Answer: 5000000000..........
Superman is working at the Daily Planet Newspaper P(100, 40). He needs to fly to stop a bank robbery at B(40. 80) and then bring the criminals to jail at (130, 105). Finally he needs to fly back to the Daily Planet to get back to work as "Clark Kent'. What is the total distance for the trip?
Given:
Superman is working at Daily Planet Newspaper P(100, 40).
Bank robbery at B(40,80).
Criminals to jail at C(130, 105).
Then fly back to the Daily Planet.
To find:
The total distance for the trip.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, the distance between Daily Planet Newspaper P(100, 40) and place of bank robbery at B(40,80) is
[tex]PB=\sqrt{(40-100)^2+(80-40)^2}[/tex]
[tex]PB=\sqrt{(-60)^2+(40)^2}[/tex]
[tex]PB=\sqrt{3600+1600}[/tex]
[tex]PB=\sqrt{5200}[/tex]
[tex]PB=20\sqrt{13}[/tex]
Similarly,
Distance between place of bank robbery at B(40,80) and jail at C(130,105) is
[tex]BC=\sqrt{\left(130-40\right)^2+\left(105-80\right)^2}[/tex]
[tex]BC=5\sqrt{349}[/tex]
Distance between jail at C(130,105) and Daily Planet Newspaper P(100, 40) is
[tex]CP=\sqrt{\left(100-130\right)^2+\left(40-105\right)^2}[/tex]
[tex]CP=5\sqrt{205}[/tex]
Total distance for the trip = PB+ BC +CP
[tex]Trip=2\sqrt{13}+5\sqrt{349}+5\sqrt{205}[/tex]
[tex]Trip=7.2111+93.4077+71.5891[/tex]
[tex]Trip=172.2079[/tex]
[tex]Trip\approx 172.21[/tex]
Therefore, the total distance for the trip is about 172.21 units.
Find the slope of the line
A. 1/2
B. 2
C. -1/2
D. -2
Answer:
A. 1/2
Step-by-step explanation:
rise over run
up 1, to the right 2
3 fracciones equivalentes a 4/5
Answer:
8/10, 12/15, 16/20
Step-by-step explanation:
please help due in 5 min
Answer:
True
Step-by-step explanation:
Value of the function increases as x increaes
Can you help please
Answer:
The last two options.
Step-by-step explanation:
y=2x+4 (replace the x with 1) y=2(1)+4 Y=6
y= 2x+4 replace the x with 2) y= 2(2)+4 Y= 8
So the y coordinate can be 6 or 8.
(x,y)
ANSWER: (1,6) and (2,8)
HOPE THIS HELPS!!!
Answer:
last two options
Step-by-step explanation:
if x=1
2*1+4=6
if x=2
2*2+4=8
Slope Application, I need help ASAP.
Answer:
89/3x
Step-by-step explanation:
Use Marhway for these types of problems
Help needed ASAP will give brainliest and 5 STARS RATE
Answer:
The correct choice is D.
is 0.31 less then or greater then 0.039
Answer:
0.31 is greater than 0.039
Step-by-step explanation:
What is the Equation of a line that has a slope
of -3 passes to the point (4,-5)
Answer:
y= -3x + 7:)
Step-by-step explanation:
Hope this helps!
Answer:
y = - 3x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute (4, - 5) into the partial equation
- 5 = - 12 + c ⇒ c = - 5 + 12 = 7
y = - 3x + 7 ← equation of line
1. which ratio is equal to 15/20?
5/4
3/5
3/4
4/3
Answer:
3/4
Step-by-step explanation:
15/5=3
20/5=4
How many solutions does the following equation have?
4(y - 30) = 4y + 12
Choose 1 answer:
A no solutions b exactly one solution c infinitely many solutions
Answer:
no solutions
Step-by-step explanation:
Sandra rolls 2 fair dice.
What is the probability of both dice showing a different number?
Answer: 1/36
Step-by-step explanation:
1/6*1/6
Answer:5:6
Step-by-step explanation:
i really need help please
Answer:look at step by step
Step-by-step explanation:how do I post questions and I’ll help you
Answer:
∠ A = 60°
Step-by-step explanation:
Using the sine ratio in the right triangle
sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{13}{15}[/tex] , thus
∠ A = [tex]sin^{-1}[/tex] ( [tex]\frac{13}{15}[/tex] ) ≈ 60°
------------------------------------------------
Using the cosine ratio in the right triangle
cosR = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{RT}{RS}[/tex] = [tex]\frac{8}{10}[/tex] , thus
∠ R = [tex]cos^{-1}[/tex] ( [tex]\frac{8}{10}[/tex] ) ≈ 36.9° ( to 1 dec. places )
Stephanie has completed six homework assignments, which is 40% of the assignments her teacher will give this term. How many assignments will be given?
Answer- 4 am guessing I am not quite sure tho
HELKPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPIHUJGYJUH
Answer:
B
Step-by-step explanation:
the hundredths place is the 5 written as 0.05 and the 4 is written as 0.004 meaning it needs to be changed to thousandths not hundredths.
When five is added to three more than a certain number, the result is 19. What is the number?
Answer: 11!
Step-by-step explanation:
Srurface area 1m 2m 1m
Answer:4
Step-by-step explanation: 1x2x1x2
Answer: it would be 2
Step-by-step explanation:
To prepare for a bake-off, Dan used 0.68 kilogram of flour each day for 4 weeks. How many grams did Dan use in those 4 weeks? (1 kg = 1,000 g) this question is from Zearn and I've been doing the same one for a week now :3 and no im not in highschool it put that for some reason
Answer:
19040 grams
Step-by-step explanation:
Dan used the amount of flour each day = 0.68 kg
He used the flour for 4 weeks.
So the number of days taken by Dan = 4 × 7 = 28 days
Now amount of flour used in 28 days = Flour used in a day × Number of days
= 0.68 × 28
= 19.04 kg
Since 1 kg = 1000 grams
Therefore, 19.04 kg = 1000 × 19.04 = 19040 grams
Dan used 19040 grams of flour in 4 weeks.
The number of grams of flour that was used is 19040 grams.
Since Dan used 0.68 kilogram of flour each day for 4 weeks, this means that the flours used will be:
= 0.68 × 4
= 2.72kg
Therefore, 2.72kg will be converted to grams and this will be:
= 2.72 × 1000 = 2720 grams
Now, we'll multiply the value by 7 since there are 7 days in a week. This will be:
= 2720 × 7 = 19040
Read related link on:
https://brainly.com/question/17025675
6-2x+x+8 giving 50 pts
Answer:
-2=3x
Step-by-step explanation:
Answer:
-2=3x
Step-by-step explanation:
Solve for x.
x/2≥−4
A. x≥−2
B. x≤−8
C. x≥−8
D. x≤−2
Answer:
C
Step-by-step explanation:
Given
[tex]\frac{x}{2}[/tex] ≥ - 4 ( multiply both sides by 2 to clear the fraction )
x ≥ - 8
simplify 13 +4(9-7) and solve
Answer:
21
Step-by-step explanation:
13 + 4(9-7) =
13 + 4(2) =
13 + 8 = 21
Answer:
21 hope this helps
Step-by-step explanation:
Subtract.
125−(−35)
Enter your answer, in the simplest form, in the box
Answer:
160
Step-by-step explanation:
The two subtraction symbols are going to cancel each other out and turn into addition symbols so the problem is 125 + 35
Answer:
-2 3/4
Step-by-step explanation:
CORRECT ANSWER WILL GET BRAINLIEST
You install 638 feet of fencing along the perimeter of a rectangular yard. The width of the yard is 152 feet. What is the length of the yard?
Answer:
the answer is 486
Step-by-step explanation:
In one year,a satellite orbiting the earth travels 9.6 *10^10 meters. Which of the following is the best way to rewrite this quantity ,using more appropriate units?
Answer:
9.6 x 10 7 km
Step-by-step explanation:
What is 5555+2929472
Answer:
2935027
Step-by-step explanation:
How would you define systems of equations
Answer:
Two or more equations that share variables.
Step-by-step explanation:
Example:two equations that share the variables x and y:
x + y = 6
−3x + y = 2
How can I describe a ordered pair
Answer:
Ordered Pair An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. The numeric values in an ordered pair can be integers or fractions.
Step-by-step explanation:
i hope this helped! :)
Answer:
An ordered pair contains the coordinates of one point in the coordinate system. A point is named by its ordered pair of the form of (x, y). The first number corresponds to the x-coordinate and the second to the y-coordinate. To graph a point, you draw a dot at the coordinates that corresponds to the ordered pair.
Step-by-step explanation:
Write the base of -(-6)^5
Answer:
h
Step-by-step explanation:
Do you mean, what's the base in "-(-6)^5
If so it's -6!
help please. no super long answers.
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
So first you have to plug in what you know...
[tex]3x+y>3\\3(\frac{3}{4})+(0)>3\\\frac{9}{4}+0>3\\\frac{9}{4} >3[/tex]
If it's hard to look at it that way you should make it look like this...
[tex]2\frac{1}{4} >3[/tex]
Now when you look at it you can tell that it's false, so [tex](\frac{3}{4},0 )[/tex] is not a solution f this inequality.
Identify the coefficient in each term
5. 4x^3
6. y^3
7. 2n^7
8. -s^4
Answer:
5. 4
6. 1
7. 2
8. -1
Step-by-step explanation:
Coefficient is usually the whole number in the beginning. I believe 5-7 are correct. I'm a little iffy about 8. Good luck!