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
Once you are finished with your practice problems respond to the discussion prompt:
Classify each of the following rational numbers as repeating or terminating decimals.
3/5
1/9
7/10
5/12
Answers
Answer:
terminating
repeating
terminating
repeating
Step-by-step explanation:
3/5 = 0.6 ; terminating
1/9 = 0.1111... ; repeating
7/10 = 0.7 ; terminating
5/12 = 0.41666666... ; repeating
the eye colour of 60 people is recorded below. eyecolour blue grey brown hazel total no of people 12 10 25 13 60 draw a pie chart to represent the above data
draw a pie chart
plz answer fast
Answers
Find the missing exponent.
Answers
Answer: what missing exponent?
Step-by-step explanation:
solve for Q
-392 = 28q
Answers
Answer:
14
Step-by-step explanation:
-392=28q
-392÷28=14
Which table of ordered pair represent a proportional relationship?
Answers
Answer:
Your answer is (B.) because 2 times 5 is 10. 4 times 5 is 20. and 6 times 5 is 30, these make proportional relationships.
Step-by-step explanation: hope this help
The ratio of boys to girls in Mr. Jordan's soccer team is the same as the ratio of boys to girls on Ms. Grolin's soccer team. There are 12 boys and 4 girls in Mr. Jordan's team. There are 9 boys on Ms. Grolin's team. How many girls are on Ms. Grolin's team? A. 2 B.3 C.4 D.6
Answers
Answer:
B
Step-by-step explanation:
Ms. Jordan's girls are divided by 3 than the girls. 12 ÷ 3 = 4
Same with Ms. Grolin. 9 ÷ 3 = 3. The answer is B.
Esmeralda draws a scale drawing of a rectangular community garden she helps manage. The scale factor from the drawing to the garden is 20. Based on the measurements of Esmeralda's drawing, what is the perimeter of the community garden?
Answers
Answer:
20
Step-by-step explanation:
The perimeter of the community garden is 130 unit.
What is Scale Factor?A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.
Given:
Scale factor = 20
After Scale factor the Dimension are
l = 2 1/4 x 20 = 9/4 x 20
l = 45
and, w = 1 x 20 = 20
So, Perimeter of rectangular Garden = 2( l +w)
= 2 ( 45+20)
= 2 ( 65)
= 130 unit.
Hence, the Perimeter is 130 unit.
Learn more about Scale here:
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can someone actually help and not tell me to use google. thanks.
Answers
Answer:
i deserved these
Step-by-step explanation:
Sonya buys four pairs of shoes on sale for buy one, get one 50% off. The sales tax is 6.5%. If the original price for each pair of shoes was $35, how much does Sonya pay for the four pairs altogether?
Answers
Answer:
$111.83
Step-by-step explanation:
2 pairs would be original price (35) and 2 would be half off (17.5)
35 + 35 + 17.5 + 17.5= $105
sales tax = 6.5 %
$105 * 6.5 % = 6. 825
$105 + 6.825= 111.825
round up since you cant have 825 cents
$111.83
How much salt is in a mixture containing 10 gallons of an 11% salt solution and 6 gallons of a 7% salt solution?
I think I can solve it but forming the equation is where I have problems.
Answers
Answer:
Step-by-step explanation:
There really isn't an equation because there isn't an unknown. If we create a table, the "equation" that you are talking about will be come apparent. Let's call the 2 solutions Sol 1 and Sol 2:
Gallons of solution * % salt = Gallons of salt
Sol 1
Sol 2
If we fill in this table according to the info we are given, we have 10 gallons of the 11% solution, and 6 gallons of the 7% solution, so
Gallons of solution * % salt = Gallons of salt
Sol 1 10 .11 = 1.1 gallons of salt
Sol 2 6 .07 = .42 gallons of salt
We multiply the Gallons of solution by the % salt to get the gallons of salt. There are 1.1 gallons of salt in solution 1 and .42 gallons of salt in solution 2, so in the mixture (which is 16 gallons) there is 1.1 + .42 gallons of salt, which is 1.52 gallons of salt.
John can was 14of a car in 1 minute. How many cars can he wash in 19 minutes??
Answers
i'm assuming you mean he can wash 14 cars in one minute?
anyway the answer would be 266 but i'm pretty sure that's impossible. sorry if this isn't what you meant; try rephrasing the question :)
mason owns A trucking company. For every truck that goes out, Mason must pay the driver $13 per hour of driving and also has an expense of one dollar per mile driven for gas and maintenance. On one particular day, the driver drove an average of 30 mph and masons total expenses for the driver, gas in truck maintenance were $258. write a system of equations that could be used to determine the number of hours to drive a word and the number of miles the truck drove. Define the variables that you used to write the system.
Answers
Answer:
Step-by-step explanation:
13h+1m=258
30m=h
I need help with this Algebra
Answers
Answer:
Step-by-step explanation:
f(-3) = 3(-3)^3 + 5 = 3(-27) + 5 = -81 + 5 = -76
g(4) = -4(4) - 1 = -16 - 1 = -17
15points+brainliest!! please help :(!
Answers
Answer:
rise 6 units up
Step-by-step explanation:
Answer:
6 units up
Step-by-step explanation:
Take a point
A is at (-6,-2)
A' is at (-6,4)
The shift is in the y coordinate of +6
This is a vertical shift
a.no
b.yes
the question is in the picture
Answers
B. yes, it's a function
PLEASE HELP ALGEBRA 2!!
Answers
Answer:
11) 2nd option
12)2nd option
13)3rd option
f(x) = x^2 x+1
g(x)= 2x-5
find f(x)-g(x)
Answers
Answer:
Step-by-step explanation:
x^2 + x + 1 - 2x + 5
x^2 - x + 6
The answers are only sequence a, only sequence b, both, and neither. Please help its due in a minute!
Answers
Answer:
Sequence A
Step-by-step explanation:
15/2 is (greater than, less than, or equal to) the square root of 55?
Answers
First make 15/2 a mixed number
7 1/2
Or in decimal form its 7.5.
Find the square root of 55
Around 7.4
15/2 is greater
PLEASE HELP QUICKLY!! I WILL MARK BRAINLIEST!!
Find the value of x:
Answers
8x=180
x=22.5
An oak tree casts a shadow 18 feet long. If a 4 foot child casts a 3 foot shadow at the same time of day, how tall is the oak tree?
Answers
Answer:
23.99999 rounded 30
Step-by-step explanation:
4/3 x 18
Please help me answer all the questions
Answers
Answer:
3. -6m-18
4. -6z+1
5. -5x-1
6.-x-4
7. ba-6b
8. 21ab-14ac+28a
9. 4x+1
10. 1/6x-4
Step-by-step explanation:
(5-5)^2 - (6-5)^3 simplify the expression PLEASE HELP
Answers
Answer: 15
Step-by-step explanation:
(5-1)^2 - (6-5)^3
(4)^2 - (1)^3
16-1
=15
What’s the answer 40=16-8r ?
Answers
Answer:
-3
Step-by-step explanation:
40=16-8r
Subtract 16 from both sides.
24=-8r
Now divide by -8
-3=r
Answer:
-3= r
Step-by-step explanation:
40= 16- 8r
subtract 16 from both sides
40-16= 16 - 16 -8r
24= -8r
divide both sides by -8
24/-8 = -8r/-8
-3= r
What’s the domain and range?
Answers
Answer:
the first component of ordered pair is domain and second component is range
Answer:
In its simplest form the domain is all the values that go into a function, and the range is all the values that come out
Add. Simplify, if possible. Help please.
Answers
Answer: A
Step-by-step explanation:
To add fractions, we want to make sure there is a common denominator. After that, we can add the numerator.
[tex]\frac{8}{z^2+6z+9} +\frac{5}{z^2-9}[/tex] [factor denominator]
[tex]\frac{8}{(z+3)(z+3)} +\frac{5}{(z+3)(z-3)}[/tex] [multiply first fractioni by z-3 and second by z+3]
[tex]\frac{8(z-3)}{(z+3)^2(z-3)} +\frac{5(z+3)}{(z+3)^2(z-3)}[/tex] [distribute by FOIL]
[tex]\frac{8z-24}{(z+3)^2(z-3)} +\frac{5z+15}{(z+3)^2(z-3)}[/tex] [add]
[tex]\frac{13x-9}{(z+3)^2(z-3)}[/tex]
This is the same as A. Therefore, A is our answer.
solve the literal equation for x
t=10+7x-qx
Answers
Answer:
Step-by-step explanation:
7x - qx + 10 = t
7x - qx = t - 10
x(7 - q) = t - 10
x = (t - 10)/(7 - q)
Combine like terms in the following equation:
18 – 5W + 7w - 4 = 28
Answers
Answer:
7
Step-by-step explanation:
Step 1:
18 - 5w + 7w - 4 = 28
Step 2:
14 + 2w = 28
Step 3:
2w = 14
Answer:
w = 7
Hope This Helps :)
12 more than quotient of a number k and 5
Answers
Answer:
(k/5)+12 represents the question described
The required equation is 12 + k/5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now the given statement is,
12 more than quotient of a number k and 5
Converting them into numerical form,
quotient of a number k and 5 = k/5
Therefore 12 more than quotient of a number k and 5 is written as,
12 + k/5
this is the required equation for the given statement.
Thus, the required equation is 12 + k/5.
To learn more about equation:
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Suppose the volume of a rectangular shopping cart basket is 12,090 cubic inches. If the length measures 31 inches and the width measures 19.5 inches, how high is the shopping cart basket?
Answers
Answer:
[tex]\boxed {\tt h=20\ inches}[/tex]
Step-by-step explanation:
The volume of a rectangular prism can be found using the following formula.
[tex]v=l*w*h[/tex]
We know that the volume is 12,090 cubic inches, the length is 31 inches, and the width is 19.5 inches.
[tex]v= 12,090 \ in^3\\l=31 \ in \\ w=19.5 \ in[/tex]
[tex]12,090 \ in^3= 31 \ in * 19.5 \ in * h[/tex]
Multiply 31 inches and 19.5 inches.
[tex]12,090 \ in^3= 604.5 \ in^2 * h[/tex]
We are trying to find h, therefore we must isolate it. h is being multiplied by 604.5 square inches. The inverse of multiplication is division. Divide both sides of the equation by 604.5 in²
[tex]\frac{12,090 \ in^3}{604.5 \ in^2}= \frac{604.5 \ in^2 *h}{604.5 \ in^2}[/tex]
[tex]\frac{12,090 \ in^3}{604.5 \ in^2}=h[/tex]
[tex]20 \ in =h[/tex]
The height of the shopping basket is 20 inches.