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gregori [183]
3 years ago
8

What’s the distance between 4,-2 and 6,-1

Mathematics
2 answers:
Alex787 [66]3 years ago
7 0

Answer:

√5

Step-by-step explanation:

( 4,-2 )=(x_1,y_1)\\( 6,-1)=(x_2,y_2)\\\\d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\d =\sqrt{\left(6-4\right)^2+\left(-1-\left(-2\right)\right)^2}\\\\d=\sqrt{\left(6-4\right)^2+\left(-1+2\right)^2}\\\\d=\sqrt{2^2+1^2}\\\\d =\sqrt{4+1}\\\\d=\sqrt{5}

Shalnov [3]3 years ago
5 0
Hello! I hope this helps
You might be interested in
X + y = so please help me out
sladkih [1.3K]

Answer: x + y = z

Example:

Lets say if x 5 and y is 10 then z would equal 15.

5 + 10 = 15

Hope this helped! :)

3 0
3 years ago
If u-ai + bj and v-ci + dj are vectors, then which of the following statements is not true?
alukav5142 [94]

Answer:

Option C

Step-by-step explanation:

Given that u-ai + bj and v-ci + dj are vectors

We have dot product

u.v = (ai+bj).(ci+dj) hence inner product of u and v.  So option a is true

The dot product of u and v is a scalar is true because dot product is always a scalar

The dot product of u and v is a vector. is false because dot product is only a scalar and has no direction and hence cannot be a vector

The dot product of u and v is given by the expression ac+bd

True because we multiply corresponding i components and j components and add.

So only C is not true.

7 0
3 years ago
What are the vertical asymptotes of the function f(x) =5x+5/x2 + x-2
katen-ka-za [31]

let's recall that the vertical asymptotes for a rational expression occur when the denominator is at 0, so let's zero out this one and check.

\bf \cfrac{5x+5}{x^2+x-2}\qquad \stackrel{\textit{zeroing out the denominator}~\hfill }{x^2+x-2=0\implies (x+2)(x-1)=0}\implies \stackrel{\textit{vertical asymptotes}}{ \begin{cases} x=-2\\ x=1 \end{cases}}

5 0
3 years ago
Don put $4,000 in a savings account with an interest rate of 4% for three years. If the interest is compounded annually, how muc
miskamm [114]

Answer:

$4,499.46

Step-by-step explanation:

We can use the compound interest formula for this problem:

A=P(1+\frac{r}{n} )^{nt}

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, lets change 4% into a decimal:

4% -> \frac{4}{100} -> 0.04

Now lets plug the values into the equation as shown below:

A=4,000(1+\frac{0.04}{1})^{1(3)}

A=4,499.46

Don will have $4,499.46 at the end of the three years.

4 0
3 years ago
Find the value of x so that line m is parallel to line l.
RideAnS [48]

Answer:

-17

Step-by-step explanation:

The angles are corresponding angles so when the lines are parallel, the lines are equal

3x-12 = 4x+5

Subtract 3x from each side

3x-12 -3x = 4x+5-3x

-12 = x+5

Subtract 5 from each side

-12 -5 = x+5-5

-17 = x

4 0
3 years ago
Read 2 more answers
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