Based on the calculations using the midpoint rule, the value of point S is equal to (10, 12).
What is a line segment?A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.
How to determine the other endpoint?In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).
Midpoint on x-coordinate is given by:
xm = (x₁ + x₂)/2
3 = (-4 + x₂)/2
Cross-multiplying, we have:
6 = -4 + x₂
x₂ = 6 + 4
x₂ of S = 10.
Midpoint on y-coordinate is given by:
ym = (y₁ + y₂)/2
3 = (-6 + y₂)/2
Cross-multiplying, we have:
6 = -6 + y₂
y₂ = 6 + 6
y₂ of S = 12.
Therefore, point S is equal to (10, 12).
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9e−7=7e−11
Solve for e
e = -2
that should be the correct answer
Answer:
e = 2
Step-by-step explanation:
Make a conjecture about the diagram below. Do you think you can conclude that △JKL ≅ △XYZ? Explain your reasoning.
Triangles J K L and X Y Z are shown. Angles J K L and X Y Z are right angles. The lengths of J K and X Y are congruent and the lengths of J L and Z X are congruent.
Answer:
Since these are right triangles, the unmarked sides can be determined to be congruent because of the Pythagorean theorem. Once the third set of congruent sides is determined, the SSS or SAS theorem can be used to prove triangle congruency.
Step-by-step explanation:
sorry I know this is late but i just took the assignment and this was the answer
Answer:
they are right triangles so they are congruent
Step-by-step explanation:
got it right on edge
What is the answer to this problem ?
Answer: The correct answer is 14.
Step-by-step explanation: We have X and Y together, multiply that and get 10. Then we add Z which is 4 and it gets you 14.
use the accompanying statcrunch session to obtain a simple random sample of 5 high schools in the city of chicago. loading... click on the icon to view the statcrunch session.
Using sampling concepts, one sample of 5 high schools in the city of Chicago is given by:
Brooks, Hyde Park, Young Womens, Marshall, Noble - UIC.
What is the missing information?The problem is incomplete, but researching it on a search engine, it gives us a list of 15 high schools in Chicago, and asks us to take a sample of 5.
What is population and sample?Population: Collection or set of individuals or objects or events whose properties will be studied.Sample: The sample is a subset of the population, and a well chosen sample, that is, a representative sample will contain most of the information about the population parameter. A representative sample means that all groups of the population are inserted into the sample.Hence, from the concepts of sample and populations, the sample of 5 means that we have to select 5 schools from the 15 listed, hence one possible option is given by:
Brooks, Hyde Park, Young Womens, Marshall, Noble - UIC.
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plz answer correctly and give the mixed number also 5 2⁄3 ÷ 4 2⁄3 =
Answer:
The answer of 5 ⅔ ÷ 4 ⅔= 1 3/14
Jason wants to purchase a new pair of shoes. He has $70 he is able to spend. A popular new pair of shoes are sold at the shoe store for a regular price of $85. The shoe store currently has a sale of 20% off the original price of all new shoes. The tax rate at the shoe store is 7% and is charged based on the final price of the shoes.
Answer:
$72.76 Us Dollars
Step-by-step explanation:
1st I found out what 20% off of $85 was and it was $68 US Dollars then I had to add 7% of $68 US Dollars and it came out to $72.76
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I need help asap!!! (Geometry)
The length of the stake needs to be from the middle of her tent will be 6.9 feet. Then the correct option is C.
What is a right-angle triangle?
It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.
A camper attaches a rope from the top of her tent, 4 feet above the ground, to give it more support. If the rope is 8 feet long.
Then the length of the stake needs to be from the middle of her tent will be
We have
P = 4 ft
H = 8 ft
Then the base is given by the Pythagoras theorem.
B² = H² - P²
B² = 8² - 4²
B² = 64 - 16
B² = 48
B = 6.9 ft
ether 12 or 4 feet.
sorry if i didnt help
which ratio is equivalent to 12:20?
a) 3:5
b) 20:12
c) 3:10
d) 2:3
Answer:
D
Step-by-step explanation:
Answer:
it is a 3:5
Step-by-step explanation:
lan earns 2/3
as much as Jill. His yearly income is $38,000. How much does Jill earn?
Pls answer asap! Worth 15 points!!
Answer:
Jill earns $57,000
Step-by-step explanation:
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Which of the following equations is equivalent to 4.12x + 5.2 = 8.23?
(1) 412x+ 52 = 823
(2) 412x + 520 = 823
(3) 9.32x =8.23
(4) 0.412x + 0.52 = 8.23
11) -4, -1, -3
A) f(x) = x + 8x + 19x + 15
B) f(x) x + 8x? + 19x + 4
C) f(x)=r: 8x? 1 27x + 12
D) f(x) – xº +872 + 19x + 12
Write a polynomial function of least degree with integral coefficients that has the given zeros.
Answer:
The required polynomial is:
[tex]f\left(x\right)=x^3+8x^2+19x+12[/tex]
Step-by-step explanation:
Given the zeros
-4, -1, -3
Zeros can be written as:
x = -4, x = -1, x = -3
Finding the factors
x = -4
x +4 = 0
x = -1
x + 1 = 0
x = -3
x + 3 = 0
Thus, the factor are:
(x+4) (x+1) (x+3)
The original function can be computed by multiplying the factors
[tex]\left(x+4\right)\left(x+1\right)\left(x+3\right)=0[/tex]
as
[tex]\left(x+4\right)\left(x+1\right)=x^2+5x+4[/tex]
so the expression becomes
[tex]\left(x^2+5x+4\right)\left(x+3\right)=0[/tex]
Distribute parentheses
[tex]x^2x+x^2\cdot \:3+5xx+5x\cdot \:3+4x+4\cdot \:3=0[/tex]
[tex]x^2x+3x^2+5xx+5\cdot \:\:3x+4x+4\cdot \:\:3=0[/tex]
[tex]x^3+3x^2+5x^2+15x+4x+12=0[/tex]
Add similar elements: [tex]3x^2+5x^2=8x^2[/tex]
[tex]x^3+8x^2+15x+4x+12 = 0[/tex]
Add similar elements: [tex]15x+4x=19x[/tex]
[tex]x^3+8x^2+19x+12=0[/tex]
Thus, the required polynomial is:
[tex]f\left(x\right)=x^3+8x^2+19x+12[/tex]
Note: your answer choices are a little ambiguous, but I have explained the entire procedure. Hopefully, it will clear your concept.
Write a linear function f with the values f(−1)=5 and f(3)=4.
Answer:
f(x)=-0.25x+4.75
Step-by-step explanation:
-0.25x+4.75
-0.25(-1)+4.75=5
-0.25(3)+4.75=4
Hope this helps!
Astrid is painting the outside of her cabin. She knows that working alone, it will take her 23 hours to complete the job. A reasonable estimate for how long the job will take if she has her two sons help if they each work at approximately the same rate as Astrid is
A reasonable estimate for how long the job will take if she has her two sons help if they each work at approximately the same rate as Astrid is 5.75 hours.
Outside of her cabin, Astrid is painting. She is aware that if she works alone, the task will take her 23 hours to finish. If her two boys labor at roughly the same rate as Astrid, a fair estimate of how long the job will take with their assistance is
Astrid is painting the outside of her cabin = 23 hours
Astrid has her two sons help if they each work at approximately the same rate as Astrid is 23/2 = 11.5
Then 11.5/2 = 5.75 hours.
The work is calculated using the work formula. Let's review what work means before learning the formula. When we apply a force to an item and the object is moved, we say that work has been done. The work done becomes zero if there is no displacement in the direction of the force. Calculating the amount of labor required to move an object is done using the work formula.
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Outside of her cabin, Astrid is painting. If her two boys labor at roughly the same rate as Astrid, a fair estimate of 5.75 hours long the job will take with their assistance is.
Given that,
Outside of her cabin, Astrid is painting. She is aware that if she works alone, the task will take her 23 hours to finish.
We have to find If her two boys labor at roughly the same rate as Astrid, a fair estimate of how long the job will take with their assistance is.
Astrid is spent 23 hours painting the outside of her cabin.
If each son works at roughly the same rate as Astrid, which is 23/2 = 11.5 she asks her two sons to assist.
Then 11.5/2 = 5.75 hours.
Therefore, If her two boys labor at roughly the same rate as Astrid, a fair estimate of 5.75 hours long the job will take with their assistance is.
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-36 divided by -3 = ___ ( i feel like its somewhere near 12 or 6 but im not sure )
Answer:
12
Step-by-step explanation:
What is the quadratic equation whose roots are 3/4 and 1/2 respectively
We need to know about the relation between roots of a quadratic equation for solving the question. The quadratic equation with roots 3/4 and 1/2 is [tex]8x^{2} -10x+3=0[/tex]
Quadratic equation is an equation with the highest order of variable being 2. Roots of a quadratic equation are the values that satisfy the equation.Since quadratic equation has the highest order as 2, the equation has two roots. Roots of a quadratic equation can be real and unique, real and equal or imaginary. The roots of a quadratic equation can be used to get the quadratic equation itself.
Let there be a quadratic equation:
[tex]ax^{2} +bx+c=0\\x^{2} +\frac{b}{a} x+\frac{c}{a} =0[/tex]
Let the roots of the quadratic equation be α and β, then
α+β=-b/a
αβ=c/a
In this question we know the two roots are 3/4 and 1/2. So we can derive the quadratic equation from them
[tex]\frac{3}{4} +\frac{1}{2} =\frac{-b}{a} \\\frac{-b}{a} =\frac{5}{4}[/tex]
[tex]\frac{3}{4}[/tex]×[tex]\frac{1}{2} =\frac{c}{a}[/tex]
[tex]\frac{c}{a} =\frac{3}{8}[/tex]
The quadratic equation is:
[tex]x^{2} -\frac{5}{4} x+\frac{3}{8} =0\\8x^{2} -10x+3=0[/tex]
Therefore we found the quadratic equation with roots 3/4 and 1/2 to be [tex]8x^{2} -10x+3=0[/tex]
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Which expression is equivalent to 4^-5 • 3^-5 ?
The expression equivalent to 4^-5 • 3^-5 is 12^-5
What are equivalent expressions?Equivalent expressions are simply known as expressions with the same solution but different arrangement.
Given the index expressions;
4^-5 • 3^-5
Using the exponent rule, the two values are have different bases but the same exponent and thus, we multiply the bases and leave the exponents the same way.
This can be written as;
4(3) ^ -5
expand the bracket
12^-5
Thus, the expression equivalent to 4^-5 • 3^-5 is 12^-5
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5. Line l has an equation y = 2x – 4. Write the
equation of a line parallel to line l that has a y-
intercept of -1?
Answer:
y=2x-1
Step-by-step explanation:
Lines AAA, BBB, and CCC show proportional relationships.
Which line has a constant of proportionality between yyy and xxx of 333?
The line A has the constant of proportionality between x and y as 5.
What do you mean by constant of proportionality?In mathematics, we use the constant of proportionality to determine the type of proportionality, whether direct or indirect.
The proportionality constant aids in the solution of equations encompassing ratios and proportions.If one quantity increases, other quantity increases, the two quantities are considered to be proportional. Furthermore, as one quantity decreases, so does the other.For, the data given in the question;
Given lines A, B, and C Obtaining the equation for the line yields the proportionality constant.
1) Line A intersects (0,0) and (1, 5). Line A's equation is given by:
y - y₁ = [(y₂ - y₁)/(x₂ - x₁)]×(x - x₁)
Substitute the values;
y - 0 = [(5 - 0)/(1 - 0)]×(x - 0)
y = 5x
y/x = 5
The proportionality constant between y and x is 5.
2) Line B traverses (0,0) and (3, 5). Line A's equation is given by:
y - y₁ = [(y₂ - y₁)/(x₂ - x₁)]×(x - x₁)
Substitute the values;
y - 0 = [(5 - 0)/(3 - 0)]×(x - 0)
y = 5x/3
y/x = 5/3
The proportionality constant between y and x is 5/3.
3) Line C intersects (0,0) and (3, 2). Line A's equation is given by:
y - y₁ = [(y₂ - y₁)/(x₂ - x₁)]×(x - x₁)
Substitute the values;
y - 0 = [(3 - 0)/(2 - 0)]×(x - 0)
y = 3x/2
y/x = 3/2
The proportionality constant between y and x is 2/3.
Therefore, the constant of proportionality between x and y as 5 shown by line A.
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The correct question is -
Lines A, B, and C show proportional relationships.
Which line has a constant of proportionality between y and x of 5?
Find the average rate of change for f(x) = x²-3x - 10 from x = -5 to x = 10.
Answer: Average rate of change = 2
Step-by-step explanation:
i need help finding the angles
Answer:
all angles are 60 degrees
Step-by-step explanation:
since all sides are equal, all angles will be equal so its a equilateral triangle
all angles in a equilateral triangle are 60 as 180/3 is 60
so all angles equal 2x
2x = 60
x = 60/2 = 30
Can anybody help me with this math problems?
Answer:
All you have to do is replace the X with the number on the table
Step-by-step explanation:
so the first number is -3 so 3×-3+2
that equals -7 so put -7 as the first number under y. can continue like that
Answer:
1. -7, -4, -1, 2, 5, 8, 11
2. 5, 3, 1, -1, -3, -5, -7
3. -7, -6, -5, -4, -3, -2, -1
4. 13, 10, 7, 4, 1, -2, 5
Step-by-step explanation:
A painter needs to paint the bottom of a circular pool. The pool has a diameter of 60 find the area of the bottom of the pool
Answer:
188.5
Step-by-step explanation:
in order to find the circumference you need to know the radius which is half of the diameter. the picture shows the formula used.
PLZ HELP DUE IN 10 MINUTES!
15. Shari estimated that there were 60 pieces of candy left in her Halloween basket. When she counted, there
was actually only 56 pieces left. What was her percent error?
Answer:
i think its 96% ???
Step-by-step explanation:
I NEED HELP ASAP! If Tracey took 26 pictures during 6 days of vacation . How many day will it take for Tracey to take 32 pictures? !!!!!! MIDDLE SCHOOL!!!!!!!
the width, length, and height of a rectangular prism are each increased by $10\%$. what is the percent increase in the volume of the prism? express your answer to the nearest whole number.
The volume of the rectangular prism will increase by 33% if the width, length, and height are each increased by 10%.
Every three-dimensional object occupies some space. This space is measured in terms of its volume. Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
The formula for the volume of a rectangular prism is:
V = l x w x h
where
“l” is the base length
“w” is the base width
“h” is the height of the prism
If the width, length, and height are each increased by 10%, the equation will now become:
[tex]V_{2}= 1.10 l * 1.10 w*1.10h[/tex]
[tex]V_{2}= 1.331* l*w*h[/tex] V = l*w*h
[tex]V_{2}= 1.331* V[/tex]
Hence, if the width, length, and height are each increased by 10%, the volume of the rectangular prism will increase by 33%.
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determine whether each function has line symmetry.
Answer: 1 and 3 dont 2 and 4 do have a line of symmetry
Step-by-step explanation:
Graphs 1, 3 function are not line symmetry and 2 and 4 have line symmetry.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The line of symmetry is an imaginary line that runs through the centre of a line or shape creating two perfectly halves.
To check a function to be symmetrical about the origin we need to replace y with minus y and x with minus x and the function must be equal to original function.
In the given graphs, 1 and 3 are not symmetrical and 2 and 4 are symmetrical.
Hence graphs 1, 3 function are not line symmetry and 2 and 4 have line symmetry.
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What is the slope (m) of the line passing through (-6,-1) and PARALLEL to 2x + 3y = 3?
Answer:
Slope is -2/3
Step-by-step explanation:
Change slope to slope form
Y=-2/3x+1
Slopes gonna be the same if they’re parallel
PLEASE HELP ILL GOVE YOU BRAINLIST !!!!
Answer:
(X+1)+93=3x ( exterior angle of triangle is equal to sum of interior angle)
94=2x
X=94/2
X=47
also X+1=48
3*47=141
now,
Step-by-step explanation:
93+48+X=180 ( angle of triangle)
141+X=180
X=180-141
X=39
angleFGH=39
If a 200 N net force acts on a 500 grams car, what will the acceleration of the car be?
Answer:
The acceleration of the car will be 400 m/s².
Step-by-step explanation:
The acceleration of the car can be found using Newton second law:
[tex] F = ma [/tex]
Where:
F: is the net force = 200 N
m: is the mass = 500 g
a: is the acceleration =?
Then, the acceleration will be:
[tex] a = \frac{F}{m} = \frac{200 N}{500 g*\frac{1 kg}{1000 g}} = 400 m/s^{2} [/tex]
Therefore, the acceleration of the car will be 400 m/s².
I hope it helps you!
CAN SOMEONE PLEASE HELP ME WITH THESE PLSSS!!
Answer:
e= 2
W= 15
m= 9
Step-by-step explanation:
for e: yout multiply 5 x 7 to get 35 so 2 x 7 = 14
for W: 20/10 = 2 so divide 30/2 to get 15
for m: 11 x 2 = 22 so do 18 divided 2 to get 9
Answer:
E = 2
W = 15
M = 9
Step-by-step explanation:
You just have to make the denominator / numerator the same.
[tex]\frac{E}{5}[/tex] = [tex]\frac{14}{35}[/tex]
Multiply the first fraction by 7 so that their denominators are both 35.
[tex]\frac{7E}{35}[/tex] = [tex]\frac{14}{35}[/tex]
7E = 14
E = 14 ÷ 7
E = 2
[tex]\frac{20}{30}[/tex] = [tex]\frac{10}{W}[/tex]
Multiply the second fraction by 2 so that their numerators are both 20.
[tex]\frac{20}{30}[/tex] = [tex]\frac{20}{2W}[/tex]
2W = 30
W = 30 ÷ 2
W = 15
[tex]\frac{M}{11}[/tex] = [tex]\frac{18}{22}[/tex]
Multiply the first fraction by 2 so that their denominators are both 22.
[tex]\frac{2M}{22}[/tex] = [tex]\frac{18}{22}[/tex]
2M = 18
M = 18 ÷ 2
M = 9