The coordinates of point P that partitions the segment AB in the ratio 1:1 are (4, -1). The calculation is done using the segment partition formula.
Explanation:To solve this problem, we use the formula for finding the point that divides a line segment into a given ratio. The formula is P(x, y) = ((x1*m2 + x2*m1)/(m1+m2), (y1*m2 + y2*m1)/(m1+m2)). Here, points A and B are (13,1) and (-5,-3) respectively, and the ratio m1:m2 is 1:1.
So applying the formula, we have P(x, y) = ((13*1 + -5*1) / (1+1), (1*1 + -3*1) / (1+1)) = (8/2, -2/2) = (4, -1).
So, the coordinates of point P that partitions the segment AB in the ratio 1:1 are (4, -1).
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To find the coordinates of point P that bisects the segment AB in the ratio 1:1, we use the midpoint formula. Substituting the values of points A(13,1) and B(-5,-3) into the formula gives us P(4,-1).
Explanation:The student wants to find the coordinates of point P that would bisect the line segment AB in a 1:1 ratio. Since the ratio is 1:1, point P is the midpoint of the segment. To find the coordinates of the midpoint P, we need to calculate the average of the x-coordinates and the y-coordinates of points A and B.
Using the formula of a midpoint, M(x, y) = [ (x1+x2)/2 , (y1+y2)/2 ], let's substitute the coordinates of points A(13,1) and B(-5,-3).
P(x, y) = [ (13-5)/2 , (1-3)/2 ]
Therefore, the coordinates of point P that partitions the segment AB in the ratio 1:1 is P(4, -1).
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Which unit of measurement would Guatemalans typically use to measure milk for a recipe? a) milliliters b) grams c) ounces d) gallons
2x+3y=-5
3x-5y=21
The value of y that satisfies the system of the equations above is
A) 2
B)7
C) -3
D)There is no solution
Write in standard form 60000+80000+10=
Devaughn's age is two times Sydney's age. The sum of their ages is 30
. What is Sydney's age?
D=2S
D+ S = 30
2s+S = 30
3S=30
S=30/3 = 10
Sydney is 10
Devaughn is 2*10 = 20
What is the value of the expression if z=27 7/9z-18+1/3z
Answer:
The value of the expression is 12.
Step-by-step explanation:
Given : Expression [tex]\frac{7}{9}z-18+\frac{1}{3}z[/tex] , where z=27
To find : The value of expression when z=27
Solution :
Given expression:
[tex]\frac{7}{9}z-18+\frac{1}{3}z[/tex]
Substitute value of z=27
[tex]=\frac{7}{9}(27)-18+\frac{1}{3}(27)[/tex]
[tex]=7\times 3-18+1\times 9[/tex]
[tex]=21-18+9[/tex]
[tex]=21-9[/tex]
[tex]=12[/tex]
Therefore, The value of the expression is 12.
How do variables help you model real-world situations? Give an example of a model that uses variables and explain how it helps people make predictions.
Write down three different improper fractions for the number four
Which expression could be used to determine the product of –4 and 3 1/4?
To determine the product of -4 and 3 1/4, multiply the whole numbers and the fractions separately, and then add the results together.
Explanation:The product of -4 and 3 1/4 can be determined by multiplying the whole number part, -4, by the whole number part of the mixed number, 3, and then multiplying the fraction part, 1/4, by the whole number part of the mixed number and adding the result to the previous product.
So, -4 × 3 = -12
and (-4) × (1/4) = -1
Therefore, the product of -4 and 3 1/4 is -12 - 1/4 = -12 1/4.
To find the product of -4 and 3 1/4, convert the mixed number to an improper fraction and then multiply.
Explanation:The product of -4 and 3 1/4 can be found using the expression:
-4 x 3 1/4
To multiply a whole number by a mixed number, you can convert the mixed number into an improper fraction and then multiply:
-4 x 13/4
Multiplying whole numbers and fractions can be done by multiplying the numerators and denominators separately:
-4 x 13 = -52
4 x 1 = 4
The final answer is -52/4, which simplifies to -13.
Help me quick plz thanks
add 12-3 = 9
the difference is 9
The value of 34 + 6 ⋅ 5 = ___.
Diego wanted to find the 7% sales tax on purchases that total $15.99. On his calculator the display showed $1.1193 as the tax. How much sales tax will Diego pay?
Find the 4th term if the sequend in which a1 = 2 and a n+1 = -4a n + 2.
The area of a square mirror is 256in^2. A rectangular mirror has a width the same as the square mirror's width. Its length is two inches longer than its width. What is the area of the rectangular mirror?
Mariah had owed her grandfather $2.25 but was recently able to pay him back $1.50. How much does Mariah currently owe her grandfather.
Thanks for the points! BTW, I have the same question.
which of the following are valid names for the given triangle ? check all that apply
Answer: B. ΔMLZ
D. ΔLMZ
E. ΔZML
Step-by-step explanation:
In the given picture we have one triangle with three vertices as
Vertex L
Vertex M
Vertex Z
To name a triangle we use the labels of the vertices of the triangle, which are commonly written in capital letters.
When we name a triangle, we can start with any vertex but we need to keep the letters in order as you go around the triangle.
Therefore, the possible names of the triangle are :-
ΔLMZ Δ LZM ΔMLZ ΔMZL ΔZLM ΔZML
You need to cut a 9 foot piece of plywood into 12 inch sections. Every cut also removes 1/8 inch. How much of the plywood will be left after cutting the 12 inch sections?
11 inches of the plywood will be left after cutting the 12 inch sections.
What is Fraction?A fraction represents a part of a whole.
Given that we need to cut a 9 foot piece of plywood into 12 inch sections and every cut also removes 1/8 inch.
We are to find the quantity of plywood that will be left after cutting the 12 inch section.
We know that 1 foot = 12 inches.
So, 9 foot = 12 × 9 = 108 inches.
Since each cut removes 1/8 inch at ever cut, so the number of 12 inch sections will be 8.
Quantity of plywood that remained after cutting the 12 inch sections will be 108-12×8-8×1/8=11
Hence, 11 inches of the plywood will be left after cutting the 12 inch sections.
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How much longer is the hypotenuse
x= sqrt(6^2 +8^2)
sqrt ( 100)
x=10
10-6 = 4
it is 4 feet longer than the shortest leg
Bradley needs to paint a logo made using two right triangles. The dimensions of the logo are shown below. What is the total area of the two triangles that need to be painted?
Two right triangles are attached along their longest side. The smaller triangle has height 6 cm and base 2 cm. The height of the larger triangle is 7 cm, and its base is 3 cm.
Television screens are measured along the diagonal. A certain 53-inch television is 45 inches wide. Which measurement represents the length of the hypotenuse?
Answer:
Step-by-step explanation:
The right answer is 53in
Barry orders a wallet for $12.99, a sweater for $20.99, and a watch for $66.49 from a mail-order catalog. He adds $12.06 for tax, shipping, and handling. What is the total cost of Barry’s order?
Can you help me solve both
#6) 232/15 = 15.4666
sqrt(15.4666) = 3.932
3.932 * 3.932 x 15 = 231.91
so edge is approximately 3.9 m
#7) 232/2 = 116
sqrt(116)=10.770
10.77 * 10.77 * 2 = 231.99
so edge is approximately 10.8 m
Which number makes this sentence true?
21:30=x:50
A. X=30
B. X=32
C. X=35
D. X=41
I've got two of these kinds of problems and no clue how to do them, help please!
SOMEONE PLEASE GIVE ME THE RIGHT ANSWER!
The Baldwin family walked four over five of a mile in four over nine of an hour. What is their unit rate in miles per hour?
A.) four-ninths over four-fifths equals four over nine miles per hour
B.) four-fifths over four-ninths equals one and four-fifths miles per hour
C.) four-ninths over four-fifths equals one and four-fifths miles per hour
D.) four-fifths over four-ninths equals four over nine miles per hour
Answer:
B.
Step-by-step explanation:
4/5 go over 4/9 because you are trying to find the unit rate of miles per hour. Since 4/5 is the mile, put that over 4/9. Then, simply divide the two fractions. Which is 1 over 4/5.
Chase answers 3/4 of his math questions correctly. There were 40 questions on the test.
a. How many did he get right?
b. How many did he miss?
Chase answered 30 questions correctly and missed 10 questions.
Explanation:To find the number of questions Chase got right, multiply the fraction of questions answered correctly (3/4) by the total number of questions (40):
Number of questions answered correctly = (3/4) * 40 = 30
To find the number of questions Chase missed, subtract the number of questions he got right from the total number of questions:
Number of questions missed = 40 - 30 = 10
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Why cant you add the exponnents in the product 12 exponent 3 × 11 exponent 3
Misha used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the tables below: Color of Marble Number of Times Rolled Blue 20 Green 18 Yellow 12 Heads Tails 28 22 Using Misha's simulation, what is the probability of pulling a blue marble and the coin landing tails up?
To solve this problem, let us first remember that probability is:
Probability = number of successful events / number of total events
Now, let us first calculate the probability of getting a blue marble. There are 20 blue marbles out of 50 total marbles, therefore the probability is:
P (blue marble) = 20 / 50 = 0.4
Next, let us calculate for the probability of landing tails up. There are 22 tails success out of 50 times the coin was tossed, therefore the probability is:
P (tails) = 22 / 50 = 0.44
Finally, since we want to find the Probability of getting blue and Probability of landing tails, we multiply the two:
P (blue and tails) = 0.4 * 0.44
P (blue and tails) = 0.176 (ANSWER)
Now if the choices are in fraction:
P (blue and tails) = (20 / 50) (22 / 50) = 440 / 2500
Answer:
The answer is 440/2500
Step-by-step explanation:
Which is not a true statement? A 346.91 < 347 B 586.0041 < 586.0004 C 637.750 = 637.75 D 959.0059 < 959.006
Stuck on this problem
step 2 would be 10
step 4 would be 10x-x = 9x =7
x = 7/9
what is the 8th term of this geometric sequence 6,48,384,3072