[tex]Which point is closer to the line y=1/2x+4, A(-2,6) or B (4,3)?[/tex]
Answers
9514 1404 393
Answer:
neither; they are the same distance from the line
Step-by-step explanation:
The distance of point (x, y) from line ax+by+c=0 is given by ...
d = |ax +by +c|/(√a² +b²)
Since we're using the same line for both points, we only need to evaluate ...
d = |ax +by +c|
Subtracting y can put the equation in the desired form:
1/2x -y +4 = 0
__
For point A, the expression of interest evaluates to ...
|(1/2)(-2) -(6) +4| = |-1-6+4| = 3
For point B, the expression of interest evaluates to ...
|(1/2)(4) -(3) +4| = |2-3+4| = 3
These values tell us the points are the same distance from the line.
_____
The attached graph shows that circles of the same radius centered on A and B are both tangent to the line. Hence the distances are the same.
![[tex]Which Point Is Closer To The Line Y=1/2x+4, A(-2,6) Or B (4,3)?[/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/Vyc98gcYfxEUHMMbvdeVdJu7eXa3VS7a.png)
Related Questions
The 28 students in Mrs. Colby's class will share 98 slices of
pizza equally
How many slices will each student get?
Answers
Answer:
3 1/2 slices each
Step-by-step explanation:
98/28=3.5
Answer:
Every student will get 3 to 4 slices of pizza
Step-by-step explanation:
This is because you need to divided 98 with he 28 student, which you will get 3.5. That is the correct answer, but the question asked equally, so each student will get 3 to 4 slices of pizza.
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4.) A radio station tower was built in two sections. From a point 87 feet from the base of the tower, the angle of elevation of the top of the first section is 25°, and the angle of elevation of the top of the second section is 400. To the nearest foot, what is the height of the top section of the tower? (LT. 3.7 & 3.8)
(This is Trigonometry)
Answers
tan40°=x/87, x = 63.209.
subtract 63.209-36.0366=27.1724~27 ft.
Grace and her brother Sid want to raise money to go to band camp. Their parents have agreed to help them up to $400 by paying them $25 when one of them mows the lawn and $10 for each hour that one of them babysits their younger brother. They will have to do a combination of both chores in order to earn the money.
Select the equation that represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.
Answers
Step-by-step explanation:
25m + 10b = 400
not enough info to solve for m or b. but that's the equation you would use.
identify the slope and y- intercept of the equation y = -3x
Answers
Answer: The slope is -3 and the y-intercept is (0,0)
Step-by-step explanation: Hope this helps, if it does can I get the brainliest answer
Answer:
Slope: − 3
y-intercept: ( 0 , 0 )
Step-by-step explanation:
The slope-intercept form is y = m x + b.
Find the values of m and b using the form y = m x + b .
m = −3 ; b = 0
The slope of the line is the value of m , and the y-intercept is the value of b .
Slope: − 3
y-intercept: ( 0 , 0 )
good luck, i hope this helps :)
Set up a system of equations for the following situation: The girls basketball team spent a total of $1,590 on new basketballs and sweat suits for the players. If each new basketball cost $30 and each sweat suit cost $90, how many of each did the team purchase? *
Answers
Answer:
there are 13 players in a team
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Answer:
1
Step-by-step explanation:
It's the correct spelling.
The figure shows two lines cut by transversal.wich statement correctly explains why the two lines are parallel
Answers
Answer:
D
Step-by-step explanation:
This is because the angle are corresponding which mean they are on the same side and are the same number
Hope this Helped
The first equation in a system is 5x + 2y = –4. Which equation gives a system with no solution? A. y = 2x + 6 B. y = 1/4x – 2 C. y = 2x + 7 D. y = –5/2x – 3
Answers
Given:
The first equation of the system of equations is
[tex]5x+2y=-4[/tex]
To find:
The equation that gives a system with no solution.
Solution:
We have,
[tex]5x+2y=-4[/tex]
It can be written as
[tex]2y=-5x-4[/tex]
[tex]y=\dfrac{-5x-4}{2}[/tex]
[tex]y=-\dfrac{5}{2}x-2[/tex]
On comparing this equation with slope intercept form [tex]y=mx+b[/tex], we get
[tex]m=-\dfrac{5}{2},b=-2[/tex]
It means the slope of the line is [tex]-\dfrac{5}{2}[/tex] and the y-intercept is -2.
Slope of parallel lines are same but the y-intercepts are different.
From the given options, the slope of the line is [tex]-\dfrac{5}{2}[/tex] only in option D and the y-intercept is -3 which is different from -2.
The line [tex]y=-\dfrac{5}{2}x-3[/tex] is parallel to the given line and parallel lines have no solution. So, the second equation of the system of equations is [tex]y=-\dfrac{5}{2}x-3[/tex].
Therefore, the correct option is D.
the perimeter if a square is 60 feet, then find the length of the diagonal. if necessary, round to the nearest tenth.
a). 21.2
b). 15
c). 450
d). 30
Answers
Answer:
a). 21.2
Step-by-step explanation:
square has 4 sides
one side = 60÷4 = 15
Use pythogoras theorem to find the hypotenuse thus the diagonal of the square.
x = √(15² + 15²)
x = √(225 + 225)
x = √450
x = 21.21 (2 dp)
Portland, OR is 180 miles away from Seattle, WA. If it takes a driver 3 hours to drive from Portland to Seattle, what is the driver's average rate of speed? ill mark brainliest please help this is my final grade
Answers
Answer:
60km/h
Step-by-step explanation:
You finish 3/10 of the project. Your friend finishes 2/3 of the project. What fraction of the project is finished??
Answers
Answer:
29/30 of the project is finished
Answer:
29/30, or 0.966...
Step-by-step explanation:
Part A: find the value for x:
Part B: what is the value of angle A?
Answers
Answer:
part A:
If ABC is a triangle then,
2x+4+2x-9+x=180degree
or, 5x-5=180degree
or, 5x=(180+5)degree
or, 5x= 185degree
or, x=185÷5 = 37degree ans.
PartB
now put the value of x in angle A
i.e angle A = 2x-9
or, angle A= (2×37) - 9
or, angle A= 74 - 9
therefore, angle A= 65degree ans.
What is the slope of the line
Answers
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
When finding the slope, pick two points on the linear line.
( -1.5, -1) (0.5, 0)
-1.5 is x1
-1 is y1
0.5 is x2
0 is y2
Place these numbers in a slop formula.
m = [tex]\frac{0 - (-1)}{0.5 - (-1.5)}[/tex] = [tex]\frac{1}{2}[/tex]
(m means slope)
Slope = [tex]\frac{1}{2}[/tex]
Answer:
1/2
Step-by-step explanation:
Choose the answer that best represents the situation described below. George is climbing a mountain. He knows that the higher the mountain, the more time the climb will take.
A. The time to climb the mountain is a function of climbing speed.
B. The height of the mountain is a function of climbing speed.
C. The time to climb in the function of its height.
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Find the value of x.
2x
fi
80
27
60
x = [?]
Enter
Answers
the answer is x=18
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Answers
Answer:
4
Step-by-step explanation:
Help Please is the answer zero? I’m not good with algebra
Answers
Answer:
should be 0 because it isnt increasing or decreasing
Use the slope formula to find the slope between the given two points.
(-4, -1) and (-2, -5)
Answers
Answer:
y2 -y1 over x2 - x1
Step-by-step explanation: plz mark brainliest
Write as an addition problem: -49 - (-3)
Answers
Answer:
-49 + 3
Step-by-step explanation:
I think this ans may help you
SOMEONE PLEASE HELP!!!!!
Answers
Answer:
the answer is A and B
Step-by-step explanation:
hope it helps
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Answers
y=x+5
Step-by-step explanation:
The opposite of y is x axis
Plss help (IF ITS BOTH OR NEITHER PLS TELL ME) Zoom in to see full pic!!
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Hope this helps.
to find the missing length for the equation you would use b.
Helpppp?? I need help on this cause I just don’t wanna solve it
Answers
Answer:
3 and 3/5
Step-by-step explanation:
if the ratio of the length to perimeter is 5:16 what is the area of the rectangle
Answers
Multiply the length by 2
5(2)
Subtract the length from the perimeter
16-10
Divide the remainder by 2 to find the width
6/2
The width is 3
Length times width equals area
3(5)=15
STEW Merlin made 7
−
8
gallon of stew. Then he
ate 3
−
4
gallon of stew. How much stew was left over?
Answers
7-3=4
But if he made 8 gallons of stew and ate 3 then their are 5 gallons left.
8-3=5
If it's 12am for me and it's 8am for my friend how many hours apart are we? And if it was 10pm for me what time would it be for him??
Answers
Answer:
You are 8 hours apart and it would be 6am for them
Step-by-step explanation:
You guys are 8 hours apart because thats the hour difference, so you add 8 to 10pm getting 6am
Answer:
You are 8 hours apart
Step-by-step explanation:
If it was 10pm for you it would be 6 am for him
Which set of ordered pairs does not represent a function?
O {(0,6), (5,-4), (3, -4), (8,-6)}
O {(6,-1), (-6, -1),(-2,-8),(-4,9)}
O {(-3, -3), (4,1),(-3,3), (2, 2)}
O {(1,-4), (5, -7), (-3,-6), (-2,-4)}
Answers
My yard is 2730 square feet. It’s base is 65 feet. What is the height.
Answers
Answer: Your height is 42
Step-by-step explanation: 2730 divided by 65 would by 42
Answer:
area of rectangle is product of base×height.or length×breadth
area of rectangle= base ×height
2730 feet²=65×height
2730/65=height
42feet=height.
Jimmy's school is selling tickets to the annual dance
competition. On the first day of ticket sales
the school sold 6 adult tickets and 4 child tickets for a
total of $88. The school took in $186 on
the second day by selling 12 adult tickets and 9 child
tickets. Find the price of an adult ticket and
the price of a child ticket.
Answers
1. 6a+4c=88
12a+9c=186
2. so you need to multiply the top number by -2 so you can cancel out the 12a
-2(6a+4c=88)=. -12a-8c=-176
3. then you add them all together
12a+9c=186
-12a-8c=-176
——————————-
c=10
4. now you have to find ‘a’
6a+4(10)=88
6a+40=88
-40. -40
6a=48
divide both sides by 6
a=8
And your final answer should be (8,10)
hoped this helped:)
Mr.Jessup, an airplane pilot, flies 1,450 miles a day. How many miles will he fly in 8 days? Why?
Answers
Answer: Mr. Jessup will fly 11,600 miles in 8 days. This is because if he flies 1,450 miles a day, and he flies in 8 days, just multiply 1,450 and 8.
Step-by-step explanation: