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.
Michael has $1,058.60 in his checking account. He is going to spend $499.66 on a new television, and he will spend the rest on speakers that cost $42.00 each. Which of the following inequalities would determine the maximum number of speakers, x, Michael can buy without spending more money than he has in his account?
help
Answer:
he can buy 13 speakers.
Step-by-step explanation:
first you do 1,058.60- 499.66. Then you take the answer and and divided it by 42.00 and got 13.
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
6-2x+x+8 giving 50 pts
Answer:
-2=3x
Step-by-step explanation:
Answer:
-2=3x
Step-by-step explanation:
Maria found the least common multiple of 6 and 15. Her work is shown below.
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, . . .
Multiples of 15: 15, 30, 45, 60, . . .
The least common multiple is 60.
What is Maria’s error?
Maria listed some values that were not multiples.
Maria listed factors of each number instead of multiples.
Maria should have multiplied 6 and 15 to find the least common multiple.
Maria selected a multiple that is not the least of the common multiples.
Answer:
I think its "Maria selected a multiple that is not the least of the common multiples"
Step-by-step explanation:
I think the real answer would be 30 because it the lowest number that they both share....
Answer: the answer is d, she selected a multiple that is not a least common multiple. The least common multiple is the number both sets of numbers share, which would be 30.
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!
is 0.31 less then or greater then 0.039
Answer:
0.31 is greater than 0.039
Step-by-step explanation:
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
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:
How long is 75% of 60 minutes? Explain ur reasoning. Also please explain ur reasoning :,)
Answer:
45
Step-by-step explanation:
10%x60=6 60/10
70%=42 6x7
5%=3 6/2
42+3=45
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
expand and simplify (x +2)(x+ 1)
Answer:
x²+3x+3
Step-by-step explanation:
(x+2)(x+1)
x²+x+2x+3
=x²+3x+3
Answer:
x² + 3x + 2
Step-by-step explanation:
Given
(x + 2)(x + 1)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x + 1) + 2(x + 1) ← distribute both parenthesis
= x² + x + 2x + 2 ← collect like terms
= x² + 3x + 2
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.
3 fracciones equivalentes a 4/5
Answer:
8/10, 12/15, 16/20
Step-by-step explanation:
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:
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.
Kathrine uses 7/10 of a gallon of red paint to paint 3/5 of her wall. How many gallons of red paint will she use to paint her whole wall?
A.21/50
B.7/15
C.1 1/6
D.1 3/10
Answer:
It is 1 3/10
Step-by-step explanation:
Can you guys please help me I would appreciate it soooo much!!!!!!(Any question is ok I’m just confused and my teacher won’t help me:()
Answer:
a: scale factor is 2
b: from left to right: 3, 5
c: from top to bottom: 53, 82 I think
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
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
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 )
Help and brainliest? :(
What is 5555+2929472
Answer:
2935027
Step-by-step explanation:
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
Find the value of f(-5).
y=f(x)
Answer:
???
Step-by-step explanation:
???
I NEED HELP NOWWWWW AHHHHHHHHH IM SO DUMB AND THANK YOU FOR HELPING ME
Answer:
9
Step-by-step explanation:
someone help me on my homework before i lose my sanity pls its my most recent question im done <3
what is 200 times 1238
Step-by-step explanation:
the answer is 247,600
hope this helps
Answer: the answer is 247,600
Step-by-step explanation:
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
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!
please help due in 5 min
Answer:
True
Step-by-step explanation:
Value of the function increases as x increaes
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: