3 On a coordinate grid, the location of a lighthouse is at L, and the location of a buoy is at B. At noon, a ship is at the midpoint of the segment connecting the buoy and the lighthouse on the grid. Find the coordinates that best represent the ship's position at noon?
Answers
Answer:
[tex] (\frac{1}{2}, 2) [/tex]
Step-by-step explanation:
Using the midpoint formula, [tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex], we can find the coordinates that represents the position of the ship at noon.
Let [tex] L(-4, 7) = (x_1, y_1) [/tex] (given on the coordinate plane)
[tex] B(5, -3) = (x_2, y_2) [/tex] (given also)
Plug in the values into the formula and solve as follows:
[tex] M(\frac{-4 + 5}{2}, \frac{7 +(-3)}{2}) [/tex]
[tex] M(\frac{1}{2}, \frac{7 - 3}{2}) [/tex]
[tex] M(\frac{1}{2}, \frac{4}{2}) [/tex]
[tex] M(\frac{1}{2}, 2) [/tex]
Position of the ship at noon is best represented at [tex] (\frac{1}{2}, 2) [/tex]
Related Questions
Find the ratio of 3 Km 300 m
Answers
Answer:
3km : 300m
3000 : 300
10 : 1
solve the equation −12=y−11
Answers
Step-by-step explanation:
this is your answer..........
4. Find the width of a rectangle if the perimeter is
14.00 inches and the length is 3.6 inches.
Answers
Answer:
The width of the rectangle is 3.4 inches
Step-by-step explanation:
3.6 inches = length LxW=Area
W= width
Perimeter= 2x(Length)+2x(Width) 2x3.6=7.2
7.2+2(W)=14.00 subtract 7.2 on both sides 14.00-7.2=6.8
2(Width)=6.8 divide both sides by 2 6.8/2=3.4
So width of rectangle is 3.4
question 7 pls help i need help pls
Answers
Answer:
112
Step-by-step explanation:
m<pmo + m<qmn = m<pmn 90+22=112
Answer:
112
Step-by-step explanation:
add 90 and 22
A man drove his car a distance of 315 miles in 5 hours. If continuing at this rate is possible, he will travel miles in 9 hours. (5 points) Blank 1:
Answers
Answer:
567 miles
Step-by-step explanation:
Total distance travelled till now = 315 miles
Total time taken to cover the above distance = 5 hours.
Distance covered in each hour = [tex]\frac{315}{5} = 63[/tex]
Thus, it means in each hour it covers the distance of 63 miles.
Assuming the same speed can be continued and maintained, the total distance that can be covered in 9 hours shall be:
63 miles in each hour [tex]\times[/tex] 9 hours = 567 miles.
Answer:
567 miles
Step-by-step explanation:
That passes through (-4,0) and is parallel to y= -2x+1
Answers
Answer:
y = -2x - 8
Step-by-step explanation:
Parallel lines always have the same slope. Here, it is -2.
So, our equation so far looks like this:
y = -2x + b, where b is the y-intercept
We need to find b. We know our line passes through (-4, 0), so let's plug -4 in for x and 0 in for y:
y = -2x + b
0 = -2 * (-4) + b
0 = 8 + b
b = -8
Since b = -8, our equation is thus y = -2x - 8.
~ an aesthetics lover
-8 and 8 are ___; they are both 8 away from zero.
Answers
Two numbers that are the same distance from zero are called opposites.
-8 and 8 are Opposites.
Two angles are supplementary if the sum of their measures is 180.
Answers
two angles would be complementary if the sum of their angle measures is 90 degrees.
60 degrees and 30 degrees make a complementary angle while 90 and 90 degrees make a supplementary angle.
NEED HELP WITH THIS!
Answers
Answer: See below
Step-by-step explanation:
a.
To solve for h, we want to use algebraic properties to isolate h.
[tex]A=\frac{1}{2}h(b_1 +b_2)[/tex] [multiply both sides by 2]
[tex]2A=h(b_1 +b_2)[/tex] [divide both sides by b₁+b₂]
[tex]\frac{2A}{b_1+b_2} =h[/tex]
[tex]h=\frac{2A}{b_1+b_2}[/tex]
---------------------------------------------------------------------------------------------
b.
To solve for b₂, we first multiply both sides by 2. Then, we divide both sides by h. This leaves us with [tex]\frac{2A}{h} =b_1+b_2[/tex]. To get b₂, you subtract both sides by b₁.
Answer:
h=2A/(b1+b2)
and
b2=2A/h-b1.
Write an equivalent expression by distributing the "-−" sign outside the parentheses: -(7n+0.9)
Answers
Answer:
-7n - .9
Step-by-step explanation:
By distributing the - to the parentheses, you must add a - sign to each number in the parentheses. This makes the positives turn negative.
-7n-0.9=0
-7n=0.9
-n=7.78
n=7.78
can somebody help me please
Answers
Answer:
D. X = 7
Step-by-step explanation:
See image for explanation
Hey! This is my first question. 35 points, it's not complicated. I'm trying to get my grade up and need to have this explained.
Answers
Answer: You should try copying and pasting the question onto google. Someone may have answered the question or something similar on another website.
What is the domain?
(0,1), (-1, -1), (2, 4), (1, -1)
Answers
Hey there! I'm happy to help!
The domain is all of the x-values of a function.
So, we take all of the x-values from our points.
0,-1,2,1
To express the domain, you order the numbers from least to greatest and put it in brackets, so the domain is {-1,0,1,2}.
Have a wonderful day! :D
Answer:{-1,0,1,2}
Step-by-step explanation:
The relationship between money earned and hours worked is linear joke and puetz the slope between 430 and 1290 that computes the slope between 4:30 and 10 75 how do the two slopes compare
Answers
Answer:
操你bit子Step-by-step explanation:
嗨，你好吗
distance between each pair of points
(0.4). (8. -2)
Answers
Answer:
10
Step-by-step explanation:
Sqrt((-8)^2+((-2)-4)^2)
For the function g(x) = x – 2x^2, find g (–3) + 13
Answers
Answer:
g( - 3) + 13 = - 2Step-by-step explanation:
g(x) = x - 2x²
To find g( - 3) + 13 substitute the value of x that's - 3 into g(x) and add 13 to it
We have
g( - 3) + 13 = - 3 - 2(-3)² + 13
= -- 3 - 2(9) + 13
= 3 - 18 + 13
We have the final answer as
g( - 3) + 13 = - 2Hope this helps you
x-7/4 =-2 I need helpp
Answers
Answer:
x = -1
Step-by-step explanation:
x-7/4=-2
x-7=-8
x=-1
Calculate x if the mean of 30, x, 12, 40, and 10 is equal to x.
Answers
Answer:
23
Step-by-step explanation:
Let the mean also is x
Mean = Sum of all observations / Total no of observations
x = 30 + 12 + 40 + 10 + x / 5
5x = 92 + x
4x = 92
x = 23
Therefore 23 is the mean and also one of the numbers.
The value of x such that mean of 30, x, 12, 40, and 10 is equal to x will be 23.
What is mean?The mean is the average of a data set. Mean gives us an idea of that how much amount of overall data have.
Mean = sum of data / Number of data
It is known that,
Mean = sum of data / Number of data
x = (30 + x + 12 + 40 + 10)/5
5x = x + 92
4x = 92
x = 23
Hence "The value of x such that mean of 30, x, 12, 40, and 10 is equal to x will be 23".
For more about the mean,
https://brainly.com/question/17060266
#SPJ2
Sandra signed up for the gym during the spring special. Her credit card was charged $220.87. Is this the correct amount? Explain.
Answers
Answer:
No the she should have been charged $203.88 the reason is if you times 12 by 16.99 you will get 203.88 not 220.87
The amount in credit card is enough to pay 12 months gym charge.
Given that, the charge for one month is $16.99.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Number of months = 12
Let the total charge for 12 months be x.
Now, x = 16.99×12
= $203.88
Therefore, the amount in credit card is enough to pay 12 months gym charge.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Find X .
Please helpppp!! D:
Answers
Answer:
try 6 .75. I'm not to sure but I tried
Please help!! 2/3x-7=x
Answers
Answer:
-21
Step-by-step explanation:
Answer:
i know its already been answered but yes, it is -21
Step-by-step explanation:
hope it helps, can anyone look at my most recent question? i'll appreciate it
Nick uses 1/4 cup of vinegar for every 1 cup of olive oil when making salad dressing.
Using this recipe, how much vinegar would he need to make salad dressing with 12 cups of olive oil?
Answers
Answer:
3 cups of vinegar
Step-by-step explanation:
∵ Nick uses the amount of vinegar for every 1 cup of olive oil = [tex]\frac{1}{4}[/tex] cup
∴ He will need the amount of vinegar for 12 cups of olive oil = [tex]\frac{1}{4}\times 12[/tex] cups
= 3 cups
Therefore, Nick will need 3 cups of vinegar to make salad dressing.
Please help will name brainliest:
Make y the subject of the formula x=a-2by²
Answers
Answer:
y = ± [tex]\sqrt{\frac{a-x}{2b} }[/tex]
Step-by-step explanation:
Given
x = a - 2by² ( add 2by² to both sides )
x + 2by² = a ( subtract x from both sides )
2by² = a - x ( divide both sides by 2b )
y² = [tex]\frac{a-x}{2b}[/tex] ( take the square root of both sides )
y = ± [tex]\sqrt{\frac{a-x}{2b} }[/tex]
Answer:
[tex]y = a - x \di2b[/tex]
Step-by-step explanation:
[tex]2b {y }^{2} = a - x[/tex]
[tex]2b {y}^{2} \div 2b = a - x \ \div 2b[/tex]
[tex] {y}^{2} = a - x \div 2b[/tex]
[tex]y = \sqrt{a - x \div 2b} [/tex]
plzzzzzzzz help this is math
Answers
m= -25
Answer:
5
Step-by-step explanation:
Simplify the equation:
2m -10 = -3m +15
Add 3m
5m -10 = 15
Add 10
5m = 25
Divide by 5
m = 5
Solve the equation and check.
7x-5= 3 + 3x
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The solution is
(Simplify your answer.)
OB. The solution is all real numbers
OC. There is no solution
Answers
Answer: x = 2
OA. The solution is
(Simplify your answer.)
Step-by-step explanation:
7x - 5 = 3 - 3x
Move the variable to the left-hand side & change its sign. Move constant to the right hand side & change its sign.
7x -3x = 3 + 5
Collect like terms & Add the numbers
4x=8
Divide both sides by 4
4x/4 = 8/4
And you get x=2
Hope this helps ʕ•ᴥ•ʔ
The midpoint of AB is M(1, -1). If the coordinates of A are (7,-4), what are the
coordinates of B?
Answers
Answer:
work is attached and shown
I Need All Three , please show work !
Answers
Answer:
1) d=25 2) d=2[tex]\sqrt{2}[/tex] 3) d=[tex]13\sqrt{2}[/tex]
Step-by-step explanation:
[tex]d=\sqrt{(-2-1)^2+(-2-2)^2}\\ d=\sqrt{(-3)^2+(-4)^2} \\d=\sqrt{(-9)+(-16)}\\d=\sqrt{-25} \\d=5[/tex]
[tex]d=\sqrt{(5-3)^2+(-4-(-6))^2}\\ d=\sqrt{(2)^2+(2)^2} \\d=\sqrt{(4)+(4)}\\d=\sqrt{8} \\d=2\sqrt{2}[/tex]
[tex]d=\sqrt{(8-(-9))^2+(-7-0)^2}\\ d=\sqrt{(17)^2+(-7)^2} \\d=\sqrt{(289)+(49)}\\d=\sqrt{338} \\d=13\sqrt{2}[/tex]
Find the exact value of sin(140°)cos(20°) – cos(140°)sin(20°)
Answers
Given :
An expression sin(140°)cos(20°) – cos(140°)sin(20°) .
To Find :
The value of given expression .
Solution :
We know ,
sin(A - B) = sin A cos B - cos A sin B
By comparing with above formula , we get :
A = 140° and B = 20° .
So , sin(140°)cos(20°) – cos(140°)sin(20°) = sin ( 140°- 20°) = sin 120° .
Now , [tex]sin 120^\circ{} = \dfrac{\sqrt{3}}{2}[/tex]
Therefore , the value of expression is [tex]\dfrac{\sqrt{3}}{2}[/tex] .
Hence , this is the required solution .
Points A, B, and C are collinear. Point B is the midpoint of AC. AB=12x-398. BC=22. Solve for x
Answers
Answer:
x = 35Step-by-step explanation:
If points A, B, and C are collinear and point B is the midpoint of AC then
AB = BC
12x - 398 = 22
+ 398 + 398
12x = 420
÷12 ÷12
x = 35
If rectangle ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180º, where would point A' lie? (1, -1) (1, 1) (-4, -1) (-4, 1)
Answers
Answer:
Point A reamains unchanged.
Step-by-step explanation:
Let
A(1, -1)
B(1, 1)
C(-4, -1)
D (-4, 1)
REFLECTED OVER Y-AXIS:
When we reflected over Y-AXIS we have to change the sign of X-Coordinates of all vertices so, above given vertices becomes
A(-1, -1)
B(-1, 1)
C(4, -1)
D (4, 1)
REFLECTED OVER X-AXIS:
When we reflected over X-AXIS we have to change the sign of Y-Coordinates of all vertices so, above given vertices becomes
A(-1, 1)
B(-1, -1)
C(4, 1)
D (4,-1)
When we rotated over 180 degree than we have to change the signs of both coordinates of all vertices
A(1, -1)
B(1, 1)
C(-4, -1)
D (-4,1)
we can see that after the opertion of all three processes i.e reflected over the y-axis, reflected over the x-axis, and rotated 180ºrespectively vertices are same as original vertices so, Rectangle remain unchanged. and point A is also unchanged