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
ankoles [38]
3 years ago
10

Help! locus points!

Mathematics
1 answer:
Liula [17]3 years ago
5 0

Answer:

  1. Circle X with radius 2 cm.
  2. Either of two lines parallel to AB.

Step-by-step explanation:

1. The definition of a circle is all the points in a plane that are at some radius r from a given point (the circle center). That is what you have, with a radius of 2 cm.

__

2. Parallel lines are the same distance apart everywhere. Each line will have two parallel lines at some given distance from it, one on each side. Here, the separation distance from AB is 1 cm, so your locus of points is the two lines parallel AB that are 1 cm from it on either side.

You might be interested in
Angelina factored (x - 4^8 ) and wrote that it was equal to (x^2 - 4^2)^2(x^2 + 4^2). Use complete sentences to explain how you
nikitadnepr [17]
Given is <span>(x - 4⁸)

</span>Her factors are <span>(x² - 4²)² (x² + 4²)

</span>Let us prove whether her solution is correct or not.
<span>
(x² - 4²)² (x² + 4²)</span>
(x⁴ - 4⁴) (x² + 4²) ; Follow PEMDAS rule as well as exponential multiplication rule which tells that when exponents are multiplied, the exponents will be added.

By using FOIL(First, Outside, Inside, Last) Method, we can prove if Angelina's solution is correct. NOTE: Do not disregard the positive or negative.

(<u>x⁴</u> - 4⁴) (<u>x²</u> + 4²) ; For the First, multiply the first terms. They are underlined.
This gives you a partial answer: x⁶ (Exponential Law of Multiplication is applied)

(<u>x⁴</u> - 4⁴) (x² <u>+ 4²</u>) ; For the Outside, multiply the outside terms. They are underlined. This gives you an additional to the partial answer: x⁶ + 4²x⁴

<span>(x⁴ <u>- 4⁴</u>) (<u>x²</u> + 4²) ; For the Inside, multiply the inside terms. They are underlined. This gives you an additional to the partial answer: </span>x⁶ + 4²x⁴ - 4⁴x²

(x⁴ <u>- 4⁴</u>) (x² <u>+ 4²</u>) ; For the Last, multiply the last terms. They are underlined. This will give you an additional to the final answer: x⁶ + 4²x⁴ - 4⁴x² - 16⁶ = 0

Final Answer in complete sentence:
The result of multiplying the factors is x⁶ + 4²x⁴ - 4⁴x² - 16⁶ = 0 and is too far compared to (x - 4⁸) which is already a factor.
8 0
3 years ago
Rationalize the denominator of the following expression and simplify:
Mama L [17]
To "rationalize the denominator" is another way to say, getting rid of that pesky radical at the bottom.

we'll simply start by multiplying top and bottom by the "conjugate" of the denominator, recall difference of squares, anyhow, let's do so

\bf \cfrac{6+\sqrt{2}}{5-\sqrt{2}}\cdot \cfrac{5+\sqrt{2}}{5+\sqrt{2}}\implies \cfrac{(6+\sqrt{2})(5+\sqrt{2})}{(5-\sqrt{2})(5+\sqrt{2})}\implies \cfrac{(6+\sqrt{2})(5+\sqrt{2})}{5^2-(\sqrt{2})^2}&#10;\\\\\\&#10;\cfrac{30+6\sqrt{2}+5\sqrt{2}+(\sqrt{2})^2}{25-2}\implies \cfrac{30+11\sqrt{2}+2}{23}\implies \cfrac{32+11\sqrt{2}}{23}
4 0
3 years ago
What is the value of x?
antoniya [11.8K]
Since the figure is a rhombus, the diagonals cut each other at right-angles and bisect each other, namely cut their vertices in equal halves.

what the dickens does all that mean?  well, the angles at vertex C and vertex A are all twins, and therefore, ∡BCA = x, therefore

\bf (3x-26)+(x)+(90)=180\implies 4x+64=180\implies 4x=116&#10;\\\\\\&#10;x=\cfrac{116}{4}\implies x=29
5 0
3 years ago
Read 2 more answers
How do you divide 12 by 5/6
sergeinik [125]
72/5 will be your answer
7 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST<br> 20 POINTS
jek_recluse [69]

Answer:

6

Step-by-step explanation:

y=\frac{1}{2} x+5\\y=\frac{2}{3}x+4\\\frac{1}{2}x+5=\frac{2}[3}x+4\\multiply by 6\\3x+30=4x+24\\4x-3x=30-24\\x=6

6 0
3 years ago
Other questions:
  • The trigonometric ratios sine and secant are reciprocals of each other true or false?
    15·2 answers
  • What is 8/11 divided by 6/7
    15·1 answer
  • Identify the vertex, the axis of symmetry and the y intercept of the parabola below.<br>please.​
    13·2 answers
  • If right I’ll mark brainiest
    13·1 answer
  • Pineview Middle School has 158 fewer students enrolled than Wellington Middle School. If Pineview Middle has 1039 students enrol
    7·1 answer
  • A football field not including the end zones is 100 yards long. How long is the football field in feet
    9·1 answer
  • *PART D QUESTIONS ONLY*
    11·1 answer
  • Plese help me thank you!
    14·1 answer
  • Which of the following describe 8? Select all that apply.
    11·1 answer
  • What does 17/10x 10/17 equal
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!