The value of the PU in the given triangle is 19.
What is centroid?The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together. A line connecting a side's midpoint and the triangle's opposite vertex is called the median.
Given,
'p' is the centroid of triangle XYZ and XU is 57.
Since p is the centroid the 'U', 'V', and 'W' are the mid pint of side'YZ', 'XZ', and 'XY'
from the centroid Theorem, we can write;
XP = 2/3 * XU
plug the values 'XU' in the above equation:
XP = 2/3 *57
XP = 2*19
XP = 38
from figure:
XP + PU = XU
PU = XU - XP
Plug 'XU' and 'XP'
PU = 57 -38
PU = 19
therefore, the PU of the given triangle is 19 units.
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Complete question:
What is the coefficient of x² in the polynomial x³ 4x² 7x 2?
The provided phrase, x3+4x2+ 7x+ â' 2 has four terms. and coefficient are 1 , 4 ,7 for the expression
What does the phrase mean?
Expressions are made up of terms. A term might be either a constant, a variable, or a combination of both.
What kind of phrase would that be?
A single letter, a single positive or negative integer, or a number of variables multiplied but never added or subtracted might be the only variable. A number is placed in front of some nouns that have variables. The number used before a sentence is called a coefficient. single-word illustrations: Three times in one phrase.
The mathematical operator + separates the four components in the equation x3+4x2+ 7x+â' 2.
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Identify the similar triangles in the figure then find the value of X.
A. Write the similarity statement in the form of triangle~triangle.
B. What is the value of X.
Answer:
x = 8
Step-by-step explanation:
∠ B ≅ ∠ D
∠ A ≅ ∠ C
Then
Δ BAD ≅ Δ DCE ( AA postulate )
Then the ratios of corresponding sides are equal, that is
[tex]\frac{BA}{DC}[/tex] = [tex]\frac{BD}{DE}[/tex] , substitute values
[tex]\frac{x}{4}[/tex] = [tex]\frac{12}{6}[/tex] = 2 ( multiply both sides by 4 to clear the fraction )
x = 8
Please I need help with this question
7. What is the most precise name for the quadrilateral?
(Show all work and explanation clearly for full credit)
P(-1,3), Q(3,0), R(0,-4), S(-4,-1)
Area of quadrilateral is 24 units and it is known as parallelogram.
A plot point in a graph is what?A point in the plane is one-to-one connected to an ordered pair of real numbers (x, y) using point plotting. The 2-dimensional Cartesian coordinate system is as a result obtained.
A parallelogram results from plotting the four points.
the lower side is between (-6,-3) and (-2,-3)
0 to 3 is at the top (4,3)
As a result, the base length is 4 because the distance
between (-6,-3) and (-2,-3) = 4
the separation between (0,3) and (4,3)
The sides are the lines that connect (0,3) to (-6,-3)
along with (4,3) to (-2,-3).
Vertical height ranges from -3 to 3 or 6.
The parallelogram's area is given by base*height = 4(6) = 24.
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please help tysm! ;))))))))))
Answer:
7 : 1 or 7/1
.........................
Flow chart to find the biggest of 3 numbers
The flowchart to find the biggest of 3 numbers is mentioned below:
Define Flowchart.A flowchart is a type of diagram that represents an algorithm, process, or workflow. It is a visual representation of the steps and decisions involved in a problem-solving or decision-making process. Flowcharts use a variety of symbols and shapes to represent different types of steps and decisions, such as inputs, outputs, process steps, and decision points. They are used to communicate the logic of a program or process to different stakeholders, such as developers, managers, and users.
Define Algorithm.An algorithm is a set of instructions or a step-by-step procedure for solving a problem or completing a task. It is a well-defined sequence of operations or actions that are taken in order to achieve a specific goal or outcome. Algorithms can be expressed using natural language, pseudocode, or programming languages. The steps in an algorithm must be unambiguous and have a clear stopping point.
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What are the solutions of the equation 9x4 minus 2x2 7 0?
The solution of the equations are x = √1 = ± 1
Now, According to the question:
The given equation is [tex]9x^4 - 2x^2 - 7 = 0[/tex]
Using the substitution rule we put [tex]x^{2}[/tex] = u .
The given equation now changes to
[tex]9u^2 - 2u - 7 = 0[/tex]--- (1)
Equation(1) is a simple quadratic equation which can be solved by factorization as follows:
[tex]9u^2 - 2u - 7 = 0[/tex]
(9u + 7)(u - 1) = 0
Therefore
9u + 7 = 0 → u = -7/9
u -1 = 0→ u = 1
Since u = [tex]x^{2}[/tex] implies
x = √-7/9 = ± i√7/9
x = √1 = ± 1
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The complete question is this:
What are the solutions of the equation [tex]9x^4 - 2x^2 - 7 = 0[/tex]? use u-substitution to solve.
The amount of eroded rock is measured in cubic kilometers (km3). A cubic kilometer is a cube that measures 1 km on each side. How many km3 of rock were eroded
The amount of eroded rock in cubic kilometres is 1 km3.
To calculate the amount of eroded rock in cubic kilometres, we need to find the volume of the area that has been eroded. The volume of a rectangular shape is found by multiplying the length, width, and height (or depth) together.
In this case, the area that has been eroded is 10 km long, 5 km wide, and 20 m deep. However, we need to convert the depth from meters to kilometres to match the units of the other measurements. Since 1 km = 1000 m, we can convert the depth by dividing by 1000:
20 m / 1000 = 0.02 km
Now that all of the measurements are in kilometres, we can find the volume by multiplying them together:
10 km * 5 km * 0.02 km = 1 km3
So the amount of eroded rock in cubic kilometres is 1 km3.
Complete Question:
The amount of eroded rock is measured in cubic kilometres (km3). A cubic kilometre is a cube that measures 1 km on each side. How many km3 of rock were eroded in an area that is 10 km long, 5 km wide, and 20 m deep?
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Subtract -2a+7b=-5 from the other equation so the b-terms become opposites
When subtracted -2a+7b=-5 from the other equation so the b-terms become opposites, we get 2a -7b = 5 as the result.
What is equation?In mathematics, an equation is an expression or a statement made up of two algebraic expressions with the same value that are separated by the equal sign. It is a mathematically quantified version of an otherwise expressed statement. Equations can take many different forms. Equations are used to compare two expressions.
To Subtract -2a+7b=-5 from the other equation so the b-terms become opposites, we need to make +7b to -7b
This is only possible when the other term has 14,
Lets solve
2a + 7b = - 5
- 4a + 14b = -10
-2a -7b = 5
Thus, when subtracted -2a+7b=-5 from the other equation so the b-terms become opposites, we get 2a -7b = 5 as the result.
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Using the Pythagorean Theorem PLEEEEEEEEEEEEEAAAAAASE!
A car traveled 48 miles west and then 14 miles south. How far is the
car from its starting point?
Answer:
50 miles.
Step-by-step explanation:
You can visualize this as a triangle. the west route is one leg and the south route is the other. The distance from the starting point is the hypotenuse. 48^2+14^2=c^2, c=50.
Answer:
50
Step-by-step explanation:
[tex]48^{2} + 12^{2} = x^{2} \\X= 50[/tex]
PLS HELP, ILL GIVE BRAINLIEST UwU
Answer:
3: C
4: "What are five of your favorite songs?"
Step-by-step explanation:
3: (a) already says how many students participate, (b) already said how many activities there were, & (c) it never talked about the movies
4: You'll be able to figure out the different types of music they enjoy listening to by asking this question.
Answer:
Part 1: A
Part 2: Five favorite songs
ind the general solution of the given differential equation. dr / d theta + r sec theta = cos theta
r = ___
r = (sin theta + C)^(-1) where C is an arbitrary constant of integration.
Any equation with at least one ordinary or partial derivative of an unknown function is referred to as a differential equation. Assuming that a function's rate of change with regard to x is inversely proportional to y, we may write it down as dy/dx = k/y.
r = (cos(theta) - d/d(theta) of sec(theta)) / sec(theta)
The differential equation assists us in presenting a relationship between the changing quantity with respect to the change in another variable. The derivative represents nothing more than a rate of change. Be a function with the form: y=f(x), where x is an independent variable, f is an unknown function.
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ITS DUE TODAY PLS HELP MEEE
Answer:
x=12
Step-by-step explanation:
10x-18+6x+6=180
16x-12=180
16x=180+12
16x=192
x=192/16
x=12
plz mark as brainliest
The mean length of 10 childrens' index finger is 6.8cm.
The mean length of 7 adults' index finger is 12.8cm.
What is the mean length (rounded to 2 DP) of these 17 people's index finger?
Answer:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
Help please due in 10 minutes
Answer:
C)
hope this helped
Step-by-step explanation:
Ill MARK AS BRAINLIEST(show how you solved the 2 parts :>
Mrs Lim has sponsored a total of 105 hot dogs and 126 cans of fruit juice for the refreshment of a classic picnic. Each student will receive the same amount of refreshment.
a) what is the greatest number of students who will get the refreshment ?
b) how many hot dogs will each student get?
C) how many fruit juices wil each student get
a) The greatest number of students who will get the refreshment is 210.
b) Each student will get 0.5 hot dogs.
c) Each student will get 0.6 cans of fruit juice.
a) To find the greatest number of students who will get the refreshment , we need to find the least common multiple of hot dogs and fruit juice.
The least common multiple is 210, which is the multiple of 105, and 126 is the least.
So the greatest number of students who will get the refreshment is 210.
b) To find the number of hot dogs each student will receive, we need to divide the total number of hot dogs (105) by the greatest number of students who will get the refreshment (210)
105/210 = 0.5
So each student will get 0.5 hot dogs.
c) To find the number of fruit juices each student will receive, we need to divide the total number of fruit juice (126) by the greatest number of students who will get the refreshment (210)
126/210 = 0.6
So each student will get 0.6 cans of fruit juice.
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Give three solutions of the inequality
6 - 11x < 61
Answer:
x > -5
( -5, ∞)
Step-by-step explanation:
6 - 11x < 61
Subtract 6 from both sides
-11x < 55
Divided both side by -11. When divided by a negative number the < switch to >
So, the answer is
x > -5
Or
(-5, ∞)
A store is having a sale on chocolate chips and Walnuts. For 3 pounds of chocolate chips and 5 of walnuts, The total cost is $19. For 9 pounds of chocolate chips and 7 pounds of walnuts, the total cost is $35. Find the cost for each pound of chocolate chips and each pound of walnuts.
Answer:
nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
Step-by-step explanation:mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq
helppp thxsssssssssssssssssssssssssssssssssss
Answer:
the answer is C
Step-by-step explanation:
since we have 8 sides multiply 6 by 8 u get 48 so the answer must be 6+6+6+6+6+6+6+6+48
Answer: C
Step-by-step explanation:
This is because an octagon has 8 total sides and each side is 6 in long. So to find perimeter you have to add all the sides up.
What is the slope of a logarithmic graph?
The slope of a logarithmic graph depends on the type of logarithm used.
For a logarithmic function in the form y = log(b,x) where b is the base of the logarithm, the slope of the graph is undefined for x=0 and for x<0 because logarithmic functions are not defined in those cases.
For a natural logarithm, the slope is negative infinity at x=0 and positive for x > 0. As x increases, the slope becomes closer to zero.
For a common logarithm, the slope is negative infinity at x=0 and positive for x > 0. As x increases, the slope becomes closer to zero.
It's important to note that logarithmic functions are not linear functions, and therefore they do not have a constant slope, the slope of a logarithmic graph will change throughout the graph.
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What is the product of - 2 1/2 and - 3 1/3
What is the degree of polynomial 5x³ 4x² 7x?
The degree of the polynomial [tex]5x^{3} + 4x^{2} + 7x[/tex] is 3 , that means it is a third degree polynomial called as cubic polynomial .
What is Degree Of Polynomial ?
The degree of the polynomial is defined as the highest power of the polynomial expression. But, if the polynomial has multiple variables, the degree of polynomial can be found by adding the powers of the different variables in the polynomial expression.
For Example : the degree of polynomial ⇒ [tex]9x^{2} + 7x + 2[/tex] is 2 .
The polynomial is given as : [tex]5x^{3} + 4x^{2} + 7x[/tex] , we have to find the degree ,
So , we can see that the the term having the highest power of the given polynomial is [tex]5x^{3}[/tex] , and the degree is 3 .
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Jordan missed 7 out of 13 test questions. How is this written as a ratio
Answer:
7:13
Step-by-step explanation:
Answer:
if im thinking correctly ratios can be written in 3 ways
Step-by-step explanation:
so it could be 7/13, 7 to 13, or 7:13
What is 2 polynomials called?
Binomial is the referred to the polynomial algebraic expression that has two terms.
What is Binomial?An expression with two dissimilar terms joined by an addition or subtraction operator is called a binomial in algebra. Since there are two terms, for instance, 2xy + 7y is a binomial. According to the quantity of terms present, algebraic expressions can be divided into different types, such as monomial, binomial, trinomial, etc.
An expression in algebra with two terms is called a binomial. Alternatively stated, a binomial expression is an algebraic expression made up of two terms that are dissimilar and have constants and variables. Using mathematical operators like + (plus) and - (minus), these terms are joined. Depending on how many terms it contains, an algebraic expression is classified as a binomial, monomial, trinomial, quadrinomial, etc.
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Change to vertex form
2x²16x+33
[tex]y=2x^2+16x+33\\\\y=2x^2+16x+32+1\\\\y=2(x^2+8x+16)+1\\\\y=2(x+4)^2+1\\\\or\\\\y=2x^2-16x+33\\\\y=2x^2-16x+32+1\\\\y=2(x^2-8x+16)+1\\\\y=2(x-4)^2+1[/tex]
Pythagorean Theorem & Irrational Numbers:Question 2
What is the length, in units, of the line segment with
endpoints at (1, 4) and (3, 7)?
Select one: answer is to the power of
13
15
137
5
Answer:
[tex]\sqrt{13}[/tex]
Step-by-step explanation:
d = √(7-4)²+(3-1)²
= √3²+2²
= √9+4
= √13
extra points!!no links tho
given the function f(x)=x^2+10x+20
a.state whether the vertex represents a maximum or a minimum point for your function. explain your answer
b.rewrite f(x) in vertex form by completing the square
Answer:
a. the vertex represents a minimum point b. f(x) = (x + 5)² - 5Step-by-step explanation:
a.
a = 1 > 0 ← that means the parabola opens up, so the vertex is minimum of the function
b.
[tex]f(x)=x^2+10x+20\\\\f(x)=\underline{x^2+10x+25} - 25+20\\\\f(x)=(x+5)^2-5[/tex]
3
Craig stops at a gas station to fill his tank. He must choose between full-service and self-service and between regular,
midgrade and premium gasoline. How many possible combinations are there?
A2.
B6
C4
D8
Answer:
B, 6
Step-by-step explanation:
As there are 2 service options and 3 regular options All you do is multiply them:
2×3=6
Heres a different way to show it:
FS = Full service
SS = self service
R = regular
M = Midgrade
P = Premium
FS,R FS,M FS,P
SS,R SS,M SS,P
So it's 6
Answer:
B. 6
Step-by-step explanation:
Full/self service = 2 options
regular/mid/premium = 3 options
2 x 3 = 6
EASY MATH!!! GIVING BRAINLIEST!!
Answer:
55
Step-by-step explanation:
So lets take our 50 dollars.
Next, take your increase of 5%. Remember, 5% is 0.05, and it is a increase of 5%, so we are multipling 50 by 1.05.
Before we start multiplying, lets recall that this occurs twice(2 years), but this doesnt mean we multiply 50 by 1.10. No, we just mutiply 50 by 1.05 2 times:
50*1.05
=
52.5
52.5*1.05
=
55.25
So your answer is 55 dollars(rounding down).
Hope this helps!
Answer:55
Step-by-step explanation:
The odds that a bag of flour weighs enough to pass inspection are 20:1.
What is the probability that a bag of flour passes inspection?
Enter your answer as a decimal rounded to the nearest thousandth, like this: 0.423
The probability that a bag of flour passes inspection is 0.05.
How to calculate the probability?Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true. In this case, the probability of an event us usually represented as a number between 0 and 1.
In this case, the odds that a bag of flour weighs enough to pass inspection are 1:20. The probability that a bag of flour passes inspection will be:
= 1/20
= 0.05
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Complete question
The odds that a bag of flour weighs enough to pass inspection are 1:20. What is the probability that a bag of flour passes inspection?