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
AleksAgata [21]
3 years ago
14

A line passes through (-4,8) and (6,10). What is the equation of the line?

Mathematics
1 answer:
Sophie [7]3 years ago
4 0

Answer:

i think 77

Step-by-step explanation:

You might be interested in
Find an example for each of vectors x, y ∈ V in R.
rjkz [21]

(a) Both conditions are satisfied with <em>x</em> = (1, 0) for \mathbb R^2 and <em>x</em> = (1, 0, 0) for \mathbb R^3:

||(1, 0)|| = √(1² + 0²) = 1

max{1, 0} = 1

||(1, 0, 0)|| = √(1² + 0² + 0²) = 1

max{1, 0, 0} = 1

(b) This is the well-known triangle inequality. Equality holds if one of <em>x</em> or <em>y</em> is the zero vector, or if <em>x</em> = <em>y</em>. For example, in \mathbb R^2, take <em>x</em> = (0, 0) and <em>y</em> = (1, 1). Then

||<em>x</em> + <em>y</em>|| = ||(0, 0) + (1, 1)|| = ||(1, 1)|| = √(1² + 1²) = √2

||<em>x</em>|| + ||<em>y</em>|| = ||(0, 0)|| + ||(1, 1)|| = √(0² + 0²) + √(1² + 1²) = √2

The left side is strictly smaller if both vectors are non-zero and not equal. For example, if <em>x</em> = (1, 0) and <em>y</em> = (0, 1), then

||<em>x</em> + <em>y</em>|| = ||(1, 0) + (0, 1)|| = ||(1, 1)|| = √(1² + 1²) = √2

||<em>x</em>|| + ||<em>y</em>|| = ||(1, 0)|| + ||(0, 1)|| = √(1² + 0²) + √(0² + 1²) = 2

and of course √2 < 2.

Similarly, in \mathbb R^3 you can use <em>x</em> = (0, 0, 0) and <em>y</em> = (1, 1, 1) for the equality, and <em>x</em> = (1, 0, 0) and <em>y</em> = (0, 1, 0) for the inequality.

(c) Recall the dot product identity,

<em>x</em> • <em>y</em> = ||<em>x</em>|| ||<em>y</em>|| cos(<em>θ</em>),

where <em>θ</em> is the angle between the vectors <em>x</em> and <em>y</em>. Both sides are scalar, so taking the norm gives

||<em>x</em> • <em>y</em>|| = ||(||<em>x</em>|| ||<em>y</em>|| cos(<em>θ</em>)|| = ||<em>x</em>|| ||<em>y</em>|| |cos(<em>θ</em>)|

Suppose <em>x</em> = (0, 0) and <em>y</em> = (1, 1). Then

||<em>x</em> • <em>y</em>|| = |(0, 0) • (1, 1)| = 0

||<em>x</em>|| • ||<em>y</em>|| = ||(0, 0)|| • ||(1, 1)|| = 0 • √2 = 0

For the inequality, recall that cos(<em>θ</em>) is bounded between -1 and 1, so 0 ≤ |cos(<em>θ</em>)| ≤ 1, with |cos(<em>θ</em>)| = 0 if <em>x</em> and <em>y</em> are perpendicular to one another, and |cos(<em>θ</em>)| = 1 if <em>x</em> and <em>y</em> are (anti-)parallel. You get everything in between for any acute angle <em>θ</em>. So take <em>x</em> = (1, 0) and <em>y</em> = (1, 1). Then

||<em>x</em> • <em>y</em>|| = |(1, 0) • (1, 1)| = |1| = 1

||<em>x</em>|| • ||<em>y</em>|| = ||(1, 0)|| • ||(1, 1)|| = 1 • √2 = √2

In \mathbb R^3, you can use the vectors <em>x</em> = (1, 0, 0) and <em>y</em> = (1, 1, 1).

8 0
3 years ago
If w # 0, what is the additive inverse of the
laila [671]

The additive inverse of the expression -3/w is 3/w

<h3>How to determine the additive inverse?</h3>

The expression is given as:

-3/w

The law of additive inverse states that

For an expression x, the additive inverse is -x

This means that the additive inverse of the expression -3/w is 3/w

Hence, the additive inverse of the expression -3/w is 3/w

Read more about additive inverse at

brainly.com/question/1548537

#SPJ1

If w≠0, what is the additive inverse of the expression below? -3/w

7 0
1 year ago
Find the value of C.
Elan Coil [88]

Answer:

C

Step-by-step explanation:

We already know that a right angle is 90° and where C is in the picture shows us an obtuse angle making it beleive that it must be above 90°, which leaves us with C as our final answer and is the only answer that makes sense to be correct. Hopefully this helped you.

5 0
3 years ago
What is the quotient? Negative StartFraction 3 over 8 EndFraction divided by negative one-fourth
anyanavicka [17]

Answer:

\dfrac{3}{2}

Step-by-step explanation:

We are given 2 fractions.

1st fraction is Negative StartFraction 3 over 8

i.e.

-\dfrac{3}{8}

2nd fraction is negative one-fourth

i.e.

-\dfrac{1}{4}

We have to find the quotient when 1st fraction is divided by 2nd fraction.

<u>Definition</u> of quotient is given as:

Quotient is the result obtained when one number is divided by other number.

-\dfrac{3}{8} \div -\dfrac{1}{4} \text{ is to be calculated.}

\div is converted to \times and the 2nd fraction is reversed i.e.

if the fraction is \frac{p}{q} it becomes \frac{q}{p} and the sign \div is changed to \times.

Solving above:

-\dfrac{3}{8} \times -\dfrac{4}{1}\\ \text {Multiplication/Division of 2 negative number gives a positive number}\\\Rightarrow \dfrac{3}{2}

So, the quotient is \frac{3}{2}.

6 0
3 years ago
Charles owes $2,500 on a credit card. The card charges 12% interest compounded continuously. Write a formula that describes how
ella [17]

Answer:

  see below

Step-by-step explanation:

The formula for the amount resulting from P earning interest at rate r continuously compounded is ...

  A = Pe^(rt)

for P=2500 and r=0.12, this becomes ...

  A = 2500e^(0.12t)

4 0
3 years ago
Other questions:
  • Consider the matrix
    15·1 answer
  • 4x = 12x + 32 ? plz help me
    15·2 answers
  • If 5/9 of a tank can be filled in 2 minutes how many minutes will it take to fill the whole tank
    5·1 answer
  • True painful question. If you get it right, automatic brainliest. 5 stars and thanks for ALL, even for comments. I am sorry for
    13·1 answer
  • Which of the following represents 10% of 45,000?<br>O 4.5<br>45<br>0 450<br>O 4.500​
    11·2 answers
  • The difference between 4 and the product of 3 times b​
    6·1 answer
  • Plssss hurryyy
    14·1 answer
  • Please help with answers I need them as soon as possible!
    14·1 answer
  • Which table does NOT represent a linear function?
    14·2 answers
  • The volume of a sphere is 3000 m. What is the surface area of the sphere to the nearst square meter.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!