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
gayaneshka [121]
3 years ago
14

Which one is a binomial

Mathematics
1 answer:
wlad13 [49]3 years ago
4 0
D is the binomial in these examples.
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
Solve the inequality<br> d-6&gt;-4
Annette [7]
D-6>-4
+6 both sides
d>2
4 0
2 years ago
Read 2 more answers
If 3x is one factor of 3x^2-9x, what is the other factor?
Rudik [331]
The answer is:  " (x² − 3) " .
_________________________________
Explanation:
_________________________________

Given:  3x² <span>− 9x ;  factor out a "3x" ; 
_________________________________
 
   </span>→  3x (x² − 3) ;
_________________________________
     The answer is:  " (x² − 3) " .
_________________________________
7 0
3 years ago
Raman purchased 2 an 1/2 pounds of chocolate covered peanuts for $9.75. WHat was the price per pound
viktelen [127]

Answer:

$3.9 per pound

Step-by-step explanation:

Hope this helps!

3 0
2 years ago
Read 2 more answers
Given that $x \le -7,$ identify all the correct conclusions. (A) $3x \le -21.$ (B) $3x \ge -21.$ (C) $-3x \le 21.$ (D) $-3x \ge
exis [7]

Answer:

Options A and D are correct choices.

Step-by-step explanation:

We have been given an inequality x\leq -7 and we are asked to find the correct options from our given choices.

Let us solve inequalities in our given options one by one to see which of these matches with our given inequality.

(A) 3x\leq -21  

x\leq \frac{-21}{3}

x\leq -7

We can see that option A gives the same answer as our given inequality, therefore, option A is the correct choice.

(B) 3x\geq -21

x\geq \frac{-21}{3}

x\geq -7

This inequality represented in option C gives solution that x should be greater than or equal to -7, which is opposite to our given inequality, therefore, option B is incorrect.

(C) -3x\leq 21

Dividing inequality by a negative number swaps inequality sign.

x\geq \frac{21}{-3}

x\geq -7

This inequality gives solution that x should be greater than or equal to -7, which is opposite to our given inequality, therefore, option C is incorrect.

(D) -3x\geq 21  

Dividing inequality by a negative number swaps inequality sign.

x\leq \frac{21}{-3}

x\leq -7

We can see that option D gives the same answer as our given inequality, therefore, option D is the correct choice.  

8 0
3 years ago
Other questions:
  • The graphs of two linear equations ax + by = c and bx - ay = c, where a, b, c are all not equal to zero.
    12·1 answer
  • a cliff diver leaps from a 100-foot cliff into the pacific. the divers height above the water is modeled by the function P(x) =
    5·1 answer
  • Using 7 four times and 1 one time getting to 100​
    12·1 answer
  • You are making snap bags, you want each bag to have the same combination you have 75 carrots and 40 celery sticks and you want t
    6·1 answer
  • Translate the following sentence into math symbols. Then solve the problem. Show your work and keep the equation balanced.
    11·1 answer
  • How to find the area of the seating area
    9·2 answers
  • Using a suitable identity solve the following (7a-9b)(7a-9b)
    14·1 answer
  • 17. Maeve takes pictures of people as they
    8·1 answer
  • Hi! can someone answer this math problem? its x-7y=-11 ; 5x+2y=-18,,, if so can anyone do it step by step? please and thank you!
    11·1 answer
  • Which statement describes how the Van Allen belts are formed?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!