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3 years ago

If the perimeter of a square is 20, what is the length of the diagonal ?

Mathematics

1 answer:

Rina8888 [55]3 years ago

7 0

Answer:

Step-by-step explanation:

if you know that the perimeter is 20,

then you have to divide by 4 to get the length of one side

20/4=5.

Draw the diagonal and write in it's length as x.

Use Pythagorean formula

Then know that a2+b2=c2

and use the two side lengths as a and b.

This gives you the equation

5^2+5^2=x^2.

Do the calculations and solve the equation.

25+25=x^2

50=x^2

√50=x.

Therefore x=√50 where x equals the length of the diagonal.

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given that g(×)=<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20-%203%7D%7Bx%20%20%2B%204%7D%20" id="TexFormula1" title=" \fr

valkas [14]

ANSWER:

$\begin{gathered} a)\text{ 6} \\ b)\text{ 0} \\ c)\text{ inderminate} \\ d)\text{ 1.6} \\ e)\text{ }\frac{x+h-3}{x+h+4} \end{gathered}$

STEP-BY-STEP EXPLANATION:

We have the following function

$g(x)=\frac{x-3}{x+4}$

Now, we calculate for each case the result of the function.

a) g(6)

$g(6)=\frac{6-3}{6+4}=\frac{3}{10}$

b) g(3)

$g(3)=\frac{3-3}{3+4}=\frac{0}{7}=0$

c) g(-4)

$g(-4)=\frac{-4-3}{-4+4}=-\frac{7}{0}=\text{ inderminate}$

d) g(-15.75)

$g(-15.75)=\frac{-15.75-3}{-15.75+4}=\frac{-18.78}{-11.75}=1.59\cong1.6$

e) g(x+h)

$g(x+h)=\frac{x+h-3}{x+h+4}$

7 0

2 years ago

F(x)=(x-2)(x+4) what is the y-intercept and x-intercept

GarryVolchara [31]

Answer:

x-int=-8, y-int=2,-4

Step-by-step explanation:

for the x-int

you set x to 0 then solve the equation to get -8

for the y-int

you set y(or in this case f(x)) to 0 then solve. You solve this by spilting this into 2 linear equations; x-2=0 and x+4=0, then you solve them both to get the two y-intercepts, 2 and -4

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3 years ago

I would really like some help! will name brainlyest if right!!

Aloiza [94]

C i think is the answer

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3 years ago

Help please this is a quiz

aleksley [76]

Answer:

x^3 - 3x^2 +2x

Step-by-step explanation:

Use the distributive property

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3 years ago

Read 2 more answers

there are 8 people fishing at lake connor: 5 have fishing licenses, and 3 do not. an inspector chooses two of the people at rand

lianna [129]

Answer:

3 have a license, 5 do not have a license

the first choice is 5 out of 8, or 5/8

the second choice is 4 out of 7, or 4/7

(5/8)*(4/7)=20/56=10/28=5/14

another way to look at it is...

how many ways can you choose 2 people out of 8 people ?

8!/2!(8-2)!=8!/2!*6!=8*7/2=56/2=28 ways

how many ways can you choose 2 people out of 5 people ?

5!/2!(5-2)!=5!/2!*3!=5*4/2=20/2=10

10/28=5/14 again

call the 5 people who don't have a license A,B,C,D, and E

how can they be paired together ?

AB,AC,AD,AE,BC,BD,BE,CD,CE, and DE for a total of 10

again 10/28=5/14

5 0

4 years ago