Marty wants to watch two fireworks shows at the same
time. The best view is from a point that is between and
equidistant from each of them. If the shows are located
at the park and the highschool shown, at which point
would Marty get the best view?
Answers
Answer:
(8 , 5)
Step-by-step explanation:
• Marty would get the best view ,if he stood at the midpoint
of the line that connect the park to the high school .
• On the coordinates plane ,the park is located at (-4 , -11)
and the high school is located at (20 , 21) .
•• Calculating the midpoint (best position) :
Let M(x , y) be the midpoint.
[tex]x=\frac{-4+20}{2} =8[/tex]
[tex]y=\frac{-11+21}{2} =5[/tex]
Answer:
(8, 5)
Step-by-step explanation:
Given points:
High School = (20, 21)Park = (-4, -11)To find the point that is between and equidistant from the High School and the park, use the formula for midpoint between two points.
Midpoint between two points
[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)[/tex]
Define the endpoints:
[tex]\textsf{Let }(x_1,y_1)=(20,21)[/tex]
[tex]\textsf{Let }(x_2,y_2)=(-4,-11)[/tex]
Substitute the endpoints into the formula:
[tex]\implies \textsf{Midpoint} =\left(\dfrac{-4+20}{2},\dfrac{-11+21}{2}\right) = (8,5)\end{aligned}[/tex]
Therefore, the point at which Marty would get the best view is (8, 5).
Learn more about midpoints here:
https://brainly.com/question/27962681
Related Questions
Which number sentence is true? A. –38.44 6.2 = 6.2 B. –38.44 (6.2) = –6.2 C. –38.44 (–6.2) = –6.2 D. 38.44 6.2 = –6.2
Answers
Answer:
Option B:
[tex]-\frac{38.44}{6.2} = -6.2[/tex]
Step-by-step explanation:
Given
Options A to D
Required
Determine which is true
Option A:
[tex]-\frac{38.44}{6.2} = 6.2[/tex]
[tex]-6.2 = 6.2[/tex]
This is not true
Option B:
[tex]-\frac{38.44}{6.2} = -6.2[/tex]
[tex]-6.2 = -6.2[/tex]
This is true
There is no need to check further
Create an expression that is equivalent to 9(3x + 5 + x) without using
parentheses.
Answers
Answer:
27x + 45 + 9x
37x + 45
it's here
E = MV^2 ÷ 2 + mgh, If M=20, h=15, E=4900, g=9.8. Find V
Answers
Answer:
V = 14 m/s
Step-by-step explanation:
[tex]E = MV^2 ÷ 2 + mgh \\ \\ 4900 = 20V^2 ÷ 2 + 20 \times 9.8 \times 15 \\ \\ 4900 = 10V^2 + 2,940\\ \\ 4900 - 2940 = 10V^2 \\ \\ 1960 = 10V^2 \\ \\ V^2 = \frac{1960}{10} \\ \\ V^2 = 196 \\ \\ V = \sqrt{196} \\ \\ V = 14 \: m {s}^{ - 1} [/tex]
A jewelry box has a volume of 14 cubic inches. The area is 7 square inches. What is the height of the jewelry box.
Answers
Answer:
2 inches
Step-by-step explanation:
a=Lw
v=lwh
lw= 7
14/7=2
10.04 × 8.8= ?
can you help me again please
Answers
Answer:
10.04 × 8.8 =?, ? = 88.352 :)
Answer:
88.352
Step-by-step explanation:
10.04
x. 8.8
=88.352
How would the average rate of change over years 1 to 5 and years 6 to 10 be affected if the population increased at a rate of 8%?
Answers
Answer:
(A): As year increases the number of pikas reduces.
(B): As year increases the number of pikas increases as opposed to when the rate reduces.
Step-by-step explanation:
See comment for complete question
Given
[tex]a = 144[/tex] --- Initial Population
[tex]r = 8\%[/tex] --- rate
(A) WHEN THE RATE DECREASES
First, we need to write out the function when the population decreases.
This is given as:
[tex]f(x) = a(1-r)^x[/tex]
Substitute values for a and r
[tex]f(x) = 144(1-8\%)^x[/tex]
Convert % to decimal
[tex]f(x) = 144(1-0.08)^x[/tex]
[tex]f(x) = 144(0.92)^x[/tex]
Next, we calculate the average rate of change for both intervals using:
[tex]Rate = \frac{f(b) - f(a)}{b-a}[/tex]
For 1 to 5:
[tex]Rate = \frac{f(5) - f(1)}{5-1}[/tex]
[tex]Rate = \frac{f(5) - f(1)}{4}[/tex]
Calculate f(5) and f(1)
[tex]f(x) = 144(0.92)^x[/tex]
[tex]f(1) = 144*0.92^1 =144*0.92=132.48[/tex]
[tex]f(5) = 144*0.92^5 =144*0.66=95.04[/tex]
[tex]Rate = \frac{95.04 - 132.48 }{4}[/tex]
[tex]Rate = \frac{-37.44}{4}[/tex]
[tex]Rate = -9.36[/tex]
For 6 to 10:
[tex]Rate = \frac{f(10) - f(6)}{10-6}[/tex]
[tex]Rate = \frac{f(10) - f(6)}{4}[/tex]
Calculate f(6) and f(10)
[tex]f(x) = 144(0.92)^x[/tex]
[tex]f(6) = 144*0.92^6 =144*0.61=87.84[/tex]
[tex]f(10) = 144*0.92^{10} =144*0.43=61.92[/tex]
[tex]Rate = \frac{61.92-87.84}{4}[/tex]
[tex]Rate = \frac{-25.92}{4}[/tex]
[tex]Rate = -6.48[/tex]
So, we have:
[tex]Rate = -9.36[/tex] for year 1 to 5
This means that the number of pikas reduces by 9.36 yearly
[tex]Rate = -6.48[/tex] for year 6 to 10
This means that the number of pikas reduces by 6.48 yearly
So, we can say that, as year increases the number of pikas reduces.
(B) WHEN THE RATE INCREASES
First, we need to write out the function when the population decreases.
This is given as:
[tex]f(x) = a(1-r)^x[/tex]
Substitute values for a and r
[tex]f(x) = 144(1+8\%)^x[/tex]
Convert % to decimal
[tex]f(x) = 144(1+0.08)^x[/tex]
[tex]f(x) = 144(1.08)^x[/tex]
Next, we calculate the average rate of change for both intervals using:
[tex]Rate = \frac{f(b) - f(a)}{b-a}[/tex]
For 1 to 5:
[tex]Rate = \frac{f(5) - f(1)}{5-1}[/tex]
[tex]Rate = \frac{f(5) - f(1)}{4}[/tex]
Calculate f(5) and f(1)
[tex]f(x) = 144(1.08)^x[/tex]
[tex]f(1) = 144(1.08)^1 = 144*1.08= 155.52[/tex]
[tex]f(5) = 144(1.08)^5 = 144*1.47= 211.68[/tex]
[tex]Rate = \frac{211.68 - 155.52}{4}[/tex]
[tex]Rate = \frac{56.16}{4}[/tex]
[tex]Rate = 14.04[/tex]
For 6 to 10:
[tex]Rate = \frac{f(10) - f(6)}{10-6}[/tex]
[tex]Rate = \frac{f(10) - f(6)}{4}[/tex]
Calculate f(6) and f(10)
[tex]f(x) = 144(1.08)^x[/tex]
[tex]f(6) = 144(1.08)^6 = 228.52[/tex]
[tex]f(10) = 144(1.08)^{10} = 310.89[/tex]
[tex]Rate = \frac{310.89-228.52}{4}[/tex]
[tex]Rate = \frac{82.37}{4}[/tex]
[tex]Rate = 20.59[/tex]
So, we have:
[tex]Rate = 14.04[/tex] for year 1 to 5
This means that the number of pikas increases by 14.04 yearly
[tex]Rate = 20.59[/tex] for year 6 to 10
This means that the number of pikas increases by 20.59 yearly
So, we can say that, as year increases the number of pikas increases as opposed to when the rate reduces.
iv) The number 211539 is divisible by
Answers
Answer:
The answer would be the number 3
Dn80 pipe 88millimeters is According to the plan All openings must be 40mm larger than the pipe. You know that
Answers
Answer:
128mm
Step-by-step explanation:
Given
[tex]Pipe = 88mm[/tex]
[tex]Ope\ nnings = 40mm\ larger[/tex]
Required
Determine the length of the openings of the pipe
To do this, we simply add 40mm to the length of the pipe.
This gives:
[tex]Ope\ nings = 88mm + 40mm[/tex]
[tex]Ope\ nings = 128mm[/tex]
Hence, the opening must be 128mm
what is the HCF ofusin prime factorization of 30 and 36
Answers
Answer:
Step-by-step explanation:
Prime factorization
30 = 2 × 3 × 5
36 = 2² × 3²
HCF = 2 × 3 = 6
3 = 2 + n/4(that's supposed to be a fraction)someone help solve solve for n
Answers
Answer:
n = 4
Step-by-step explanation:
3 = 2 + n/4
1 = n/4
4 = n
Answer:
n = 4
Step-by-step explanation:
take the 2 and subtract it from itself then you gotta do it to the other side so it be 3 -2 and you get 1 then you multiply 4 to n/4 and it crosses it out and what you do to one side you do to the other so you multiply 4 by 1 & get 4
HELP MEEEE I NEED AN ANSWER
Answers
The length of a rectangle is three more than twice it’s width. the area of the rectangle is 189 in^2
What is the width
What is the length
Answers
Answer:
Let w be the width of the rectangle. The length would be 2w+3. The area of the rectangle would be w(2w+3)=189.
So 2w2+3w-189=0 Solving for w you get w=9 or -10.5. Ignoring negative value Width of the rectangle would be 9mm and length of the rectangle would be 21mm giving you the area 189 square mm.
Hope this helps:)
Harry Potter has a potion that can change voracious vampires into harmless hobbits. But the chemical evaporates over time and when the concentration in the potion is too weak, it turns the vampires into destructive Demogorgons. Oh no! The half-life of the potion means the amount of time it takes for the potion to lose half of its existing power, measured in magical units. This potion has a half-life of 2 months. Which statement about the potion's strength is correct? * a. Of the original 160 magical units, 5 magical units are left after 10 months of mixing the potion. b. Of the original 160 magical units, 16 magical units are left after 10 months of mixing the potion. c. Of the original 160 magical units, less than 1 magical unit is left after 10 months of mixing the potion. d. Of the original 160 magical units, 20 magical units are left after 10 months of mixing the potion e. Of the original 160 magical units, 80 magical units are left after 10 months of mixing the potion.
Answers
Answer:
im going to say c
Step-by-step explanation:
if its has 160 units and goes to half-life after 2 months im assuming it loses 1/2 of the units so in order for it to lose that many it will have to lose 40 units a month so i say its c after 10 months there will be less than 1 unit in the potion
hope this helps im sorry if im wrong have a blessed day :)
An air conditioning repair company has a flat
service fee and charges an hourly rate. One
customer pays $180 for two hours of work.
Another pays $230 for three hours of work.
Write a linear function for this situation. Use h
For the number of hours.
C(h) =
Answers
Answer:
Step-by-step explanation:
30 POINT !!!! NEED IT ASAP
Answers
area of the rectangle: 25-10=15 so 32 times 15 is the area. area=480
area of trapezoidal areas (2 of them): the area of a trapezoid is equal to base+base/2(h) so to find the lengths of the bases you subtract 32-14=18 then divide by 2 to get 9 for the length of one base. the length of the other is 5. plug into equation to get 5+9=14/2=7(h). the height is 10 so 7 times 10 is 70. multiply by 2 since there are 2 identical trapezoids. area of both=140
add both areas (480+140=620). multiply 620 by 4.90 to get $3038. no there is not enough, it is over by $38.
g(n) = 4n h(n) = n2 + 3n Find g(h(n))
Answers
Answer:
g(h(n)) = 4n² + 12n
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsFunction NotationAlgebra II
Composite FunctionsStep-by-step explanation:
Step 1: Define
g(n) = 4n
h(n) = n² + 3n
g(h(n)) is n = h(n)
Step 2: Find
Substitute in function h(n) as n: g(h(n)) = 4(n²+ 3n)[Distributive Property] Distribute 4: g(h(n)) = 4n² + 12nLinda is making a mosaic stepping stone to place in
her garden. The stone is shown below. How much
mosaic glass tile will Linda need to cover the surface
of five stepping stones? Use 3.14 for pie.
Help please lol
Answers
Answer:
D 565.2 in
Step-by-step explanation:
First you need to find the area of the stepping stone. The rule for area of circle is pi times radius squared. To find the radius you divide 12 by 2 = 6. After you do 6 times 6= 36 you multiply 36 times pi (3.14) = 113.04. After we find the are of the stepping stone we multiply it by five to get how many inches we have to cover. 113.04 times 5= 565.2 in.
Perimeter? =
Area? =
Answers
Answer:
Your answer is
Area = 16.23
perimeter = 24
Mark my answer as brainlist . I need that urgently . Folow me for more answer.
Step-by-step explanation:
jjjjjjjjjjjjjjjjjjjhhhhhhhhhhhhhhhhbvvvvvvvvvvvvvvvvvvvvv
Answers
Answer:
Thanks for the point!
Step-by-step explanation:
Have a great day
Solve the linear equation.
2.25 - 11j - 7.75 + 1.5j = 0.5j - 1
A. j = -0.45
B. j = -0.25
C. j = 0.25
D. j = 0.45
Answers
Answer:
Solve the linear equation [tex]2.25 - 11 - 7.75 + 1.5j= 0.5j - 1[/tex]
✔ [tex]j[/tex] = –0.45
[tex]j[/tex] = –0.25
[tex]j[/tex] = 0.25
[tex]j[/tex] = 0.45
Simplify [tex]2.25 - 11j - 7.75 + 1.5j[/tex] .
Subtract [tex]7.75[/tex] from [tex]2.25[/tex] .
[tex]- 11j - 5.5 + 1.5j = 0.5j -1[/tex]
Add [tex]-11j[/tex] and [tex]1.5j[/tex] .
[tex]- 9.5j - 5.5 = 0.5j - 1[/tex]
Move all terms containing [tex]j[/tex] to the left side of the equation.
Subtract [tex]0.5j[/tex] from both sides of the equation.
[tex]- 9.5j - 5.5 = 0.5j - 1[/tex]
Subtract [tex]0.5j[/tex] from [tex]- 9.5j[/tex].
[tex]- 10j - 5.5 = - 1[/tex]
Move all terms not containing [tex]j[/tex] to the right side of the equation.
Add [tex]5.5[/tex] to both sides of the equation.
[tex]-10j = -1 +5.5[/tex]
Add [tex]-1[/tex] and [tex]5.5[/tex] .
[tex]10j=4.5[/tex]
Divide each term in [tex]-10[/tex][tex]j[/tex] [tex]=4.5[/tex] by [tex]-10[/tex] and simplify.
Divide each term in [tex]-10j = 4.5[/tex] by [tex]-10[/tex].
[tex]\frac{-10j}{-10} = \frac{4.5}{-10}[/tex]
Simplify the left side.
Cancel the common factor of [tex]-10[/tex].
[tex]j= \frac{4.5}{-10}[/tex]
Cancel the common factor.
[tex]\frac{-10j }{-10} = \frac{4.5}{-10}[/tex]
Divide [tex]j[/tex] by [tex]1[/tex]
[tex]j=\frac{4.5}{-10}[/tex]
Simplify the right side.
Divide [tex]4.5[/tex] by [tex]-10[/tex].
[tex]j=-4.5[/tex]
The Final Answer is
[tex]j=-4.5[/tex]
How many 7/9 cups servings are in 2/9 cups of juice?!?
Answers
Answer:
3
Step-by-step explanation:
I'm going to assume you meant "How many 2/9 cup serving are in 7/9 cup of juice" (since there are no 7/9 cups of serving in 2/9 cups of juice, since 7/9>2/9, and you can't have a serving of something greater than the amount you have).
In this case:
7/9 divided by 2/9=3
Since 7/9 and 2/9 have the same denominater, you can cross them off, since when you divide them, 9 divided by 9=1. 7 divided by 2=3.5, but I'll assume you want full cups.
what is the answer to this 10x - 25 + 8
Answers
[tex]10x-25+8[/tex]
Simplify:
[tex]10x+-25+8[/tex]
Combine Like Terms:
[tex](10x)+(-25+8)\\10x+-17(ANSWER)[/tex]
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Don notices that the side opposite the right angle in a right triangle is always the longest of the three sides. Is this also true of the side opposite the obtuse angle in an obtuse triangle?
Answers
Answer:
Yes
Step-by-step explanation:
The line has to be loner to connect the other two.
A carpenter has 6 feet of wood. How many inches of wood does the carpenter have?
Answers
Answer:
72 inches!
Step-by-step explanation:
since there are 12 inches in a foot, and there are 6 feet, you would multiply 6 x 12, so the answer would be 72 inches !!
i hope this helps ! ! :D
Triangle A C B is a right triangle. Angle C A B is 90 degrees, angle A B C is (4 x) degrees, and angle A C B is (7 x minus 20) degrees. What is the m∠ACB? 10° 50° 90° 180°
Answers
Answer:
50°
Step-by-step explanation:
The sum of angles in a triangle is 180 degrees
Hence given that in a triangle ACB with angles 90°, 4x°, 7x - 20
As such
90 + 4x + 7x -20 = 180
simplify
11x + 70 = 180
11x = 180 - 70
11x = 110
Divide both sides by 11
x = 110/11
x = 10
m∠ACB is 7x - 20
Substitute the value of x into the expression
= 7(10) - 20
= 70 - 20
= 50
Answer:
The answer is 50 degrees
Step-by-step explanation:
Lines a and b are horizontal and parallel to each other. Line a contains points L and M and line b contains points O and N. Line c is diagonal and intersects line a at point X and line b and point Z. It also contains points H and G. Line d is diagonal and intersects line a at point X and line b at point Y. It also contains points J and K. Triangle X Y Z is created by the lines. Which represents an exterior angle of triangle XYZ? ∠LXZ ∠JXM ∠JXZ ∠HXJ
Answers
Answer:
The exterior angle of triangle XYZ is;
∠JXM
Step-by-step explanation:
The question is a word problem with the given parameters;
The points on line 'a' = L and M
The points on line 'b' = O and N
The point line 'c' intersect line 'a' = X
The point line 'c' intersect line 'b' = Z
The points on line 'c' = H and G
The point line 'd' intersect line 'a' = X
The point line 'd' intersect line 'b' = Y
The points on line 'd' = J and K
From the drawing of triangle XYZ created with Microsoft Visio, the exterior angle is ∠JXM
Answer:
Step-by-step explanation:
the answer is JXZ
can someone help solve/understand this?? plzzzz
Answers
Answer:
[tex]y = 4(0.5) {}^{x} [/tex]
Step-by-step explanation:
By looking at your graph, The y intercept is (0,4).
This is an exponential function so it is represented by
[tex]y = ab {}^{x} [/tex]
where a is the vertical stretched and b is the constant rate and x is the nth power.
let plug in 0,4
[tex]4 = ab {}^{0} [/tex]
[tex]b {}^{0} = 1[/tex]
since anything to the 0 power is 1.
[tex]4 = a \times 1[/tex]
[tex]4 = a[/tex]
Know let plug it in to this equation.
[tex]y = 4b {}^{x} [/tex]
Let use 2,1 another point on the graph
[tex]1 = 4b {}^{2} [/tex]
Divide 4 by both sides
[tex]0.25 = {b}^{2} [/tex]
take sqr root of 0.25
[tex]0.5 = b[/tex]
So
the answer is
[tex]y = 4(0.5) {}^{x} [/tex]
I am in need of help
Answers
Answer:
I would say the answer is D because the figure is rotated 180 degrees. Letters C and D are pretty much the same just with some differences, but I would say D. Let me know if it's wrong :)
Step-by-step explanation:
what’s a non example of a slope
Answers
Answer:
a leveled line or a straight line
What is the difference of the fractions ? PLZ HELP ONLY HAVE 7 MINS
Answers
[tex] - 2 \frac{1}{2} - ( - 1 \frac{3}{4} )[/tex]
[tex] - \frac{5}{2} - ( - \frac{7}{4} )[/tex]
[tex] - \frac{10}{4} - ( - \frac{7}{4} )[/tex]
[tex] - \frac{3}{4} [/tex]