1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Brut [27]
3 years ago
10

Help me please ASAP!! :(

Mathematics
1 answer:
balu736 [363]3 years ago
4 0

Answer:

m= -1/7  (slope)

b= -1 (y inter)

Step-by-step explanation:

You might be interested in
(a) Find a vector parallel to the line of intersection of the planes −4x+2y−z=1 and 3x−2y+2z=1.
valentinak56 [21]

Find the intersection of the two planes. Do this by solving for <em>z</em> in terms of <em>x</em> and <em>y </em>; then solve for <em>y</em> in terms of <em>x</em> ; then again for <em>z</em> but only in terms of <em>x</em>.

-4<em>x</em> + 2<em>y</em> - <em>z</em> = 1   ==>   <em>z</em> = -4<em>x</em> + 2<em>y</em> - 1

3<em>x</em> - 2<em>y</em> + 2<em>z</em> = 1   ==>   <em>z</em> = (1 - 3<em>x</em> + 2<em>y</em>)/2

==>   -4<em>x</em> + 2<em>y</em> - 1 = (1 - 3<em>x</em> + 2<em>y</em>)/2

==>   -8<em>x</em> + 4<em>y</em> - 2 = 1 - 3<em>x</em> + 2<em>y</em>

==>   -5<em>x</em> + 2<em>y</em> = 3

==>   <em>y</em> = (3 + 5<em>x</em>)/2

==>   <em>z</em> = -4<em>x</em> + 2 (3 + 5<em>x</em>)/2 - 1 = <em>x</em> + 2

So if we take <em>x</em> = <em>t</em>, the line of intersection is parameterized by

<em>r</em><em>(t)</em> = ⟨<em>t</em>, (3 + 5<em>t</em> )/2, 2 + <em>t</em>⟩

Just to not have to work with fractions, scale this by a factor of 2, so that

<em>r</em><em>(t)</em> = ⟨2<em>t</em>, 3 + 5<em>t</em>, 4 + 2<em>t</em>⟩

(a) The tangent vector to <em>r</em><em>(t)</em> is parallel to this line, so you can use

<em>v</em> = d<em>r</em>/d<em>t</em> = d/d<em>t</em> ⟨2<em>t</em>, 3 + 5<em>t</em>, 4 + 2<em>t</em>⟩ = ⟨2, 5, 2⟩

or any scalar multiple of this.

(b) (-1, -1, 1) indeed lies in both planes. Plug in <em>x</em> = -1, <em>y</em> = 1, and <em>z</em> = 1 to both plane equations to see this for yourself. We already found the parameterization for the intersection,

<em>r</em><em>(t)</em> = ⟨2<em>t</em>, 3 + 5<em>t</em>, 4 + 2<em>t</em>⟩

3 0
2 years ago
19.2 is what percent of 24?
Pie
<span>Answer: 9.2 is 80% of 24.

hope this helps!</span>
7 0
3 years ago
What is the volume of this prism ?
Cloud [144]

Answer:160 B.

Step-by-step explanation: first you seperate the two rectangles. then find volume of both by multipling lenngh times with times height then add both of your volumes.

8 0
3 years ago
As part of a grand opening, an arcade gave out free tokens to the first 100 customers. If you spent $5, you got 61 tokens. If yo
allsm [11]

Answer:

your teacher is they are giving out FREEE tokens so why do you have to pay

Step-by-step explanation

8 0
2 years ago
Help me with this please ​
OleMash [197]

Answer:

x=4

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • A football team was training for four hours. During the first hour, they practiced for 5/8 of an hour. During the second hour, t
    6·1 answer
  • What's the sum of 25 and its opposite?
    11·1 answer
  • Suppose that a particular candidate for public office is in fact favored by 48%of all registered voters in the district. A polli
    10·1 answer
  • 6,484 ÷ 24 what is the quotient?
    8·2 answers
  • Helpppppppppppppp please
    11·1 answer
  • Convert 2,000,000mm into Decametres
    14·2 answers
  • Algebra I
    7·1 answer
  • A recipe for pie crust calls for 2/3 cup of water for every 3 cups of flour. If you doubled the recipe, you would need 1 1/3 cup
    5·3 answers
  • What are the solutions to the equation -5x2 + 3x = -9
    5·2 answers
  • Pam signed up for a new gym. She had to pay a $45 sign-up fee and will pay dues of $30 each month for 6 months. Which expression
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!