All categories

3 years ago

What is the distance between the two endpoints in the graph below? If necessary, round your answer to two decimal places.

Mathematics

1 answer:

melisa1 [442]3 years ago

8 0

Answer: Choice D) 7.21 units

-----------------------------------------------------------------------------------------------

Work Shown:

Using the distance formula, we get
d = sqrt( (x2-x1)^2 + (y2-y1)^2 )
d = sqrt( (1-(-3))^2 + (-3-3)^2 )
d = sqrt( (1+4)^2 + (-3-3)^2 )
d = sqrt( (4)^2 + (-6)^2 )
d = sqrt( 16 + 36 )
d = sqrt( 52 )
d = 7.21110255 *** see note below ***
d = 7.21

Note: Use a calculator with a square root function. The value is approximate.

You might be interested in

29 thousands = blank

kifflom [539]

29000? .... what exactly are you supposed to be finding

8 0

3 years ago

Read 2 more answers

(5.9)(1.102)<br><br><br> What’s does that mean

Leona [35]

Answer:

brackets stand for multiplication therefore this means multiply 5.9 by 1.102..

I hope this helps and sorry if it's wrong

6 0

3 years ago

Read 2 more answers

Find the fraction of stundents enrolled in each language

blondinia [14]

Fraction of students enrolled in Chinese = $\frac{51}{126}$

Fraction of students enrolled in French = $\frac{33}{126}$

Fraction of students enrolled in Spanish = $\frac{42}{126}$

Solution:

Total number of students = 51 + 33 + 42

= 126

Number of students enrolled in Chinese = 51

Fraction of students enrolled in Chinese

$$=\frac{\text{Number of students enrolled in Chinese}}{\text{Total number of students}}$

$$=\frac{51}{126}$

Fraction of students enrolled in Chinese = $\frac{51}{126}$

Number of students enrolled in French = 33

Fraction of students enrolled in French

$$=\frac{\text{Number of students enrolled in French}}{\text{Total number of students}}$

$$=\frac{33}{126}$

Fraction of students enrolled in French = $\frac{33}{126}$

Number of students enrolled in Spanish = 42

Fraction of students enrolled in Spanish

$$=\frac{\text{Number of students enrolled in Spanish}}{\text{Total number of students}}$

$$=\frac{42}{126}$

Fraction of students enrolled in Spanish = $\frac{42}{126}$

7 0

3 years ago

Solve this equation pls

Aleksandr-060686 [28]

Answer:

${ \rm{y = \frac{3 \sqrt{x} + 2x}{ {4x}^{2} } }} \\$

• We are gonna use the quotient rule

${ \boxed{ \bf{ \frac{dy}{dx} = \frac{ {\huge{v} } \frac{du}{dx} - { \huge{u}} \frac{dv}{dx} }{ {v}^{2} } }}} \\$

u is (3√x + 2x)
v is 4x²
du/dx is 3/2√x
dv/dx is 8x

• Therefore:

${ \rm{ \frac{dy}{dx} = \frac{(4 {x}^{2})( \frac{3}{2 \sqrt{x} }) - (3 \sqrt{x} + 2x)(8x) }{16 {x}^{4} } }} \\ \\ { \rm{ \frac{dy}{dx} = \frac{(6 {x}^{2})( {x}^{ - \frac{1}{2} } ) - (24 {x}^{ \frac{3}{2} } + 16 {x}^{2} ) }{16 {x}^{4} } }} \\ \\ { \rm{ \frac{dy}{dx} = \frac{ 6 {x}^{ \frac{3}{2} } - {24x}^{ \frac{3}{2} } - {16x}^{2} }{16 {x}^{4} } }} \\ \\ { \rm{ \frac{dy}{dx} = \frac{ - 18 {x}^{ \frac{3}{2} } - 16 {x}^{2} }{16 {x}^{4} } }} \\ \\ { \rm{ \frac{dy}{dx} = - 2 {x}^{ \frac{3}{2} } (9 + 8 {x}^{ \frac{4}{3} } ) \div 16 {x}^{4} }} \\ \\ { \boxed{ \boxed{ \rm{ \: \: \frac{dy}{dx} = - \frac{8 \sqrt{ {x}^{ \frac{8}{3} }} + 9}{8x {}^{ \frac{8}{3} } } \: \: }}}}$

5 0

3 years ago

Read 2 more answers

Can someone please please help me?? :(

salantis [7]

Answer:

-60 3/4m

Step-by-step explanation:

The diver first dives down 50 1/4m, which is represented by the -50 1/4m. He then descends another 10 1/2m down. So -50 1/4m - 10 1/2m.

-50-10=-60

-(1/4)-(1/2)= (1/4)+(1/2)

(1/4+1/2)=(2/8+4/8) you can only add with the same denominators.

=6/8 (simplifies down to 3/4)

8 0

3 years ago