Find the distance between each pair of points. You may want to plot the points. (2 pts each) (2, 3), (7, 3) (-2, 5), (-2, -3) (-8, 5), (-2, 5) (-9, 1), (6, 1)
Answer:
(1) First pair; (2, 3), (7, 3), d₁ = 5
(2) Second pair; (-2, 5), (-2, -3), d₂ = 8
(3) Third pair; (-8, 5), (-2, 5), d₃ = 6
(4) Fourth pair; (-9, 1), (6, 1), d₄ = 15
Step-by-step explanation:
Given pair of points;
(1) (2, 3), (7, 3)
(2) (-2, 5), (-2, -3)
(3) (-8, 5), (-2, 5)
(4) ) (-9, 1), (6, 1)
The distance between each pair of points is calculated as follows;
[tex]d = \sqrt{(y_2-y_1)^2 + (x_2-x_1)^2}[/tex]
(1) first pair; (2, 3), (7, 3)
[tex]d_1 = \sqrt{(3-3)^2 + (7-2)^2} \\\\d_1 = 5[/tex]
(2) second pair; (-2, 5), (-2, -3)
[tex]d_2 = \sqrt{(-3-5)^2 + (-2-(-2))^2}\\\\d_2 = \sqrt{(-3-5)^2 + (-2+2)^2} \\\\d_2 = 8[/tex]
(3) Third pair; (-8, 5), (-2, 5)
[tex]d_3 = \sqrt{(5-5)^2 + (-2-(-8))^2}\\\\d_3 = \sqrt{(5-5)^2 + (-2+8)^2} \\\\d_3 = 6[/tex]
(4) Fourth pair; (-9, 1), (6, 1)
[tex]d_4 = \sqrt{(1-1)^2 + (6-(-9))^2}\\\\d_4 = \sqrt{(1-1)^2 + (6+9)^2} \\\\d_4 = 15[/tex]
Find the magnitude and direction of the vector WZ: W(15, 25) and Z(10,-6).
Answer:
..
Step-by-step explanation:.
To the nearest millimeter, a cell phone is 105 mm long and 69 mm wide What is the ratio of the width to the length?
Answer:
69
Step-by-step explanation:
A small plane is flying northeast at a speed of 200 mph. A wind blows due west at 28 mph. Find the resultant speed and direction of the plane.
Answer:
The resultant speed = 181.3 mph
The final direction = 38.7° northeast.
Step-by-step explanation:
We need to find the component in the x-direction and in the y-direction of the speed:
For the plane:
[tex] v_{p_{x}} = 200cos(45) = 141.42 [/tex]
[tex] v_{p_{y}} = 200sin(45) = 141.42 [/tex]
For the wind we have:
[tex] v_{w_{x}} = -28 [/tex]
[tex] v_{w_{y}} = 0 [/tex]
Now, the total speed in the x-direction and in the y-direction is:
[tex] V_{x} = v_{p_{x}} + v_{w_{x}} = 141.42 - 28 = 113.42 [/tex]
[tex] V_{y} = v_{p_{y}} + v_{w_{y}} = 141.42 [/tex]
Hence, the resultant speed is:
[tex] V = \sqrt{V_{x}^{2} + V_{y}^{2}} = \sqrt{(113.42)^{2} + (141.42)^{2}} = 181.3 mph [/tex]
Finally, the direction of the plane is:
[tex] tan(\theta) = \frac{V_{y}}{V_{x}} = \frac{141.42}{113.42} = 1.25 [/tex]
[tex] \theta = 51.3 ^{\circ} [/tex]
[tex] \theta = 90 - 51.3 = 38.7 ^{\circ} [/tex]
The plane is moving at 38.7° northeast.
I hope it helps you!
Identify the population and the sample in the situation below:
The coach wants to know which uniform the soccer team wants to wear, but he only asks the starting eleven players.
Question 1 options:
Population: soccer team, Sample: starting eleven player
Population: the starting eleven, Sample: soccer team
Population: the coach, Sample: soccer team
Population: soccer team, Sample: uniforms
Answer:
your answer is, A Population: soccer team, Sample: starting eleven player.
Step-by-step explanation:
I just took the test.
The population and the sample in the situation below is a Soccer team and starting eleven players respectively.
What is sample space?The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive.
Given, The coach wants to know which uniform the soccer team wants to wear, but he only asks the starting eleven players.
Since A population is an entire group that you want to draw conclusions about. A sample is a specific group that you will collect data from. The size of the sample is always less than the total size of the population.
and The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment.
Thus in our case,
Population: soccer team
Sample: starting eleven players
Learn more about sample space here:
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HELP PLEASE DUE IN 3 MINUTES
Answer:
C.37
Step-by-step explanation:
Each students in grade four was given 20 raffle tickets to sell to raise funds for their school. The price of each ticket is $1.50. If Olivia sold all her tickets how much money did she raise for her school? If there are 30 students in grade four and they sold all of their tickets how much money was raised altogether?
Please help, I WILL MARK YOU BRAINLIEST IF U GET IT RIGHT AND GIVE A THANKS IVE BEEN STUCK ON THIS FOR A WHILE PLEASE :(
Answer:
y=-1/6x
Step-by-step explanation:
To find the answer you can just look at 2 points on the graph and whichever one comes first is (y1,x1) and the next pair is (y2,x2). So to find it we can use (0,0) automatically because the line is crossing through it. We can also use (600,-100) as the second point becasue it is the next farthest away and when we plug the numbers into the slope equation(y2-y1/x2-x1) we get -100-0/600-0 which when simplified is -100/600 or -1/6 so that would be the m in slope-intercept form (y=mx+b) and when you get everything you can find the equation y=-1/6x
Hope this helped!
i need help with this plss
Answer:
6m - 15 = 9m+9
Step-by-step explanation:
Looking at option b;
6m - 15 = 9m+9
Collect the like terms
6m-9m= 9 + 15
-3m = 24
Divide both sides by -3
-3m/-3 = 24/-3
m = -8
Hence the equation that has -8 as solution is 6m - 15 = 9m+9
Alana transformed Figure 1 to Figure 2 as shown below. Which statement accurately describes Alana's transformation?
A
Figure 2 is the image of Figure 1 after a rotation, a reflection, and a translation.
B
Figure 1 and Figure 2 are similar.
C
Figure 2 is congruent to Figure 1.
D
Figure 2 is congruent to a dilation of Figure 1 with a scale factor of 3.
Answer:
Figure 1 and Figure 2 are similar
Step-by-step explanation:
Answer: A
Step-by-step explanation: Figure 2 is the image of Figure 1 after a rotation, a reflection, and a translation.
Jabari wants to save $66. He earns
$9 every week, walking his
neighbor's dog for 2 hours. He
saves all of his money. How many
weeks will it take him to save $66?
Answer:
n = 7 1/3 weeks
Step-by-step explanation:
Amount Jabari wants to save = $66
Amount he earns per week = $9
Hours worked per week = 2 hours
How many weeks will it take him to save $66?
Let
n = number of weeks will it take him to save $66
66 = 9n
n = 66/9
n = 7 3/9
n = 7 1/3 weeks
Or
n = 7.33 weeks
(a+6)(a-?)=a^2+?a-12
HELP ASAP
(^2 means squared)
Answer:
(a+6)(a-2)=a^2-4a-12
Step-by-step explanation:
MathWiz wya? I need some help with this...show your work <3
Answer:
1) -15+8i
2) x^2+2x-5
Step-by-step explanation:
1) apply perfect square formula
(4i)^2+2*4i1+1^2
then simplify
2)remove parentheses
x+1+(x-2)(x+3)
expand (x-2)(x+3)
x+1+x^2+x-6
simplify x+1+x^2-6 = x^2+2x-5
Find the perimeter of the
polygon if ZB = ZD.
5 cm
B
6 cm
D
7 cm
Answer:
6cm
Step-by-step explanation: hey u yea u ur kinda sus ngl
Answer: 48
Step-by-step explanation:
yes
25 points I need help will mark brainliest
Answer:
w=840/24Step-by-step explanation:
pls mark me as brainlist
Answer:
you can mark them brainliest, now c:
Step-by-step explanation:
A space shuttle took off and reached an altitude of 8,700 miles in 30 minutes. How many miles per minute, on average, did the space shuttle climb? Show your work.
Given: p || q, and r || s.
Answer:
I did the figure
mark brainliest if comfortable :)
kayla picks 8 pounds of apples. What is the weight of kayla's apples in ounces?
Answer:
128
Step-by-step explanation:
CAN SOMEONE HELP ME WITH THIS?
Answer:
The answer is 938. ;}
Step-by-step explanation:
Answer:
The answer is 938
Step-by-step explanation:
i hope it Helped!! <3
I NEED HELP LOOK AT PICTURE PLS!! THX A MILLION !
Answer:
I think it is 5 lb and 1 oz
5. How many times smaller is the
value of 0.486 compared to 48.6?
Answer:
100 times smaller
Step-by-step explanation
48.6 / 0.486 = 100
Can someone please help me?
Answer:
add x
Step-by-step explanation:
1)sx*tx
2)sx+tx
3)s-t
Find the percentage of change, your baby sisyer grows from 29 inches to 49. Round to the nearest tenth
Yesterday, Tran charged 70$ to babysit for 5 hours. If Tram charges a constant fee per hour when she babysits, which statements are correct
A. Tram charges $140 when she babysits 10 hours.
B. Tram charges $1.25 when she babysits for 9 hours.
C. Tram charges $56 when she babysits for 8 hours
D. Tram charges 20$ when she babysits for 4 hours.
E. Tram charges $14 per hour that she babysits.
D. Tram charges 7$ per hour that she babysits.
Answer:
A & E
Step-by-step explanation:
divide 70 by 5.
you get 14. meaning she charges $14 per hour
14 x 10 gives you 140.
An escalator in a department store carries people a vertical distance of 14 feet between floors. How
long is the escalator if it makes an angle of 30° with the ground?
Feet : ____
In ⊙E, what is AC?
in need of answers
Answer:
d
Step-by-step explanation:
i looked up the answers
The length of AC is 6.4 unit.
The correct option is C.
We have the figure from which we can say that
BD is the diameter which is
= 4.8 + 1.6
= 6.4 unit long.
Now, AC is the chord.
As, the distance between the two opposite point the the surface of circle would be same.
Then, the length of AC = length of BD
Thus, the length of AC is 6.4 unit.
Learn more about Circle here:
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3/8 + 2/5 in simplest form
Answer:
31/40 Hope this helps!
Step-by-step explanation:
Answer:
The answer for this question is 31/40
HELP WILL GIVE BRAINLIST
Answer:
Simplify {4}^{2}42 to 1616.
-16+2\times -4\times -5-2\times {2}^{3}−16+2×−4×−5−2×23
Simplify 2\times -42×−4 to -8−8.
-16-8\times -5-2\times {2}^{3}−16−8×−5−2×23
Simplify 8\times -58×−5 to -40−40.
-16-(-40)-2\times {2}^{3}−16−(−40)−2×23
Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}xaxb=xa+b.
-16-(-40)-{2}^{4}−16−(−40)−24
Simplify {2}^{4}24 to 1616.
-16-(-40)-16−16−(−40)−16
Remove parentheses.
-16+40-16−16+40−16
Simplify -16+40−16+40 to 2424.
24-1624−16
Simplify.
8
Step-by-step explanation:
hope it helps :)
A store pork sold at 7.26 for 2 pounds and chicken sold at 6.65 for 5 pounds , which has a higher unit price
Answer:
the pork has a greater unit rate of $3.63
Step-by-step explanation:
You divide each number so that you denominator is one because it is a unit rate.
alexa's friends got her a skydiving lesson for her birthday.
Answer:
ok and what's the question? (*゜ー゜*)
Step-by-step explanation: