Given:
Vertices of a triangle ABC are A(-3,0), B(3,0) and C(0,4).
To find:
The intersection point of all the medians of the triangle ABC.
Solution:
We know that, intersection point of all the medians of a triangle is called centroid.
The formula of centroid is
[tex]Centroid=\left(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3}\right)[/tex]
Vertices of a triangle ABC are A(-3,0), B(3,0) and C(0,4).
[tex]Centroid=\left(\dfrac{-3+3+0}{3},\dfrac{0+0+4}{3}\right)[/tex]
[tex]Centroid=\left(\dfrac{0}{3},\dfrac{4}{3}\right)[/tex]
[tex]Centroid=\left(0,1.333...\right)[/tex]
Round each coordinate to the nearest tenth.
[tex]Centroid=\left(0,1.3\right)[/tex]
The coordinates of required point are (0,1.3). Therefore, the correct option is C.
HELP PLEASE :( I WOULD APPRECIATE SO MUCH
How many solutions does the system of linear equations represented in the graph below have?
Answer:
It has no solution because the two lines would never meet since they have the same slope of -3
Answer:
No solution because the lines are parallel
❗️HELP❗️
What is the RANGE of this input/output table???
Answers:
A. 2
B. 1,2,4,5,6
C. 2,4,5,6
D. 1,2
Answer:
if im not wrong its 1 and 2
Which statements verify that the solution set to |x + 3| < 5 is –8 < x < 2? Check all that apply.
1. Substituting a value into the inequality from the solution set, such as –2, will create a true statement.
2. Substituting a value into the inequality from the solution set, such as 1, will create a false statement.
3. Substituting a value into the inequality not from the solution set, such as 4, will create a true statement.
4. Substituting a value into the inequality not from the solution set, such as 6, will create a false statement.
5. Substituting any value into the inequality will create a true statement.
Answer:
1 and 4
Step-by-step explanation:
Answer:
1 and 4
Step-by-step explanation:
Only true statements out of the option
geometry:(
*image shown above*
Answer:
y-1=-7/2*(x+3)
Step-by-step explanation:
a teacher buys all 5 books. She pays with a $100 bill. How much change should she get
Answer:
how much are the books. ????
Answer:
How much does each book cost?
Caroline needed to get her computer fixed. She took it to the repair store. The
technician at the store worked on the computer for 2.75 hours and charged her $114
for parts. The total was $320.25
Answer:
i need this for a challenge
Step-by-step explanation:
write a equation to find the "n" term of each sequence
1,3,5,7,....
Answer:
a1=1
d=3-1
=2
an=a1+(n-1)d
=1+ (n-1)2
=1+2n-2
2n-1
Jakob used the table shown to find a ratio which is equivalent to 5:9.
a multiplication table here
Which ratio is equivalent to 5:9?
10:36
10:27
20:27
20:36
Answer:
20:36
Step-by-step explanation:
5 x 4 = 20
9 x 4 = 36
Final answer: 20:36
Need help finding x.
Answer:
Step-by-step explanation:
SOH CAH TOA to help remember how the trig functions fit on the triangle
use SOH since we know the angle and the hypotenuse and want to find the opposite side
Sin(x)= Opp/ Hyp
Hyp* sin(38) = Opp
12* 0.6156614753 = Opp
7.3879377...
7.4 is the answer
The kitchen in Mario's Italian restaurant is 18
meters long and 12 meters wide. A square
pantry is connected to the kitchen area. The
pantry is 3 meters wide. What is the total area
of the kitchen and pantry?
What is the range of the following numbers?
12, 20, 18, 25,6
Answer:
The range is 19.
Step-by-step explanation:
What you do is you find the highest number (25) and subtract the lowest number (6) to find the range. super easy!
P.S Can I have brainliest?
Answer: 19
Step-by-step explanation:
To find range subtract lowest number (6) from (25) =19
I need help cause I’m lazy to do it myself it’s 4 in the morning
Answer:
C. Mario should have multiplied the x-values by $6.50 to get the y values.
Step-by-step explanation:
Let's do it the way they said. If we were to multiply 1 by 65, it would be $65. If we did the same thing for 2, 2 x 65 is $130. This is incorrect because these values do not match up with the ones on the graph.
Decimal points are important in this case because it completely changes your answer. When you multiply 1 by 6.50, you get 6.50. Which is what's on the graph. Multiply 2 by 6.50 and you'll get $13, and so on.
So now we can conclude that the mistake Mario made was that he multiplied x by the wrong value (65), when it should have been $6.50.
Note: Hope this helps! Good luck on your test. :)
Can someone help me with question 12A please? Thank you!
Answer:
Step-by-step explanation:
SOORY
Mr Andy’s class needs $7,000 dollars to buy a graphing calculator. On Friday, they had saved $1,750. On Monday, the students brought in $380 more. How much more money does the class need to save to buy the calculator?
Answer:
$4870
Step-by-step explanation:
1,750+380=2130
7000-2130=4870
Hope this helps; have a great day :)
Answer:$4,870
Step-by-step explanation:
1,750+380=2130
7000-2130=4870
1 /2 + 3/ 4 ÷ 1/3 –1( they are fractions)
Answer:
2 2/4
Step-by-step explanation:
Which of the points A (5, −3),B (−2, 4), C (0, 0),D (2, 1), E (−5, 2.5) belong to the graph of the direct variation y = 1/2 x ?
Answer:
A (5,-3) does not belong
B (-2,4) does not belong
C (0,0) belongs
D (2,1) belongs
E (-5,2.5) does not belong
Step-by-step explanation:
To find the answer, you'll need to know
what is the number in half? If (x,y) is like
10,5 then that will belong.
what is the answer to this eqution 3.5(x+2)=-4 ? could you please help me thank you
Answer:
x=-3.14
or -3 with -.5 remainder
Step-by-step explanation:
PEMDAS
Parenthesis Exponent Multiply Divide Add Subtract
parenthesis 3.5*x=3.5x 3.5*2=7
3.5x+7=-4
subtract 7 from both sides
3.5x=-11
divide both sides by 3.5
x=-3.14
or -3 with -.5 remainder
Answer:
x=-22/7
Step-by-step explanation:
multiply 3.5 and x then multiply 3.5 and 2. this will get you 3.5x+7=-4. next you need to subtract the 7 from the -4, resulting in 3.5=-11. finally divide -11 and 3.5, after that you get the answer of x=-22/7 or -3 1/7. if you need decimal form that will be -3.142857
Explain why i^3 is equal to i^47? Why
Answer:
i is probably 1.
Step-by-step explanation:
1^3 is equal to 1
1^47 is equal to 1
Order from least to greatest: 1, -3, -6, 5, 0 *
Your answer
I
Please fill out this field.
Answer:
-6,-3,0,1,5
Step-by-step explanation:
u don't need an explanation for this, right?
Can somebody plz help answer both the word problem question and number 24. (I can’t find the right answers) :(
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DD
Answer:
23:600
24
a12
b27
c36
d45
Step-by-step explanation:
23.
5/9 = ?/1080
1080/9 = 120. 120 × 5 = 600
So there are 600 students who voted for the winning candidate in the school.
24.
Length : width
4 : 3 (we need to cross multiply and solve the equation in order to find the answer to these)
x : 16 <- 16 × 4 = 64. 3 × x = 3x. 64 = 3x. 64/3 = 21 1/3. 21.3:16
x : 26 <- 26 × 4 = 104. 3 × x = 3x. 104 = 3x. 104/3 = 34 2/3. 34.6:26
x : 48 <- 48 × 4 = 192. 3 × x = 3x. 192 = 3x. 192/3 = 64. 64:48
x : 60 <- 60 × 4 = 240. 3 × x = 3x. 240 = 3x. 240/3 = 80. 80:60
Write an equation of the line that is the perpendicular bisector of the line segment having endpoints
(3,-1) and (3,5).
Answer:
Equation of perp/bisector: y = 2
Step-by-step explanation:
The equation of the line that is the perpendicular bisector of the line segment having endpoints (3, -1) and (3, 5) is y = 2.
What is the equation of a line?A straight line's general equation is y = MX + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. Key Concept. Y = MX + c represents the equation of a straight line with gradient m and intercept c on the y-axis.Perpendicular bisector:
Lines that cross each side's midpoint and are perpendicular to the specified side are known as a triangle's perpendicular bisectors.Key concept:
Y = MX + c represents the equation of a straight line with gradient m and intercept c on the y-axis.Slope through the indicated points:
(5--1)/(3--3) = undefinedThus, m = 0 is the slope of the perpendicular bisector.Midway along the segment, x = (3+3)/2 = 3 and y = (-1+5)/2 = 2.The midway is (3,2), and the line is horizontal through if slope = 0. (3,2).The equation of the line that is the perp/bisector of the line segment is y=2.
Therefore, the equation of the line that is the perpendicular bisector of the line segment having endpoints (3, -1) and (3, 5) is y = 2.
Know more about Line's equation here:
https://brainly.com/question/18831322
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Solving One Step Equations. SHOW YOUR WORK
-6 = b/16 solve to find b
Answer:
-96
Step-by-step explanation:
multiply both sides by 16
A block of silver is weighing 8 ounces is worth $104. What is the unit rate for the Value of silver in one ounce
Answer:
5
Step-by-step explanation:
Nita simplified the equation in problem 8 to 1.8 = 1.2x.
How did she get that? Is this a valid way to solve the
equation? Explain.
Answer:No
Step-by-step explanation: No,this is not an valid way to solve the equation because you can’t multiply 1.2 with anything to get 3
there is a proportional relationship between time in hours and time in days.
A) what is the constant of proportionality?
B) what equation describes this relationship?
Answer:
maybe B because this answer fits the question more for me
I can't help you because I'm also stuck on this question for mathematics in middle school, and it's hurting my brain just trying to figure it out :[
I used half the sugar to make cookies then I used another 2 cups for a really big cake I had 4 cups of sugar left how many cups of sugar did I start with
Answer:
12 cups of sugar
Step-by-step explanation:
Total cups of sugar = x
Cookies = 1/2x
Big cake = 2 cups
Sugar left = 4 cups
x = 1/2x + 2 + 4
Collect like terms
x - 1/2x = 6
1/2x = 6
Divide both sides by 1/2
x = 6 ÷ 1/2
= 6 × 2/1
= 12/1
x = 12 cups of sugar
Pls help I’m bad at math no matter how much I try
Answer:
no it is not
Step-by-step explanation:
does the point (2, 5) lie on the line y = 3x-1
The solution is Yes
The point P ( 2 , 5 ) lies on the equation of line y = 3x - 1
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
y = 3x - 1 be equation (1)
Let the point be represented as P
The coordinates of P is = P ( 2 , 5 )
Substituting the values of x and y in the equation , we get
y = 3x - 1
when x = 2 and y = 5 , we get
5 = 3 ( 2 ) - 1
5 = 6 - 1
5 = 5
Therefore , the solution is true
Hence , the point P ( 2 , 5 ) lies on the equation of line
To learn more about equation of line click :
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PLEASE HELP!!!!! MEEE
Answer:
.............
Step-by-step explanation:
(-4,1) (0,5) in slope-intercept form
Answer:
F(x)=1x+5
Step-by-step explanation:
Answer:
y = x + 5
Step-by-step explanation:
(-4, 1) and (0, 5)
To find slope, it's [tex]\frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]
So 5 - 1 / 0 - (-4) -> 4/4 = 1
1 is the slope, so y = x + b.
To find b, plug one of the points into the formula. I'll use (0, 5).
(5) = 1 (0) + b
b = 5
So the equation in slope-intercept form is y = x + 5.