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
mezya [45]
3 years ago
15

Find the distance between the points (3, 8) and (-1, 9).

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
4 0
---------------------------------------------------
Formula
---------------------------------------------------
\text {Distance } =  \sqrt{ (X_1-X2)^{2} + (Y_1-Y_2)^{2} }

---------------------------------------------------
Find the distance
---------------------------------------------------
Given the point (3, 8) and (-1, 9)

\text {Distance } =  \sqrt{ (3-(-1))^{2} + (8 - 9)^{2} }

\text {Distance } =  \sqrt{(4)^{2} + (-1)^{2} }

\text {Distance } =  \sqrt{16+ 1 }

\text {Distance } =  \sqrt{17 }

\text {Distance } = 4.12 \ units


You might be interested in
Help me fill in the blanks pleasee
777dan777 [17]

Answers and Step-by-step explanations:

Let's look at the first row:

cost = _______ + _______ * (monthly payment)

The first blank should be the "down payment" because this is the initial, constant value that is paid. The second blank should be the "number of months" because this way, when multiplied by the actual amount each payment is (monthly payment), then we get the total amount paid during those months.

So, we have:

cost = (down payment) + (number of months) * (monthly payment)

Now for the second row, we just plug in numbers and variables:

335 = 50 + 6 * p

Finally, we can solve for p:

335  = 50 + 6p

6p = 285

p = $47.50

8 0
2 years ago
Read 2 more answers
For the following problem, assume that all given angles are in simplest form, so that if A is in QIV you may assume that 270° &l
d1i1m1o1n [39]

Answer:

Step-by-step explanation:

Given that angle A is in IV quadrant

So A/2 would be in II quadrant.

sin A = -1/3

cos A = \sqrt{1-sin^2 A} =\frac{2\sqrt{2} }{3}

(cos A is positive since in IV quadrant)

Using this we can find cos A/2

cosA = 2cos^2 \frac{A}{2} -1\\Or cos \frac{A}{2} =-\sqrt{\frac{1+cosA}{2} } =-\sqrt{\frac{3+2\sqrt{2} }{6} }

3 0
2 years ago
Dada la siguiente serie numérica: ..., –7, -4, -1, 2, 5, ... ¿Cuál es la suma del número entero
Ymorist [56]

Answer:

-5

Step-by-step explanation:

el número anterior a -7 es -10 y -10+5 es -5

4 0
3 years ago
Determine the singular points of the given differential equation. Classify each singular point as regular or irregular. (Enter y
ludmilkaskok [199]

Answer:

Step-by-step explanation:

Given that:

The differential equation; (x^2-4)^2y'' + (x + 2)y' + 7y = 0

The above equation can be better expressed as:

y'' + \dfrac{(x+2)}{(x^2-4)^2} \ y'+ \dfrac{7}{(x^2- 4)^2} \ y=0

The pattern of the normalized differential equation can be represented as:

y'' + p(x)y' + q(x) y = 0

This implies that:

p(x) = \dfrac{(x+2)}{(x^2-4)^2} \

p(x) = \dfrac{(x+2)}{(x+2)^2 (x-2)^2} \

p(x) = \dfrac{1}{(x+2)(x-2)^2}

Also;

q(x) = \dfrac{7}{(x^2-4)^2}

q(x) = \dfrac{7}{(x+2)^2(x-2)^2}

From p(x) and q(x); we will realize that the zeroes of (x+2)(x-2)² = ±2

When x = - 2

\lim \limits_{x \to-2} (x+ 2) p(x) =  \lim \limits_{x \to2} (x+ 2) \dfrac{1}{(x+2)(x-2)^2}

\implies  \lim \limits_{x \to2}  \dfrac{1}{(x-2)^2}

\implies \dfrac{1}{16}

\lim \limits_{x \to-2} (x+ 2)^2 q(x) =  \lim \limits_{x \to2} (x+ 2)^2 \dfrac{7}{(x+2)^2(x-2)^2}

\implies  \lim \limits_{x \to2}  \dfrac{7}{(x-2)^2}

\implies \dfrac{7}{16}

Hence, one (1) of them is non-analytical at x = 2.

Thus, x = 2 is an irregular singular point.

5 0
3 years ago
What is the estimate of 1/2+1/6?
erastovalidia [21]
<span>2 — = 0.66667 3 hello

</span>
6 0
2 years ago
Read 2 more answers
Other questions:
  • A carpenter cut a board 3 3/4 feet long to make a shelf. Before he cut the board, it was 10 1/2 feet long.
    15·2 answers
  • A huge suspended LED screen is the centerpiece of The Place, a popular mall in Beijing, China. Find the length and width of a si
    11·1 answer
  • Tyson multiplies 75 by 1.15. Which number might Tyson be trying to find?
    14·2 answers
  • What is the slope of the line in the graph?
    15·1 answer
  • Can someone plz help me
    11·2 answers
  • What are the missing terms???
    9·1 answer
  • Round 14.561 to two decimal places
    8·1 answer
  • Please help! Dylan decides to take his friends to a movie. He wants to spend no more than $50. He must take one adult with him.
    10·1 answer
  • Fill in the blank <br> 30.030___30.03
    15·2 answers
  • A couch that regularly sells for $450<br> was discounted by 30% off.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!