Based on the work shown to the left, which of
these values are possible solutions of the
equation? Check all of the boxes that apply.
Answer:
sorry i cant answer without the picture it wont make sense.
Answer:
A, D
Step-by-step explanation:
edge 2021
The larger of two numbers is two more than five times the smaller number.if the sum of the two numbers is 80 find both number
Answer:
the smaller number is 13 and the larger number is 67
The resultant of the vectors a = 3i - 2j and b = pi - 2pj is parallel to the vector c = 2i - 3j.
a) Find the value of p
b) Find the resultant of vectors a and b.
Please help me with this question, thank you
Part (a)
The resultant vector is the vector formed by adding the two vectors a and b. So we effectively add the corresponding components.
You can use the parallelogram law as a visual alternative.
Adding a and b leads to
a+b = (3i-2j) + (pi-2pj)
a+b = (3i+pi) + (-2j-2pj)
a+b = (3+p)i - (2+2p)j
Define vector d to be d = a+b so we can use it later below.
Recall that parallel vectors point in the same direction. This means the ratio of their components or coordinates are equal.
We can say the following
(x coord of d)/(x coord of c) = (y coord of d)/(y coord of c)
(3+p)/(2) = (-(2+2p))/(-3)
Let's solve for p
(3+p)/(2) = (-(2+2p))/(-3)
(3+p)/(2) = (2+2p)/3
3(3+p) = 2(2+2p) .... cross multiply
9+3p = 4+4p
4p+4 = 3p+9
4p-3p = 9-4
p = 5
Answer: p = 5========================================================
Part (b)
Since p = 5, from part (a), we can determine vector b
b = pi - 2pj
b = 5i - 2*5j
b = 5i - 10j
Then add vectors a and b to get
a+b = (3i-2j) + (5i - 10j)
a+b = (3i+5i) + (-2j - 10j)
a+b = (3+5)i - (2+10)j
a+b = 8i - 12j
Or we can say
a+b = (3+p)i - (2+2p)j .... from part (a)
a+b = (3+5)i - (2+2*5)j ... plugging in p = 5
a+b = 8i - 12j
Note the ratio of the components of vector d and vector c are such
(x coord of d)/(x coord of c) = (y coord of d)/(y coord of c)
8/2 = -12/(-3)
4 = 4
This helps confirm the answer
You could also graph the vectors c = 2i - 3j and d = 8i - 12j to note the two lines produce the same slope -3/2. We can see that -12/8 = -3/2. Lines of the same slope are parallel lines
Answer: 8i - 12ja.
The value of p is 5
Since vector a = 3i - 2j and vector b = pi - 2pj, the resultant of vectors a and b is R = a + b
= 3i - 2j + pi - 2pj
= (3 + p)i - 2(1 + p)j
Since R is aparallel to vector c = 2i - 3j, it implies that the cross product of R and c is zero.
The cross product of two vectors a and b is a × b = absinФ where a and b are the magnitudes of a and b and Ф is the angle between them.
So, R × c = [(3 + p)i - 2(1 + p)j] × [2i - 3j]
= (3 + p)i × 2i + (3 + p)i × (-3j) + (-2(1 + p)]j × 2i + (-2(1 + p)]j×(-3j)
= 0 - 3(3 + p)k - 4(1 + p)(-k) + 0
= -3(3 + p)k + 4(1 + p)k
= [-3(3 + p) + 4(1 + p)]k
= [-9 - 3p + 4 + 4p)]k
= [-9 + 4 - 3p + 4p)]k
= [-5 + p]k
[-5 + p]k = RcsinФ.
Since R and c are parallel, Ф = 0°
So, Rcsin0° = Rc × 0 = 0
So, [-5 + p]k = 0
-5 + p = 0
p = 5
The value of p is 5
b.
The resultant of vectors a and b is R = 8i - 12j
Since p = 5 and the resultant of vectors a and b is R = (3 + p)i - 2(1 + p)j
Substituting the value of p = 5 into r, we have
R = (3 + p)i - 2(1 + p)j
R = (3 + 5)i - 2(1 + 5)j
R = 8i - 2(6)j
R = 8i - 12j
So, the resultant of vectors a and b is R = 8i - 12j
Learn more about resultant of vectors here:
https://brainly.com/question/14358602
On the coloring sheet, thd a ratio
is equivalent to 3/10.
Answer:
Equivalent ratios:
3 : 10 6 : 20 9 : 30 12 : 40 15 : 50 18 : 60 21 : 70 24 : 80 27 : 90 30 : 100 33 : 110 36 : 120 39 : 130 42 : 140 45 : 150 48 : 160 51 : 170 54 : 180 57 : 190 60 : 200 63 : 210 66 : 220 69 : 230 72 : 240 75 : 250 78 : 260 81 : 270 84 : 280 87 : 290 90 : 300
( Brainlyst will help my rank <3 )
What is 12.18 x 103 =
Answer:
1,254.54
Step-by-step explanation:
Answer:
1,254.54
Step-by-step explanation:
What is the y-intercept of the function y = 3x + 33 ?
Answer:
33
Step-by-step explanation:
Answer:
it is 33 because you start off at 0 with 33
Step-by-step explanation:
x2 + 20x +__________
The distance between A (-4, 2) and B(4, 2) is.
Answer:
8 spaces away
Step-by-step explanation:
hope this helped :-)
HELP WILL GIVE BRAINLIEST PLEASE
Answer:
Lin needs 3 cups of flour and 6 cups of sugar. Noah needs 6 cups of sugar and 4 cups of flour.
Step-by-step explanation:
I want you to figure out how to do.
Solve 2c − 8f = 24 for f. Show your work.
Answer:
f=2 c=4
Step-by-step explanation:
8 times 2 equals 16 plus 2 times 4 equals 24 in total.
Which of them is true?
A. [ -18]< 6
B.[ -6] < [ -8]
C.[8]<[-6]
D.[-6] < -8
Answer:
B. |-6| < |-8|
Step-by-step explanation:
The absolute value will always make the number positive. B is the only option in which (once absolute value is used) will make a true statement.
|-6| < |-8| = 6 < 8
( 6 is less than 8 )
A police car drives 230 km in 2 1/2 hours. What is its average speed in kilometers per hour?
Answer:
92 km/h
Step-by-step explanation:
A manufacturer has invested $120,000 in a new product and wants to set a price to earn a $80,000 profit. The variable cost per unit is $20 and the company sells the units at $100.
Answer: 500
Step-by-step explanation:
The remainder of the question is:
How many units does the company need to sell to reach the target profit?
The required sales to break even will be calculated as:
= (Fixed cost + Required profit) / ( Price per unit - Variable cost)
= (120000 - 80000) / (100 - 20)
= 40000/80
= 500
The company needs to sell 500 units.
pls answer fast (50 points)
Answer: c
Step-by-step explanation:
A. 52.50
B. 54.40
C. 51.00
D. 52.00
help me plzzz ;-;" tysm
Answer:
172645 pounds all together
Step-by-step explanation:
Answer:
Maxie eats: 112420 p and Gracie 60225p 308 × 365 ; 165 × 365
Step-by-step explanation:
yw luv ;(
HELP LOL i have no idea it might be just me
Answer:
Step-by-step explanation:c
PLZ HELP
12 yd = ___ ft
Answer:
12yd = 36ft
Why: For every 1 yard you have 3 feet
2 yards=6 3=9 and so on
Step-by-step explanation:
12 yards = 36 feet
if this answer is correct:
give a like and rate me 5
how solve these problem plssssss
Answer:
for the second question , all you have to do is substitute , the first point plotted is x and the second point is b , ploy those points in the equation and remember that to find x we make y= 0 and to find y we make x =0
can someone help plz
Answer:
6. a) 7/3
7. b) Y=20/3(x)
Write the equation of the line that in slope-intercept form with the given point and slope or two points. (-4. 6); slope = -3/4
Answer:
y = -3/4x + 3
Step-by-step explanation:
6 = -3/4(-4) + b
3 = b
Andy divided his one-third jar of equally between 2 projects. What fraction of a jar of paint did Andy use for each project? Explain how to draw a model to find the answer.
Answer:
1/2 of the 1/3 jar of paint is used for each project
Step-by-step explanation:
somebody please help
Answer:
729
Step-by-step explanation:
hope it helps
Answer: 27/2 = 13 1 2\
also 729
find the angle represented by x ( round the nearest tenth of a degree) A 16.2 B 16.4 c17.1 d17.4
Answer:
B. 16.4°
Step-by-step explanation:
reference angle = x = [tex] \theta [/tex]
Side length opposite to x = 20 ft = opp
Adjacent side length = 68 ft = adj
Apply the following trigonometric ratios formula:
[tex] tan(\theta) = \frac{opp}{adj} [/tex]
Plug in the values into the formula
[tex] tan(x) = \frac{20}{68} [/tex]
[tex] tan(x) = 0.2941 [/tex]
[tex] x = tan^{-1}(0.2941) [/tex]
[tex] x = 16.3886 [/tex]
x = 16.4° (nearest tenth)
Answer:
B. 16.4
Step-by-step explanation:
Which equation represents a line which is parallel to the line 3x + 8y = - 40 ?
19 books on a shelf. 8 of these books are new. The rest of them are used. What is the ratio of new books to used books
Answer:
1:8
Step-by-step explanation:
You subtract 19 and 8, and you get 11 then you put them in ration form
Step-by-step explanation:
What is the equation of the graphed polynomial below?
1
y = (-x + 2)2(-x + 3) 3
y = -(x + 2)2(x - 3)3
y = (x + 2)²(x - 3)2
y = (x - 2)*(x - 3)2
Answer:
D. y=(×-2)^3(×-3)^3
Step-by-step explanation:
the x and y axis interception
Geometry 9th grade will give brainliest
Step-by-step explanation:
7.90.
Britney is buying a shirt and a hat at the mall. The shirt costs $31.95, and the hat costs $19.45. If Britney gives the sales clerk $100.00, how much change should she receive? (Ignore sales tax.)
Answer:
$46.10
Step-by-step explanation:
Do the ratios 16 18 and 1 2 form a proportion?
Answer:
no they don't form a proportion
Step-by-step explanation:
16:18/2:2 = 8:9
8:9 and 1:2 are unequal
does anyone know what's on the flvs 5.06 dba for Mrs. sujeily Witherspoon....have dba at 11:15
I'd go back through the lesson and take notes of steps in the last pages they give the review of the lesson, help full and a time saver. other than that I would try to write down all definitions and words listed in the module, but if you want to have a complete list of every thing go to the home page and get the guided notes, you can fill them out when looking back at the lesson.
if you have a short time to gather notes just go through and right down what you can, you can always keep the glossary open when doing a DBA. hope anyone who see's this does well :)
sorry I couldn't help much i was unaware of the course you are taking