All categories

4 years ago

Use the distance formula to find the length of segment QR if Q is (2,4) and R is (-3,9) Round to the nearest tenth

Mathematics

1 answer:

Dima020 [189]4 years ago

5 0

Answer:

<h2>The answer is 7.1 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

Q (2,4) and R (-3,9)

The distance between them is

$|QR| = \sqrt{ ({2 + 3})^{2} + ( {4 - 9})^{2} } \\ = \sqrt{ {5}^{2} + ( { - 5})^{2} } \\ = \sqrt{25 + 25} \\ = \sqrt{50} \\ = 5 \sqrt{2} \\ = 7.0710678...$

We have the final answer as

<h3>7.1 units to the nearest tenth</h3>

Hope this helps you

You might be interested in

3-4 (-2-4J)=118-11 solve for J

OleMash [197]

3-4(-2-4J)=118-11
3+8+16J=107
11+16J=107
16J=96
J=6

4 0

3 years ago

To eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before ad

aliya0001 [1]

Answer:

See below.

Step-by-step explanation:

Here is an example:-

Solve by elimination:

2x - 3y = 0

3x + 2y = 13

To eliminate the y terms Multiply the first equation by 2 and the second by 3. This gives:

4x - 6y = 0

9x + 6y = 39 Adding the 2 equations:

13x + 0 = 39

13x = 39

x = 39/13 = 3

Finally we find y by plugging x = 3 into the first equation:

2(3) - 3y = 0

3y = 2(3) = 6

y = 2.

4 0

2 years ago

Quickly compute the following differences of squares. (a). 64^2 − 14^2 (b). 112^2 − 88^2 (c). 785^2 − 215^2

VikaD [51]

Answer:

(a) 3900

(b) 4800

Step-by-step explanation:

We have given

(a) $64^2-14^2$

We know the algebraic equation $a^2-b^2=(a+b)(a-b)$

So $64^2-14^2=(64+14)(64-14)=3900$

(b) We know the algebraic equation $a^2-b^2=(a+b)(a-b)$

$112^-88^2=(112+88)(112-88)=4800$

$785^2-215^2=(785+215)(785-215)=570000$

5 0

3 years ago

Elaine is decorating for a party. She cuts 3 equal length streamers from a strip of purple paper that is 8 feet long. How long i

inn [45]

8/ 3 = 2.666 or 2 and 2/3

4 0

3 years ago

Read 2 more answers

In a conjunction, / is true when both / and / are _____; otherwise, / is _____. A. true . . . true B. true . . . false C. false

elena-14-01-66 [18.8K]

The answer to this question would be OPTION B.In a conjunction, / is true when both / and / are TRUE; otherwise, / is FALSE.

A conjunction refers to a compound statement, developed by combining two statement often through the use of the word 'AND'. For example, the two statements, 'Roses are Red' (statement p) .... 'Violets are Blue' (statement q), can be combined to form a conjunction that reads 'Roses are Red and Violets are Blue.' When it comes to conjunctions, it is or equivalent to the intersection of the two sets of statements (p and q → p ∩ q) which therefore means that in order for the conjunction to be true, both statements must be true, otherwise, the conjunction is false.

Attached below is a truth table that seeks to further explain the point (note: ^ represent the conjunction).

6 0

3 years ago

Read 2 more answers