5. A robot that picks up tennis balls is on a straight path from (8,6) toward a ball at (-10,-5). The robot picks up a ball at (-10,-5) and then turns 90° right. What are the coordinates of appoint that the robot can move toward to pick up the last ball?
Answers
Answer:
Step-by-step explanation:
so this question is about perpendicular lines. keep in mind that a perpendicular line has a reciprocal slope of opposite sign, from the line it's perpendicular to . :) okay so what is that line the robot is on, let's first
find the slope , m
m = (y2 - y1) / ( x2 - x1)
P1 = (8,6) in the form ( x1,y1)
P2= (-10,-5) in the form (x2,y2)
then
m = (-5-6) / (-10-8)
m = -11 / -18
m = 11/ 18
and then lets use the point-slope formula with the slope we just found and one of the given points, let's pick P1
y-6 = 11/18(x-8)
y = 11/18x - 88/18 + 6
y = 11/18x -88/18 + 108/18
y = 11/18x + 20/18
now let's take the reciprocal of the slope and change the sign, then we have
y = - 18/11x +20/18 ( coordinates robot can move on )
on the graph I'm attaching the green line is the one where the robot first moves, then the purple one.. is the one it turns 90 ° on to .
Related Questions
heyy!! i need help!!
Answers
Answer:
X - 3 = 5
Step-by-step explanation:
X decreased by 3 means X-3.
If X - 3 is 5, then it can be written as X - 3 = 5
Answer: 8
Step-by-step explanation: 8 decreased (subtracted) by 3 is 5.
WILL GIVE BRAINLIEST!
Write the expression as a difference of squares.
25x2 − 4
Factor the difference of squares.
25x2 − 4
Answers
Answer:
(5x-2)(5x+2)
Step-by-step explanation:
Differences of squares is basically (a2-b2) = (a-b) (a+b)
a = 5x and b = 2 in this case
Brainliest is appreciated :)
Write an equation for the data in the table. Identify your variables.
Answers
First find the slope m. slope formula: [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
Let's use (0, -20) for x1 and y1; and (2, 10) for x2 and y2
[tex]\frac{10-(-20)}{2-0}[/tex] = [tex]\frac{30}{2}[/tex] = [tex]15[/tex]
Now find the y-intercept: the point where the graph crosses the y-axis. The y intercept always has an x value of 0. So -20 is the y-intercept
Use the slope formula [tex]y = mx + b[/tex]. Slope=m, y-intercept = b
y = 15x - 20
y is the money in the bank account in dollars
x is the day
The radius of a circle is 4 centimeters. What is the area of a sector bounded by a 135 degrees arc
Answers
Answer
3π is the answer here is the steps I couldn't write it I'm busy so I just wanted to help I hope it helps
Alex and Bill share a 24-ounce box of cereal. By the end of the week, Alex has eaten 3 8 of the box, and Bill has eaten 1 4 of the box of cereal. How many ounces are left in the box?
Answers
Answer:
9 ounces.
Step-by-step explanation:
Answer:
12 ounces on the box
Step-by-step explanation:
l have tried
What Expression goes with the Phrase: "The Product of 4 and the
difference of 10 and b."
A. 4(b-10)
b. 4x10 -b
C. 4b- 10
d. 4(10-b)
Answers
Answer:
the correct answer is 4(10 -b)
I need help with only 4,8,10 and 12 I’m marking brainlest!
Answers
Answer:
4. [tex]\frac{1}{6}[/tex]
8. [tex]\frac{1}{2}[/tex]
10. [tex]7\frac{3}{4}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]7\frac{1}{4}[/tex]
I've answered 4, 8 and 10 for you as you haven't provided 12, but I hope this helps!! ^-^
whats the permiter and area of this triangle will mark brainleist?
Answers
Answer:
permiter 68ft
area 204ft²
Step-by-step explanation:
25ft+26ft+17ft=68ft
1/2×17ft×24ft=204ft²
I hope it's help
Rewrite and simplify. 64-3/4
Answers
Answer:
63 1/4
Step-by-step explanation:
A small painting has an area of 400 cm2. The length is 4 more than 2 times the width. Find the dimensions of the painting. Solve by completing the square. Round answers to the nearest tenth of a centimeter.
PLEASE HELP! I WILL MARK AS BRAINLIEST!
Answers
400 = 8x * x
400 = 8x^2
400 / 8 = x^2
root/50 = x
7.1cm = x
8.96÷26 pls help me
Answers
does anyone know this one
Answers
Answer:
x + 3y = 14
-4 + 3y = 14
+4 +4
3y = 18
y = 6
4% of what number is 44?
Answers
Answer: its 1,100
Step-by-step explanation:
In the accompanying diagram of rectangle ABCD, diagonal AC is drawn, DE = 8, DE 1 AC, and m2 DAC = 55. Find the area of rectangle ABCD to the nearest integer.
Answers
Answer:
sin (55) = DE / AD
AD = DE / sin (55)
AD = 8 / sin (55)
And
tan (55) = DC / AD
tan (55) = DC / [8 / sin (55) ]
DC = 8 tan (55) / sin (55)
AD * DC =
[8 /sin (55) ] [ 8 tan (55) / sin (55) ] = 136 units^2
Step-by-step explanation:
f
hii please help i’ll give brainliest!!
Answers
Answer:
the answer is d :)
Step-by-step explanation:
Answer:
3 one thats the answer its going up and down
Lexy and Lonnel applied to the same university. They looked up the average SAT score of students admitted to that university. Lexy’s SAT score was 30 points above the average score. Lonnel’s SAT score was 270 points below the average score. Which expression represents the difference in their scores?
❘-270 - 30❘
❘30 - 270❘
-❘30 - ❘270❘
-❘30❘ + ❘-270❘
Answers
9514 1404 393
Answer:
(a) ❘-270 - 30❘
Step-by-step explanation:
One score is -270 and the other is +30. The difference is either of ...
|30 -(-270)|
or
|-270 -30| . . . . . . matches choice A
What method could be used to prove the triangle congruent?
Answers
[tex]\huge{\underline{\underline{\boxed{\sf{\red{Answer࿐}}}}}}[/tex]
B) SASWhat Is the difference in kilowatt hours of monthly energy production between an average local wind speed of 15 miles
Answers
Answer:
The answer is "5"
Step-by-step explanation:
Please find the complete question in the attached file.
Given values:
[tex]15 \ miles /hour\\\\10\ miles /hour[/tex]
When we calculating the difference so, it is "5" because 15 -10=5
One plane take of at 8:09P.M. And lands at 10:53PM. Another plane takes off at 9:14P.M. And lands at 12:31P.M. For how long were both planes in the air at the same time.
Answers
Answer:
1 hour 39 Minutes
Step-by-step explanation:
At 8:09 P.M
Only the first plane was in the air
At 9:14 P.M
Both Planes were in the air
At 10:53 PM
First plane lands
For how long were both planes in the air at the same time.
Both planes were in the air between the 9:14 P.M and 10:53 PM
Duration = 1 hour 39 Minutes
Pls Help asap thx alot
Answers
Answer: 52.5cm²
Step-by-step explanation:
Firs, you have to split this composite shape into two separate shapes; a rectangle and triangle.
To work out the area of the rectangle you would have to do 8x5=40.
To work out the area you would have to find out the height of it first. So, to do this you would have to do 1+2=3 then do 8-3=5. Now we know the height is 5.
Then you have to use the formula base times height divided by 2 (b×h/2). So 5×5=25 then 25÷2=12.5
To then find the total area of this composite shape you would have to add the two areas together. So 40+12.5=52.5cm²
Hope this helps :)
1. Write a story problem that includes both integers −8 and 12.
Answers
Answer: Pam has -8 dollars in her piggy bank she owns mark 12 dollars
Step-by-step explanation:
Exact Value Please.
Answers
Answer:
30
Step-by-step explanation:
Scientific calculator will help answering this
TTriangle H L I is shown. Line segment J K is drawn near point L to create triangle J L K. If △HLI ~ △JLK by the SSS similarity theorem, then StartFraction H L Over J L EndFraction = StartFraction I L Over K L EndFraction is also equal to which ratio? StartFraction H I Over J K EndFraction StartFraction H J Over J L EndFraction StartFraction I K Over K L EndFraction StartFraction J K Over H I EndFraction
Answers
Question:
[tex]\triangle[/tex]HLI is shown. Line segment JK is drawn near point L to create [tex]\triangle[/tex]JLK. If [tex]\triangle[/tex]HLI ~ [tex]\triangle[/tex]JLK by the SSS similarity theorem, then [tex]\frac{HL}{JL} =\frac{IL}{KL}[/tex] is also equal to which ratio?
[tex]\frac{H I}{J K}[/tex] [tex]\frac{H J}{J L}[/tex] [tex]\frac{I K}{K L}[/tex] [tex]\frac{J K}{H I}[/tex]
Answer:
[tex]\frac{H I}{J K}[/tex]
Step-by-step explanation:
Given
HLI ~ [tex]\triangle[/tex]JLK
[tex]\frac{HL}{JL} =\frac{IL}{KL}[/tex]
Required
Which other ratio equals [tex]\frac{HL}{JL} =\frac{IL}{KL}[/tex]
[tex]\triangle[/tex]HLI ~ [tex]\triangle[/tex]JLK implies that:
HL, IL and HI corresponds to JL, KL and JK respectively.
So, the possible ratios are:
HL : IL : HI = JL : KL : JK
Convert to fractions
[tex]\frac{HL}{JL} = \frac{IL}{KL} = \frac{HI}{JK}[/tex]
So, from the list of options
[tex]\frac{H I}{J K}[/tex] is equivalent to [tex]\frac{HL}{JL} =\frac{IL}{KL}[/tex]
Answer:
its A
Step-by-step explanation:
DUE TODAY HELP
It is not possible to plagiarize in math when the questions are multiple choice since
you don't have to write out your work.
True
False
Answers
Help really important
Answers
Answer: Its c
Step-by-step explanation:
Plz give brainliest
2x + 6
96
solve for x using an algebraic equation
Answers
Answer:
v
Step-by-step explanation:
A milky way candy bar has a height of 2.4 cm, a width of 3 cm, and is 6 cm long.
What is the volume of the candy bar?
Answers
Answer:
V=lbh=2.4×3×6=43.2cm^3
We are given a candy batband we are given its dimensions
height = 2.4cmwidth= 3cmlength= 6cmTO FINDWe need to find it's volume
Volume of a cuboid is given by l×b×h
SOLUTIONVolume = length × breadth × height
Volume = 2.4 × 3 ×6
Volume = 43.2 cm^3Two buses depart from the Hillsboro Bus Terminal. One is moving north at 35 miles per hour, while the other is moving south at 48 miles per hour. How long will it be before the buses are 48 miles apart
Answers
Answer:
3.6 hours.
Step-by-step explanation:
Given that Two buses depart from the Hillsboro Bus Terminal. One is moving north at 35 miles per hour, while the other is moving south at 48 miles per hour. How long will it be before the buses are 48 miles apart
Since they are moving in opposite directions to each other, let us first calculate the relative velocity.
Relative speed = 48 - 35 = 13 mph
Using the formula
Speed = distance/time
Substitute all the parameters into the formula
13 = 48 / time
Make time the subject of the formula
Time = 48 /13
3.69 hours.
Therefore, before the buses are 48 miles apart, the time taken will be 3.6hours.
what is the coefficient of -16y + 24
Answers
Answer: -16
Step-by-step explanation:
I need help with my math homework
Answers
Explanation:
