Answer:
Additive Identity Property of 0
Step-by-step explanation:
It means that additive identity is "0," as adding 0 to any number gives the sum as the number itself.
Find the other endpoint of the line segment with the given endpoint and midpoint.
Endpoint: (7,9), midpoint: (-4,-3)
Answer:
(-15, -15)
Hope this helps!
Find x. 24² + x² = 26²
The unknown variable's result of the equation 24² + x² = 26² is 10
To solve this problem we must establish the equation, isolate the variable following the rules of clearance and solve the operations:
What is adding goes to the other side of the equality by subtracting.What is multiplying goes to the other side of the equality by dividing.24² + x² = 26²
576 + x² = 676
x² = 676 - 576
x² = 100
x = [tex]\sqrt{}[/tex]100
x = 10
What is an equation?An equation is the equality between two algebraic expressions, which have at least one unknown or variable.
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Which expression is equivalent to sum of quantity negative three and one third times n plus one sixth end quantity plus quantity one and three sixths times n minus three twelfths end quantity?
negative twenty nine sixths times n minus one twelfth
negative twenty nine sixths times n plus one twelfth
negative eleven sixths times n minus one twelfth
negative eleven sixths times n plus five twelfths
The equivalent expression is negative eleven sixths times n minus one twelfth. Option C
What are equivalent expressions?Equivalent expressions are simply defined as expressions that have same solution but differ in the arrangement of their variables, terms, constants and coefficients.
From the information given, we can represent the expression as;
{ - 3 1/ 3n + 1/ 6 } + { 1 3/ 6n - 3/ 12 }
Convert mixed fraction to improper fractions and expand the bracket
{ -10/3n + 1/ 6 } + { 9/6n - 3/ 12}
-10/3n + 1/ 6 + 9/6n - 3/ 12
Now, collect like terms
-10/3n + 9/ 6n + 1/ 6 - 3/ 12
Find the lowest common multiple
-20+ 9n/6 + 2 - 3 /12
-11n/ 6 - 1/ 12
Thus, the equivalent expression is negative eleven sixths times n minus one twelfth. Option C
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Answer:
C
Step-by-step explanation:
i had this and got it right
It takes Amelia 45 minutes to rake her yard every Saturday during the fall. It takes Andy 1 hour to rake the same yard. If Amelia and Andy work together, how long will it take them to rake the yard? Round your answer to the nearest minute.
I will Mark BRAINLIST!!! Please Help its A Math Question!!!! Determine the approximate value of x using basic trigonometry.
hope it will help you...good luck
does someone mind helping me with this? Thank you!
=======================================================
Work Shown:
A = area of the triangle on top, aka ceiling
A = 0.5*base*height = 0.5*6*8 = 24
B = area of the triangle on the bottom, aka floor
B = A = 24
C = area of the front rectangular face
C = length*width = 10*7 = 70
D = area of the face in back on the left
D = length*width = 6*7 = 42
E = area of the face in back on the right
E = length*width = 8*7 = 56
Total surface area = A+B+C+D+E = 24+24+70+42+56 = 216 square meters
------------------------
Alternative Method:
A = area of the triangle on top, aka ceiling
A = 0.5*base*height = 0.5*6*8 = 24
B = area of the triangle on the bottom, aka floor
B = A = 24
LA = lateral area = wall area
LA = (perimeter of the base)*(height)
LA = (6+8+10)*(7)
LA = 24*7
LA = 168
Total surface area = A+B+LA = 24+24+168 = 216 square meters
Write the correct messurement indicated by the arrows on the lines to the left
Answer:
Step-by-step explanation:
It is given that we need to find the correct measurement indicated by the arrows on the lines to the left.
Now, let us have a look at the figure;
6 inches5.2 inches4.6 inches4.3 inches4 inches3.6 inches3.1 inches2.6 inches2.3 inches1.7 inches1.4 inches1.2 inches1.1 inches0.5 inches0.3 inches0.2 inches0.1 cm0.7 cm1.7 cm2.3 cm3.1 cm3.4 cm4.2 cm4.7 cm5.5 cm6.4 cm7.2 cm8.2 cm8.5 cm9.1 cm9.6 cmTo know more about this topic, click here:
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How many solutions does each of the following equations have?
6(x-3)+12=6x-6
Answer:
All real numbers are solutionsStep-by-step explanation:
How many solutions does each of the following equations have?
6(x-3)+12=6x-6
6x - 18 + 12 = 6x - 6
-18 + 12 = -6
-6 = -6
0 = 0
Kendra buys 5 yards of yellow fabric and 8yards of purple fabric The yellow
costs $2 more per yard than the purple fabric,
She pays a total of 62.80 what
would be the combined cost of 2 yards of yellow and yards of purple
fabric?
The combined cost of 2 yards of yellow and 1 yard of purple fabric is $17.69.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now it is given that,
Length of yellow fabric = 5 yards
Length of purple fabric = 8 yards
Let x be the cost of per yard purple fabric.
Then, cost of per yard yellow fabric = 2 + x
Now since, Total amount paid is $62.80
Therefore,
5(2 + x) + 8x = 62.8
expanding the brackets we get,
10 + 5x + 8x = 62.8
Solving we get,
10 + 12x = 62.8
or, 12x = 52.8
⇒ x = 62.8/12
⇒ x = $5.23
Thus the cost of per yard purple fabric = $5.23
Similarly, cost of per yard yellow fabric = 2 + 5.23 = $7.23
Thus, combined cost of 2 yards of yellow and 1 yard of purple
fabric = 2*$5.23 + $7.23
= $10.46 + $7.23
= $17.69
Thus, the combined cost of 2 yards of yellow and 1 yard of purple fabric is $17.69
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What is the length of one leg of the triangle?
11 units
O 11√2 units
0 22 units
O 22√2 units
ww
Answer:
22
Step-by-step explanation:
45°
leg a = 1k
leg b = 1k
and leg c = hypotenuse = k * square root 2
k [tex]\sqrt{2}[/tex] = 22[tex]\sqrt{2}[/tex]
k = 22
-----------------------
leg a or b = k = 22
Identify the appropriate mixed number for the picture shown.
A. 54
B. 14
C. 114
D.45
Answer:
c
Step-by-step explanation:
its one full square and 1/4
f(x+h)-f(x)/h
compute the difference quotient of given function
(t)=(2t)(3-t)
The difference quotient of f(t) is: (6 - 2h - 4t)
And when h tends to zero is (6 - 4t)
How to get the difference quotient?
Here we have the function:
f(t) = (2t)(3 - t)
Expanding the function we get:
f(t) = 6t - 2t^2
Now we want to get the difference quotient, which is:
(f(t+h) - f(t))/h
Replacing our function there, we will get:
( 6*(t + h) - 2*(t + h)^2 - 6*t + 2*t^2)/h
Now we can simplify the numerator to get:
(6*t + 6*h - 2t^2 - 2h^2 - 4*t*h - 6t + 2t^2)/h
(6h - 2h^2 - 4th)/h
Now divide by h so we get:
(6 - 2h - 4t)
Now, remember that in the difference quotient we need to take the limit when h tends to zero, in that limit we will get:
(6 - 4t)
That is the difference quotient of the function f(t).
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Write an equation of the line with the given slope and y -intercept. Use slope-intercept form. Then rewrite the equation in standard form. m = -1/2, b=4
Equation of the line is y = mx + b , and the equation is x + 2y = 8
The equation of the line with the slope and y-intercept in the slope-intercept form is:
y = mx+b
Where m = slope of the line
b = y-intercept
x,y = variable
Now we have to find an equation of the line whose slope (m) is -1/2 and y-intercept(b) is 4.
From the equation we have:
y = (-1/2)x + 4
2y = -x + 8
x+2y = 8
Therefore the equation of the line is x + 2y =8 with slope m=-1/2 and y-intercept = 4.
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25446 to 1 significant figure
Answer: 30,000 rounded to 1 significant figure
I hope this helped!
Chemistry The time required for a certain chemical reaction is related to the amount of catalyst present during the reaction. The domain of the relation is the number of grains of catalyst, and the range is the number of seconds required for a fixed amount of the chemical to react. The table shows the data from several reactions.
a. Is the relation a function?
If the x values do repeat, quickly determine whether the y values match (y values are the second ones in the parenthesis). if, given the identical x values, the y values diverge.
What is a domain in math?
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.The most crucial aspect of a function to keep in mind is that there is ONLY ONE Y value for EVERY X value.
The x values shouldn't repeat if you look at your set of points, according to this (x is the first value in the parenthesis).
If the x values do repeat, quickly determine whether the y values match (y values are the second ones in the parenthesis).
if, given the identical x values, the y values diverge.
Example: Because the second and third points both have the same x value (in this case 3, in this case), but different y values, (2,8)(3,5)(3,7)(5,8) is not a function (in this case 5 and 7).
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how do i solve this angle problem?
Answer:
x = 12
Step-by-step explanation:
NB. Supplementary angles / Angles of a straight line add up to 180°
180° - 124° (the given angle)
= 56°
This means that the other part of the angle must be equal to 56° ...in other words (4x + 8)° = 56°
(4x + 8)° = 56°
56° - 8°
= 48°
So 4x = 48°
-Divide both sides by 4 in order to get rid of the 4 infront of the x so that you're able to get x alone to solve.
4x ÷4 = 48° ÷4
x = 12
You can substitute 12 in the place of x to see if this is correct.
(4(12) +8)° = 56°
56° + 124° = 180°
....therefore x = 12
need help solving please
Answer: a=√3 b=√6
Step-by-step explanation:
We have a right-angled isosceles triangle
Hence, a=√3
According to the sine theorem :
[tex]\displaystyle\\\frac{b}{sin90^0} =\frac{a}{sin45^0} \\\\\frac{b}{1} =\frac{\sqrt{3} }{\frac{\sqrt{2} }{2} } \\\\b=\frac{2\sqrt{3} }{\sqrt{2} } \\\\b=\frac{2\sqrt{3}(\sqrt{2)} }{\sqrt{2} (\sqrt{2}) } \\\\b=\frac{2\sqrt{6} }{2} \\\\b=\sqrt{6}[/tex]
A store is having a sale on jelly beans and almonds today. The table below shows the amount of each type of food (in pounds) and the total cost (in dollars) of two purchases today.
The system of equations that can be used to determine the cost for each pound of jellybeans and almonds is
5x + 3y = 16
2x + 6y = 22
The cost of one pound of jellybeans is $1.25.
The cost of one pound of almonds is $3.25.
What is the cost of one pound of jellybeans and almonds?Given this two equations:
5x + 3y = 16 equation 1
2x + 6y = 22 equation 2
Take the following steps to determine the required values:
Multiply equation 1 by 2
10x + 6y = 32 equation 3
Subtract equation 2 from equation 3
8x = 10
Divide both sides of the equation by 8: x = 10 / 8
x = 1.25
Substitute for x in equation 1:
5(1.25) + 3y = 16
6.25 + 3y = 16
3y = 16 - 6.25
3y = 9.75
y = 9.75 / 3
y = 3.25
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in the figure below, B is between A and C and C is between B and D. if BC=4, BD=12, and AD=15 and AC
For the given values, the value of line AC has a value of 7 units.
What kinds of lines are there?There are two subsets of lines: line segments with two end points and rays with one beginning point and an infinite length on the other side, each symbolized by an arrow.
A line with several segments is provided in accordance with the supplied figure.
Segment BC equals 4, Segment BD equals 12, Segment AD equals 15, and Segment AC must be located.
Since, AC = AB + BC.
(AD - BD) Plus BC Equals AC.
AC = ( 15 - 12 ) + 4.
AC = 3 + 4
AC = 7.
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Complete Question -
in the figure below, B is between A and C and C is between B and D. if BC=4, BD=12, and AD=15 and AC
Fill in the blank: The opposite of __________________ a number is finding the square root. Squared means to raise to the power of ___.
squaring, 4
squaring, 2
cubing, 3
doubling, 2
Answer:
B. Squaring, 2
Step-by-step explanation:
When you Square a number, doing the opposite is finding the square root. When squaring a number, you multiply the number by itself, the number it raises the the power of 2.
Homework Yelp please
Answer:
I might be able to help. :))
WHAT DOES C=???
QUESTION BELOW
================================================
Work Shown:
M = number of miles
L = cost to rent a luxury car = 1.15M + 16.40
E = cost to rent an economy car = 0.80M+10.95
C = difference in price
C = L - E
C = (1.15M + 16.40) - (0.80M+10.95)
C = 1.15M + 16.40 - 0.80M-10.95
C = 0.35M + 5.45
Don't forget to distribute the negative to each term in the second parenthesis.
-------------------
Optional Section:
Let's say you drove M = 100 miles as an example.
The luxury car would cost L = 1.15M+16.40 = 1.15*100+16.40 = 131.40 dollars to rent.
The economy car would cost E = 0.80M+10.95 = 0.80*100+10.95 = 90.95 dollars to rent.
The difference in rental costs is L-E = 131.40-90.95 = 40.45 dollars.
Or you could say C = 0.35M+5.45 = 0.35*100+5.45 = 40.45
This means you pay $40.45 more if you go for a luxury car instead of an economy car.
In one hour a machine can make
300 paper clips
or
360 springs.
At 1 pm the machine starts working.
It makes 450 paper clips and then changes to making springs.
How many springs will the machine make by 6 pm?
The amount of springs the machine will make by 6 pm is; 96 strings
How to solve Algebra Word problems?We are given that;
Amount of paper clips machine can make in an hour = 300 paper clips
Amount of strings the machine can make in an hour = 360 strings
Now, the machine starts working at 1pm and makes 450 paper clips.
Thus, time taken = 450/360 = 1.25 hours
This is at 2:15 pm
By 6pm, time taken would be 6:00 - 2:15 = 3:45 or 3.75 hours
Thus, number of springs made = 360/3.75 = 96 springs
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Answer:
1260 springs
SBS answer:
(pc = paper clips)
(s = springs)
300 pc = 1 hour
therfore
450 pc = 1.5 hours
1 pm + 1.5 hours will take us to 2:30 pm
2:30pm to 6:00pm will take 3.5 hours
360 c = 1 hour
so
1080 c = 3 hours
so
1260 = 3.5 hours
taking us to 6pm
What is the slope of the line determined by the equation 2 x+y=5 ?
A. -5/2
B. -2
C. -1
D. 2
E. 5/2
The slope of the line determined by the equation 2 x+y=5 is -2
What is a slope of an equation?A line's inclination or steepness can be determined using the slope formula. Finding the proportion of the change in the y-axis to the change in the x-axis allows it to be used to calculate the slope of any line.
The change in a line's "y" coordinate relative to its "x" coordinate is known as the line's slope.
The given equation = 2x + y = 5
It can be rewritten as: y = -2x + 5 (subtracted 2x from both the sides)
This is the slope-intercept form: y = mx + c
where m is the slope
If we check our equation, here m = -2
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Which step in the construction of copying a line segment ensures that the new line segment has
the same length as the original line segment?
The steps 5 and 6 in the construction of a new line segment ensures the lengths are equal.
A line segment in geometry has two different points on it that define its boundaries. Alternatively, we may define a line segment as a section of a line that joins two points.
Below are the steps for copying a line segment:
1. Let's begin with a line segment we need to copy, AB.2. we take a point C at this stage. That will be one endpoint of the new line section, either below or above AB.3. Now we place the the compass pointer on the point A of line segment AB.4. We spread the compass out until point B, making sure that its breadth corresponds to the length of AB.5. We place the compass tip on the point C created in step 2 without adjusting the compass's width.6. We now draw a rough arc without adjusting the compass's settings. we add a point D oh the arc . The new line segment will be formed by this.7. From C, draw a line to D;CD thus formed is equal to AB.Hence steps 5 and 6 are the steps in the construction of a new line segment which ensures the lengths are equal.
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Evaluate the following expression. 8+[(84/12)-4]^2-7+3
Answer:
10 + 204 y
Step-by-step explanation:
Answer:
13.
Step-by-step explanation:
8+[(84/12)-4]^2-7+3
= 8 + (7 - 4)^2 - 7 + 3
= 8 + 3^2 - 7 + 3
= 8 + 9 - 7 + 3
= 17 - 7 + 3
= 10 + 3
= 13.
Kenya plans to make a down payment plus monthly payments in order to buy a motorcycle. At one dealer
she would pay $2,500 down and $150 each month. At another dealer, she would pay $3,000 down and $125
each month. After how many months would the total amount paid be the same for both dealers? What
would that amount be?
Answer:
Step-by-step explanation:
2500+150x=3000+125x
150x-125x=3000-2500
25x=500
x=500/25
x=20 mo
----------------
2500+150*20=3000+125*20
5500=5500 total paid after twenty months
Hope this helps! ;0
Line segment AB has a length of 2 units. It is translated 6 units to the right on a coordinate plane to obtain line segment A′B′. What is the length of A′B′? (1 point) a 2 units b 4 units c 6 units d 8 units
Hep please T^T
The length of A'B' is 2 unit when Line segment AB has a length of 2 units. It is translated 6 units to the right on a coordinate plane.
What is Translation ?
Translation is a rigid transformation in which a figure or a line segment is shifted or moved without changing its shape and size.
That is, if the measurement of segment AB is 2 unit then after translation by any factor its measurement will not change,
So, the measurement of segment A'B' would be 2 unit.
Verification :
Let the coordinates of A and B are (x₁, y₁) and (x₂, y₂) respectively,
Also, the rule of translation 6 unit right is,
(x,y) → (x + 6, y)
By the distance formula,
The measure of segment AB = √(x₂- x₁)² + (y₂ - y₁)²
Thus, if A'B' is the transformed segment of segment AB,
Then, coordinates of A' and B' are (x₁ + 6, y₁) and (x₂ + 6, y₂)
So, the measure of segment A'B' =
√(x₂ + 6 - x₁ - 6)² + (y₂ - y₁)² = √(x₂- x₁)² + (y₂ - y₁)²
Hence, the measure of AB = measure of A'B'.
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Find the magnitude and direction of the following vector.
-RS : R<-3,3> and S(-9,9)
The magnitude of the vector RS is found to be - 6√2.
The direction of the given vector RS is - Ф = 45° in the fourth quadrant clockwise
What exactly is a distance formula?The algebraic representation of the distances among two points based on their coordinates (in coordinate system). The Pythagorean theorem is used to calculate distances between points in 2- and 3-dimensional Euclidean space using rectangular coordinates.
Now, in response to the question;
The coordinates of points R and S are (-3,3) and (-9,9), respectively.
The distance formula is described as follows for the points R and S:
RS² = (x₂ - x₁)² + (y₂ - y₁)²
RS = √[(x₂ - x₁)² + (y₂ - y₁)²]
R and S's coordinates are-
(x₁,y₁) = (-3,3) and (x₂,y₂) = (-9,9).
Changing the values with in formula;
RS = √[(-9 + 3)² + (9 - 3)²]
RS = √[(-6)² + (6)²]
RS = √[36 + 36]
RS = 6√2 (magnitude of the vector RS)
Now, estimate the direction of the vector RS.
A vector's direction is described by the angle it makes with such a horizontal line.
To determine the direction of a vector, use one of the following equations:
tan Ф = Δy/Δx
Where, x = horizontal change
and, y = vertical change
tan Ф = (y₂ - y₁)/(x₂ - x₁)
= (-9 + 3)/(9 - 3)
tan Ф = -1
Ф = 45° angle of direction in the fourth quadrant clockwise.
As a result, the distance between coordinates R and s is observed to be 6√2, which is same as the magnitude of the given vector RS,
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C. what does it mean when an element is written inside a circle? at the intersection of two circles? outside the circles
D. do the elements written at the intersection of both circles from a subset of the two sets? Why?
Answer:
c ) it either shows diameter or radius
d) I am not sure
C. When elements are represented in a Venn diagram (using circles), the placement of elements inside or outside the circles indicates their relationship to the sets being represented.
D. Yes, the elements written at the intersection of both circles form a subset of the two sets.
C. Place an element inside a circle to indicate that it is a member of the set indicated by the circle.
An element that is positioned at the intersection of two circles denotes an element that is a part of both sets that are symbolized by those circles.
Outside the circles: In a Venn diagram, an element that is positioned outside every circle does not belong to any of the sets being represented.
D. This is so because these components are a part of the intersection of the two sets and as such, they are a part of both sets. In set theory, all of the components that are shared by two sets are contained in their intersection. Due to their simultaneous membership in both sets, the elements at the intersection are a subset of both sets.
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