Answers
Answers:
<-6,8> <-3,3> <12,12> <21,4> <18,22> <17,30> <-36,-38> <16,20>===========================================================
Work Shown:
Problem 1
u = <-3,4>
2u = 2*<-3,4>
2u = <2(-3), 2(4)>
2u = <-6,8>
Effectively, we multiplied each coordinate by 2.
-----------------
Problem 2
g = <-1,1>
3g = 3*<-1,1>
3g = <3(-1),3(1)>
3g = <-3,3>
Same idea as problem 1, but we tripled each coordinate.
-----------------
Problem 3
z = <-3,-3>
-4z = -4*<-3,-3>
-4z = <-4(-3),-4(-3)>
-4z = <12,12>
-----------------
Problem 4
v = <6,8>
2v = <12,16> .... double both coordinates
u = <-3,4>
3u = <-9,12> .... triple both coordinates
2v-3u = <12,16>-<-9,12>
2v-3u = <12-(-9),16-12>
2v-3u = <12+9,16-12>
2v-3u = <21,4>
I subtracted the corresponding coordinates.
The general rule is <a,b>-<c,d> = <a-c,b-d>
-----------------
Problem 5
y = <1,1>
6y = <6,6> .... multiply each coordinate by 6
v = <6,8>
2v = <12,16>
6y+2v = <6,6>+<12,16> = <6+12,6+16> = <18,22>
This time we add the corresponding coordinates after scaling up the given vectors.
The general rule is <a,b>+<c,d> = <a+c,b+d>
-----------------
Problem 6
u = <-3,4>
v = <6,8>
3v = <18,24>
y = <1,1>
2y = <2,2>
u+3v+2y = <-3,4>+<18,24>+<2,2>
u+3v+2y = <-3+18+2,4+24+2>
u+3v+2y = <17,30>
-----------------
Problem 7
g = <-1,1>
4g = <-4,4>
y = <1,1>
A = 4g+y = <-4,4>+<1,1> = <-4+1,4+1> = <-3,5>
z = <-3,-3>
v = <6,8>
5v = <30,40>
B = z-5v = <-3,-3> - <30,40> = <-3-30,-3-40> = <-33,-43>
A+B = <-3,5>+<-33,-43> = <-36,-38>
-----------------
Problem 8
u = <-3,4>
v = <6,8>
2v = <12,16>
A = u+2v = <-3,4>+<12,16> = <-3+12,4+16> = <9,20>
w = <8,-1>
g = <-1,1>
B = w+g = <8,-1>+<-1,1> = <8+(-1),-1+1> = <7,0>
A+B = <9,20>+<7,0> = <9+7,20+0> = <16,20>
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Answer:
17,576,000 different combinations possible.
Step-by-step explanation:
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Select two answers.
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As x approaches infinity, we see that y also approaches infinity. This means that the 5th option with the two sentences stating this is correct.
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Answers
Answer:
2:3
2 to 3
or a fraction bar
Step-by-step explanation:
Answer:
In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3).
3 different ways you can write that ratio-
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2) 4:3
3) 4/3 (fraction)
Step-by-step explanation:
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There. Someone help pls.
Answers
Answer:
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0 6. What is the constant of proportionality for the set of data in the table? 10 8 2 Hours 70 56 42 14 Miles 48
Answers
Answer:
k = 7
Step-by-step explanation:
The constant of proportionality k is calculated as
k = [tex]\frac{miles}{hours}[/tex]
Using the values from the table , then
k = [tex]\frac{14}{2}[/tex] = [tex]\frac{42}{6}[/tex] = [tex]\frac{56}{8}[/tex] = [tex]\frac{70}{10}[/tex] = 7
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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
a total materials variance is analyzed in terms of
Answers
price and quantity variances.
quantity and quality variances.
buy and sell variances.
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Help a sis out ??
Write a function rule for the area of a triangle whose height is 4 in, more than twice the length
of its base. What is the area of the triangle when the length of its base is 16 in.?
A. A = 262 + b
C. A = 262 + b
A = 144 in?
A = 528 in.
B. A = b2 + 2b
A = 288 in
D. A = 262 + 4b
A = 576 in
O
D
B.
C
SES
Answers
Answer:
B
Step-by-step explanation:
let base be b then height h = 2b + 4
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ) , then
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A = b² + 2b
When b = 16 , then
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David is deciding between two parking garages. Garage A charges an initial fee of $7 to park plus $3 per hour. Garage B charges an initial fee of $4 to park plus $4 per hour. Let A represent the amount Garage A would charge if David parks for t hours, and let B represent the amount Garage B would charge if David parks for hours . Write an equation for each situation , in terms of t, and determine which garage would be cheaper if David needs to park for 2 hours .
Answers
Answer:
Step-by-step explanation:
Garage A = 7+3t
Garage B = 4+4t
Garage A = 7+6
Garage B = 4+8
B = Cheaper
Answer:
A = 3t + 7, B = 4t + 4, B is cheaper
Step-by-step explanation:
A = 3(2) + 7 = 6 + 7 = 13
B = 4(2) + 4 = 8 + 4 = 12
To make cherry trail mix, Sebastián needs 4 oz of nuts for every 3 oz of dried
cherries. To make sunflower trail mix, he needs 5 oz of nuts for every 2 oz of
sunflower seeds. Can Sebastián make more cherry trail mix or sunflower trail mix
with 20 oz of nuts? Show your work.
Answers
The number of servings that can be obtained from the 20 oz of nuts is given by the number of 4s and 5s in 20.
Sebastian can make more cherry trail mixReasons:
The given recipe are;
1 cherry trail mix = 4 oz. of nuts + 3 oz. of dried cherries.
1 sunflower trail mix = 5 oz. of nuts + 2 oz. of sunflower seeds
The number of cherry trail mix Sebastian can make with 20 oz. of nuts is therefore;
[tex]\displaystyle Number \ of \ cherry \ trail \ mix = \mathbf{ \frac{20 \ oz \ of \, nuts}{4 \ oz \, of \, nuts \, per \, cherry \ trail \, mix }} = 5 \ cherry \ trail \ mix[/tex]
The number of cherry trail mix that can be made with 20 oz. of nuts = 5 cherry trail mixes
[tex]\displaystyle Number \ of \ sunflower \ trail \ mix =\mathbf{ \frac{20 \ oz \ of \, nuts}{5 \ oz \, of \, nuts \, per \, sunflower\ trail \, mix }}[/tex]
[tex]\displaystyle \frac{20 \ oz \ of \, nuts}{5 \ oz \, of \, nuts \, per \, sunflower\ trail \, mix } = \mathbf{4 \ sunflower \ trail \ mix}[/tex]
The number of sunflower trail mix that can be made with 20 oz. of nuts = 4 sunflower trail mix
Therefore;
Sebastian can make more cherry trail mix than sunflower trail mix with 20 oz. of nuts.
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Fred makes $750 a week working 5 days .How much does he make in one day
Answers
Answer:
$150
Step-by-step explanation:
750/5 = 150
Consider the problem: A set of books that are each 1.5 inches wide are being organized on a bookshelf that is 36 inches wide. How many books can fit on the shelf?
a. Complete the multiplication equation and the division equation to represent the situation. Use a ? to represent the unknown in the equation. Write your answer as a decimal to the nearest tenth if necessary.
multiplication equation: ? • (
) =
division equation:
÷
= ?
b. How many books can fit on the shelf? Use a diagram, if needed.
books
Answers
According to the calculation, 24 books can fit on the shelf.
Given that a set of books that are each 1.5 inches wide are being organized on a bookshelf that is 36 inches wide, to determine how many books can fit on the shelf the following division must be performed:
36 / 1.5 = X 24 = XTherefore, 24 books can fit on the shelf.
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There are 20 marbles in a bag. 1/5 are red and others are blue. What is the ratio of red to blue marbles
Answers
Answer:
4:16 or 1:4
Step-by-step explanation:
1/5 of 20 = 4
there are 4 red marbles
there are 16 blue marbles
4:16 or 1:4
Answer:
1/5 to 4/5
Step-by-step explanation:
I took this quiz befrore and got a 100
A teacher asked her students to divide a large number by 50.
• Aslan divided the number by 50.
• Lucy divided the number by 5 and then divided the answer she got by 10.
• Jack divided the number by 10 and then divided the answer he got by 40.
Who among these got the correct answer assuming they did NOT make mistakes in division?
Answers
Answer:
Step-by-step explanation:
Another way to do it is to multiply by 100 and divide by 2. That's probably the simplest way to do it.
Aslan of course would get the right answer. It's direct and it does give the right answer.
Lucy also did it correctly.
Jack is the only one who will not get it right.
Choose the angle which is represented by the name.
R
Answers
Answer:
Option B
Step-by-step explanation:
Angles can be named by only the middle point's name. Option B would be correct in this case, because the point in the center of the angle is point R.
Four times a number, decreased by 2, is 8 more than the product of six and the number.
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Answers
Answer:
-5
Step-by-step explanation:
4x -2 = 8 + 6x
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x = -5
When the expression 3(n + 7) is evaluated for a given value of n, the result is 33. What is the value of n.
Answers
Answer:
i think n = 4
Step-by-step explanation:
3(n+7) = 33
3n+21 = 33
3n = 12
n = 4
Answer:
n=4
Step-by-step explanation:
3(n+7)=33
3n + 21=33
3n=33-21
3n=12
n=12÷3
n=4
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Answers
Answer:
the third angle is 50 degress
Step-by-step explanation:
the angle sum property states that the sum of all the interior angles of a triangle is 180.
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x = 180 - 130
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Answers
Answer:
i think x = 7 y = 11
Step-by-step explanation:
have a nice dae
A light post 5 1/5 metres long was set 1 1/2 metres into the ground. What was the length of the post above the ground? Write your answer in its simplest form *
Answers
Answer:
3.7 meters
Step-by-step explanation:
First, convert the fractions into decimals.
5 1/5 = 5.2
1 1/2 = 1.5
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a point f(–3, 1) is translated along the vector ⟨5, –1⟩.what are the coordinates of the image f′ ?
Answers
Hope this helped :)
Richard wants to paint the top and sides of the block column. What is the surface area he needs to cover?
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512 sq. ft
960 sq. ft
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Answers
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Answers
Answer:
45
Step-by-step explanation:
First, we have to find the Nth term of this sequence. Since this is linear we can just find the difference to get the n. For example, we can do 3-2 which is one and we can also do 5-4 which is also 1 which confirms that the n is 1. So in other words, 1n However, we don't write the 1 in front of the n because the n itself represents 1n. Next, we have to take away 1 from the first term, which also gives us 1. This is the adjustment to the 1n. So our answer is n+1, which is the nth term for this linear sequence. So now we just substitute 44 into the equation. 44+1=45, which is the 44th term.
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1. Olivia sold water bottles over four days. Create a graph to determine if
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Answers
Answer:
68 got it right on the test!!!
Step-by-step explanation:
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Answers
Answer:
x=17.5 we do that 5*3.5 =17.5
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Answer:
A
Step-by-step explanation:
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Answer:
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Answers
x^2 + 6xy + 8y2
4x^2 + 3xy + 2y^2 - 5x^2 + 2xy + 6y^2
= 4x^2 + 3xy + 2y^2 + -5x^2 + 3xy + 6y^2
Combine like terms:
= 4x^2 + 3xy + 2y^2 + -5x^2 + 3xy + 6y^2
= (4x^2 + -5x^2) + (3xy + 3xy) + (2y^2 + 6y^2)
= -x^2 + 6xy + 8y^2