Answer:
the required parametric equation is:
x = 1
y = t + 3
z = -12t - 17
Step-by-step explanation:
From the given information:
We are to express x,y, and z in terms of t.
The purpose of this question is to find the parametric equations in terms of t.
Given that the tangent line related to the parabola is the point (1,3, -17)
Provided that the paraboloid z = 3 - x - x² - 2y² intersect the plane x = 1 in a paraboloid; then:
z = 3 - 1 - (1)² - 2y²
z = 1 - 2y²
Suppose y = t, then the parametrization is given by:
(x (t), y(t), z(t) ) = (1, t, 1 - 2t²)
(x' (t), y'(t), z'(t) ) = (0,1, -4t)
At the point (x,y,z) = (1,3, -17)
For t (=y) = 3
Hence, (x'(3),y'(3),z'(3)) = (0,1, -12)
Therefore, the equation of the tangent line can be expressed as:
[tex]\dfrac{x-1}{0}=\dfrac{y-3}{1}=\dfrac{z-(-17)}{-12}=(t)[/tex]
x - 1 = 0, y -3 = t, z + 17 = -12t
x = 1, y = t + 3 , z = -12t - 17
Thus, the required parametric equation is:
x = 1
y = t + 3
z = -12t - 17
8. Calculate the length of r or st
9514 1404 393
Answer:
30 miles
Step-by-step explanation:
The Law of Sines is used for this purpose. The angle at R is the difference ...
180° -(23° +34°) = 123°
Then the length r satisfies ...
ST/sin(R) = RT/sin(S)
ST/sin(123°) = (20 mi)/sin(34°)
ST = (20 mi)sin(123°)/sin(34°) ≈ 30.00 mi
The length of r or ST is 30 miles.
Help! I'm really confused! (I used Math because I got wrong answers in other subjects)
P.S The Answer isn't A or B :/
Answer: I would say the first one
Step-by-step explanation:
Answer:
Best Bet probably the last one
how do I solve for x?
Answer:
85
Step-by-step explanation:
The sum of the measures of the interior angles of a triangle is 180 deg.
x + 52 + 43 = 180
x + 95 = 180
x = 85
Answer: 85
The angles in a triangle add up to 180 degrees
180 - 52 - 43 = 85
x = 85 degrees
Write the equation of the quadratic function with points (1, 2), (3, 3), and (-3,6)
Answer:
Sorry i cant help but i hope you do well
Step-by-step explanation:
Find the area, in square units, of triangle ABC plotted below.
Answer:
Area of ΔABC = 10 square units
Step-by-step explanation:
Distance between the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is represented by,
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Length of AB = [tex]\sqrt{(-4-2)^2+(-6+8)^2}[/tex]
= [tex]\sqrt{36+4}[/tex]
= [tex]2\sqrt{10}[/tex]
Length of CD = [tex]\sqrt{(-6+7)^2+(-2+5)^2}[/tex]
= [tex]\sqrt{1+9}[/tex]
= [tex]\sqrt{10}[/tex]
Area of a triangle ABC will be represented by the formula,
Area = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(AB)(CD)[/tex]
= [tex]\frac{1}{2}(2\sqrt{10})(\sqrt{10})[/tex]
= 10 square units
Answer:
10 square units
Step-by-step explanation:
Please can someone please tell me how to do thisss
Answer:
Rotate it 90°
Step-by-step explanation:
First graph D(-3, -10)
And a rotation of 90° clockwise is when you move the shape to the left 90°.
And that’s it
Answer:
I have a set of rules that should help you:
When rotating a point or shape 90 degrees counterclockwise switch the x and y values of that point and then change the sign (negative or positive) of the new x value. When rotating 90 degrees clockwise switch the x and y values of that point and then change the sign of the new y value. Finally when rotating 180 degrees just change the sign of both points to get your new value. Keep in mind that these rules only work when rotating around the origin which is (0,0)
IN this case, your point is -3, -10 and since we rotate it 90 degrees clockwise we just switch the x and y so it is now -10, -3 and then change the sign of the y which makes your final answer -10, 3
-Hope this helps
Step-by-step explanation:
Plz helpppp I think I know it but I need to check my answer
Answer:
D
Step-by-step explanation:
(2*6)^4=20736
2^4*6^4 is the same as the expression which is equal to 20736
Write a line that is parallel to y = -3x -4
Answer:
A parallel line to "y = -3x -4"
Is
"y = -3x"
Step-by-step explanation:
wendy already spent $10 on a necklace, and each additional charm is priced at $2 each. write a function that shows the relationship between the number of charms purchased, x and the total cost, f( x)
Answer:
f(x) = 2x + 10
Step-by-step explanation:
The amount of charms represents x, or the variable. The price of the charm is represented by 2, or the slope. The necklace is the constant, represented by 10.
No. 2 BAC and 2 CAD remain congruent, and m 2 DAB is still the sum of mZBAC and m2 CAD.
AN
Question 4
Move point C so that ZBAC and CAD form a pair of supplementary angles, or angles whose sum is 180°. Record each of the angle measurements
for this case.
Answer:
I’m srry I don’t know about question 2 but here’s the answer to Question 4
When the two angles are supplementary, m<BAC = m<CAD = 90° and m<DAB = 180°
Step-by-step explanation:
Answer from Plato
Answer:
No. ∠BAC and ∠CAD remain congruent, and m∠DAB is still the sum of m∠BAC and m∠CAD.
Step-by-step explanation:
This is the answer for question 2
Lines ℓ and m are intersected by transversal t. ℓ ∥ m. Lines l and m are horizontal with l above m and intersected by transveral t. Angles 1, 2, 3, and 4 are formed where t intersects l with 1 and 3 above l from left to right and 2 and 4 below it. Angles 5, 6, 7, and 8 are formed where t intersects m with angles 5 and 7 above line m from left to right and 6 and 8 below it. If m∠4 = 105, what is m∠5?
Answer:
<5 = 105 degrees
Step-by-step explanation:
From the description given, since line l is parallel to m then <4 is alternate to <5 and two alternate angles are equal, if thst is the case
<4 = <5 (alternate angle)
Since <4 = 105 degrees, hence m<5 = 105 degrees
what is 234 divided by 2 pls help me
Answer:
the answer 117
Step-by-step explanation:
The 234 divided by 2 is 117.
To calculate 234 divided by 2, we perform the division operation step by step.
Step 1: Divide 234 by 2.
234 ÷ 2 = 117
The result of 234 divided by 2 is 117. When you divide 234 by 2, you are essentially dividing 234 into two equal parts. Each part contains 117. This can be confirmed by performing the calculation:
234 ÷ 2 = 117
Therefore, 234 divided by 2 is 117. Division is the inverse operation of multiplication, and in this case, we find that 234 is evenly divisible by 2, resulting in a whole number quotient of 117.
To know more about divided:
https://brainly.com/question/15381501
#SPJ6
Write each decimal as a mixed number in simplest form.
6. 3.6
7. 10.4
8. 2.11
Answer:
[tex]\frac{1}{2}[/tex][tex]2[/tex] [tex]\frac{1}{2}[/tex][tex]5[/tex][tex]\frac{1}{2}[/tex]These are the decimals in mixed numbers in their simplest form.
Hope this helps you!
YOO HELPP
I’m bad at math
Answer:
i love you
Step-by-step explanation:
Answer:
1/2(n-3) or (n-3)/2
Step-by-step explanation:
Answerr plsss. whooop whoop
Daniela has money automatically deposited into a savings account each week. After 3 weeks, she has $18. After 5 weeks, she has $30. The unit rate is measured in dollars per week. What is the constant of proportionality
A. 1/6
B. 12
C. 6
D. 3
Answer:
the answer is c
Step-by-step explanation:
the answer is c
write an equation for a line perpendicular to y=5x+2 and passing through the point (-10,3)
Step-by-step explanation:
The perpendicular line *always* has a slope of the negative reciprocal. Your given line has a slope of -5, so the perpendicular slope is -1/(-5) = 1/5.
Use the point-slope form of a general line to find the equation.
(y - y_1) = m * (x - x_1)
y - 7 = (1/5) * (x - 15)
The supplement of an angle is 30 less than six times the angle. Find the angle and its supplement.
Answer:
The angle is 30
and its supplement is 150
Step-by-step explanation:
Let the angle be x
The supplement of an angle is 180 minus that angle
So the supplement here is 180 -x
Now, the supplement of the angle is 30 less than 6 times the angle;
Thus;
180-x = 6x -30
180 + 30 = 6x + x
7x = 210
x = 210/7
x = 30
the supplement is 180 - x = 180 -30 = 150
consider the following figure
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
<c & <f would be alternate interior angles because they're a pair of angles on the inner side of each of those two parallel lines but on opposite sides of the transversal.
-15x²+7x+23=0 i just need the answer of it even it's not correct charr cge na loves
Use the quadratic formula where -15 = a, 7 = b, 23 = c: [tex]\frac{-b +- \sqrt{b^2 - 4ac}}{2a}[/tex]
Plug in the values: [tex]\frac{-7 +- \sqrt{7^2 - 4(-15)(23)}}{2(-15)}[/tex]
And get: [tex]\frac{-7 +- \sqrt{49 +1380}}{-30}[/tex]
Which simplifies to: [tex]\frac{-7 +- \sqrt{1429}}{-30} = (-7 + 37.8021163)/-30 OR (-7 - 37.8021163)/-30 = 30.8021163/30 OR -44.8021163/30[/tex]
Those are approximately 1 and -1.5
if the time is 10pm what time will it be in exactly 12.82 minutes?
Answer:
.....................
Step-by-step explanation:
Answer:
10:13.22
Step-by-step explanation:
im stupid and dont want to help my little brother so. and you have to show your work
Answer:
242
Step-by-step explanation:
242
4/968 how many times does 4 go into 9? 2 times put the 2 above the 9
8 4 times 2 equals 8 so you put the 8 below the 9 and subtract
1 6 9 minus 8 equals 1 than you drop the 6
1 6 how many times does 4 go into 16? 4 times. put the 4 above the 6
0 8 than multiply 4 *4 =16 than 16-16=0 drop the 8
8 4 goes into 8, 2 times the 2 goes above the 8. 4*2=8
0 8-8=0
Help the picture is above I’ll mark you as brainliest please show the work too.
Answer: what are you doing stepbro
Step-by-step explanation: i like doggos :)
4÷6\7 blank 4
I have to figure out if it is < > =
Answer:
<
Step-by-step explanation:
because 4/6/7 is less than 0
Answer:
2/21 < 4
Step-by-step explanation:
Lets break this up
4/6=2/3
2/3 / 7 = 2/3 * 1/7
2/21
Sofia still lives at home, but helps with the rent paying $200 per month. She has a job that pays about $700 per month after taxes. She has to pay for her own personal items such as clothing and toiletries spending about $120 per month. Going out with friends is important to her, but she also wants to save money to buy her own car. Select the budget that would best help meet her goals.
Monthly Budget
Budget A
Budget B
Budget C
Budget D
Income
$700
$700
$700
$700
Expenses -
Rent
Personal Items
Entertainment
Savings
$200
$120
$100
$250
$200
$120
$300
$50
$200
$120
$200
$150
$200
$120
$325
$25
Answer:
Budget A
Step-by-step explanation:
Total monthly budget is;
T = Rent cost + Personal Items cost + Entertainment cost +Savings cost
For budget A;
T_A = $200 + $120 + $100 + $250
T_A = $670
For budget B:
T_B = $200 + $120 + $300 + $50 = $670
Foe budget C;
T_C = $200 + $120 + $200 + $150
T_C = $670
For budget D;
T_D = $200 + $120 + $325 + $25 = $670
We can see the total budget for all is $670.
Her rent and personal expenses have fixed amounts. Thus, the only ones that can vary are Entertainment cost and Savings cost.
Now, in all the budgets, budget A has the highest savings which is $250.
Thus, we can say it's the best budget to help her meet her goals as it still provides $100 for even entertainment which she loves with her friends.
Answer:
budget A
Step-by-step explanation:
Need help please !!!!!
The amount of water in a pool varies directly with the amount of time it is filling up. The pool has 2,900 liters of water after 15 seconds. How many liters of water will the pool contain after 45 seconds?
Answer: 24kg
Step-by-step explanation:
Find (9.3 X 10^6) + (1.8 X 10^4).
Express your answer in scientific
notation.
Please answer i'm studying for a test tomorrow :D
Answer:
7.5 × 10²
Step-by-step explanation:
Are -5/10 and -4/8 equivalent
This figure has two intersecting lines and a ray. What is the value of x?
Answer:
37 degrees
Step-by-step explanation:
108 = x + 71
37 = x