Answer:
w = 1 i + 1 j - 1 k
u = 1 i + 4 j + 5 k
Step-by-step explanation:
Two possible vectors are:
w = 1 i + 1 j - 1 k
and
u = 1 i + 4 j + 5 k
since they verify the rules for scalar product equal zero among them:
v * w = 3 - 2 - 1 = 0
v * u = 3 - 8 + 5 = 0
u * w = 1 + 4 - 5 = 0
find all integers x satisfying each of the following congruences mod n. if no such x exists, explain why not
Answer:
please find the solution:
Step-by-step explanation:
please find the correct question:
Given value:
[tex]\to 4x \equiv 2(mod\ n) \ \ \ \ \ \ \ \ \ \ \ \ _{where} \ \ n=6\\\\\to 4x \equiv 2 (mod 6)[/tex]
[tex]\to 4x-2[/tex] should be divisible by 6 we are also given that [tex]0 \leq x < n[/tex] and start with x = 0
[tex]\to 4x-2[/tex] =-2 which is not divisible by 6
x= 1
[tex]\to 4x-2[/tex] = 2 not divisilble by 6
x= 2
[tex]\to 4x-2[/tex] = 6 which is divisible by 6
x=3
[tex]\to 4x-2[/tex] = 10 not divisible by 6
x=4
[tex]\to 4x-2[/tex] = 14 not divisible by 6
x=5
[tex]\to 4x-2[/tex] = 18 which is divisible by 6
so such x are x = 2 and x = 5
PLEASE HELP,, thank you so much if you do
i’m really confused on how to answer this question could anyone who understands this please help me
i’ll give brainliest
Answer:
(x)^2+(5)^2=(9)^2
Step-by-step explanation:
(a)^2+(b)^2=(c)^2
(x)^2+(5)^2=(9)^2
x^2+25=81
-25 -25
x^2=56
x=28
p.s. this ^2 means squared
Which series of transformations would result in a figure that is congruent to the triangle ABC?
rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin
rotation of 180' clockwise about the origin and then dilation with a scale factor of 2, centered at the origin
reflection across the line y ox and then dilation with a scale factor of -3, centered at the origin
translation 3 units to right and then dilation with a scale factor of 3, centered at the origin
Answer: rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin
Step-by-step explanation:
Two triangles are congruent if all the corresponding angles are equal, and if the corresponding side lengths are equal.
Now, this means that if we have a given triangle, and we apply a dilation/contraction, then the resultant triangle will have different side lengths than the initial triangle, then those two triangles can not be congruent.
So we can already discard all the options with dilations.
Now, remember how the dilation works.
If we have a point that is at a distance L of the origin, and we do a dilation of scale factor K centered at the origin, then the new distance of the point and the origin will be K*L.
Notice that if the scale factor is equal to 1, then there is no change.
In the options, we have one where the scale factor is -1.
The minus sign means that will cause the enlargement to appear on the other side of the center of enlargement. But the scale factor still is of absolute value 1, so it will not change anything.
Then the only option that not dilates the triangle is:
Rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin
So this is the only transformation that results in a figure congruent to the triangle ABC
Given a 45-45-90 triangle with the hypotenuse measuring 5√7 feet. Which is the exact measure of each leg?
If angle 1= 36 degrees and angle 4= 115 degrees what is the measurement of angle 2 ?
PLEASE HELP ASAP
can you help me please
Evaluate and reduce:
3
4
35 - -
F
Enter the number that belongs in the
green box.
Answer:
28
Step-by-step explanation:
35/5 ÷ -3/4
=7÷ (-3/4)
=7× (4/-3)
=(7×4)/-3
=- 28/3
the minus is already placed in the question, that makes the answer 28 without the minus
60 POINTS BRAINLIES
PLEASE WORKOUT QUESTIONS a b & c
PHOTO OF GRAPH ATTACHED BELOW
a) Calculate the median number of medals for each medal type, stating the formula you would use for determining the median for the gold medals.
b) Calculate the mean number of medals for each of the 3 medal types, stating the formula you would use for determining the mean for the bronze medals.
c) Calculate the standard deviation of the total medals awarded to each country
(column F) using the formula below.
Show all the steps ( show your work ).
USE the STDEV.P function to cross-check your final answer.
Answer:
see below
Step-by-step explanation:
a) median : re-arranged the numbers in order. i.e. min to max
gold: 147 , 147 , 175 , 206 , 212 , 227 , 263 , 275 , 440 , 1022
212 + 227 = 219.50
2
silver: 147 , 163 , 165 , 170 , 178 , 241 , 295 , 313 , 357 , 794
178 + 241 = 209.50
2
bronze: 151 , 169 , 179 , 187 , 193 , 260 , 289 , 325 , 349 , 704
193 + 260 = 226.50
2
b) mean : sum of all numbers divide by n, where n=10
gold: = (147 , 147 , 175 , 206 , 212 , 227 , 263 , 275 , 440 , 1022 ) / 10
= 311.40
silver: = (147 , 163 , 165 , 170 , 178 , 241 , 295 , 313 , 357 , 794 ) / 10
= 282.30
bronze: = (151 , 169 , 179 , 187 , 193 , 260 , 289 , 325 , 349 , 704 ) / 10
= 280.60
c) standard deviation on population (STDEV.P)
Australia = 16.44
china = 33.03
france = 19.74
germany = 30.21
great britain = 13.89
hungary = 12.04
italy = 11.44
soviet union = 48.46
sweden = 13.47
united states = 133.84
Sarah writes 4 songs. Ronnie writes 6 more songs than Sarah Paul writes 2 times as many songs as Sarah
Answer:
Sarah wrote 4 songs
Ronnie wrote 10 songs
Paul wrote 8 songs
Step-by-step explanation:
true or false 2*10=2*10^3
Answer:
false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
2*10 = 20
So your equation would look like this:
20 = 2*10^3
10 to the third power is 1000
1000*2 = 2000
2000 is not equal to 20
Hope I helped :)
Please consider Brainliest :)
Lollollollollollollollollollollollollollollollollollollollollollollollollollollollollol pt. 3
lolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllol
here's a picture of a seal
i hope you like it
please help!!
find h(8)-f(-7)
Emily and Andy each go to a hardware store to buy wire. The table shows the cost y in dollars for x inches of the wire they need. Emily needs 22 feet of the wire. Andy needs 13 yards of the wire. How much will each of them spend for wire?
Answer:
Step-by-step explanation:
Actually its
Andy spends $ 13.20
Emily will spend 23.40
HOPE IT HELPS!!!!!!!!!!
simplify the expression and explain each step.
1. 4(3x + 2) -2
2. factor the expression completely 20b -16
please explain how to solve! will mark brainliest
Answer:
is the 3x a expression ill comment the awnser if is
Step-by-step explanation:
Which is the equation of the line in point-slope form with a slope m=6 and a point (-1,9)
Answer:
y-9=6(x+1)
Step-by-step explanation:
solve -3x^2=150
please help me
Answer:
x=5i√2,−5i√2
Tap to view steps...
Step-by-step explanation:
math, way, . , com
i’ll literally give you 45 points but please answer it correctly i have a D in math class
I wrote out the answers on top of the sheet. Hope this helped!
1 Later that afternoon, Robert spent more time playing the video game.
He earned 88 points. How many points did he tell his friend that
he earned?
I need help on this I will give brainlist help it will mean a lot this is my last math problem help me!
I need help on this I will give brainlist help it will mean a lot this is my last math problem help me!
Answer:answer is b
Step-by-step explanation: Just makes since
NEED HELP ASAP!! RESPOND AS QUICK AS POSSIBLE!!!
Tell me what the answer is for these 3 questions
Answer:
First one: y-intercept = 1
ordered pair: (0,1)
Second one: y-intercept = -1
ordered pair: (0,-1)
Third one: y-intercept = 4
ordered pair: (0,4)
Answer:
1. y=1, (0,1)
2. y=-1, (0,-1)
3. y=4, (0,4)
Step-by-step explanation:
The y-intercept is the line crossing the y-axis
(0, number here that cross y-axis)
1. y=1, (0,1)
2. y=-1, (0,-1)
3. y=4, (0,4)
Is the expression 6+3=9 an equation? Explain.
Answer:
No, 6+3=9 is not an equation.
Step-by-step explanation:
The reason as to why this is not an equation is because an equation is a statement that asserts the equality of two expressions, which are connected by the equal sign. And 6+3=9 does not in fact connect two separate expressions.
Let f(x) = 5^x Find f(-3).
what did you guys get?
Answer:
I got 1/125
Step-by-step explanation:
Change the equation from standard form into vertex form by completing the square.
y equals x squared plus 14 x plus 53
Find the coordinates of the midpoint of LB if L(8, 5) and B(-6, 2)
Answer:
The coordinates of the midpoint of LB are (1, 3.5)
Step-by-step explanation:
The rule of the midpoint of a segment its endpoints are (x1, y1) and (x2, y2) is [tex]M=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]
Let us use this rule to solve the question
∵ M is the midpoint of segment LB
∵ The coordinates of point L are (8, 5)
∴ x1 = 8 and y1 = 5
∵ The coordinates of point B are (-6, 2)
∴ x2 = -6 and y2 = 2
→ Substitute these values in the rule of the mid point above
∵ [tex]M=(\frac{8+-6}{2},\frac{5+2}{2})[/tex]
→ Remember (+)(-) = (-)
∴ [tex]M=(\frac{8-6}{2},\frac{7}{2})[/tex]
∴ [tex]M=(\frac{2}{2},\frac{7}{2})[/tex]
∴ M = (1, 3.5)
∴ The coordinates of the midpoint of LB are (1, 3.5)
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Write and inequality for the graph.
Answer:
Step-by-step explanation:
What is 120 divided by 55
Answer:
2.2
..................
120/55
does anyone need to talk/rant about something because im here for you
Answer: sure
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
ok so I just got an email from my school saying that you need to do half the semester in ONE WEEK and I'm like, why you didn't need to do this. And also my parents are expecting me to do it ALL IN 2 DAYS AND GET AN A honestly I am very sad I am actually doing an assignment right now lol.
f(x)=x+3
g(x)=2x
its combining funtions please help
These are the weekly wages paid to staff in a hotel.
£245
£140
£525
£163
£195
£174
£140
What is the range of these wages?
What is the mean wage?
Answer:
range is 525-140=385
The mean of a set of numbers is the sum divided by the number of terms. Mean= 226
Step-by-step explanation:
hope that helper, have a good one
Range = 525 - 140 = 385
Mean =
[tex](140 + 140 + 163 + 174 + 195 + 254 + 525) \div 7 = 226[/tex]