Mr. D math
Find the distance between (12,5) and (3,4) approximated to the 1 decimal place.
select the correct response
0.2
9.3
9.1
9.4
Answers
9.1
Explanation:
Use the distance formula
d=sqrt[(x2-x1)^2 + (y2-y1)^2]
d=sqrt[(3-12)^2 + (4-5)^2]
d=sqrt[(-9)^2 + (-1)^2]
d=sqrt[81 + 1]
d=sqrt[82]
d=9.055≈9.1
Where (x1, y1) is (12,5) and (x2, y2) is (3, 4)
The distance between (12,5) and (3,4) approximated to the 1 decimal place is 9.1.
To find the distance between two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex], we will use the distance formula:
Distance = [tex]\(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)[/tex]
In this case, [tex]\((x_1, y_1) = (12, 5)\)[/tex] and [tex]\((x_2, y_2) = (3, 4)\)[/tex].
Substituting these values:
Distance = [tex]\(\sqrt{(3 - 12)^2 + (4 - 5)^2}\)[/tex]
Distance = [tex]\(\sqrt{(-9)^2 + (-1)^2}\)[/tex]
Distance = [tex]\(\sqrt{81 + 1}\)[/tex]
Distance = [tex]\(\sqrt{82}\)[/tex]
Now, approximate value of [tex]\(\sqrt{82}\)[/tex] to 1 decimal place:
[tex]\(\sqrt{82} \approx 9.1\)[/tex]
So, the correct response is 9.1.
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Related Questions
do atoms have potential and kinetic energy? please explain why you think so?
Answers
Energy is a fascinating concept. It can neither be created nor destroyed, but it can be altered. Whenever you use or store energy, you deal wit potential or kenetic energy. Read on as we discuss these two energy forms in greater detail and explore the relationship between them
Answer:
Yes.
Step-by-step explanation:
Atoms have potential energy in covalent bonds which hold them together and kinetic energy when in motion. For instance, when there is an increase in temperature, particles gain in kinetic energy and move faster.
Mrs.Peterson dropped a ball from the top of a tower. At the same time, her son, Drake, launches a rocket from a different level of the tower.
The height of the tennis ball in feet after t seconds can be represented by the quadratic function: b(t)=-t^2-2t+26.
The height of Drakes rocket after t seconds can be represented by the linear function: p(t)=-2t+10.
What are the two solutions to this system? Show your work.
Explain which solution is not reasonable in this situation.
After how many seconds do the rocket and the ball reach the same height.
Answers
9514 1404 393
Answer:
two solutions: t = -4, t = 4t = -4 is not reasonable4 secondsStep-by-step explanation:
A graphing calculator shows the two solutions to be ...
(t, h) = (-4, 18) and (4, 2)
__
The two heights will be equal when ...
p(t) = b(t)
-2t +10 = -t^2 -2t +26
t^2 -16 = 0 . . . . subtract the right side expression
(t -4)(t +4) = 0 . . . factor the difference of squares
t = 4 or -4 . . . . values of t that make the factors zero
At these times, the heights will be ...
p(t) = -2{4, -4} +10 = {-8, 8} +10 = {2, 18}
The solutions are ...
(t, height) = (-4, 18) and (4, 2).
__
We generally discount solutions for negative time, because we start counting time when the objects are launched. t = -4 is an extraneous solution.
__
The rocket and ball reach the same height after 4 seconds.
Find the average rate of change of the function from x=1 to x=2.
f(x)=−10/x^2
Enter the exact answer.
Average rate of change =
Answers
Answer:
Average rate of change = [tex]\frac{15}{2}[/tex]
Step-by-step explanation:
For a closed interval [tex][a,b][/tex] in a function, the average rate of change is [tex]m=\frac{f(b)-f(a)}{b-a}[/tex].
Thus, given our interval of [tex][1,2][/tex] from the directions, we determine that [tex]f(b)=f(2)=-\frac{10}{(2)^2}=-\frac{10}{4}=-\frac{5}{2}[/tex] and [tex]f(a)=f(1)=-\frac{10}{(1)^2}=-\frac{10}{1}=-10[/tex].
Hence, [tex]m=\frac{f(b)-f(a)}{b-a}=\frac{(-\frac{5}{2})-(-10) }{2-1}=\frac{\frac{15}{2}}{1}=\frac{15}{2}[/tex].
In conclusion, the average rate of change of the function from x=1 to x=2 is [tex]\frac{15}{2}[/tex].
For all horizontal lines the range is
Answers
When you have a function where y equals a constant, your graph is a truly horizontal line,
In that case, the range is just that one and only value. No other possible values can come out of that function! Many other functions have limited ranges.
I need 425 divided by 5 with the algorithm please!
Answers
Answer:
85
Step-by-step explanation:
I attached my work in a picture below!
Hope this helps :D
Which equation reprints a line passing through the point (8,16) with a slope of 3
Answers
Tell me if you want step by step!
Hope this helps. :)
Solve each inequality. Graph and check the solution.
e
1.
<3
2
0 1 2 3 4 5 6 7 8 9 10 11
Answers
Answer:
xxxx
Step-by-step explanation:
Jacob travels to the shops 5 miles from his home, then he travels to the
post office 3 miles from the shops. Afterwards he travels home. What is
the total distance Jacob traveled? What is the total displacement of
Jacob?*
Distance 8 miles : Displacement 8 Mlles
Distance 16 Miles: Displacement 0
Distance 8 Miles: Displacement 8 Miles
Distance 6 miles : Displacement 8 miles
Answers
Answer:
[tex]\huge\boxed{Distance:16mi}\\\huge\boxed{Displacement: 0mi}[/tex]
Step-by-step explanation:
Because Jacob starts and ends at his house, his total displacement is 0mi, because the distance from his house to his house is 0 mi.
Because Jacob travels 5 miles to the shops, then (N.B. I'm inferring here) in a straight line, 3 more miles to the post office, a total distance of 8 miles, then another 8 backwards, he travels a total distance of 16mi.
Hope it helps :) and let me know if you want me to elaborate.
Plz help me on this qustin. Slove for w 2w ≥ -12
Answers
Answer:
w > -6
Step-by-step explanation:
divide each term n 2x > -12 by 2 then simplify
7. Solve. *
Tommy had 3 pounds of peanuts. If he split the peanuts up between himself
and his three friends, how many pounds of peanuts would each person gets
Answers
Answer:
0.75 is what they each get.
Step-by-step explanation:
You need to divide 3 by 4.
m 130 degrees n 130 degrees what is t
Answers
Answer:
50 degrees
Step-by-step explanation:
that line is a 180 degree and 180-130=50
help with this i dont understand please
Answers
Answer:
see explanation
Step-by-step explanation:
The rule explains what happens to the input value in order to obtain the output.
input = 4 , then divide by 4
4 ÷ 4 = 1 , then add 2
1 + 2 = 3
---------------------------------------
input = 6 , divide by 4
6 ÷ 4 = 1,5 . now add 2
1.5 + 2 = 3.5
-----------------------------------------
input = 8 , divide by 4
8 ÷ 4 = 2 , now add 2
2 + 2 = 4
-------------------------------------------
input = 10 , divide by 4
10 ÷ 4 = 2.5 , now add 2
2.5 + 2 = 4.5
--------------------------------------------
input | 0 | 2 | 4 | 6 | 8 | 10
------------------------------------------
output| 0 | 2.5 | 3 | 3.5 | 4 | 4.5
Answer:
Ok, Dear This is the most easy question.
Focus with me , Ill tell you the answer and explain it
First answer :3
Secound answer:3.5
Third answer:4
Last one :4.5
Step-by-step explanation:
So Baisicly,
First answer : We Devide 4 by 4 so its equal to 1 and then we add 2 then its equal to 3.
Secound answer: We divide 6 by 4 so it becomes 1.5 and then add 2 so itll become 3.5.
Thid answer: We divide 4 by 8 and so it becomes equal to 2 and then we add 2 so its 4.
Last one: We divide 4 by 10 and so it becomes 2.5 and then we add 2 so itll become 4.5.
In this problem, I did part a) correctly, but I got 7 points off in part b) but I don’t know why?
Answers
Answer: You need to prove that ABCD is a rhombus because it's diagonals are always perpendicular, no matter what.
A rhombus is a quadrilateral and:
- its opposite angles have equal measure.
- The two diagonals of a rhombus are perpendicular; that is, a rhombus is an orthodiagonal quadrilateral.
- Its diagonals bisect opposite angles.
5. Aaron sold 126 boxes of cookies. This is 14 more than twice the
number of boxes his sister, Victoria, sold. How many boxes of
cookies did Victoria sell?
Answers
Answer:
56 boxes
Step-by-step explanation:
1. First subtract 14 from 126 to get 112 boxes
2. Now divide 112 by 2 to get Victoria's total of 56
15. A farmer records the number of eggs that chickens on the farm produce each week. The table
shows the results.
143
160
117
137
152
108
128
If during the next week, the chickens on the farm produce 60 eggs, which statement is true?
A The value 60 is an outlier that will skew the data to the left.
B The value 60 is an outlier that will skew the data to the right.
С The value 60 is not an outlier, and it will not skew the data in either direction.
D
The value 60 is not an outlier, and the effect on the data is unknown.
Answers
which two expressions are equivalent to 7(t + 5)?
A). 7 • 5 • t
B). 7 • 5 + t
C). 7 • 5 + 7 • t
D). (5 + t) • 7
E). 5(t + 7)
Answers
Answer:
7.5+7.t
and
(5+t).7
are equivalent to 7(t+5)
Option D and E are equivalent to 7(t + 5) That is :
(5 + t) • 7 and 5(t + 7)
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
The given equation is :
7(t + 5)
7(t+5) multiply 7 with inside the parenthesis
7(t+5) = 7t + 7x5
this result is equivalent to option D and E which will give the same result.
Therefore, Option D and E are equivalent to 7(t + 5).
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What is the slope of the function?
O-6
O 4
O 4
O 6
Answers
Answer:
12/2 = 6
Step-by-step explanation:
2 ways to do it, graph it, or do the slop finding formula y2-y1/x2-x1
answer:
Step-by-step explanation:
I hope she is correct answer
(PLEASE HELP ME I NEED THIS VERY QUICKLY)
find the value of x in the rhombus
Answers
Answer:
1/2 and -5/2
Step-by-step explanation:
Assuming all sides are equal just put the equations equal to each other and solve
PLEASE HELP! I"LL MARK BRAINLIEST!!!!
△ABC is translated left 3 units to form the image ∆A′B′C′.
What are the coordinates of the vertices of ∆A′B′C′ ?
Enter your answer by filling in the boxes.
A′ =
B′ =
C′ =
Answers
Answer:
a is -1, -2
b is -1, 2
c is 2, 2
Step-by-step explanation:
i hope i helped
Find the area of the figure. (Sides meet at right angles.)
4 m
Бm
4 m
10 m
8 m
Answers
What is
[tex] \frac{4}{60} [/tex]
simplified?
Answers
Answer:
1/15
Step-by-step explanation:
4/60
Divide the top and bottom by 4
4/4 =1
60/4= 15
1/15
make the subject x of the formula y = 7x + 4
Answers
Answer:
[tex]x = \frac{y - 4}{7}[/tex]
Step-by-step explanation:
[tex]y = 7x + 4 \\\\y - 4 = 7x\\\\\frac{y - 4}{7} = \frac{7x}{7}\\ \\ \frac{y - 4}{7} = x[/tex]
x/-5+6 is greater than or equal to 2
Answers
Answer:
[tex]x\geq 2[/tex]
Step-by-step explanation:
Write out the problem
[tex]\frac{x}{-5+6} \geq 2[/tex]
Simplifiy -5 + 6 = 1
[tex]\frac{x}{1} \geq 2[/tex]
Remember that any fraction with a denominator of 1 is equilvalent to the numerator, so
[tex]\frac{x}{1} =x[/tex]
[tex]x\geq 2[/tex]
Set Question involving real and natural numbers
Answers
Only two real numbers satisfy x² = 23, so A is the set {-√23, √23}. B is the set of all non-negative real numbers. Then you can write the intersection in various ways, like
(i) A ∩ B = {√23} = {x ∈ R | x = √23} = {x ∈ R | x² = 23 and x > 0}
√23 is positive and so is already contained in B, so the union with A adds -√23 to the set B. Then
(ii) A U B = {-√23} U B = {x ∈ R | (x² = 23 and x < 0) or x ≥ 0}
A - B is the complement of B in A; that is, all elements of A not belonging to B. This means we remove √23 from A, so that
(iii) A - B = {-√23} = {x ∈ R | x² = 23 and x < 0}
I'm not entirely sure what you mean by "for µ = R" - possibly µ is used to mean "universal set"? If so, then
(iv.a) Aᶜ = {x ∈ R | x² ≠ 23} and Bᶜ = {x ∈ R | x < 0}.
N is a subset of B, so
(iv.b) N - B = N = {1, 2, 3, ...}
a pyramid whose altitude is 5ft weighs 800lbs. at what distance from its vertex must it be cut by a plane parallel to its base so that the two solids of equal weight will be formed?
Answers
A structure which has a square base and four triangular sides meeting at a point is called pyramid.
At distance of 3.97 feet from its vertex , pyramid is cut by plane so that the two solids of equal weight will be formed.
It is assumed that weight of pyramid is proportional to its volume.
So, [tex]w = k V[/tex] , where V is volume of original pyramid and v is volume of small pyramid and k is constant.
Let us consider that at h distance, pyramid is cut from its vertex. So a small pyramid is also formed.
Assume that base area of original pyramid is A and base of small pyramid is a.
Volume of original pyramid is, [tex]V= \frac{1}{3} *A* 5[/tex]
So, weight of original pyramid, [tex]W = k *(\frac{1}{3} *A* 5) = 800[/tex]
Volume of small pyramid is, [tex]v = \frac{1}{3}* a* h[/tex]
So, weight of small pyramid, [tex]w = k*(\frac{1}{3}* a* h)=400[/tex]
Since, base and height of small pyramid and original pyramid are in proportion.
So, [tex]\frac{a}{A} = (\frac{h}{5}) ^{2}[/tex]
[tex]a = (\frac{h}{5} )^{2}A[/tex]
Substituting value of a in equation [tex]k*(\frac{1}{3}* a* h)=400[/tex]
So, [tex]k*(\frac{1}{3}* \frac{h^{2} }{25}A * h)=400[/tex]
[tex](k*\frac{1}{3}* A*5)*\frac{1}{5} *\frac{h^{2} }{25} * h)=400[/tex]
Since, [tex](k *\frac{1}{3} *A* 5) = 800[/tex], substitute in above equation.
So, [tex]800*\frac{h^{3} }{125}=400\\\\h^{3}=\frac{125}{2}\\\\h=\sqrt[\frac{1}{3} ]{62.5}\\\\h=3.97 feet[/tex]
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Simplify the algebraic
expression
4(x + 1) + 7(x + 3).
a. 11x + 4
b. 2x + 215
C. 11x + 25
d. 5x + 11
Someone help pleaseeee
Answers
Answer:
C.
Step-by-step explanation:
4(x + 1) + 7(x + 3)= 4*x+4*1 + 7*x+7*3 = 4x+4 +7x +21 = 11x + 25
C
Step-by-step explanation:
4x+4+7x+21
11x+25
you have to combine like terms
In a school there are 200 boys and 800 girls. Find the percentage of girls in that school.
Answers
Answer:
80% girls.
Step-by-step explanation:
20% boy.
80%+20%= 100%
Match question I need help
Please.
Answers
Answer:
b
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is the reciprocal of
5/6
Answers
Answer:
6/5
Step-by-step explanation:
Gven: f(x) = 4x +1 and (x)= x^2 + 1.
find (fog)(x)
Answers
Answer:
Step-by-step explanation:
27836?+_68_729+_8978
