What is the terminal point of the vector a = (2,4) based at P = (3, 4)?
Answers
Explanation:
Start at the point (3,4) which is the tail of the vector. We move 2 units to the right and 4 units up to arrive at (5,8) due to the vector a = <2,4>. Effectively, we're using the translation rule [tex](x,y) \to (x+2,y+4)[/tex]
In other words, we add 2 to the x coordinate and add 4 to the y coordinate of the point (3,4) to move to (5,8)
Related Questions
How many Solutions does 6 + x/5 = x/5 - 5 - 3x/10 have?
Answers
9514 1404 393
Answer:
1 solution (x = -36 2/3)
Step-by-step explanation:
6 + x/5 = x/5 - 5 - 3x/10 . . . . . . . given
60 +2x = 2x -50 -3x . . . . . . . . . multiply by 10
3x = -110 . . . . . . . . . . . . . . . . add x-60 to both sides
x = -110/3 = -36 2/3 . . . . . .divide by the coefficient of x
There is one solution to the equation.
_____
Additional comment
The coefficient of x on the left side of the equation is not equal to the coefficient of x on the right side. When that is the case, the equation will have one solution.
When the coefficients are equal, there will be no solutions if the constants are different, and there will be infinite solutions if the constants are the same.
what is the best estimate of 97/7 and 1 3/4
Answers
Answer:
next question nexy question
What is the slope of the line that passes through the points (6, -10) and (3, -13)?
Write your answer in simplest form.
Answers
[tex](x_1, y_1) = (6,-10),~~ (x_2, y_2) = (3,-13)\\\\\\\text{Slope,}~ m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-13 +10}{3 -6} =\dfrac{-3}{-3} =1[/tex]
help me with this calculation
(X-1).(1-x)
Answers
[tex](x-1) (1-x)\\\\=(x-1)(-1)(x-1)\\\\=-(x-1)^2\\\\=-(x^2- 2x +1)\\\\=-x^2+2x-1[/tex]
Yesterday, there were 96 problems assigned for math homework. Hanson got 72 out of 96 problems correct. What percentage did Hanson get correct?
Answers
Answer:
He got 75% correct
Step-by-step explanation:
72/96 = 3/4 = 0.75
0.75 × 100 = 75%
Simplify: 8√3 + 12√3
Answers
Answer:
20√3
Step-by-step explanation:
-0.15 as a mixed number
Answers
Answer:
A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number. It is partly a whole number. It is partly a fraction.
How can you express (15 + 30) as a multiple of a sum of whole numbers with no common factor?
A. 2 x (7.5 + 15)
B. 3 x (5 + 10)
C. 5 x (3 + 6)
D. 15 x (1 + 2)
Answers
Answer:
13 24 56 23 56 78 166 Yan Lang po thank
Which of the following is a solution to the given equation? y = -3x - 7
Answers
Answer:y = 3(-2) - 7
Step-by-step explanation:
Use the figure below to find the values of x and y
Answers
Answer:
x=40° and y=50°
Step-by-step explanation:
45°+50°+2x+5=180°
100°+2x=180<-- subtract 100 to get x on one side
2x=80
x=40. Thus 2(40)+5 = 85.
85°+55°+x°=180
140°+x=180
x=40°
40°+90°(right angle)=130°, so 180 -130 would equal 50.
y=50°
For the right angle shown, the length of two sides are given. Find the third side. Leave your answer in simplified, radical form.
b=9, c=16
a=
Answers
Answer:
a is about 13.2
Step-by-step explanation:
the formula for this type equation is a²+b²=c²
plug in the numbers to make the equation a²+9²=16²
do the multiplication and it gives u a²+81=256
subtract 81 from both sides and a²=175
take the square root of both sides and it gives u 13.22
314. Find the area under the graph of f(t) = t/(1+t^2) where t is
between t= 0 and t = x. where a > 0 and a does not equal 1 is
fixed, and evaluate the limit as x → .
Infinity
Answers
Answer:
Check the attached image for the sake of my sanity typing integrals in these.
Notes on the red marks.
1. From the first to the second passage I multiplied top and bottom by 2. The bottom one stood outside the integral by linearity, the top got inside to get the derivative of the denominator.
2. Quick y substitution, it's a dy/y which should get integrated as the logarythm of the absolute value. This is a situation where you can skip it since you know that you are dealing with positive values (1 is positive, and 1 plus something squared is even greater than 1 which was positive already).
The area as x diverges also diverges
If u=log(x3+y3+z3-3xyz)show that d2u/dx2+d2u/dy2+d2u/dz2=-3/(X+y+z)^2
Answers
4. When you _________ the problem, it makes it easier to understand how you solved it.
Answers
Answer:
When you explain the problem, it makes it easier to understand how you solved it.
I hope this helped at all.
Which inequality is graphed below?
A- y<1/4x-1
B- y>1/4x-1
C- y<_ 1/4x-1
D- y>_ 1/4x-1
Answers
Step-by-step explanation:
It is represented by ,
=> y ≥ 1/4x -1
In a class of 25 students, 15 are female and 16 have an A in the
class. There are 12 students who are female and have an A in the
class. What is the probability that a student has an A given that
а
the student is female?
Answers
Work Shown:
m = number of girls who have an A = 12
n = number of girls in the class = 15
probability = m/n = 12/15 = (3*4)/(3*5) = 4/5
40% of the students in mr. Watsons class speak a second language. If 10 students speak a second language how many students are in mr. Watsons class
Answers
Answer:
25 students are in mr. Watsons class.
Step-by-step explanation:
10/40=.25, so 25 students
Any help would be great!
Answers
Answer:
Step-by-step explanation:
67.5
The triangle is to be reduced by a ratio of 1:2.
a
Answers
Answer:
where is the triangle?
Step-by-step explanation:
4m 10m - - The accompanying figure is a water tank whose radmis is 4m and height 10m. 4.1 Determine the total surface area of the tank. (3)
Answers
Answer:
45789932
Step-by-step explanation:
3456899954433222222344577890009
Samuel wants to use his earnings from Monday and Tuesday to buy some batteries that cost 5.60 each how many batteries can samuel buy
Answers
Answer:
i cannot answer this because i do not know hw much money he has made.
Step-by-step explanation:
This is a question I need help with
Answers
Answer:
55
Step-by-step explanation:
180=35+90+m∠3
If the principal is $3,200.00 and the rate of interest is 8%, what is the final account balance after 3 years
Answers
Answer:
i think it would round to 4031.08
Step-by-step explanation:
3200.00 * 1.08^3
=4032.0784
A bear cub weighs 10 pounds at birth, and it gains an average of 5 pounds every month.
Answers
Answer:
Just keep adding 5 for each month.
Step-by-step explanation:
10 + 5 = 15
15 is first month
20 second
25 third
30 fourth
35 fifth
40 six
etc.
Equation :
10 + (5m)
m = number of months that have passed by.
Mr. Williams bought a plot of land for $ 40 000. The value of the land appreciated by 7% each year.
Answers
Answer:
no
Step-by-step explanation:
is 2k(2k-4) odd or even?
Answers
Answer: Even
Step-by-step explanation:
Because it shows that the is 2k
the even numbers 2k+2,2k+4,...,4k,4k+2
Billie bikes 9 miles in 45 minutes. At this rate, how many miles can he bike in 90 minutes?
Answers
Answer:
18 miles
Step-by-step explanation:
9 miles : 45 minutes
? miles : 90 minutes
45 x 2 = 90 minutes
9 x 2 = 18 miles
Rope that is cut 3/4 in length is cut into 2 pieces how long is each piece
Answers
For this question we can use the rules of multiplying fractions: 3/4 times 1/2
3 times 1 = 3
4 times 2 =8
The answer is 3/8 or 0.375
The 4:25 bus to the metro airport has a travel time of 1 hour and 45 minutes. The bus is running late today though. What will be the arrival time to the airport?
Answers
Step-by-step explanation:
what is that ? another drug or other crime gang secret message to each other ?
as you did not specify how much delayed it is, the answer can only be : late.
no link or bot q bpe
Answers
Answer:
(3,7)
Step-by-step explanation:
n will be located in x positive , y positive