Answer:
550 / 12 = 45.84
45.84 / 4 = approximately 11.46
Answer: 11 11/24
Step-by-step explanation: 550/12 275/6/4/1
(275/6)(1/4)
275/24
11 11/24
Which expression below shows that 98 can be written as the product of prime numbers?
A 2 × 49
B 7 × 7 × 2
C 5 × 5 × 2
D 14 × 7
Answer:
Step-by-step explanation:
Option A
(-2)(-49)
=2×49
=98
Option B
(4)(-27)
=-108
Option C
(-7)(14)
=-98
Option D
(-9)(11)
=-99. As a result, there us only one correct option that equal -98 which is Option C. Hope it help!
Find the area of trapezium where area=5cm base=6cm height=8cm
Answer:
44cm2
Step-by-step explanation:
[8×(5+6)]/2
=(8×11)/2
=88/2
=44cm2
do you use multiplication at all when solving for x
Giving branliest to correct
Answer:
2/3
Step-by-step explanation:
In the problem the question is How much longer so that means subtract.
10/12 - 1/6 =2/3
Answer:
maybe 2/3 inches
let me know if its wrong..
What is the probability of rolling an even number on a number cube and flipping a tails on a coin?
Answer:
25% or 1 in 4 chance.
Step-by-step explanation:
The chances for rolling an even number are 3/6, because there are 6 numbers total, and 3 are even.
3/6 can be re-written as 1/2.
The chances of landing tails are also 1/2, because there are 2 sides and tails is one of them.
So then, multiply 1/2 by 1/2 to get 1/4.
HELPP ME PLEASEEE ! I NEED IT RNN
Solve using elimination 5x+7y=9
2x-3y=-37
Answer:
x = -8
y = 7
Step-by-step explanation:
5x + 7y = 9
2x - 3y = -37
1.) First, multiply each side to match either y-values or x-values. (In this example, we'll use match x-values)
10x + 14y = 18 (multiplied by 2)
10x - 15y = -185 (multiplied by 5)
2.) Then, subtract the entirety of one equation to isolate the y-value.
10x + 14y = 18
-10x + 15y = 185
3.) Add and subtract values and divide to find y.
29y = 203
y = 7
4.) Plug-in y to solve for x into one equation, or repeat steps 1-3.
15x + 21y = 27
14x - 21y = -259
29x = -232
x = -8
how to calculate $15 with a 40% off
Answer:
15 x 0.40=6
so subtract 6 from 15, and you have $9.
Hope this helps!
Answer:
$9 is correct
Step-by-step explanation:
$15 x 60% is $9
to find 60% you use 100%-40% equals 60%
does this make sense?
i need help on this assignment
Find the slope of the graphed line.
ASAP
y = mx+b
y = 1/3x+4
Sincerely,
William
2+2×4 that is my question i need help
Answer:
10
Step-by-step explanation:
2+(2x4)
2x4=8
2+8=10
Answer:
10
Step-by-step explanation:
so we need to use PEMDAS
2×4=8
8+2=10
20 times the difference of a number, z, and 7
Answer:
20(z-7)
Step-by-step explanation:
Solve the system of linear equations.
13x+y=1
2x+6y=6
Answer:
x = 0 and y = 1 Solution: (0, 1)
Step-by-step explanation:
13x + y = 1 multiply by -6 ⇔ -78x - 6y = -6
2x + 6y = 6 do not change ⇔ + 2x + 6y = 6
-76x = 0
x = 0
Use the second equation to solve for y if x = 0
2x + 6y = 6
2(0) + 6y = 6
0 + 6y = 6
6y = 6
y = 1 Solution (0,1)
Metallic blocks x,y, and z were placed in the graduates a, b, c. The initial volume of liquid in the equal sized graduates was 40 ml. Which block was placed in which graduate.
Answer:
hope it helps B-Y, C-Z, A-X
Given the scatter plot below, write the equation for the line of best
fit in slope-intercept form.
Answer:
y = 5x + 6
Step-by-step explanation:
lmk if you want an explanation
Marco is five years less then twice hi sister Leah's age. Their mother is 14 years older than Marco and Leah's combined ages. If their mother is 48 years old, how old is Marco?
Answer:
Marco is 21
Step-by-step explanation:
Let the sister's age = x
Marco's age = 2*x - 5
x + 2x - 5 + 14 = 48 Combine the left side of the equation.
3x + 9 = 48 Subtract 9 from both sides
3x = 48 - 9
3x = 39 Divide by 3
x = 39/3
x = 13
So the sister is 13
Marco = 2x - 5 = 2*13 - 5
Marco = 21
Tina rolls a dice what is the probability that she rolls a 1 b3 c4 d 3 or 4
Using the probability concept, it is found that there is a [tex]\mathbf{\frac{1}{6}}[/tex] probability that she rolls a 1.
A probability is the number of desired outcomes divided by the number of total outcomes.In a dice, there are 6 sides, one of which is a roll is 1, then:
[tex]p = \frac{1}{6}[/tex]
There is a [tex]\mathbf{\frac{1}{6}}[/tex] probability that she rolls a 1.
For more on probabilities, you can check https://brainly.com/question/24437717
Use the table to work out the values of
a
,
b
,
c
, and
d
.
x
y
=
3
x
−
x
2
+
6
−
3
a
−
2
−
4
−
1
b
0
6
1
8
2
c
3
d
Answer:
Here is your answer
Step-by-step explanation:
50
Choose the best response to the question below:
Answer:
d
Step-by-step explanation:
the answer is d because 2×3 equal 6
[tex]\\ \sf\Rrightarrow a*b=ab^2[/tex]
a=2b=3[tex]\\ \sf\Rrightarrow 2*3[/tex]
[tex]\\ \sf\Rrightarrow 2(3)^2[/tex]
[tex]\\ \sf\Rrightarrow 2(9)[/tex]
[tex]\\ \sf\Rrightarrow 18[/tex]
pls help me! (more info in photo)
Answer:
x+ 3/2y= 15
Step-by-step explanation:
8x+12y=120
To put the equation into standard form, the leading coefficient has to be 1. So, divide the whole equation by 8.
x+ 3/2y= 15
P^2 x 2p^4 x q x q^2
(m^2 x m^4) ÷ m^5 x m^2
Answer:
[tex]\huge\boxed{2p^6q^3}\\\boxed{m^3}[/tex]
Step-by-step explanation:
[tex]Use\\\\a^n\cdot a^m=a^{n+m}\\\\p^2\cdot2p^4\cdot q\cdot q^2=(p^2\cdot2p^4)\cdot (q\cdot q^2)=2p^{2+4}q^{1+2}=2p^6q^3[/tex]
[tex]Use\\\\a^n\cdot a^m=a^{n+m}\\\\a^n:a^m=a^{n-m}[/tex]
[tex](m^2\cdot m^4):m^5\cdot m^2=m^{2+4}:m^5\cdot m^2=m^{6-5}\cdot m^2=m^{1+2}=m^3[/tex]
What is the slope of a line that passes through the points (5, 6) and (−11, 14)
Answer:
m = -1/2
Step-by-step explanation:
let me know if it helped
(too lazy to write a explanation)
−3x+5y=2x+3y ordered pairs
Answer:
y=5/2x
Step-by-step explanation:
5x=2y
y=5/2x
you cant get ordered pairs from this directly you will only get an equation
Maurice spent $12.00 of the $25.00 on a gift card. Which decimal represents the fraction the $25.00 Maurice spent?
Answer:
0.60
Step-by-step explanation:
25/2 = 12.5 wich means that it can't be 0.50 or lower so it has to be 0.60