Answer:
(-1;3)
(3 - 5)/2 = -1
(-2 + 8)/2 =3
Midpoint of segment (3, -2) and (-5, 8) is (-1, 3).
The midpoint formula allows us to find the point that lies exactly halfway between two given points on a line segment. For two points represented as (x₁, y₁) and (x₂, y₂), the midpoint ([tex]x_m[/tex], [tex]y_m[/tex]) is calculated using the formula:
[tex]x_m[/tex] = (x₁ + x₂) / 2
[tex]y_m[/tex] = (y₁ + y₂) / 2
Now, let's apply this formula to find the midpoint of the segment with endpoints (3, -2) and (-5, 8):
x₁ = 3, y₁ = -2
x₂ = -5, y₂ = 8
[tex]x_m[/tex] = (3 + (-5)) / 2 = (-2) / 2 = -1
[tex]y_m[/tex] = (-2 + 8) / 2 = 6 / 2 = 3
So, the midpoint of the segment is (-1, 3).
In this explanation, we used the midpoint formula, represented by the subscript "m," to find the midpoint ([tex]x_m[/tex], [tex]y_m[/tex]) of the segment with endpoints (x₁, y₁) and (x₂, y₂). By substituting the given coordinates into the formula, we computed the x-coordinate and y-coordinate separately. The midpoint gives the exact center of the segment, dividing it into two equal parts. In this case, the midpoint lies at (-1, 3), which is indeed the point that is equidistant from both (3, -2) and (-5, 8) on the line segment.
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(01.01 LC)An athlete took forward and backward steps of equal distance to warm up before his race. After taking 10 steps total, he was back at his starting position. How many steps did the athlete take in the forward and backward directions?
I would love the help.
9514 1404 393
Answer:
5 steps forward5 steps backwardStep-by-step explanation:
In order for the total displacement to be zero, the amount of forward displacement must be equal and opposite to the amount of backward displacement. Since the steps are the same length, they must be equal in number.
Half of the 10 steps were forward, and the other half were backward.
5 steps forward; 5 steps backward.
_____
Additional comment
Math develops from an effort to model the real world. It would probably give you some insight into this problem if you were to physically take some steps to see how many forward and backward you would need to end where you start.
0.189 divided by 1.75=
Explain how you get this answer
9514 1404 393
Answer:
= 0.108
Step-by-step explanation:
Use a calculator or long division.
When using long division, it is convenient to move the decimal points in both numbers to the right 2 places. This makes the divisor an integer, so makes it easier to keep track of appropriate place value in the quotient.
0.189/1.75 = 18.9/175 = 0.108
better value for 15.3 ounce cereal
Zeros of (3-2x) is _
Answer:
[tex]let \: 3 - 2x = f(x) \\ we \: want \: find \: f(0) \\ then \: 3 - 2x = 0 \\ 3 = 2x \\ x = \frac{3}{2} \\ thank \: you[/tex]
Determine whether each of the following are functions :
Answer:
a and b are and C is not. b is called an exponential function and a is another function that I forgot the name of.
Answer:
Functions - a and cNon- function - bStep-by-step explanation:
This is verified with a vertical line test.
If a graph of a function is intersected by a vertical line at more than one point, it is not a function. This comes from the definition of a function.
We can see that the graphs a and c pass the vertical line test but the graph b fails, since at any positive x, the vertical line has two - y coordinates per each x- coordinate.
If the hypotenuse of a right triangle is 6 m and the one side is 4 m, what's the length of the other side?
Step-by-step explanation:
We can use the Pythagorean theorem to solve for side b:
[tex]c^2 = a^2 + b^2 \Rightarrow b^2 = c^2 - a^2[/tex]
or
[tex]b = \sqrt{c^2 - a^2} = \sqrt{(6\:\text{m})^2 - (4\:\text{m})^2}[/tex]
[tex]\:\:\:\:= 4.47\:\text{m}[/tex]
Answer: 2√5 or 4.47213595
Step-by-step explanation:
Use the Pythagorean Theorem: a^2 + b^2 = c^2
(a and b are the measures of the legs and c is the measure of the hypotenuse.)
Let's solve for a (the length of the other leg)
*I hope that m is not a variable and just an abbreviation for meters.
b = 4 m
c = 6 m
a^2 + 4^2 = 6^2
a^2 + 16 = 36
a^2 = √20
a = 2√5 = 4.47213595
PLEASE HELP WITH THIS
Answer:
x = 7
Step-by-step explanation:
178 =14x - 11 +12x + 7
178 = 26x - 4
182 = 26x
x = 7
Find an equation for the nth term of the arithmetic sequence.
-15, -6, 3, 12, ...
The Answer is:
an = -15 + 9(n - 1)
A tank is in the shape of a cube with edge lengths of 6 feet. Find the number of cubic feet of water needed to fill the tank. Then find the number of cubic yards of water needed to fill the tank.
Answer:
The number of cubic feet of water needed to fill the tank is [tex]216 \mathrm{ft}^{3}$[/tex]
The number of cubic yards of water needed to fill the tank is [tex]8 \mathrm{yd}^{3}[/tex]
Step-by-step explanation:
Given
A tank is in the shape of a cube with edge lengths of 6 feet.
Step 1 of 2
The volume of a cube with edge length [tex]$e$[/tex] is given by:
[tex]V=e^{3}[/tex]
Given that [tex]$e=6 \mathrm{ft}$[/tex], the number of cubic feet of water needed to fill the tank is:
[tex]V=6^{3}[/tex]
[tex]V=216 \mathrm{ft}^{3}[/tex]
Step 2 of 2
The number of cubic yards of water needed to fill the tank is
[tex]V=216 \mathrm{ft}^{3} \times \frac{(1 \mathrm{yd})^{3}}{(3 \mathrm{ft})^{3}}[/tex]
[tex]=8 \mathrm{yd}^{3}[/tex]
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Someone help answer this hehe tysm
Answer
4
Step-by-step explanation:
Rita needed to solve t problem for homework. Below is the problem and her work. Is she correct? Why or Why
not?
Pls help me, i have to submit it in 1 hour
i'll give u 100 points :)
Answer:Mark as brainliest please
Step-by-step explanation:
On August 10, 1936, a temperature of 120ºF. was recorded un Ponds, Arkansas. On Febrery 13, 1905, Ozark, Arkansas, recorded a temperature of -29ºF. What is the difference between these two temperatures?
Answer:
47
Step-by-step explanation:
Answer:
is this cold for - Febrery for August this 120 F
Step-by-step explanation:
Nehe 20 xyjsjsjqjqoowksjsj
Trevor has 40 contacts in his phone. Six are coworkers, 8 are
family members, and 26 are friends. If Trevor accidentally
calls a random contact, what is the probability he will call a
friend?
Answer:
0.65
Step-by-step explanation:
There are 26 friends on his phone.
There's a total of 40 contacts.
P(Friend) = 26/40
P(Friend) = .65
A population of rabbits at time t increases at a rate of 40-12t+3t^2 rabbits per year where t is measured in years. Find the population after eight years if there are 10 rabbits at t=0?
We have to find derivative of t
[tex]\\ \sf\longmapsto \dfrac{d}{dx}3t^2-12t+4[/tex]
[tex]\boxed{\sf \dfrac{d(x^n)}{dx}=nx^{n-1}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{d}{dx}3t^2-\dfrac{d}{dx}12t+\dfrac{d}{dx}40[/tex]
[tex]\\ \sf\longmapsto 6t-12[/tex]
Now
t=8..[tex]\\ \sf\longmapsto 6(8)-12[/tex]
[tex]\\ \sf\longmapsto 48-12[/tex]
[tex]\\ \sf\longmapsto 36[/tex]
f(x) = -5x + 8
evaluate and simplify the difference quotient.
In general, the difference quotient is [tex]\dfrac{f(x+h)-f(x)}{h}[/tex].
Before we evaluate all of that, we need to find the two top pieces individually.
[tex]\begin{aligned}\\f(x+h) &= -5(x+h)+8 \\[0.5em]&= -5x-5h+8\\\end{aligned}[/tex]
and
[tex]f(x) = -5x+8[/tex]
We'll plug that back into the difference quotient:
[tex]\begin{aligned}\dfrac{f(x+h)-f(x)}{h} &= \dfrac{(-5x-5h+8)-(-5x+8)}{h}\\[0.7em]&= \dfrac{-5x-5h+8+5x-8}{h}\end{aligned}[/tex]
Can you take it from there?
7x+2=9x-1 solve equations
Answer:
7x + 2 = 9x - 1
7x - 9x = -1 - 2
-2x = -3
2x = 3
x = 3/2
Question
Find the axis of symmetry and vertex for the parabola y = –x^-8x+8
Find the axis of symmetry and vertex for the parabola y = –x^-8x+8
y = –x^-8x+8
help with this plzzzz
Answer:
point C
Step-by-step explanation:
both planes include point C so that is where they intersect
Answer:
Point C
Step-by-step explanation:
As you can see in the picture below, Point C is where both planes intersect. Point C is what both planes have in common.
(3,-2)(-3,6) find the rise and run and the slope
Answer:
Rise is the difference in y-coordinates:
6 - (-2) = 8Run is the difference in x-coordinates:
-3- 3 = -6The slope is rise/run:
m = 8/-6 = -4/3Can you answer
-162= 8 - 5(4p + 2)
Answer: p = 8
Step-by-step explanation:
Given expression
-162 = 8 - 5 (4p + 2)
Expand parentheses and apply the distributive property
-162 = 8 - 20p - 10
Combine like terms
-162 = (8 - 10) - 20p
-162 = -2 - 20p
Add 2 on both sides
-162 + 2 = -2 - 20p + 2
-160 = -20p
Divide -20 on both sides
-160 / -20 = -20p / -20
[tex]\boxed{p=8}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
p= 8
Step-by-step explanation:
-162= 8 -5(4p +2)
Expand:
-162= 8 -5(4p) -5(2)
-162= 8 -20p -10
Simplify:
-162= -2 -20p
Bring p terms to one side, constants to the other:
20p= 162 -2
Simplify:
20p= 160
Divide both sides by 20:
p= 160 ÷20
p= 8
one-quarter of sum of half of x and six
Answer:
[tex] \frac{1}{4} \times ( \frac{x} {2} + 6)[/tex]
Average rate of change [9,49] [25,81] with chart
Over [9, 49], the average rate of change of g(x) is
[tex]\dfrac{g(49) - g(9)}{49 - 9} = \dfrac{14 - 6}{49 - 9} = \dfrac8{40} = \boxed{\dfrac15}[/tex]
Over [25, 81], it would be
[tex]\dfrac{g(81) - g(25)}{81 - 25} = \dfrac{18 - 10}{81 - 25} = \dfrac8{56} = \boxed{\dfrac17}[/tex]
−∣2x+4∣+3= -4
Absolute Value Equation step by step
Answer:
x = -3/2
Step-by-step explanation:
- |2x + 4| + 3 = -4Remove the absolute value, since you can't solve anything inside. Everything becomes negative due to the negative sign on the outside.
-2x - 4 + 3 = -4Combine -4 + 3, which results in -1.
-2x - 1 = -4Move -1 over to the other side through adding, which results in -3.
-2x = -3Divide -2 by -3, which doesn't go equally, so you leave it.
x = -3/2Go as far as you need for an answer, all will work.
Which accurately labels the cytoplasm?
W
X
Y
Z
What is -78/104, does the negative turn into a positive?
-7x - 3= 2 - 7x - 5
Step by step
To convert m into km we divide a number by
Answer:
To convert m into km we divide a number by 1000
Step-by-step explanation:
To convert from metres to kilometres, divide by 1000 (since there are 1000 metres in each kilometre). To divide a whole number by 1000, put a decimal point at the end of the number and then move it three places to the left.
Use quadratic regression to find a
function that fits the following
points.
(7,11), (10,-16), (0,4)
y = [ ? ]x2 + [ ]x + [ ]
Answer:
Y= -1 x²+8x+4
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