To find the distance between two points in a plane, you can use the distance formula. The distance formula is:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Where (x1, y1) and (x2, y2) are the coordinates of the two points, and d is the distance between the points.
For example, if you have two points (3, 4) and (7, 10), you can use the distance formula to find the distance between them:
d = √((7 - 3)^2 + (10 - 4)^2)
d = √((4)^2 + (6)^2)
d = √(16 + 36)
d = √52
d = 2√13
To find the midpoint of two points, you can use the midpoint formula. The midpoint formula is:
(x,y) = ((x1 + x2) / 2, (y1 + y2) / 2)
Where (x1, y1) and (x2, y2) are the coordinates of the two points, and (x,y) are the coordinates of the midpoint.
For example, if you have two points (3, 4) and (7, 10), you can use the midpoint formula to find their midpoint of them:
(x,y) = ((3 + 7) / 2, (4 + 10) / 2)
(x,y) = (5, 7)
The midpoint of points (3,4) and (7,10) is (5,7).
It's worth noting that both distance and midpoint formulas can be adapted for three-dimensional points, where the distance formula would be:
d = √((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)
and the midpoint formula would be
((x1 + x2)/2, (y1 + y2)/2, (z1 + z2)/2)
Read more about the Midpoint formula:
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Mark is going to an awards dinner and wants to dress appropriately. He is running behind schedule and asks his little brother to randomly select an outfit for him. Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of his possible outfits are listed below. Let A AA be the event that Mark's little brother selects an outfit with black slacks and B BB be the event that he selects an outfit with a blue shirt. What is P ( A or B ) P(A or B)P, left parenthesis, A, start text, space, o, r, space, end text, B, right parenthesis, the probability that Mark's little brother selects an outfit with black slacks or an outfit with a blue shirt? Shirt Slacks Tie Outfit 1 11 Blue Black Red Outfit 2 22 Blue Grey Red Outfit 3 33 White Black Red Outfit 4 44 White Grey Red Outfit 5 55 Black Black Red Outfit 6 66 Black Grey Red
Answer:
The answer is "[tex]\bold{\frac{2}{3}}[/tex]".
Step-by-step explanation:
Pick a shirt first: 3 choices
Pick slacks next: 2 choices
Then choose a tie: 1 choice
Total: [tex]3 \times 2 \times 1 = 6[/tex] outfits.
These will be similarly divided between the two slacks, so 3 black slack outfits of [tex]6 = \frac{1}{2}[/tex]. Similarly, the 6 styles are also divided between the option of 3 shirts. 2 blue shirt outfits [tex]6 = \frac{1}{3}[/tex]
To recognize that over outfits are a mix of a blue shirt and black slack, it would be twice many more to add [tex]\frac{1}{2} \ and \ \frac{1}{3}[/tex]. Add [tex]\frac{1}{2} \ and \ \frac{1}{3}[/tex], and remove the chance for both the black slack shirt and outfit and are one of the six outfits:
[tex]\to \frac{1}{2} + \frac{1}{3} -\frac{1}{6} =\frac{3+2-1}{6} =\frac{4}{6} = \frac{2}{3}[/tex]
Clara earns $9 per hour for her work. She earned $315 last week
A. Write an equation to represent the number of hours (h) Clara worked last week. Write your answer in the text box
B. How many hours did Clara work last week?
Answer:
35 hours
Step-by-step explanation:
Clara worked for 35 hours because when you do $315/9 it equals 35. So 35 represents the hours she worked last week, and then the equation would just be, 315/9.
A slide 4.1 meters long makes an angle of 35 degrees with the ground. To the nearest tenth of a meter, how far above the ground is the top of the slide?
Answer:
hope it helped
have a nice day
The distance between the ground and the top of the slide is 2.4 meters.
Given:
The length of the slide is 4.1 meters.
The angle between slide and ground is 35 degrees.
To find:
The distance between the ground and the top of the slide.
Explanation:
Let [tex]x[/tex] be the distance between the ground and the top of the slide.
Using the given information draw a figure as shown below.
In the below figure,
[tex]\sin 35^\circ=\dfrac{x}{4.1}[/tex]
[tex]\sin 35^\circ\times 4.1=x[/tex]
[tex]2.35166...=x[/tex]
[tex]x\approx 2.4[/tex]
Therefore, the distance between the ground and the top of the slide is 2.4 meters.
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Find the simple interest on 3,750 in 5 years at 3% rate per annum.
Answer:
562.5
Step-by-step explanation:
i=?
p=3750
r=3*1/100=3/100
t=5 years
I=P*R*T
3750*5*3/100
=5625/100
=562.5
p=
A. i
B. -1
C. -i
D. 1
Answer:
la respuesta es capó la B
Step-by-step explanation:
xeos para rellenar ti dirección para saber cómo está buenardo que la mujer de mi celular no puedo consultar con ningún compañero
What about the other way up the mountain though, this car park starts at 191m with a total ascent metres of 1,000(100 Contour lines). And the distance to the top is shorter at 4km. So leaving at 11am, what time would you be expected to get to the café with no breaks? Walking pace, 3km per hour.*
Answer:
3
Step-by-step explanation:
O
What is the slope of the line passing through the points (4,-2) and (-5, 4)?
-3/2
-2/3
3/2
2/3
Answer:
B.) -⅔
Step-by-step explanation:
Subtract each variable
y¹-y
x¹-x
-2-4 = -6
4-(-5) = 9 -6/9 = -⅔
help me please, lolllllllllllllllllll
Answer:
1728ft³
Step-by-step explanation:
Split the shape into the two rectangular prism that make it up
Volume of a rectangular prism=length*width*height
Small prism=10*12*3=360ft³
Big prism=19*12*6=1368ft³
Total=360ft³+1368ft³=1728ft³
17
How long will it take for $1,000 to increase to $3,000 if placed into an account earning 3.2% compound
quarterly? (round to the nearest year)
5
on a standard 6-sided die, what is the probability of rolling a 5?
Answer:
1/6
Step-by-step explanation:
PLEASE HELP ASAP, GIVING BRAINLIEST TO CORRECT ANSWER
The vertices of parallelogram ABCD are (2,4), B(0, 0), C(6,2), and D(8, 6). Find the coordinates of the intersection of the diagonals.
Answer:
I believe it would be 4,3 not sure though
Step-by-step explanation:
Answer:
The answer would be 4,3
Step-by-step explanation:
Graph the points on a graphing calculator, that should help when you need to find diagonals
Please help! Will give Brainly!
Step-by-step explanation:
There are 5280 feet in a mile and 3600 seconds in an hour.
So a truck driving 45 miles an hour would be driving:
[tex]\frac{45 miles}{1 hour}[/tex] x [tex]\frac{1 hour}{3600 seconds}[/tex] x [tex]\frac{5280 feet}{1 mile}[/tex] = [tex]\frac{237600}{3600}[/tex] = 66 feet per seconds
t/27 = 36 algebra, I'm stuck on this and can't figure it out
Answer:
972
Step-by-step explanation:
t/27=36
t=36*27
t=972
Answer:
t=972
Step-by-step explanation:
t = 27 x 36
t = 972
Check:
972/27 = 36
Check!
Hope that helps!
Triangles are similar Find the value of x.
Please i need help Thank you in advanced
28 1/3
Step-by-step explanation:
The scale factor is 5/3
Multiply 17 by 5/3.
28 1/3
Answer:
x=28.33 or 28 1/3
Step-by-step explanation:
12/17=20/x
12x=340
x=28.33
Max ran 3 1/3 mile yesterday and 2 1/3 miles today. How far did max run in all?
Answer: 5 2/6
Step-by-step explanation:
Answer:
5 2/3
Step-by-step explanation:
3 1/3 + 2 1/3
10/3 + 7/3
= 17/3
= 5 2/3
I hope I helped!!
Please answer will give brainlyest! :D
Let's just ignore memorizing any formulas for perimeters of a rectangle and just remember this!!
The opposite sides are the same right? and there are 2 pairs? that's why we just need to find one side in each pair and multiply the sum of them by 2!
Here we already know what 2 of the sides are! Therefore we find the sum.
((5/4)x+3)+3x-2= (17/4)x+1
Then we need to multiply this sum by 2
((17/4)x+1)*2=(17/2)*x+2
*Note I left the result as a fraction not a mixed number because this is how you are suppose to write it in higher math but if your teacher wants you to convert it into a mixed number, then go ahead!
Hope this helped!!
Answer:
P = (8.5x + 2)Step-by-step explanation:
Given
l = (5/4x + 3) and w = (3x - 2)Find the perimeter
P = 2(l + w)P = 2(5/4x + 3 + 3x - 2) = 2(17/4x + 1) = 17/2x + 2 = 8.5x + 210 points possible. answer everything completely and I will mark brainliest
Answer: A is a function. B is not a function. C is a function. D is not a function. E is not a function. F is not a function. G is a function. H is a function. I is not a function.
Step-by-step explanation:
It is 42 1/2 miles from Eaton to Baxter, and 37 4/5 miles from Baxter to Wellington. How far is it from Eaton to Wellington, if you go by way of Baxter?
[tex]42 \frac{1}{2} + 37 \frac{4}{5} [/tex]
[tex]42 \frac{5}{10} + 37 \frac{8}{10} [/tex]
[tex] \frac{5}{10} + \frac{8}{10} = \frac{13}{10} = 1 \frac{3}{10} [/tex]
[tex]79 + 1 \frac{3}{10} = 80 \frac{3}{10} [/tex]
[tex]80 \frac{3}{10} \: \:miles \: or \: 80.3 \: miles[/tex]
//
Just double check that I did the right calculations
you read 165 pages in 3 hours find the unit rate
Answer:
55 pages per hour
Step-by-step explanation:
You divide 165 by 3 = 55
Three students in a painting class made green paint by mixing blue and yellow paint. The table below shows the comparison of ounces of blue paint to ounces of yellow paint that each student mixed. Whose green paint mixture has a yellow-to-blue unit rate of 6 ounces to 1 ounce?
Answer:
Clara
Step-by-step explanation:
please help i dont know how to solve
Answer:
31°
Step-by-step explanation:
Angle KLN and Angle MLN equal 160° as said in the directions.
So 2y° + (3y + 5)° = 160° –– Combine like terms
5y + 5° = 160° ––Subtract 5 from both sides
5y° = 155° –– Divide both sides by 5 to get y alone
y = 31°
Help will give crown Find the missing side length
Answer:
11cm
Step-by-step explanation:
Jon deposits $2000 into his account and pays at a rate of 4% per year. how much will he be paid in 3 years
the answer is 240
because 4% of 2000 is 80 so you just times 80 by 3 then you get 240
Can any one help me out
Answer: A
Step-by-step explanation:
Answer: (-7,3)
Step-by-step explanation:
A
Great now I need help with another math problem!! Someone pls help me!!
Answer:
option c.............
Answer:
option c............
Step-by-step explanation:
y = 4x
Evaluate the expression
[tex](3-1)^{3} +7(6)-5^{2}[/tex]
Step-by-step explanation:
(3-1)³ = (3³-1³)
= 27-1
=26
7(6) = 42
5² = 25
(3-1)³ + 7(6) - 5² = 26 + 42 -25
= 43
Many insects migrate (travel) between their summer and winter homes. The desert locust migrates about 800 miles farther than the Monarch butterfly every spring, and the pink-spotted hawk moth migrates about 200 miles less than four times the distance of the Monarch butterfly every spring. Laid end to end, the distances traveled by a Monarch butterfly, a desert locust, and a pink-spotted hawk moth is about 12600 miles every spring. How far does each species travel?
Answer:
Distance travelled by Monarch butterfly = 2000 miles
Distance travelled by desert locust = 2800
Distance travelled by pink-spotted hawk moth= 7800 miles
Step-by-step explanation:
Let the distance travelled by Monarch butterfly be "X" miles
Distance travelled by desert locust is equal to X + 800 miles
Distance travelled by pink-spotted hawk moth is equal to 4X -200 miles
The total distance travelled by the three is equal to 12600 miles
[tex]X + X + 800 + 4X -200 = 12600\\6X = 12600 -600\\6X = 12000\\X = 2000[/tex]
Distance travelled by Monarch butterfly = 2000 miles
Distance travelled by desert locust = 2000 + 800 = 2800
Distance travelled by pink-spotted hawk moth = 4 * 2000 -200 = 7800 miles
Simplify (3xy3141x?). Use ^ when identifying your exponents
My solution is:
??
Answer:
3x^2y^3141
Step-by-step explanation:
bob has at least $5000 in savings. his savings balance is more than 3 times greater than his checking balance
Answer:
so then it to be 25000
Step-by-step explanation:
9. Which points are on the graph with the equation -6x + y = 6. Select all that apply.
A. (0,6)
B. (6,2)
C (-1,0)
D. (-2, 3)
Please answer
This would be your answer!