Answer:
Step-by-step explanation:
x distance from A to B
6 - (-2) = 8
3/5(8) = 24/5 = 4.8 or 2/5(8) = 16/5 = 3.2
-2 + 4.8 = 2.8 6 - 3.2 = 2.8
y distance from A to B
1 - (-4) = 5
3/5(5) = 3 or 2/5(5) = 2
-4 + 3 = -1 1 - 2 = -1
P = (2.8, -1)
The coordinates of point P (rounded to one decimal place) along the directed line segment AB are approximately (2.8, -1).
Given that the line segment has been divide into ratio 3:2 by a point P, we need to find the coordinates of the point P.
To find the coordinates of point P along the directed line segment AB, such that the ratio of AP to PB is 3 to 2, we can use the concept of section formula in coordinate geometry.
Let's assume the coordinates of point P are (x, y). According to the given information, the ratio of AP to PB is 3 to 2. This means that the distance between A and P (AP) is three times the distance between P and B (PB).
The section formula states that if a point P(x, y) divides the line segment joining points A(x₁, y₁) and B(x₂, y₂) in the ratio m:n, then the coordinates of point P can be calculated as:
x = (mx₂ + nx₁) / (m + n)
y = (my₂ + ny₁) / (m + n)
In this case, m = 3 and n = 2.
Coordinates of A: (x₁, y₁) = (-2, -4)
Coordinates of B: (x₂, y₂) = (6, 1)
Ratio m:n = 3:2
Now, let's plug the values into the section formula to find the coordinates of P:
x = (3 · 6 + 2 · (-2)) / (3 + 2)
= (18 - 4) / 5
= 14 / 5
= 2.8
y = (3 · 1 + 2 · (-4)) / (3 + 2)
= (3 - 8) / 5
= -5 / 5
= -1
So, the coordinates of point P is (2.8, -1).
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helpppp!! whats the answer
Answer:
i think it is 13
Step-by-step explanation:
You take the square root of a2 + b2 and the result is the length of the hypotenuse
Michael is constructing and selling birdhouses for a school fundraiser. In order to pay 12b − 120 ≥ 2, 400 b
his expenses, he must satisfy the inequality , where represents the number of birdhouses.
What is the least amount of birdhouses Michael must sell to pay his expenses?
Answer:
The answer is 120
Step-by-step explanation:
pls look at attached picture i have tried asking many and no one can explain it to me
Answer: a = 0.98
Explanation: For this case we have the following table:
x | P(x)
0| 0.1296
1| 0.3456
2| 0.3456
3 | 0.1536
4| 0.0256
We can find the expected value as:
E(X)= 0*0.1296 + 1*0.3456+ 2*0.3456+ 3*0.1536+ 4*0.0256= 1.6
Now we can find the second moment like this:
E(X^2)= 0^2*0.1296 + 1^2*0.3456+ 2^2*0.3456+ 3^2*0.1536+ 4^2*0.0256= 3.52
And the variance is given by:
Var(X)= E(X^2)- [E(X)]^2 = 3.52 -(1.6^2)=0.96
Then the standard deviation is:
Sd(X)= sqrt(0.96)=0.98
What should be the first step to solve the equation?
2x + 9(x - 1) = 8(2x + 2) - 5
O Combine like terms on each side of the equation.
O Use the distributive property on each side of the equation.
Use the subtraction property of equality to subtract 5 from each side of the equation.
Use the addition property of equality to add 2x to each side of the equation.
Answer:
Your answer would be to Use the distributive property on each side of the equation.
Step-by-step explanation:
You would first expand the equation by using the distributive property on each side of the equation
[tex]2x + 9(x - 1) = 8(2x + 2) - 5\\2x + 9(x) 9(-1) = 8(2x) 8(2) - 5\\2x + 9x-9 = 16x+16 - 5[/tex]
Then you would combine like terms on both sides
[tex]2x+9x-9=11x-9\\16x+16-5=16x+11[/tex]
Now you solve for x
[tex]11x-9=16x+11[/tex]
You subtract 11x from both sides
[tex]11x-9=16x+11\\-11x=-11x[/tex]
Then you subtract 11 from both sides
[tex]-9=5x+11\\-11=-11[/tex]
Then you divide 5 on both sides
[tex]-20=5x[/tex]
[tex]\frac{-20}{5} =\frac{5x}{5}[/tex]
[tex]x=-4[/tex]
Answer:
B
Step-by-step explanation:
Explain why the expressions
10 • 16 + 5 and (10 • 16) + 5 are equivalent.
Answer:
These two equations are equivalent because the order of operations states you work from the right to the left and do the multiplication first. Because we do the multiplication first, we get the same answer as the other equation because the parentheses are also done first, meaning these equations both get the same answer.
Step-by-step explanation:
A club is participating in a clothing drive. They receive 17 coupons to a pizza place for participating in the drive. For every 60 articles of clothing collected, they will get an additional 11 tickets.
A) Write an equation relating the articles of clothing collected and number of coupons collected using the variables A and C
Answer:
736
Step-by-step explanation:I am dum
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when 3x² - 2x + 1 is subtracted from 2x² +7x + 5, the result will be?
Answer:
-x²+9x+4
Step-by-step explanation:
Hope this helps!
Answer:
-x^2+9x+4
Step-by-step explanation:
2x² +7x + 5
- 3x² - 2x + 1
-x^2+9x+4
suppose the area of a rectangle is (6x²-7x+14) square units. If its width is (2x-5) units, what expression represents its legth? how about its perimeter?
Need help.
Answer:
Length= 6x²-5
P=12x²+4x+20
Step-by-step explanation:
A=L×W
L=A/W
L=(6x² - 7x + 14)/(2x-5)
L=6x²-5
P= 2 (L+W)
P= 2[(2x-5)+(6x²-5)]
P=12x²+4x+20
PLEASE HELP ME ILL MARK BRAINLIEST !!!!! spam reported
Answer:
2, 32
Step-by-step explanation:
The question is asking where X could be (what value it could have) to make it 15 away from W, making a line segment of that length if they were to be connected. This can be solved by individually adding and subtracting 15 to/from the value of W: 17. Adding 15 to 17 gives you 32, while subtracting gives you 2, and X could be either of these, so your answer is 2, 32. (It's common to order them in increasing order, but you shouldn't be marked off if you do it in reverse.)
solve????????????????
Answer:
The answer is 11/2 or 5 1/2
Step-by-step explanation:
11 × 1/2 = 11/2 = 5 1/2
Thus, The answer is 11/2 or 5 1/2
-TheUnknownScientist 72
What does X equal X=?
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol. See: Variable.
A regular polygon has a perimeter of 42 feet. Each side of the polygon measures 7 feet. what is the name of the polygon?
Answer:
hexagon
Step-by-step explanation:
42/7 = 6
Hexagon has six sides
which area of the rectangle is correct?
Answer:
THE LAST ONE 3/2/3 is the answer give brainliest
Q7. Ezri can type 600 words in 8 minutes. How many words can she type in 11
minutes?
Answer:
Step-by-step explanation
Did you mean "How long will it take Johnny to TYPE a 2100 word essay?
If so, do the following:
Let x = the number of minutes to type a 2100 word essay
600/8 = 2100/x
600x = 16,800
x = 28 minutes
Can anybody help????
Answer:
x = 110° (vertically opposite angel)
Answer:
[tex]x = 110[/tex]
vertical angel are opposite side are equal ( = )
A school has 19 tables in the cafeteria. Each table seats 24 students. What is the greatest number of students that can be seated at these tables?
Answer:
456
Step-by-step explanation:
19 * 24 = 456
Math expert please
Factor this completely
Answer:
4(x -4)(2x +1)
Step-by-step explanation:
8x² -16 -28x , rearrange it so the exponents will be going form highest to lowest
8x²-28x -16, factor 4
4(2x² -7x -4),
to get 2x² we need to multiply an x and a 2x
to get -4 we need to multyply 1 and -4 or -1 and 4 or 2 and -2 (can use trial and error method here)
4(x -4)(2x +1)
Check
4(x-4)(2x+1) = (4x -16)(2x+1) = 8x² +4x -32x -16 = 8x²-28x -16
(7x - 5)
(10x + 15)
+
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Mark this and return
Save and ??
Answer:
b║c
c║d
Step-by-step explanation:
For x=10, the marked angles are ...
(7x-5)° = (70 -5)° = 65°
(10x +15)° = (100 +15)° = 115°
(12x -5)° = (120 -5)° = 115°
(8x -25)° = (80 -25)° = 55°
We notice that the alternate interior angles between lines c and d are congruent, so those lines are parallel. The acute angle at line b is supplementary to the obtuse angle at lines c and d, so line b is parallel to those two lines, as well.
The angle at line e is not related to any of the other angles, so that line is not parallel to any of the others shown.
b║c║d
The answer choices appear garbled, but any choice involving 'a' or 'e' must be eliminated.
Mackenzie is playing a game with friends. Her score
at the end of round one wes 32 points. In round two,
she gets the question wrong and loses 75 points. How
many points does Mackenzie have at the end of round
Answer:
-43
Step-by-step explanation:
32 points minus 75 points is -43
There are 54 students in a class. The Venn diagram below shows how many students play a sport, take a foreign language, do both, or do neither.
Complete the following two-way frequency table.
Answer:
Hope this helps, please mark brainliest that means a lot to me thanks! :)
Step-by-step explanation:
Take language 21 | 17
Doesn't take language 12 | 4
Calculate the new selling price of an item worth $45.50 with 12% discount.
Answer:
40.04
Step-by-step explanation:
45.50÷100×12
=5.46
45.50-5.46
=40.04
Give BRAINLIST pls
Please please help please please help me please please help please please help me I REALLY NEED HELP PLEASE
Answer:
6789
Step-by-step explanation:
4/3 x 1/2 = 4/3 ÷ Can you please help me with this? I’d appreciate it.
Answer:
[tex]\mathsf{\frac{4}{3} \:\times\frac{1}{2}\: =\: \frac{4}{3} \:\div\frac{2}{1}}[/tex]
Step-by-step explanation:
The mathematical operation of division is the opposite of multiplication. When you divide two fractions, you will have to take the reciprocal of the divisor, and multiply it with the dividend.
In the given equation, [tex]\mathsf{\frac{4}{3} \:\times\frac{1}{2}\: =\: \frac{4}{3} \:\div\:?}[/tex], we can rewrite this as: [tex]\mathsf{\frac{4}{3} \:\div\:?\:=\:\frac{4}{3} \:\times\frac{1}{2}}[/tex].
As previously mentioned, division is opposite of multiplication. Since the multiplicand in the multiplication of two fractions is ½, then we can assume that the divisor (or the missing fraction) must be the reciprocal of ½, which is [tex]\mathsf{\frac{2}{1}\:or\:2}[/tex].
Therefore, the missing fraction that completes the given mathematical statement is [tex]\mathsf{\frac{2}{1}\:or\:2}[/tex].
[tex]\mathsf{\frac{4}{3} \:\times\frac{1}{2}\: =\: \frac{4}{3} \:\div\frac{2}{1}}[/tex]
If you start at –3 tenths of a unit and then move right 4 tenths of a unit, where do you end up?
Answer:
I don't know what to do with it
What is the length of the longest side of the triangle if the left side is 2x+12 and the bottom number is 6x-2 and the right side is 5x-9
Answer:
Depends on the value of x. If x = 3, the triangle has sides 18, 6, 16 which satisfies the triangle inequality, so 2x+12 is longest in this case. If x is very large, the triangle inequality is still satisfied, and 6x-2 is the longest side.
Step-by-step explanation:
The perimeter of a rectangle is at least 32 cm. The length of the rectangle is 9 cm. What are the possible widths of the rectangle? Show your work.
Answer:7 on both sides all together 14
Step-by-step explanation:32 is length and width combined so 18 all together for width which leaves 14 cm for width so both sides are 7
Answer:
width ≥ 7 cm
Step-by-step explanation:
The perimeter formula is ...
P = 2(L +W)
We have P ≥ 32 and L = 9. We want to find W. (Dimensions are cm.)
2(9 +W) ≥ 32 . . . . substitute for P and L
2W ≥ 14 . . . . . . . subtract 18 and simplify
W ≥ 7 . . . . . . . . . divide by 2
Possible widths are at least 7 cm.
If Betty makes monthly deposits at the end of each month in an account that earns 8% interest compounded monthly,
(a) How much would she have to deposit every month in order to have $40,000 in the account in 9 years? $
(b) Find her total balance in the account at the end of three months. $
(c) Find the total amount of interest that she's earned after the 9 years. $
9514 1404 393
Answer:
(a) $254.08
(b) $767.34
(c) $12,449.36
Step-by-step explanation:
These questions are best answered by a financial calculator or app. Such are available for your phone or tablet. A spreadsheet also has built-in functions for making these calculations.
(a) FV = $40,000, i = 8% per year, n = 9 years (108 months), compounding 12 times per year. The monthly deposit needs to be $254.08.
__
(b) Payment = $254.08, n = 3 months, i = 8%/year, compounding 12 times per year. FV = $767.34.
__
(c) The sum of 108 payments of $254.08 is ...
108 × $254.08 = $27,440.64
The interest earned is enough to bring the account value to $40,000, so is ...
$40,000 -27,440.64 = $12,559.36
_____
Additional comment
The amount $254.08 is rounded down to the nearest cent, so the balance after 9 years will be $39,999.70, which is $0.30 short of $40,000. We used $40,000 as the final account balance, so overestimated the interest by $0.30.
There may be additional small changes in the values if you round interest to the nearest cent each month the way a financial institution would. It is hard to tell in these problems how accurate you're intended to be in your calculations.
Out of the 50 students in Mrs. Green's class, 9 have a pet. What percent of the students in Mrs. Green's class have a pet?
The percent of students in Mrs. Green's class that have a pet is_____%
Answer:
4.5% i think reason usually percent is compared in 100% and out of 100 10 means 10 % so 4.5 is the answer
Answer:
18%
Step-by-step explanation:
9÷50×100 = 18%
9 means how many students have pets
50 means how many students are in Mrs. Green's class
18% is how many students that have a pet in Mrs. Greens class
(02.03 MC) The figure shows two triangles on a coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair negative 4, 1 vertex B on ordered pair negative 3,1, and vertex C on ordered pair negative 4, 4. Another triangle A prime B prime C prime is shown with vertex A prime on ordered pair 4, 4, vertex B prime on ordered pair 3, 4, and vertex C prime on ordered pair 4,1. What set of transformations is performed on triangle ABC to form triangle A′B′C′? (5 points) Group of answer choices A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units down A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units to the right A translation 5 units to the right, followed by a 270-degree counterclockwise rotation about the origin
Answer:
Step-by-step explanation:
A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin
Step-by-step explanation:
The figure is obviously rotated 180°. If the rotation is first, the image would be in the 4th quadrant, where it would stay after translation downward.
If the translation is downward first, it would be in the 3rd quadrant, moving to the first quadrant after rotation by 180°. This is the apparent sequence of transformations:
At a deli counter, there are 9 sandwiches with meat and 10 vegetarian sandwiches. Diane is at the counter buying sandwiches for a picnic. In how many ways
can she choose 9 sandwiches if 7 or more must be vegetarian sandwiches?
Answer:
Step-by-step explanation:
three ways
1) all 9 are veg
2) 8 are veg and 1 has meat
3) 7 are veg and 2 have meat
There are 3 different ways of choosing 9 sandwiches if 7 or more must be vegetarian sandwiches
What is Combination?An arrangement of objects where the order in which the objects are selected does not matter.
Given that at a deli counter, there are 9 sandwiches with meat and 10 vegetarian sandwiches.
9 -Meat sandwiches
10 - veg sandwiches
Diane is at the counter buying sandwiches for a picnic.
we need to find in how many ways can she choose 9 sandwiches if 7 or more must be vegetarian sandwiches
There are 3 different ways of choosing 9 sandwiches.
All 9 are vegetarian sandwiches
8 are vegetarian sandwiches and 1 is meat sandwiches
7 are vegetarian sandwiches and 2 are meat sandwiches
Hence, there are 3 different ways of choosing 9 sandwiches if 7 or more must be vegetarian sandwiches
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