Answer: y=1/3x - 22/3
Step-by-step explanation:
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.
Does anyone know these answers? 50 pts to you if u do.....don't steal from me.
y = -2x + 3
y = -x + 10
y = 4x + 10
y = 3/2x - 2
y = -1/2x - 1
y = x + 5
y = 25x + 5
y = .99x + 1.99
y = x - 2
y = -1.50 + 1.50
y = 42x + 27
y = -1/3x - 2
now i am in my phone can see the photo
sometimes in the computer don't appear the picture
(3-х)
-Чx
What is the awnser for this ?
Answer:
-1x or 1x
Step-by-step explanation:
Please answer quickly! Brainliest and thanks IF HELPFUL and CORRECT! Lots of points!
Answer:
f(p)::500=25p
Step-by-step explanation:
The unknown is how many packs she has.
Therefore, the total amount 500 is equal to the number of packs (p) and how may are per pack.
2
Type the correct answer in each box.
What are the values of x and y that make the equations true?
Equation A
(x + yi) + (4 – 7i) = 3 – 4i
Equation B (t + yi) - (-6 + 14i) = 18 + 2i
In equation A, I =
and y =
.
In equation B, 1 =
and y =
Reset
Next
Answer:
Equation A: x = -1 and y = 3
Equation B: x = 12 and y = 16
Step-by-step explanation:
In the complex numbers (a + bi) and (x + yi)
(a + bi) + (x + yi) = (a + x) + (b + y)i(a + bi) - (x + yi) = (a - x) + (b - y)iEquation A
∵ (x + yi) + (4 – 7i) = 3 – 4i
∴ (x + 4) + (y - 7)i = 3 - 4i
→ Compare the real parts and compare the imaginary parts
∴ x + 4 = 3 and y - 7 = -4
∵ x + 4 = 3
→ Subtract 4 from both sides
∴ x + 4 - 4 = 3 - 4
∴ x = -1
∵ y - 7 = -4
→ Add 7 to both sides
∴ y - 7 + 7 = -4 + 7
∴ y = 3
Equation B
∵ (x + yi) - (-6 + 14i) = 18 + 2i
∴ (x - -6) + (y - 14)i = 18 + 2i
→ (-)(-) = (+)
∴ (x + 6) + (y - 14)i = 18 + 2i
→ Compare the real parts and compare the imaginary parts
∴ x + 6 = 18 and y - 14 = 2
∵ x + 6 = 18
→ Subtract 6 from both sides
∴ x + 6 - 6 = 18 - 6
∴ x = 12
∵ y - 14 = 2
→ Add 14 to both sides
∴ y - 14 + 14 = 2 + 14
∴ y = 16
Answer: In equation A, -1 and 3 . In equation B, 12 and 16 .
picture below
Step-by-step explanation:
The polynomial p(x)=3x^3-5x^2-4x+4p(x)=3x 3 −5x 2 −4x+4p, left parenthesis, x, right parenthesis, equals, 3, x, cubed, minus, 5, x, squared, minus, 4, x, plus, 4 has a known factor of (x-2)(x−2)left parenthesis, x, minus, 2, right parenthesis. Rewrite p(x)p(x)p, left parenthesis, x, right parenthesis as a product of linear factors.
Answer:
(3x-2)(x-2)(x+1)
Step-by-step explanation:
Here, given a factor of 3x^3 -5x^2 -4x + 4, we want to fully express the polynomial as a product of its linear factor
To find the other factors, we shall divide the polynomial by the given factor
That will be;
3x^3-5x^2-4x + 4/(x-2)
we use long polynomial division here
Please check attachment for the division
The division yields 3x^2 + x - 2
what is left is to factorize the expression above
That will be;
3x^2 + 3x -2x - 2
= 3x(x + 1) -2(x + 1)
So we have (3x-2)(x + 1)
So the complete factorization will be;
3x^3-5x^2-4x + 4 = (x-2)(3x-2)(x+1)
Which is the best statement regarding an operating characteristic curve? A. As the fraction defective increases, the probability of accepting the lot also increases. B. As the fraction defective decreases, the probability of accepting the lot also decreases. C. As the lot tolerance percent defective decreases, the consumer's risk also decreases. D. As the AQL decreases, the producer's risk also decreases.
Answer:
D. As the AQL decreases, the producer's risk also decreases.
Step-by-step explanation:
The characteristic curve is the graph that shows the relation between two variables.
Operating characteristic curve helps in the selection of sampling plans that are effective in reducing risks.
In case of an operating characteristic curve, as the AQL decreases, the producer's risk also decreases.
Option D is correct
Simplify the expression.
14 - 3z + 8 + 2
Answer: 24-3z
Step-by-step explanation: 14+8+2=24-3z
C is opposite ____.
Answer:
B
Step-by-step explanation:
B
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
?????Ez question?????
Answer:
C
Step-by-step explanation:
What equation is graphed in this figure?
y-4= = -⅓(x+2)
y-3= ⅓(x + 1)
y+ 2 = -3(x - 1)
y - 5 = 3 (x - 1)
Answer:
y - 5 = 3(x - 1)
Step-by-step explanation:
Let the equation of the line passing through a point (x', y') and slope 'm' is,
y - y' = m(x - x')
Since slope of a line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is represented by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through (0, 2) and (1, 5) is,
m = [tex]\frac{5-2}{1-0}[/tex] = 3
Now equation of the line passing through a point (1, 5) and slope = 3 will be,
y - 5 = 3(x - 1)
Option (4) is the answer.
Answer:
y−5=3(x−1)
Step-by-step explanation:
10 points
1. The retail price of an electric toothbrush is $40. What is the price after
a markdown of 30%?*
Answer:
The answer is 12
Step-by-step explanation:
solve for x
9x+4=40
please give an explanation
Answer: the x=4
9(4)+4=40
Step-by-step explanation:
If I buy a 7.2 oz bag of cheese-its for $1.99 how much will I be paying for 1 oz?
Answer:
i think 0.28
Step-by-step explanation:
Answer:
You would pay $0.28 for 1 oz of bag of cheese
Step-by-step explanation:
$1.99 (price for 7.2 oz) ÷ 7.2 oz (how much the bag weighs) = $0.28 (rounded since the original number was: 0.2763888)
Carolina goes to a paintball field that charges an entrance fee of \$18$18dollar sign, 18 and \$0.08$0.08dollar sign, 0, point, 08 per ball. The field has a promotion that says, "Get \$10$10dollar sign, 10 off if you spend \$75$75dollar sign, 75 or more!" Carolina wonders how many paintballs she needs to buy along with the entrance fee to get the promotion.
Let BBB represent the number of paintballs that Carolina buys.
1) Which inequality describes this scenario?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
18+0.08B \leq 7518+0.08B≤7518, plus, 0, point, 08, B, is less than or equal to, 75
(Choice B)
B
18+0.08B \geq 7518+0.08B≥7518, plus, 0, point, 08, B, is greater than or equal to, 75
(Choice C)
C
18+0.08B \leq 1018+0.08B≤1018, plus, 0, point, 08, B, is less than or equal to, 10
(Choice D)
D
18+0.08B \geq 1018+0.08B≥10
Answer:
carolina needs to buy at least 713 paintballs to get $10 off
Step-by-step explanation:
Entrance fee = $18
Fee per ball = $0.08
The field has a promotion that says, "Get $10 off if you spend $75 or more"
Let B represent the number of paintballs that Carolina buys.
18 + 0.08B ≥ 75
Subtract 18 from both sides
0.08B ≥ 75 - 18
0.08B ≥ 57
Divide both sides by 0.08
B ≥ 57 / 0.08
B ≥ 712.5
Approximately
B ≥ 713
carolina needs to buy at least 713 paintballs to get $10 off
Math help please! - ( 4/5 )
7.6x-1 is the answer
Please help! due in less than 10 mins. please !! thank you so much
What is y?
Answer:
180
Step-by-step explanation:
PLEASE HELP DUE IN HOUR!!!!!!!
I need help on answering this question.
Answer:
The value of m is 3 because (5^4)^3 = 244140625 and 5^12 = 244140625 also, this means they are both equal to each other. Another way of getting the correct answer is just seeing what times 4 will get you 12, as you can see
3 x 4 = 12.
So yea the answer is M = 3.
Step-by-step explanation:
what is 913 divided by 29
Answer:
31.483
Step-by-step explanation:
913/29=31.483
what is vertex of the graph of the function below y=x^2-10x+21
Answer:
(-4,5)
Step-by-step explanation:
Answer:
Step-by-step explanation:
it is (5,-4) the first answer is backwards
Peter needs to measure the slope of a cone-shaped pile of
sand. The vertical distance from the pile's peak to its base is
2.5 meters and the horizontal distance from its peak to its edge
is 5 meters. What is the slope of the pile of sand?
(Enter your answer as a decimal rounded to the nearest tenth)
Answer:
The slope of the pile of sand is 0.5
Step-by-step explanation:
Since slope = vertical distance/horizontal distance.
Here, the vertical distance from the pile's peak to its base is 2.5 meters and the horizontal distance from its peak to its edge is 5 meters.
So, we calculate the slope as
slope = vertical distance/horizontal distance where vertical distance = vertical distance from the pile's peak to its base = 2.5 meters and horizontal distance = horizontal distance from its peak to its edge = 5 meters.
slope = vertical distance/horizontal
slope = 2.5 meters/5 meters
slope = 0.5
So, the slope of the pile of sand is 0.5
Answer this please!
Answer:
Its the second option
Step-by-step explanation:
Answer:
c reflection on the y axis by 2 units
Step-by-step explanation:
What is 180% of 4090
Answer:
7362
Step-by-step explanation:
Multiply 1.8 with 4090.
Evaluate 2 + 3n if n = 5
Answer:
your awnser is n=1 if i wrong just message me but I'm positive that is the awnser
There are 4 grams of fiber in 1 cup of oats. How many grams of fiber are in 3 cups of oats?
Answer:
12 grams of fibre
Step-by-step explanation:
4 {times} 3
WILL GIVE BRAINLIEST!
Which statement best illustrates using the vertical line test to determine if the graph below is a function of x?
The graph is not a function of x because the line x = 0 intersects the graph at two points.
The graph is a function of x because the line x = 5 does not intersect the graph.
The graph is not a function of x because the line y = 0 intersects the graph at two points.
The graph is a function of x because the line y = 5 does not intersect the graph.
Answer:
The graph is not a function of x because x=0 intersects the graph at two points.
Step-by-step explanation:
The vertical line test is when you draw, well, a vertical line through the graph. the slope of a vertical line is undefined, and the formula written as x=_. So we can eliminate the choices with y=_.
We can clearly see that this graph isn't a function, so we can eliminate the answer choices that say that the graph is a function.
Just in case, draw a line at x=0, to check that it does indeed cross the graph in 2 places.
Answer:
a
Step-by-step explanation:
took it on edge 2021
x=3
y=5
find the value of
2x squared + 3y squared
{2×3}×{2×3} +{3×5}×{3×5}
36+225=261
The function is f(x) is shown in this graph. Compare the slopes.
Answer:I believe the slope is less
Step-by-step explanation:
