The centre of a triangle must always be found inside the triangle. Illustrate the statement with examples or deny the statement using counter-examples. A diagram would be helpful in supporting your opinion
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The center of a triangle must always be found inside the triangle given that it is the concurrent point of the three median lines of the triangle all three of which are located only inside of the triangle
The examples of the properties of the center of a triangle are;
The center of the triangle is the centroid of the triangle which is the point of concurrency of the three medians of the triangle, where a median line is the line which connects a vertex to the midpoint of the side opposite the vertex inside the triangleEach median line divides the area of the triangle in half, and given that the area of the triangle is equal to half the altitude, multiplied by the length of the base side of the triangle, the three medians of a triangle are related and share a common concurrent point inside the triangle such the perpendicular distance from the concurrent point of the three medians to each of the three side is less than the altitude of the triangleGiven that the three medians are located inside the triangle therefore, based on the location of the center of the triangle on the medians of the triangle, the center of the triangle must always be found inside the triangle
Learn more about the centroid of a triangle here;
https://brainly.com/question/16482898
Related Questions
please help me need hlp
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Answer:
[tex] { - 2x}^{2} - {8x}^{3} + 6x \\ {x }^{2} - {8x}^{3} + 6x[/tex]
Step-by-step explanation:
step one foil methodstep two adding the like termsCan someone please explain how to do number 23 I have no idea how to do it.
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. Doanh nghiệp dự tính đầu tư góp vốn liên doanh với số tiền ban đầu là 500 trđ, trong vòng 4 năm, lãi suất dự kiến là 12%/năm. Tính tổng số lãi của hoạt động đầu tư liên doanh thu được sau khi kết thúc liên doanh ?
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find H.C.F OF 4x²y and xy²
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Answer:
xy
Step-by-step explanation:
The HCF is known as the highest common factor. To find the HCF of two values, we have to take the greatest number that fits into all of their factors.
To start, we can list each value's factors.
For 4x²y, this can also be written as 4*x²*y = 4*x*x*y. In multiplication, we can take the factors of each value that is multiplied. Therefore, we can start with the factors of 4 and then go to the factors of x² and so on. Our factor list is thus 1,2,4,x,x²,y
Similarly, for xy² = x*y*y, our factors are x, y, and y²
The common factors for each of these are x and y. Assuming all values are positive and greater than 1, the x*y will be greater than either x or y. Therefore, the highest common factor would be x*y = xy
618 000 in standard form
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6.18000 x 10 5
This is the standard form of 618,000
Thanks , Please mark me brainliest
TyrantMC
Find the value of x. Round
the nearest tenth.
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Step-by-step explanation:
here's the answer to your question
Determining the Domain and Range from a Graph
Determine the domain and range of the given function.
The domain is
ty
4
The range is
2
-4
-2
4
Into
Answers
Answer:
Domain is all real numbers, and range is all numbers greater than or equal to -2. If thee was anything you didn't understand let me know.
Step-by-step explanation:
The domain is what x values work, or it may be better to say the horizontal axis. is there any number you cannot use? if you cannot tell, this is a parabola, like x^2. Is there any number you cannot plug into x^2. The answer is no, the domain for all parabolic functions is all real numbers.
The range you really want to look at visually here. Range is y values you can get, or values on the vertical axis. I would also compare it to x^2 again. You should know you can make it as high as you want, here is the same. but at -2, there is no point below that. so the range is -2 and up
The other options are just specific numbers. you can disprove those by choosing a number not on their lists. For the domain literally any other number. For range any number not on the list greater than -2
Find the distance between points (a,b) and Q -a,-b)
Answers
Answer:
d = 2* sqrt(a^2 + b^2)
Step-by-step explanation:
Interesting question. You should begin by noting that 0 is not the answer although it looks like it should be.
P = (a,b)
Q= (-a,-b)
x1 = a
x2 = - a
y1 = b
y2 = - b
d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
d = sqrt( (-a - a)^2 + (-b - b)^2 )
d = sqrt ( -2a)^2 + - (2b)^2 )
d = sqrt(4a^2 + 4b^3)
d = 2* sqrt(a^2 + b^2)
how many degrees does a unit angle measure a 10° B 90° c 180 degrees d 100 degrees
Answers
Sjhhzjz
HELP! I'LL GIVE BRAINLIEST ! ! ! ! ! ! ! !
Select all of the quadrants that the parabola whose equation is y = √x - 4 (principal square root) occupies.
a. IV b. III c. II d. I
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Quadrants I and IV
When we graph y^2 = x - 4, we see that it is on the x axis, and goes up into Quadrant I, and down into Quadrant IV
HELP!!!!!! so many points for this one!!!!!! x^2+y^2+4x-2y=-1
The equation of a circle in the xy-plane is shown above. What is the radius of the circle
A.2
B.3
C.4
D.9
Answers
Answer:
A. 2Step-by-step explanation:
Given circle:
x² + y² + 4x - 2y = -1Convert the equation into the standard form of (x - k)² + (y - h)² = r²:
x² + 4x + 4 + y² - 2y + 1 = -1 + 4 + 1(x + 2)² + (y - 1)² = 2²As per above:
r = 2Correct choice is A
A.2
Answer:
Solution given:
equation of a circle is:
x²+y²+4x-2y=-1
x²+y²+4x-2y+1=0
Comparing above equation with
ax²+by²+2gx+2fy+c=0
we get
a=1
b=1
g=2
f=-1
c=1
now
radius of a circle (r)=[tex]\sqrt{g²+f²-c}[/tex]
substituting value
r=[tex]\sqrt{2²+(-1)²-1}=2[/tex]
therefore radius of a circle is 2 units
7)On subtracting 8 from x, the result is 2 . Form a linear
equation for the statement.
Answers
Answer:
8-x=2
-x=2-8
-x=-6
x=6
if 8 is subtract from 6answer is 2
Graph the exponential function.
f(x)=3/2(2)^x
Plot five points on the graph of the function. Then click on the graph-a-function button.
Answers
[tex] \bf \: f(x) = \frac{3}{2} \times {2}^{x} \\ \\ = > \bf \: f(0) = \frac{3}{2} \times {2}^{0} = \frac{3}{2} \times 1 = \frac{3}{2} = 1.5 \\ \\ = > \bf \: f(1) = \frac{3}{2} \times {2}^{1} = 3 \\ \\ = > \bf \: f(2) = \frac{3}{2} \times {2}^{2} = 6 \\ \\ = > \bf \: f( - 1) = \frac{3}{2} \times {2}^{ - 1} = \frac{3}{2} \times \frac{1}{2} = \frac{3}{4} = 0.75 \\ \\ = > \bf \: f( - 2) = \frac{3}{2} \times {2}^{ - 2} = \frac{3}{2} \times \frac{1}{4} = \frac{3}{8} = 0.375[/tex]
-1/2(6x+10)=13 please help I’m a lil confused on it
Answers
Answer:
x=-6
Step-by-step explanation:
-1/2(6x+10)=13
Distribute
-3x -5 = 13
Add 5 to each side
-3x-5+5 = 13+5
-3x = 18
Divide by -3
-3x/-3 = 18/-3
x=-6
What is the value of x in the equation 4(2x + 14) = 0?
A. 9
B. 7
C. -7
D. -9
Answers
Answer:
-7
Step-by-step explanation:
2(2x+14)=0
2x+14=0
2x=-14
x=-14/2
x=-7
Answered by GAUTHMATH
Find the exact value of x.
Answers
Answer:
x =9 ,6
Step-by-step explanation:
Someone explain this I don’t understand
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"The mean age of all students at the University has a 95% chance of falling between 21.3 and 24.6 years of age." This statement represents:
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Answer:
Confidence interval of the population mean
Step-by-step explanation:
The statement above is a report of the estimated confidence interval value which is used to obtain the estimate if the population mean from a given sample.
The statement above gives the confidence interval at α = 95%
A number is raised to the 4 th power, then divided by half the of the original number, and finally increased by 141/2. If the result is 100, what was the orginal number
Answers
Answer:
the number is 2.45
Step-by-step explanation:
let the original number = n
[tex]\frac{n^4}{n/2} = \frac{2n^4}{n} = 2n^3\\\\2n^3 + \frac{141}{2} = 100\\\\4n^3 + 141= 200\\\\4n^3 = 200 - 141\\\\4n^3 = 59\\\\n^3 = \frac{59}{4} \\\\n^3 = 14.75\\\\n = \sqrt[3]{14.75} \\\\n = 2.45[/tex]
Therefore, the number is 2.45
Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles.
This is a triangle. side a has a length of 6 yards. side b has a length of 10 yards. side c has a length of 14 yards. The altitude to side c has a length of X yards. what is x
Answers
Answer:
3.71 yd
Step-by-step explanation:
Heron's formula:
area = 0.25 * √((a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c))
so h = 0.5 * √((a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c)) / c
a = 6
b = 10
c = 14
a+b+c = 30
-a+b+c = 18
a-b+c = 10
a+b-c = 2
x = h = 0.5×sqrt(30×18×10×2)/14 = sqrt(30×18×10×2)/28 =
= sqrt(10800)/28 = sqrt(400×9×3)/28 =
= 20×3×sqrt(3)/28 = 60×sqrt(3)/28 = 15×sqrt(3)/7 =
= 3.711537 yd
a 60kg person climbs stairs of total height of 20m in two minutes calculate the power delivered [g = 10ms^2].
Answers
Answer:
she's I'll ccgmf
Step-by-step explanation:
for the next day and night and it was so yitd cash check out j vfkcnc gjjx xh
5. For an acute angle 0, cos(0) = sin(33) is true. What is the value of 0?
Answers
Answer:
Value is 57
Step-by-step explanation:
sin 33
= sin (90-57)
= cos 57
Answered by GAUTHMATH
Find all solution(s) of the quadratic equation x2 – 100 = 0. Question 9 options: A) x = 10, –10 B) x = –10 C) x = 10 D) x = 100, –100
Answers
Answer:
x = - 10, x = 10
Step-by-step explanation:
Given
x² - 100 = 0 ( add 100 to both sides )
x² = 100 ( take the square root of both sides )
x = ± [tex]\sqrt{100}[/tex] = ± 10
solutions are x = - 10, x = 10
f(x) = x + 6, find the ordered pair when x = -2.
Answers
Answer:
(-2,4)
Step-by-step explanation:
ordered pair = coordinates
f(-2) = -2+6 = 4
f(x) = y
If (x/3)-1 is twice as large as (x/4)-3, what is the value of x?
Answers
Answer:
30
Step-by-step explanation:
Answer:
x = 30
Step-by-step explanation:
The equation modelling the statement is
[tex]\frac{x}{3}[/tex] - 1 = 2 ( [tex]\frac{x}{4}[/tex] - 3 ) ← distribute parenthesis by 2
[tex]\frac{x}{3}[/tex] - 1 = [tex]\frac{x}{2}[/tex] - 6 ( multiply through by 6 to clear the fractions )
2x - 6 = 3x - 36 ( subtract 2x from both sides )
- 6 = x - 36 ( add 36 to both sides )
30 = x
Triangle UVW is similar to triangle XYZ. Find the measure of side ZX. Figures are not
drawn to scale.
w
N
8
4
19.8
U
y
х
Answer:
Submit Answer
Answers
Answer:
9.9
Step-by-step explanation:
Let the side of ZX = x
4/8 = x/19.8
Cross-multiply
8x = 79.2
Divide both sides by the coefficient
8x/8 = 79.2/8
x = 9.9
Find: (6m5 + 3 – m3 – 4m) – (–m5 + 2m3 – 4m + 6)
Answers
Answer: 7m⁵ -3m³ - 3
Working:
= (6m⁵ + 3 - m³ - 4m) -(-m⁵ + 2m³- 4m +6)
= 6m⁵ + 3 - m³ - 4m +m⁵-2m³+4m - 6
= 6m⁵ + m⁵-m³ -2m³ -4m + 4m - 6 +3
= 7m⁵ -3m³ - 3
Answered by Gauthmath must click thanks and mark brainliest
Can someone help me please
Answers
Answer:
=2⁵it's option B 2⁵(B) 2⁵ is the right optionGiven m|n, find the value of x.
(6x-5)
(6x+5)
Answer:
Submit Answer
attempt
PLSSSS HELP
Answers
Answer:
x = 15
Step-by-step explanation:
The two angles form a straight line so they add to 180
6x-5+6x+5 = 180
Combine like terms
12x= 180
Divide by 12
12x/12 =180/12
x = 15
Simplify the Following
4×7-63÷9+20
Answers
Answer:
41
Step-by-step explanation:
pay attention to the order of operation
4*7 - 63/ 9 +20, first multiplication and division from left to right
28 - 7 + 20 , second addition and subtraction from left to right
21 +20
41
Answer:
Step-by-step explanation:
Use PEDMAS
First perform division, then multiplication and then addition & subtraction.
4 * 7 - 63÷9 + 20 = 4*7 - 7 + 20 {Division}
= 28 - 7 + 20 {Multiplication}
= 41
