Find the coordinates of the centroid of the triangle with the given vertices. (Lesson 5-2)
X(-11,0), Y(-11,-8), Z(-1,-4)
Answers
The triangle with vertices located at X(-11 , 0), Y(-11 , -8), and Z(-1 , -4) has its centroid located at (-23/3 , -4).
The centroid of a triangle is the point inside the triangle where the three medians intersect. The median of a triangle is the line the connects the midpoint of a side and the opposite vertex.
To get the centroid of a triangle, use the formula given by:
C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]
where C is the centroid of the triangle located at (x , y)
x1, x2, and x3 are the x-coordinate of the vertices of the triangle
y1, y2, and y3 are the y-coordinate of the vertices of the triangle
Let Point 1(x1 , y1) = X(-11 , 0)
Point 2(x2 , y2) = Y(-11 , -8)
Point 3(x3 , y3) = Z(-1 , -4)
Plug in the values in the formula.
C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]
C(x ,y) = [(-11 + -11 + -1)/3 , (0 + -8 + -4)/3]
C(x ,y) = (-23/3 , -12/3)
C(x ,y) = (-23/3 , -4)
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Related Questions
please answer all of them with show work! the questions are together.
Answers
Answer:
20: Pattern 8.
21: n * n = 64
Step-by-step explanation:
8*8=64, so assuming that n is the missing variable, if we use 8 in place of n, we have 64, the "equals (=)" value will always change depending on n's value. So assuming n is equal to 8, 8*8=64
45 40 36 38 42 48 40 40 70 45 42 43 48 36 what is the mean
Answers
Answer:43.8
Step-by-step explanation:
add up all of the numbers then divide the number by the number of numbers u had in the beginning. Hope this helps! Let me know if you need more explaining !
When the following quadratic equation is written in general form, what is the value of "c"?
-3/4 x^2 + 2 = 0
-8
-2
-6
Unlimited
Answers
Answer:
the answer is
Step-by-step explanation:
c= -6
hope this help
You roll a 16-sided die (having values 1-16 on its faces).
What is the probability that the value of the roll will be a 6?
O2/16
10/16
O 1/16
06/16
Answers
The probability of six appearing is C. 1/16.
How to calculate the probability?It should be noted that probability simply has to do with the chance that something will happen.
In this case, the die has 16 faces
Therefore, the probability of six appearing will be:
= Number of six / Total number
= 1/16
Therefore, the probability of six appearing will be 1/16.
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The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
a. Write and solve three inequalities for the previous statement using the triangle shown.
b. What values for x make sense?
Answers
The inequalities for the triangle are as follows:
17 + 15 > 5x17 + 5x > 155x + 15 > 17The value of x that makes sense in the triangle is 7.
How to find the length of a triangle?The triangular inequality theorem theory states that the sum of the length of any two side of a triangle is greater than the length of the third side.
Therefore,
a + b > c
a + c > b
b + c > a
Therefore, the three inequalities for the triangle is as follows:
17 + 15 > 5x17 + 5x > 155x + 15 > 17The value of x that makes sense is 7.
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two ships leave a harbor at the same time. the first ship heads north at 20 miles per hour, and the second ship heads west at 15 miles per hour. write an expression that gives the distance d between the ships after t hours.
Answers
According to the statement 25t is the distance between the ships after t hrs.
What is Pythagorean theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a fundamental relationship in Euclidean geometry between the three sides of a right triangle. It states that perhaps the area of something like the square on which side would be the hypotenuse is equivalent to the sum of something like the areas of the squares on each of the other two sides.
What Is the Pythagorean Theorem Formula Good For?The Pythagorean theorem is only valid for right-angled triangles. When any two numbers are known, we can use Pythagoras' theorem to compute the unknown sides of something like the triangle. Other real-world applications of Pythagoras' theorem include engineering and architecture.
According to the given information:The first ship travels north at 20 kilometers an hour, while the second travels west at 15 miles per hour.
equation for the given distance between boats after t hours:
Using Pythagoras formula:C² = a² + b²
C = √(a² + b²)
a = dist. traveled in t hrs. of the 1st ship.
b = dist. traveled in t hrs. by 2nd ship.
c = dist. between the two ships after t hrs. (d)
Using formula Distance = speed * time (t)
d = √((20t)²+(15t)²)
d = √(625t²)
d = 25t is the distance between the ships after t hrs.
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. assume that the box contains 5 balls: 3 green, 1 white, and 1 red. balls are drawn in succession without replacement, and their colors are noted until a green ball is drawn.
Answers
(a)white, green, green, green, blue or green, white, green, green, blue, green, green, white, green, blue, or a green, green, green, white
(b)14 outcomes.
What is sample space?There are many situations where we cannot forecast the results with certainty, but we can always state all the possible outcomes, such as when we toss a coin or roll a die. We refer to these occurrences as random phenomena or random experiments. These kinds of random events or experiments typically include probability theory. What, though, is a sample space? A sample space for the experiment is a collection of all such potential outcomes. In other terms, the sample space, which is typically represented by the letter S, is the collection or set of potential outcomes in a random experiment. When doing a random experiment, the sample space is represented.
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What is 8y-2+6x
Please tell me quick
Answers
After solution of the given equation 8y-2+6x the answer is 2(4y - 1 + 3x).
What are equations?An equation is a mathematical statement that includes the symbol 'equal to' between two expressions with equal values. For instance, 3x + 5 = 15. There are various types of equations, such as linear, quadratic, cubic, and so on. In this article, we will learn more about equations in math.So, 8y-2+6x:
Rewrite 6 as 3 × 2Rewrite 8 as 4 × 24 × 2y - 2 + 3 × 2xFactor out common term 2:
2(4y - 1 + 3x)Therefore, equation 8y-2+6x is 2(4y - 1 + 3x).
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Find an equation of the tangent line to the following curve at the given point. y = e6x cos x, (0, 1)
Answers
An equation of the tangent line to curve [y = e⁶ˣ cos x] at the given point (0, 1) is y = x + 6.
What is tangent line?At a given point, the tangent line of a curve is a line that really just contacts the curve (function). In calculus, the tangent line may connect the curve at any other point(s), and it may also cross the graph at any other point(s).
Now, as per the given question;
Because of this, point (0,1) is a tangent point;
y = f((0) = e⁰cos0 = 1.
We differentiate to get the slope of the tangent line m. Tangent line equation:
y' = 6e⁶ˣcosx - e⁶ˣ sinx;
Thus, the slope of the curve becomes;
m = f'(0) = 6.
Substituting the values of slope and coordinates (0, 1).
y = 6 + 1(x - 0),
Simplifying the equation.
y = x + 6
Thus, the equation of the tangent line to the given curve is y = x + 6.
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the process of making estimates and drawing conclusions about one or more characteristics of a population through analysis of sample data drawn from the population is known as . a. deductive inference b. statistical inference c. inductive inference d. bayesian inference
Answers
The process of making estimates and drawing conclusions about one or more characteristics of a population through analysis of sample data drawn from the population is known as statistical inference.
What is statistical inference?
Inferential statistical analysis infers attributes of a population, for instance by testing hypotheses and generating estimates. Statistical inference is the process of employing data analysis to infer properties of an underlying probability distribution. The observed data set is thought to be a sample of a broader population. Comparable to descriptive statistics is inferential statistics. The focus of descriptive statistics is exclusively on the characteristics of the observed data; it is not predicated on the idea that the data are representative of a wider population. In machine learning, the phrase "create a prediction by evaluating an already trained model" is commonly used instead of "infer." Statistical inference uses data that has been sampled from a population to make claims about that population.
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The scale of a map is 1 in.: 15 mi. Find the actual distance corresponding to the map distance.
The distance on the map is 4.5 in..
The actual distance is
mi.
Answers
The given scale for the map is 1 in. : 15 mi., gives the actual distance corresponding to the map distance of 4.5 in. as 67.5 mi.
In the question, we are given that the scale of a map is 1 in.: 15 mi.
We are asked to find the actual distance corresponding to the map distance, given the map distance is 4.5 in.
The scale given to us is 1 in. : 15 mi.
This means that 1 inch on the map represents 15 mi. in the actual case.
Thus, the actual distance corresponding to the map distance of 4.5 in. is 15 * 4.5 mi. = 67.5 mi.
Thus, The given scale for the map is 1 in. : 15 mi., gives the actual distance corresponding to the map distance of 4.5 in. as 67.5 mi.
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leo drew a line that is perpendicular to the line shown on the grid and passes through point f g. which of the follwoing is the equation of leos lins
Answers
The equation that is perpendicular to the line that is drawn by Leo will be C. y - G = -1/2(x - F)
How to illustrate the information?Based on the information given, it should be noted that the slope of the line from the graph will be:
m = y intercept/ x intercept
= 2
The like is also passing through the coordinates (F, G).
Therefore, the appropriate equation will be y - G = -1/2(x - F).
In conclusion, the correct option is C.
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Leo drew a line that is perpendicular to the line shown on the grid and passes through point (F, G). Which of the following is the equation of Leo's line?
A) y - F = -2(x - G)y
B) y + F = 2(x + G)
C) y - G = -1/2(x - F)
D) y - G = -1/2(x + F)
find the equation of a line that goes through points (8,-9) and (-4,15)
Answers
Answer: y=-2x+7
Step-by-step explanation:
The equation of a line
[tex]\displaystyle\\\boxed {\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} }[/tex]
(8,-9) (-4,15)
x₁=8 x₂=-4 y₁=-9 y₂=15
[tex]\displaystyle\\\frac{x-8}{-4-8} =\frac{y-(-9)}{15-(-9)} \\\\\frac{x-8}{-12}=\frac{y+9}{15+9} \\\\\frac{x-8}{-12}=\frac{y+9}{24}[/tex]
Let's multiply both parts of the equation by 24:
[tex]\displaystyle\\\frac{24(x-8)}{-12} =y+9\\\\-2(x-8) =y+9\\\\-2x+16=y+9 \\\\-2x+16-9=y+9-9\\\\-2x+7=y\\\\Thus,\\\\y=-2x+7[/tex]
Can yall do this for me pls?
I can give you a Brainliest for free :D
Answers
Answer:
1. 6.9×10^6, 2. 3.8×10^1, 3. 8.19×10^-2, 4. 14.175×10^4,5. 0.2375×10^13,6. 3.75×10^-16
Step-by-step explanation:
1.3.9×2.3×10^2×10^4
=6.9×10^6
2.4.18×9×10^4×10^-6
=3.8×10^1
3.9.75×8.4×10^4×10^-6
=8.19×10^-2
4. 9.45/1.5×10^10/10^6
=14.175×10^4
5.1.14/4.8×10^5/10^-8
=0.2375×10^13
6.9/2.5×10^-11/10^4
=3.75×10^-16
1. Determine how much is taken out annually in Federal Taxes along with Social Security and Medicare for a base salary of $51,000. You are filing taxes in April, 2022.
Answers
The amount that is taken out in federal taxes is $6,968.50. The amount taken for Social security is $3,162. And the amount for Medicare is $739.50.
What are the federal taxes?For person earning an annual salary of $51,000, the federal tax in April, 2022 will be:
= 4,664 + 22% of income over $40,525
= 4,664 + (22% x (51,000 - 40,525))
= $6,968.50
Social security is:
= 6.2% x 51,000
= $3,162
Medicare taxes:
= $739.50
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Sunset High School has 500 students, and 400 of them are right-handed. The percent proportion is 400/500 = n/100. What percent of students are right-handed?
Answers
Answer:
80 percent of the students are right handed while the 20 percent are left handed
Answer: A
400/500=n/100
or 80%
Step-by-step explanation:
One ratio should represent the numbers of students, and the other ratio should show the percent out of 100.
There are 400 right-handed students out of 500; this ratio is 400/500
The percent, n, is unknown, so this ratio is n/100
If you were to roll the dice one time what is the probability it will not land on a 1
Answers
Answer:
5/6
Step-by-step explanation:
Answer: 5/6
Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
It will land on 1, Prob (land on 1) = 1/6
It will not land on 1, the probability will be given as:
Prob (not land on a 1) = 1 - 1/6
Prob (not land on a 1) = 5/6
Hence the probability that it will not land on a 1 is 5/6
what is 2 + 2
a.0
b.69
c.80085
d.106
e.200000000/100000000
Answers
Answer:
e
Step-by-step explanation:
just use a calculator for these questions
3. BUSINESS Katherine spends $700.50 each month for rent and supplies to run her hair salon. If she charges $15 for a haircut, how many haircuts must Katherine do to cover her monthly expenses? Find the decimal answer then, round to the nearest whole number.
Answers
Answer: about 47 haircuts
A recipe called for using 5 1/8 cups of flour before baking and another 8 7/9 cups after baking. What is the total amount of flour needed for the recipe?
Answers
The total amount of flour needed for the recipe is 13 65/72 cups
How to calculate the amount needed for the recipe ?A recipe needs 5 1/8 cups of flour before baking
The recipe also needs another 8 7/9 cups of flour after baking
The total amount of flour used for the recipe can be calculated by adding both amount of cups used.
= 5 1/8 + 8 7/9
= 369+632/72
= 1001/72
Convert to a mixed fraction
13 65/72
Hence the total amount of flour needed for the recipe is 13 65/72 cups
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Does anyone know this answer??
Answers
Answer:
Whole numbers
Step-by-step explanation:
Integers and whole numbers are similar, but integers contain negatives and whole numbers do not. Since a city cannot have a negative population count, we'd prefer whole numbers.
Rational numbers allow for non-whole numbers, but again, a city can't havea population of something and a half person. We again prefer whole numbers.
Answer:
Whole Numbers
Step-by-step explanation:
So cities Have complete number the represent it so integers are negative numbers and fractions and rational numbers are fractions so whole number is the only number that are complete and is not a fraction so therefore the only answer it could be is whole numbers
Can someone help me please.
Answers
Answer:
1 is 6.45
Step-by-step explanation:
3.25+1.55+1.65=6.45
the points $(1,-2)$ and $(-4,10)$ are adjacent vertices of a square. what is the perimeter of the square?
Answers
The perimeter of the square is 52 units.
In this question,
the points (1, -2) and (-4, 10) are adjacent vertices of a square.
We need to find the perimeter of the square
The side length of a square is the distance between given two points.
Let a be the side length of the square.
[tex]a=\sqrt{(-4-1)^2+(10-(-2)^2)}\\\\ a=\sqrt{25+144}\\\\ a=\sqrt{169}\\\\ a=13[/tex]
The side length of the square is 13 units.
so, the perimeter of a square would be,
P = 4a
P = 4 × 13
P = 52 units
Therefore, the perimeter of the square is 52 units.
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Help I don’t understand this
Answers
Answer:
Part A: Run=4 Rise= 8
Part B: Run=1 Rise=2
Step-by-step explanation: When counting run, count the boxes on the x axis (count how many boxes it goes to the left/tight) When counting rise, count the boxes on the y axis (Count how many boxes it goes up)
Note: Answer may be a number off. Couldnt see picture well
Find the range of each function for the given domain
F(x) = 6x - 1; D = [0, 2, 4} R={
Answers
Answer:
d. 61²-1-2 f. 6x² -17x+10. (6x-5Xx-2) i. 20x³ +8x²y-5xy² - 2y³. 4x² (5x+2y) - y² (5x+2y) ... r=0 r=4 r= {0,4} d. 3x³ +2x²-27x-18=0 x²(3x+2)-9 (3x+2) = 0.
9 pages
Step-by-step explanation:
What three numbers make up 24
Answers
Answer:
8, 8, and 8 make up 24.
there are (36)2⋅ 30 candies in a store. what is the total number of candies in the store? (5 points) group of answer choices 312 33 38 34 next
Answers
The total number of candies in the store is 312. It is obtained by using the concept of exponent and power on the given problem.
What is an Exponent?
The number of times a quantity is multiplied by itself is referred to as an exponent or power of the given quantity. For eg: 25, where 5 is an exponent or power of 2 and 2 is called the base of exponent 5. Any quantity raised to the power 0 always returns 1 as result.
Calculation of the total number of candies in the store
(36)2 * 30
Using the properties of an exponent, we have
A number with an exponent of 0 always gives 1
(36)2 * 1
(3)6×2 * 1
312 * 1
312
Thus, the total number of candies in the store is 312.
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I need the answer.????????
Answers
Answer: 60%
Step-by-step explanation:
1=100%
0.6=0.6*1
0.6=0.6*100%
0.6*100%=60%
) Samantha bought 2 burgers for $3.50 each and 3 medium French fries for $1.20 each. Write a numerical expression to represent this situation and then find the cost.
Answers
Answer:
$10.60
Numerical expression:
($3.50 x 2 ) + (3 x $1.20)
= $7 + $3.60
= $10.60
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8/9 mius -2/3 is how much
Answers
Answer:
1,56
Step-by-step explanation:
8/9minus-2/3
=8/9+2/3
(- multiply by - = +)
=24+18/27
=41/27
=1,5