20% a number is 6. Determine the value of the number

I need help... the question is confusing

ziro4ka [17]

$\bf \stackrel{line~J}{y+8=-(x-2)}\implies y+8=-x+2
\\\\\\
y=-x-6\implies y=\stackrel{slope}{-1}x-6$

now we know the slope of line J is -1.

a line perpendicular to J, will have a negative reciprocal slope, therefore,

$\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad -1\implies \cfrac{-1}{\underline{1}}\\\\
negative\implies +\cfrac{1}{{{ \underline{1}}}}\qquad reciprocal\implies + \cfrac{{{ \underline{1}}}}{1}\implies 1$

therefore, line K has a slope of 1, and passes through 3,4,

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1\\
% (a,b)
&&(~{{ 3}} &,&{{ 4}}~)
\end{array}
\\\\\\
% slope = m
slope = {{ m}}\implies 1
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-4=1(x-3)\implies y-4=x-3
\\\\\\
y=x+1$

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%5Cbold%7B%5Cunderline%7B%5Cunderline%7BQuestion%3A%7D%7D%7D%7D" id="TexForm

Ronch [10]

Answer:

Step-by-step explanation:

<h3>Question:-</h3>

To find the Binomial theorem form of $\bold{(4t-3)^{5}}$

As in Binomial theorem :-

${(x - y)}^{5} = {x}^{5} - 5 {x}^{4} y + 10 {x}^{3} {y}^{2} - 10 {x}^{2} {y}^{3} + 5x {y}^{4} - {y}^{5}$

<h3>Solution :-</h3>

$= {(4t - 3)}^{5}$

Hence, on using the Binomial theorem,

$= {(4t)}^{5} - 5 {(4t)}^{4} (3)+ 10 {(4t)}^{3} {(3)}^{2} - 10 {(4t)}^{2} {(3)}^{3} + 5(4t) {(3)}^{4} - {(3)}^{5}$

On formatting

$= {1024t}^{5} - 5 ({256t}^{4} )(3)+ 10 ({64t}^{3} ) (9 ) - 10 ({16t}^{2} )(27) + 5(4t) (81) - 243$

On further formatting.

$= {1024t}^{5} - 3840{t}^{4} + 5760{t}^{3} - 4320{t}^{2} + 1620t- 243$

Hence, the required answer is :-

${1024t}^{5} - 3840{t}^{4} + 5760{t}^{3} - 4320{t}^{2} + 1620t- 243$

6 0

3 years ago

Joy ate 1/4 of a pizza. If she divides the rest of the pizza into pieces equal to 1/8 pizza for her family how many pieces will

Ostrovityanka [42]

Joey will give his family 6 pieces of pizza

7 0

4 years ago

Read 2 more answers

Expand the following 3(x+9)

mina [271]

Answer: I'm pretty sure its 3x+27

Step-by-step explanation: So all you have to do is multiply everything in the parentheses by 3. So you would do 3 times x and it would be 3x and then 3 times 9 which will get you 27. After you just put it back into a equation 3x+27

5 0

3 years ago

A man bought a car for Gh55,000.00 and sold it for Gh65,000.00. Find the percentage gain.

IgorLugansk [536]

Answer:

18.18%

Step-by-step explanation:

(65000-55000)/55000×100

5 0

2 years ago