If the points (2,7),(-3,3) and (5,1) are the vertices of a triangle ,find the length of the median drawn through the first vertex.
Answers
Answer:
√26 ≈ 5.10 units
Step-by-step explanation:
The midpoint to which the median is drawn is ...
M = (B +C)/2
M = ((-3, 3) +(5,1))/2 = (-3+5, 3+1)/2 = (2, 4)/2 = (1, 2)
The distance between the first vertex and this point is given by the distance formula.
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((2 -1)^2 +(7 -2)^2) = √(1^2 +5^2) = √26 ≈ 5.0990 ≈ 5.10
The length of the median is √26 units.
Related Questions
Simplify using combining like terms: 3a + 6 + 2a - 8
Answers
Answer:
a = 2
Step-by-step explanation:
Simplifying
3a + 6 = 2a + 8
Reorder the terms:
6 + 3a = 2a + 8
Reorder the terms:
6 + 3a = 8 + 2a
Solving
6 + 3a = 8 + 2a
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-2a' to each side of the equation.
6 + 3a + -2a = 8 + 2a + -2a
Combine like terms: 3a + -2a = 1a
6 + 1a = 8 + 2a + -2a
Combine like terms: 2a + -2a = 0
6 + 1a = 8 + 0
6 + 1a = 8
Add '-6' to each side of the equation.
6 + -6 + 1a = 8 + -6
Combine like terms: 6 + -6 = 0
0 + 1a = 8 + -6
1a = 8 + -6
Combine like terms: 8 + -6 = 2
1a = 2
Divide each side by '1'.
a = 2
Chanel says the sequence of transformations that maps trapezoid PQRS onto trapezoid KLMN is: rotate it 90 degrees counterclockwise, and then dilate it by a scale factor of .
Preston says the sequence of transformations that maps trapezoid PQRS onto trapezoid KLMN is: reflect it across the x-axis, and then dilate it by a scale factor of .
Answers
Answer:
it changes it by putting it into quadrant 2.
Step-by-step explanation:
(x,y) → (x,-y)
KLMN is an upside down image of PQRS So it was reflected across the x axis and then scaled by 1/2
Preston is correct
The table shows the ratio between the number of books ordered and their cost: Number of Books Cost (dollars) 7 14 8 16 9 18 Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid. (10 points)
Answers
14/7 = 2
16/8 = 2
18/9 = 2
This shows the cost of one book is $2
Multiply the number of books bought by 2 to get the cost:
1 x 2 = 2
2 x 2 = 4
3 x 2 = 6
Answer: (1,2) (2,4) (3,6)
Starting from the origin (0,0) for every 1 book bought ( x axis) move 2 more up than the previous total (y axis)
Using the 3 ordered pairs in the answer at x value 1 place a dot at y 2, then a dot at x2,y4 and again at x3,y6
Answer:
I'm doing the same test right now the ratios are 1 to 2 but the answers would be 1 to 2, 2 to 4, and 3 to 6 . you have to double the numbers that are shown
Step-by-step explanation:
I didn't copy the guy above it's litterallty simple multiplication hope my answer helped
please help me asap
ty
Answers
Answer:
y = -4x
Step-by-step explanation:
Subtract 8x both sides
2y = 0 + (-8x)
Divide by 2 both sides
y = -4x
Tell whether each graph is a function and justify your answer. Which graph is not a good representation of a real-world situation? Explain.
Answers
Using the function concept, it is found that:
Graph B is a function because each value of x corresponds to exactly one y-value.In a function, one value of the input can be related to only one value of the output.
In a graph, it means that for each value of x(horizontal axis), there can be only one respective value of y(vertical axis).In this problem, at Graph A, when x = 5, for example a vertical line crosses the function 3 times, hence there are 3 respective values of y for x = 5, and the same is valid for other values of x, hence it is not a function.
At Graph B, for each value of x, there is only one value of y, hence it is a function.
Hence:
Graph B is a function because each value of x corresponds to exactly one y-value.
To learn more about the function concept, you can take a look at https://brainly.com/question/12463448
Pls help me 15 points total
Answers
Darren got 39 out of the 52 questions correct on a test. What percent of the questions did he get correct?
Answers
Answer:
75%
Step-by-step explanation:
Here are step-by-step instructions showing you how we calculated 39 out of 52 as a percentage:
The first step is to divide 39 by 52 to get the answer in decimal form:
39 / 52 = 0.7500
Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage:
0.7500 * 100 = 75.00%
A food production company is choosing between two suppliers of grain. Supplier A sells grain for $5.25 per bushel plus a
delivery fee of $3 per bushel Supplier B sells the grain for $6.50 per bushel plus a flat delivery fee of $1,500 each week.
Which supplier would cost more if the production company bought 500 bushels of grain each week?
O Supplier B would cost $625 more than supplier A.
O Supplier B would cost $600 more than supplier A
O Supplier A would cost $875 more than supplier B.
O Supplier A would cost $800 more than supplier B.
Answers
Answer:
Supplier B would cost $625 more than supplier A.
Step-by-step explanation:
What is the end behavior of the graph of the polynomial function f(x) = 3x^6 + 30x^5 + 75x^4?
Answers
Answer:
[tex]f(x)\longrightarrow\infty[/tex] as [tex]x\longrightarrow\infty[/tex]
Step-by-step explanation:
We can see that all parts of the polynomial are positive, so as x gets larger, y will also get larger.
A rare diamond, valued at $3,750, is gaining value at a rate of 4% each year. The value of a diamond, v, can be found using the equation v=p(1+r)t where p is the original value of the diamond, r is the rate, and t is the number of years the diamond gains value.
How much will the diamond be worth in 6 years?
$4,743.75
$4,744.95
$4,762.50
$4,875.00
Answers
Answer: $4,744.95
Step-by-step explanation:
v=3,750(1+4%) 6th power
solve 2 2/3 x 3 3/5 using an area model of 4 squares.
Answers
Answer:
9 3/5 is the answer it's in photo above how to
Can someone help me with this question?
Answers
Answer:
radius, center, chord, diameter
Step-by-step explanation:
a. radius
b. center
c. chord
d. diameter
someone please help i do not understand i will give you brainlyest
Answers
Answer:you can compare 108 to the other sides :)
Step-by-step explanation:
#26: Angles
A triangle has angle measures of 42.5° and 86.7º. What is the measure of the third
angle in the triangle?
Answers
Answer:
50.8 degrees is the third angle
P(A) = 8/15
P(B) = 6/15
P(A ∩ B) = 1/5
Find P(A U B)
4/15
11/15
1/15
2/15
Answers
Answer:
1/15
Step-by-step explanation:
Answer:
Step-by-step explanation:
1/15
What is NOT the value for p? (Multiple Answers)
9
8
6
7
Answers
The definite value for p is 9.
But how are 8, 7, or 6 the value of p?
I personally think that you should contact the teacher who made this question. He/She probably meant to say What IS the value for p?
You use algebra to get the value for p:
20p-45 = 9p + 5p
Start solving from there.
How can you represent a proportinoal relationship with an equation
Answers
Answer:
Just be yourself
Step-by-step explanation:
The area of rhombus is 360cmsquare and one of its diagonalis 18cm. Find the other diagonal.
Answers
Answer: 40 cm
So the diagonal formula is - 1/2* (d1*d2) d1 is the first diagonal and d2 is the second diagonal.
So,
1/2 * (18*d2)= 360
18*d2= 360*2
d2= 720/18
d2= 40
answer the question about the following polynomial
Answers
If the cost of 6 sandwiches and 4 drinks is $53 how much is one drink
Answers
Answer: The cost of one drink is $5.30.
Explanation: 6 + 4 = 10, and 53/10 = 5.3, therefore the cost of one drink is $5.30.
Answer:
$5.30
Step-by-step explanation:
6 + 4 = 10
53 / 10 = 5.3
:)
Which number sentence is true?
OA) 5.6 > |-8.91
OB) |-5.6] < |-8.91
OC) -5.6 > 1-8.91
OD 15.6] > 1-8.91
Answers
The first one (when simplify) is
5.6>8.91
Which is not true if you plot it on a number line
The second one (when simplify) is
5.6<-8.91
which is not true because it is the same thing as number 1
The third one (when simplify) is
-5.6>8.91
which is obviously not true since negatives are way smaller than positives
So that leaves us the last one
Thefore the answer is OD.
I hope this helped!!
What's the answer to this?
Answers
•2 apples per horse
•3 apples left over
PLEASE HELP ASAP TENTH GRADE GEOMETRY
Answers
Answer: SU = 4(1) + 1 = 5
Step-by-step explanation:
Since T is on segment SU we know the whole is eqaul to the sum of it’s parts.
ST + TU = SU substitute
3x - 1 + 3x = 4x + 1 simplify
6x - 1 = 4x + 1 solve for x
2x = 2
x = 1
ST = 3(1) -1 = 2
TU = 3(1) = 3
SU = 4(1) + 1 = 5
John earns $6000. He spends $1000 on rent, $1500 on grocery, $500 on travel and saves the rest. What size angle should be drawn on the pie chart to represent his savings? *
Answers
Answer:
$3000
Step-by-step explanation:
6000-1000-1500-500= $3000
A standard die is rolled find the probability that the number rolled is greater than 4 Express your answer as a fraction in lowest terms or a decimal number rounded to three decimal places if necessary
Answers
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
A standard die has 6 numbers, so the probability it will be greater than 4 is 6-4, or 2. Therefore the answer is [tex]\frac{2}{6}[/tex], but this can be simplified to [tex]\frac{1}{3}[/tex].
If 3x-2=11, what is the value of 6x+5? PLS HELP
Answers
Answer:
approximately 31
Step-by-step explanation:
3X-2=11
3x=13
x=13/3 = 4.3
then 6X+5=6×4.3+5 = 30.8 or approximately
What is 6n+5=17
WHAT DOES N EQUAL TOOOOO HELPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEE
Answers
Step-by-step explanation:
Let's solve your equation step-by-step.
6n+5=17
Step 1: Subtract 5 from both sides.
6n+5−5=17−5
6n=12
Step 2: Divide both sides by 6.
[tex]\frac{6n}{6} =\frac{12}{6}[/tex]
[tex]n=2\\[/tex]
I hope this help's :)
Answer:
n = 2
Step-by-step explanation:
[tex]6n + 5 = 17 \\ \: \: \: \: \: \: \ - 5 \: \: \: \: - 5 \\ - - - - - - - \\ \: \: \: \: \: \: \: \: \: \: \frac{6n}{6} = \frac{12}{6} \: \: \: \: \: \: \: \: \: \: \\ n = 2[/tex]
Hope this helps! Brainliest would be really appreciated!
6 divided by 20 write your answer in a decimal form
Answers
Answer:
0.3
Step-by-step explanation:
I just need 20 characters so yeah
Answer:
0.3
Step-by-step explanation:
Determine the intercepts of the line
Answers
Answer:
25, -55
Step-by-step explanation:
Intercepts are where the line crosses the x and y axis
x intercept = 25
y intercept = -55
Giving brainliest
Write the inequality that represents the possible values for x
Answers
Answer:
6x +12 < 10
Step-by-step explanation: