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.
1/4 divided by 7/10 is...??
A. 7/40
B.5/14
C.10/28
Answer:
b. 5/14
Step-by-step explanation:
hope this helps. plz give brainliest
Answer:
Do keep change flip. Keep 1/4 and change division to multiplication. Also flip 7/10 to 10/7. That gives you 10/28. So C
Step-by-step explanation:
anyone think they can help with this?
Given the direct variation equation, y = 13x, find the following:
25. What is y when x is 5?
Answer: y = 65
Step-by-step explanation: PLEASE GIVE BRAINLIEST IT HELPS ALOT
Translate the expression
1 more than the product of a number and -8
Answer:
8x+1...................
2. Sarah's craft project uses pieces of yarn that are
yard long. She has a piece of yarn that is 3 yards long.
How many -yard pieces can she cut and still have 1
yards left?
Answer:
She will be able to cut approximately 2 yards off and still have 1 yard.
Step-by-step explanation:
Because 3-2=1 so there would be 1 yard left.
Bob's Gift Shop sold 550 cards for Mother's Day. One salesman, Caleb, sold 10% of the cards sold for Mother's Day. How many cards did Caleb sell?
Answer:
Caleb sold 55 cards.
550 divided by 10 = 55.
Michael is training for biathlon. He will swim every sixth day and bicycle every eighth day. On what days will he both swim and bicycle?
Answer:
The first two days he will both swim and bike are days 24 and 56.
Step-by-step explanation:
Swim: Days 6,12,18,24,30,36,42,50,56
Bicycle: Days 8,16,24,32,40,48,56,
Reescribe el número siguiente como fracción simplificada.
0.78 = ?
[tex]\frac{39}{50}[/tex]
Jack paid $120 to have his bus fixed at an auto-repair shop.
The parts of the bus cost $72, and service was charged at $12
Answer:
he only needed to pay 84 dollars.
Step-by-step explanation:
Giselle pays $240 in advance on her account at the athletic club. Each time she u
the account. Model the situation with a linear function and a graph.
1. b= 225-15x
2. B=240-15x
3. B=225+15x
4. B=240+15x
Help plz god bless you
Answer:
2. B=240-15x
Step-by-step explanation:
Answer:
The answer is B = 240 - 15x
Step-by-step explanation:
Help Please!!!What is the slope of the line passing through the points (-1, 7) and (3, 4)?
A) 4/3
B) 3/4 (wrong)
C) -3/4
D) -4 (Wrong)
Answer:
The answer is option CStep-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
We have
[tex]m = \frac{4 - 7}{3 - - 1} = \frac{ - 3}{3 + 1} = - \frac{3}{4} \\ [/tex]
We have the final answer as
[tex] - \frac{3}{4} \\ [/tex]
Hope this helps you
definition of congruence: if
Answer:
a statement that two numbers or geometric figures are congruent.
Step-by-step explanation:
Rate me please
Answer:
Definition of congruent is related to two numbers or shapes that may be equal. Congruent is like equal something can’t be congruent if it’s not equal.
Step-by-step explanation:
Rectangle ABCD is rotated 95° about point Q to create rectangle A'B'C'D'.
What is the area of rectangle A'B'C'D'?
Answer:
12
Step-by-step explanation:
Since both rectangles are of the same dimensions, simply multiply the width of the first box(2) and the length of the second box(6) together(2*6 = 12)
The area of rectangle before and after the 95° degrees rotation about point Q will be same.
What is the area of a Rectangle?
The area of a rectangle is the product of its length and width. Mathematically -
Area = length x width
Given is Rectangle ABCD is rotated 95° about point Q to create rectangle A'B'C'D'
The area of a rectangle depends on its length and width and not on its orientation. When a rectangle ABCD is rotated 95° about point Q to create rectangle A'B'C'D', in such case there will be no change in the dimensions of a rectangle. Therefore, the area of rectangle will remain same, irrespective of its orientation in plane.
Therefore, the area of rectangle before and after the 95° degrees rotation about point Q will be same.
To solve more questions on orientation of shapes, visit the link below-
https://brainly.com/question/20910518
#SPJ5
What is the equation, in vertex form, of the quadratic function that has a vertex at V(−2, −6) and passes through point P(−4, −7)?
Answer:
f(x) = -¹/₄(x + 2)² - 6Step-by-step explanation:
The vertex form of an equation of the parabola:
f(x) = a(x - h)² + k
vertex is (-2, -6) so h = -2, k = -6
so:
f(x) = a(x - (-2))² + (-6)
f(x) = a(x + 2)² - 6
the parabola goes through the point (-4, -7) so for x=-4, f(x)=-7
-7 = a(-4+2)² - 6
-7 +6 = a(-2)² - 6 +6
- 1 = a(4)
a = -¹/₄
Therefore the equation of the parabola in vertex form:
f(x) = -¹/₄(x + 2)² - 6
25 x 449 what is it estimated?
Answer:
13500
Explanation.
Round 25 to 30. 449 to 450.
30*450=13500
HURRY PLEASE!! I’ll mark you as brainliest
If 2x-5=11, what is 3x+10?
Answer:
34 I think almost positive
Step-by-step explanation:
================================
Work Shown:
Solve the given equation for x
2x-5 = 11
2x = 11+5
2x = 16
x = 16/2
x = 8
Then use this to compute 3x+10
3x+10 = 3*8+10 = 24+10 = 34
An engineer on the ground is looking at the top of a building. The angle of elevation to the top of a building is 38º. The engineer knows the building is
300 ft tall. What is the distance from the engineer to the base of the building to the nearest whole foot?
A) 234 ft
B) 487 ft
C) 185 ft
D) 384 ft
Which of these place values is found to the left of 10?
tenths
hundreds
ones
thousands
Answer:
Hundreds
Step-by-step explanation:
In order from right to left, place value is:
[tex]Ones (1)[/tex]
[tex]Tens (10)[/tex]
[tex]Hundreds (100)[/tex]
[tex]Thousands (1000)[/tex]
And so on....
In the above order from right to left, the next after 10 is hundreds.
Hence;
Option B answers the question.
I will give brainliest please help need this asap worth 100 points
Which problem do you want me to do??
Answer:
a. R = 8
b. The number of retweets in the thousands in days.
c. I don't understand c I'm sorry.
d. It means the retweets and time in days are in 23.
e. In the picture below
Step-by-step explanation:
r(t) = 9t - 4
r(4) = 9(4) - 4
divide both sides by 4
R(4) = 9 - 1
r = 8
What is x? please help
====================================================
Work Shown:
The three interior angles of any triangle always add to 180
82+54+x = 180
136+x = 180
x = 180-136
x = 44
---------------
Extra info:
If you need the value of y, then,
x+y = 180
y = 180-x
y = 180-44
y = 136
Or you could use the remote interior angle theorem to find y
y = 82+54
y = 136
The value of z is equal to y since these two angles are vertical angles.
Use a model to divide. 45 by 6
Answer:
45 / 6
Step-by-step explanation:
Step-by-step explanation:
draw 3 boxes.
put 6 on the side of the one on the left and then put 3 over the first two boxes and then put one over the last box. then on the side of the last box draw three tiny ones.
i'll try and draw it
3 3 1
6 (18) (18) (6) then draw three tiny boxes.
you do this because 6 times 3 is 18 and if you do that twice its 36. then you do 6 times 1 which gives you 6. and 6 +36=42. then you add three boxes to make 45.
this probably made no sense. sorry
L. A number, n, is multiplied by -5 The
product is - 20. whats the value of n?
Answer:
n=4
Step-by-step explanation:
itis it is already multiplying by -5 we have to multiply it by a postive will remain a negative 20
Answer: n = 4
-5n = -20
n = 4
In a person's body, 6 in every 24 bones are in the feet. If there are 208 bones in the body, predict how many bones are in the feet.
Answer:
52, it just izzzz
Step-by-step explanation:
it izz wut it izzz
Answer:
52
Step-by-step explanation:
208/24= 8.667
6 * 8.667= 52
If 1≤x≤3 and 3≤y≤5. The least possible average of 1/x and 1/y is:
(A) 2/3 (B) 3/5 (C) 4/15 (D) 8/15 (E) 4 /5
Answer:
(C) 4/15
Step-by-step explanation:
Given that 1 ≤ x ≤ 3 and we need to find the least value of 1/x. The least value of 1/x is gotten by taking the maximum value of x in the interval, hence the least value of 1/x = 1/5
Given that 3 ≤ y ≤ 5 and we need to find the least value of 1/y. The least value of 1/y is gotten by taking the maximum value of y in the interval, hence the least value of 1/y = 1/3
The least possible average of 1/x and 1/y = [tex]\frac{\frac{1}{x}+\frac{1}{y} }{2} =\frac{\frac{1}{5}+\frac{1}{3} }{2}=\frac{\frac{8}{15} }{2} =\frac{4}{15}[/tex]
Which value is a perfect square root?
O 12
O 24
O 49
O 63
Answer:
It's 49
Step-by-step explanation:
Some one help plz I would appreciate it very much
what’s 0.987+0.0853098
Answer:
1.0723098
Yw :D
if y=27 when x=12, find x when y=-12
Answer:
x = - 36
Step-by-step explanation:
Given that y varies inversely as x then the equation relating them is
y = ← k is the constant of variation
To find k use the condition y = 27 when x = 12, then
k = yx = 27 × 12 = 324, thus
y = ← is the equation of variation
When y = - 9, then
- 9 = ( multiply both sides by x )
- 9x = 324 ( divide both sides by - 9 )
x = - 36
Write (6,0) and (0,4) in standard form show all work
Answer:
There is answer for you sorry but this problem can not be put into standard form i tried but it didn't make any sense maybe you could rewrite the problem but that all i can do for you
Step-by-step explanation:
Rabbit Population The rabbit population in a certain area is 200% of last year's population. There
are 700 rabbits this year. How many were there last year?
There were rabbits last year.
♡
Answer:
Kinda confusing, (probably just me) but I think it may be 1,400 rabbits last year.
