Given:
A line through the points (7,1,-5) and (3,4,-2).
To find:
The parametric equations of the line.
Solution:
Direction vector for the points (7,1,-5) and (3,4,-2) is
[tex]\vec {v}=\left<x_2-x_1,y_2-y_1,z_2-z_1\right>[/tex]
[tex]\vec {v}=\left<3-7,4-1,-2-(-5)\right>[/tex]
[tex]\vec {v}=\left<-4,3,3\right>[/tex]
Now, the perimetric equations for initial point [tex](x_0,y_0,z_0)[/tex] with direction vector [tex]\vec{v}=\left<a,b,c\right>[/tex], are
[tex]x=x_0+at[/tex]
[tex]y=y_0+bt[/tex]
[tex]z=z_0+ct[/tex]
The initial point is (7,1,-5) and direction vector is [tex]\vec {v}=\left<-4,3,3\right>[/tex]. So the perimetric equations are
[tex]x=(7)+(-4)t[/tex]
[tex]x=7-4t[/tex]
Similarly,
[tex]y=1+3t[/tex]
[tex]z=-5+3t[/tex]
Therefore, the required perimetric equations are [tex]x=7-4t, y=1+3t[/tex] and [tex]z=-5+3t[/tex].
What is the purpose of the periodic interest rate? (2 points)
a for borrowers to compare the rates between different loans
b for lenders to compare the interest rates between different investments
c to determine the amount of interest charged during a specific time frame
d to determine the minimum payment of a credit card
Answer:
The Answer is to determine the amount of interest charged during a specific time frame
Step-by-step explanation:
Write an equation in slooe intercept form for the line that is parallel to y=-4x-3 and passes through the point (-2, 4).
Answer:
y=-4x-4
Step-by-step explanation:
m=-4
point(-2,4)
y-4 = -4 (x- (-2) )
y-4 = -4 (x+2)
y-4 = -4x -8
y = -4x -4
Step-by-step explanation:
we are going to use quadratic equation for this particular question . so now we are going to change the signs i.e from negative to positive or from positive to negative(-2 will turns to +2) nd +4 will turns to-4)
therefore, (x+2)(x-4) then we na expand the bracket x(x-4)+2(x-4)
x square -4x+2x-8
therefore the equation is nothing but x square-2x-8
What’s is the slope?
Answer: 1/2
Step-by-step explanation:
y=1/2x-3
-10x + 3y = 34
y = -8x
Answer
Step 1: Simplify both sides of the equation.
−10x + 3(−8x) = 34
−10x + −24x = 34
(−10x + −24x) = 34 (Combine Like Terms)
−34x=34
Step 2: Divide both sides by -34.
x=−1
Answer:
x=−1
So the pair of coordinates for your answer is (-1, 8)
dog can someone please help
Answer:
-1-5x or C
Step-by-step explanation:
This becasue you need to mutipy the outside to the inside.Hope it helps
Choose the equation that represents the asymptote of the graph f(x) = 2^x +3.
y = 0
y = 3
x = 0
x = 3
Answer:
x = 0Step-by-step explanation:
The horizontal asymptote occurs at x = 0, Hence the equation that represents the asymptote of the graph is at x = 0
f(x) = 2^x +3.
0 = 2^x +3.
2^x +3. = 0
2^x = -3
log 2^ x = log(-3)
x log2 = log(-3)
x = log(-3)/log 2
Hence the required function is when x = 0
What is 18 percent of 210?
Answer:
WN=37.8
Step-by-step explanation:
WN=18%*210
WN=0.18*210
WN=37.8
Heeeeeeelp pleaaaaaaseeee
PLEASE HELP ME! I AM BEGGING YOU!
Answer:
Do I have to download it?
Step-by-step explanation:
Select the correct answer from each drop-down menu.
What type of risk applies to an investment in Treasury bonds?
The risk that the value of the Treasury bond will diminish over time if the value of the dollar decreases, or buys less than it used to, is
called
government to repay the bond.
v risk. Treasury bonds are seen to have no
vrisk because theyre backed by the promise of the US
Answer:
The first drop down is Inflationary and the second drop down is Credit.
Step-by-step explanation:
Car Town
The cost of
renting a car
from us is just
$19.25 per day!
Write an equation for this situation.
y=9.75x
y=9.5x
y=19x
y=19.25x
Help guys, I’m sure it’s easy for y’all
Answer:
(x, y) -------- ( -x,-y)
Rule : Rotation center (0,0) , angle of rotation 180° or -180°
Step-by-step explanation:
The vertices of the object and image have coordinates at ;
D(-4,2), --------D'( 4,-2 ),
E (-1,3), --------E'( 1,-3 ),
F (-1,-3),--------F'(1,3),
G (-3,-4),------G'( 3,4 ),
You notice that after the rotation ;
( x, y )-------change to (-x,-y),
This rule is rotation center origin angle 180°
Bob needs $44 to buy a new pair of pants. He has already been able to save $9 and plans to work as a cook where he can earn $7 per hour. Which inequality shows the minimum number of hours, n, that Bob will have to work as a cook to earn enough to buy the pants? (5 points)
a. 9 + 7n ≤ 44, so n ≤ 5
b. 9 + 7n ≥ 44, so n ≥ 5
c. 7n ≥ 44 + 9, so n ≥ 7.8
d. 7n ≤ 44 + 9, so n ≤ 7.8
Answer:
Hope can help u~
Step-by-step explanation:
is 33 prime or composite Explain
Answer:
33 is composite
Step-by-step explanation:Because its factors are 1, 3, 11, 33
One house sitter charges $40 a day. Another house sitter charges an initial fee of $100 plus $15 per day. After how many days is the fee charges by the two sitters the same? is it 4, 2, 8, or 16?
Answer:
4
Step-by-step explanation:
40 x 4 = 160
100 + (15 x 4) = 160
15x4=60, btw
A family went to a baseball game. They spent $25 to park the car in a parking lot and $24 per ticket. Which equation represents x, the total number of people going to the baseball game if the family spends y, $145 total?
Which of the following statements is true?
OA
5
10
14
2
15
25
18
20
B.
20
16
25
100
12
12
12
5
OC
1 1
1
2
6 5
4
3
OD
50
10
100
1
10
5
20
6
y ≥ 12x – 1
y < 43x – 2
Answer:
Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.
Step-by-step explanation:
Use the equation and given point to answer the questions below. The equation of line a is y=12x−1, and it passes through point (6,2).
Meg's Bakery sells the following items.
• one cinnamon roll for $2.50 or four for $10.00
• one pie for $12.50 or two pies for $22.00
• a dozen brownies for $9.00
A. Determine if there is a proportional relationship between cinnamon rolls and the cost of cinnamon rolls. If there is determine the unit rate.
Answer:
it is $2.50 multiplied by 4
Step-by-step explanation:
this is because for every 1 cinnamon roll it is $2.50 and if you multiply that by 4 you get $10, or how much it costs for 1 roll
Jeff's father is planning to open a savings account to pay for Jeff's college education. He has found a bank that will pay 5 percent interest compounded daily. How much will he need to deposit initially so that in 14 years the balance will be $199,000?
Answer:
P = $183.14
Step-by-step explanation:
Given:
Rate of interest = 5% daily =0.05
Number of year = 14
Balance = $199,000
Computation:
Assume;
Number of days in a year = 365
199,000 = p[1+(0.05/365)]¹⁴⁽³⁶⁵⁾
199,000 = p[1+(0.001369)⁵¹¹⁰
199,000 = p[1086.59]
P = $183.14
what is the length of each side ? help please
Lengths are 11cm , 13cm , 16cm , 12cm
Step-by-step explanation:
Perimeter = Sum of measure of all the sides of quadrilateral.
In the question , perimeter = 52 cm
So,
[tex]x + (x + 2) + 2(x - 3) + (x + 1) = 52[/tex]
[tex] = > x + x + 2 + 2x - 6 + x + 1 = 52[/tex]
[tex] = > 5x - 3 = 52[/tex]
[tex] = > 5x = 52 + 3 = 55[/tex]
[tex] = > x = \frac{55}{5} = 11[/tex]
Which of the following uses properties of operations to help find 34 x 12?
(30 + 4) X (10 + 2)
30 x 4 x 10 x 2
30 + 4 + 10 + 2
34 + 12
Answer:
the first one is your answer
Step-by-step explanation:
I really need help I don’t know how to do this pls
Okay, I attached the image, if you have questions about graphing, go to use desmos
hello I can only pick one!! how do I do this!
Answer:
well the answer should be -1.8
but I'm guessing A
Answer:
[tex]-\frac{9}{10}[/tex] [tex]or[/tex] [tex]-0.9[/tex] [tex]or[/tex] [tex]C[/tex]
Step-by-step explanation:
[tex]\frac{2}{4}\div\frac{-5}{9}[/tex] = [tex]?[/tex]
[tex]\frac{2}{4}[/tex] = [tex]0.5[/tex]
[tex]\frac{-5}{9}[/tex] = [tex]-0.555555555556[/tex]
[tex]0.5\div-0.555555555556[/tex] = [tex]-0.899999999999[/tex] = [tex]-0.9[/tex]
[tex]So[/tex], [tex]the[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]C[/tex].
[tex]This[/tex] [tex]is[/tex] [tex]because[/tex] [tex]A[/tex] [tex]is[/tex] [tex]\frac{-9}{10}[/tex] [tex]instead[/tex] [tex]of[/tex] [tex]-\frac{9}{10}[/tex].
Hope this helps! <3
The cost of a TV is $2555. There will be a 35% discount What is the new price after the discount?
Answer:
1660.75
Step-by-step explanation:
2555x.35=894.25
2555-894.25=1660.72
Answer:1 660.75 US$
Step-by-step explanation:
The answer to this question is 1660.75 US dollars. 2555 - 35% equals 1660.75 US dollars.
Santa has many toy to deliver on elm street. If there are 48 kids that live on elm street and 12 of them are boys, what is the ratio of girls to boys ?
Answer:
36 to 12
Step-by-step explanation:
subtract 12 from 48 an you get 36 girls
In which part of the graph is the height of the water increasing?
Answer:
1
Step-by-step explanation:
1 is increasing
2 is staying constant
3 is decreasing
4 is staying constant again
5 is also decreasing
PLEASE HELPPPPP
Find the sale price of the item. Round to two decimal places if necessary.
Original price: $208.34
Markdown: 72%
what is the sale price
How many degrees of freedom will the error have in a randomized block design with five treatments and three blocks?
a. 2.
b. It will depend on the total sample size.
c.4.
d. 8.
Answer:
A. 2Step-by-step explanation:
Degree of freedom is expressed according to the formula as shown;
Degree of freedom = Sample size (Treatments) - number of parameters(Block)
Given
Number of treatments = 5
Number of blocks = 3
Degree of freedom = 5 - 3
Degree of freedom = 2
Hence the error will have 2 degrees of freedom in the randomized block design.
Simplify. 7²+2² A9 B53 C81 D94
Answer:
B. 53
Step-by-step explanation:
7 to the power of 2 is simply 7 x 7. And 2 to the power of 2 is 2 x 2. Together you have 49 and 4 which makes 53 the simplified form of your equation.
