Given segment AB with points (-4, 8) and (6,3) respectively. Find the
coordinates of point P that partitions Segment AB in the ratio 3:2. The answer should be entered in the form (x,y) with out any spaces between characters.
Answer:
The answer is "Coordinates of point P= (2,5)"
Step-by-step explanation:
We are familiar with the internal division of AB by point P, i.e. 3:2, [tex]\frac{AP}{PB}= \frac{3}{2}[/tex]
Therefore, we use the internal division formula.
Points:
[tex]\to (-4,8) \ and \ (6,3)\\\\ x_1 = -4\\y_1 = 8\\x_2= 6\\y_2 =3 \\[/tex]
Formula:
[tex]\to x = \frac{(mx_2 + nx_1)}{(m + n)}\\\to y = \frac{(my_2 + ny_1)}{(m + n)}\\\\where,\\\\\to m = 3 \\ \to n = 2[/tex]
Replacing the x coordinate representations of A and B with x, we have
[tex]x = \frac{(3 \times 6 + 2 \times (-4))}{(3 + 2)}\\\\[/tex]
[tex]= \frac{(18 - 8)}{5}\\\\ = \frac{10}{5}\\\\ = 2[/tex]
Replacing the, y coordinate representations of A and B with y, we have
[tex]y = \frac{(3 \times 3 + 2 \times 8)}{(3 + 2)}\\\\[/tex]
[tex]= \frac{( 9 +16)}{(5)}\\\\= \frac{25}{5}\\\\=5[/tex]
The coordinates of point P= (2,5).
Which of the following statements best describes the value of the expression 7x + 6 when x = 5? A. The result is a fraction. B. The result is a prime number. C. The result is a composite number. D. The result is a whole number that is neither prime nor composite.
Answer: B) The result is a prime number
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Explanation:
Replace x with 5. Then use PEMDAS to simplify.
7x+6
7*5+6
35+6
41
The expression 7x+6 is equal to 41 when x = 5.
The value 41 is prime because its factors are only 1 and 41.
Answer:
B
I know this is a year later lol
Get ready for takeoff. Change one number in the equation below to safely land the plane. 01 Press "Submit" to see if the plane lands safely. y = 2x - 7 Submit 0 5 10 -5 (8.891, -3.578) --10
Answer:
Step-by-step explanation:
Since we don't know x, let's come up with our own.
Lets chose 6 for x.
Now, let's plug in 6: y = 2 * 6 - 7
Multiply: y = 12 - 7
Subtract: y = 5
So our first point is (6, 5)
Now lets choose a second x: 5
Plug it in: y = 2 * 5 - 7
Multiply: y = 10 - 7
Subtract: y = 3
So our second point is (5, 3)
Find both of these points and your answer should look like the attached image.
I hope this helped, please mark Brainliest, thank you !!
10
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5
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1
х
0 1 2 3 4
5
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What is the slope?
Answer:
what is that you are trolling
Step-by-step explanation:
Answer:
you do over and then up and see where the line intersects the points
(1,3)
Can you explain how to get that answer do I multiple divide add or subtract please help!!
Answer:
There are 0.5 ounces in 14 grams.
Step-by-step explanation:
Ounce is a larger unit while gram is a smaller unit. When we have to convert from a smaller unit to a larger unit, division is used.
It is also given that
1 ounce = 28 grams
In order to find the number of ounces in 14 grams, it will be divided by 28 grams
So,
[tex]14\ grams = \frac{14}{28} = 0.5\ ounces[/tex]
Hence,
There are 0.5 ounces in 14 grams.
Someone help please
Find the sine of
Answer:
5/13
Step-by-step explanation:
The sine of angle r is opposite over hypothenuse,5/13.
If you need help with sine cosine and tangent just remeber
sohcahtoa This means sine=opposite over hypotenuse, cosine=adjacent over hypotensuse, tangent=opposite over adjacent.
Find -1 5/6 + (-1/3) model the expression on the number line drawing an arrow
Answer:
I hope this helps!
Answer: The answer is in the picture.
Step-by-step explanation: But what is the sum?
14 POINTS PLEASE HELP ME PLEASE
Answer:
god
Step-by-step explanation:
Answer:
1 Solution
Step-by-step explanation:
I
see the image please answer as fast as possible 15 points! also round, please
Answer:
67.7Step-by-step explanation:
perimeter = semicircle (x2) + parallelogram side (x2)
= 1/2 π 12 (x2) + 15 (x2)
= 37.7 + 30
= 67.7
Express in the form 1:n.
Give n as a fully simplified fraction.
12:2
Answer:
1:n
12:2
12÷12:2÷12
Answer ==
1:1
6
Answer: is, 1:1/6 , a fully simplified fraction.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
here, we have,
1:n, the form of expression.
given that,
=>12:2
=>12÷12:2÷12
=>1:1/6
Answer is, 1:1/6.
To learn more on ratio click:
brainly.com/question/13419413
#SPJ2
Instructions: Given the following image of two parallel lines cut by a transversal, find the value of x.
Answer:
First, these angles are alternate interior angles.
[tex] 10x - 5 = 9x + 1 [/tex]
[tex] x = 6 [/tex]
Step-by-step explanation:
(10x - 5)° and (9x + 1)° are alternate interior angles. Thus, they are congruent to each other.
Thus, to find x, we will set each angle equal to the other.
[tex] 10x - 5 = 9x + 1 [/tex]
Solve for x. Collect like terms
[tex] 10x - 9x = 5 + 1 [/tex]
[tex] x = 6 [/tex]
A group of 100 students were surveyed about their interest in a new Economics major. Interest was measured in terms of high, medium, or low. In the study, 30 students responded high interest, 50 students responded medium interest, and 20 students responded low interest. What is the best way to illustrate the percentage of student interest
Answer:
Pie chart
Step-by-step explanation:
Pie Chart - This physically portrays information as a decimal number of a whole, and may be a powerful authentication scheme for the uninformed public. It helps the viewer to see a collection of results at a glance in order to do an instant review or easily interpret details.
3 1/3 - 2 7/12 Please help me sorry
Answer:0.75
Step-by-step explanation:
If the graph of the function f has a multiple zero at x = 2, what is a possible exponent of the factor x - 2? Justify your reasoning.
Answer:
[tex](x-2)^2[/tex]
The exponent is 2.
Step-by-step explanation:
Remember multiplicity rules:
If a factor has an odd multiplicity (e.g. it is raised to 1, 3, 5...) then it will cross the x-axis. If a factor has an even multiplicity (e.g. it is raised to 2, 4, 6...) then it will bounce off the x-axis.At x=2, we have the factor (x-2).
From the graph, we can see that the graph bounces off at that point.
Hence, the multiplicity of (x-2) must be even.
Therefore, a possible exponent for the factor (x-2) is 2. Any even number will suffice.
COMPLETE THE TABLE PICTURED: A robot is put into a maze, it can only go N, E, S, and West. The value i represents the north, and the magnitude is equal to 1. I have figured out that N= i, East= 1, South= -i, and West= -1. When programming the robot, let the complex number d represent the direction the robot is facing. As the robot changes direction, the value of d will also change; so, the value of d is dependent on where the robot is in the maze. When the robot makes a turn, it would be useful to have an operation to perform on d to represent this turn. This is because after making a turn, the new value of d will depend on the old value of d. Complete the table for the new values of d if the robot is turning left or right. Then determine an expression in terms of d that will give the new position if the robot turns left and another expression if the robot turns right. Type these expressions in the last row of the table.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
A right turn represents a clockwise rotation of the direction vector by 90°. It is equivalent to multiplying the complex number representation by -i.
A left turn represents a counterclockwise rotation of the direction vector by 90°. It is equivalent to multiplying the complex number representation by i.
The attached table shows the desired values and expressions.
Step-by-step explanation:
[tex]\boxed{\begin{array}{c|c|c} \underline{Intial -d} & \underline {Left-turn} & \underline{Right-turn} \\ -1 & -i & i \\ 1 & i & -i \\ i & -1 & 1\\ -i & 1 & -1 \\ d & di & -di \end{array}}[/tex]
find the least common multiple of 10, 5, and 3.
Answer:
The LCM of 10, 5 and 3 is 30.
What is the answer to this? Plz answer! It's due tomorrow!!!!!
Answer: the third answer (C)
Step-by-step explanation:
Simplify the expression
Answer:
option A -3r^6 s^14
Step-by-step explanation:
(-3r^4 s^7/r)^2
(-3r^3 s^7)^2
-3r^6 s^14
-TheUnknownScientist
Let f(x) represent the weight of the jar when there are x marbles, where f(0)=10. Which equation correctly represents f(x) in terms of f(x−1) for all x>0?
A
f(x)=3⋅f(x−1)
B
f(x)=f(x−1)+3
C
f(x)=f(x−1)+3x
D
f(x)=f(x−1)+2x+1
Answer:
B
Step-by-step explanation:
We essentially have the sequence:
10, 13, 16, 19, 22,25...
This is an arithmetic sequence because each subsequent term differs only by a constant.
And this constant, the common difference, is +3 since each subsequent term is 3 more than the previous term.
Hence, we can write a recursive formula for our sequence.
We will first define our first term. The first term, at x=0, is 10. Hence:
[tex]f(0)=10[/tex]
Each term, x, is +3 the previous term (x-1). Therefore:
[tex]f(x)=f(x-1)+3[/tex]
Hence, our answer is B.
Answer:
B
Step-by-step explanation:
f(x)=f(x-1)+3x
Select the correct answer. Simplify the following expression. x-2/3 times x 6/7
Answer:
4/7
Step-by-step explanation:
Answer: Correct Answer is X 4/21
Step-by-step explanation: I got it right
Solve for x. Please help quick, it’s my last question for my test
Answer:
x = 9
Step-by-step explanation:
84 + (7x + 5) + (180 - (17x-1)) = 180
84 + 7x + 5 + (181 - 17x) = 180
270 + (-10x) = 180
90 = 10x
x = 9
Ashely spent half of her weekly allowance at the movies. To earn more money her parents let her clean the windows in the house for $7. She cleans 5 windows in the house. What is her weekly allowance if she ended with $50?
Answer:
Her weekly allowance is $30
Step-by-step explanation:
Slope is 2, and (5, 3) is on the line.
Answer:
3 = 2(5) + b
Step-by-step explanation:
Equation for a slope is y=mx+b.
Y = Y-value on the graph
M = The slope
X = X-value on the graph
B = Y-intercept
If the coordinates are ( x, y )
Then that must mean that x = 5 and y = 3 because the numbers would replace the variables in the same order
The B-value is unknown for now but you are able to find it by solving this algebraically.
3=2(5) + b
3 = 10 + b
-10 = -10 + b
-7 = b
Because the 10 and the -10 would cancel each other. Leaving you with only -10 on the other side.
I hope that this helps.
Help needed Write a formula that expresses the remaining length of the candle in inches, r, in terms of the burned length of one end of the candle (in inches), x.
Please asking for help thanks!
How is 1.03 written as a percent?
Answer:
103%
Step-by-step explanation:
It doesn't matter if the number is bigger than 100 in math my teacher told me.
Please say my answer was the most helpful. I want to have a brainliest.
The blue dot is at what value on the number line?
Answer:
the blue dot is at -19 on the number line
Step-by-step explanation:
4x+8
2x +3
Find a single expression that represents the perimeter of the rectangle.
A)
2x + 5
B)
4x + 10
C)
6x + 11
D)
12x + 22
Answer:a
Step-by-step explanation:
4. Two more than a certain number is 15 less
7
8
than the product of and the number.
Answer:
Equation: x + 2 = 7/8x - 15
Solution: x = -136
Explanation:
x + 2 = 7/8x - 15
2 + 15 = 7/8x - x
17 = 7/8x - 8/8x
17 = -1/8x
17 × -8 = x
-136 = x
NY Giants quarterback, Eli Manning’s rating for the 2014 season given the following stats: 601 attempts, 379 completed passes, 32 touchdowns, 10 interceptions, and 4,415 yards. (Round all answers to the nearest tenths)
601 attempts = 600
379 completed passes = 380
32 touchdowns = 30
10 interceptions = 10
4,415 yards = 4,420