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OlgaM077 [116]
2 years ago
11

Create the equation of the line that passes through the point (1, -10) and is perpendicular to y=-1/3x+5

Mathematics
1 answer:
Ber [7]2 years ago
4 0

Answer:

y = 3x - 13

Step-by-step explanation:

y = -1/3x + 5

Perpendicular lines have slopes that are negative reciprocals of one another

so slope of perpendicular line is 3

y = mx + b

y = 3x + b

Using (1,-10)

-10 = 3(1) + b

-10 = 3 + b

b = -13

y = 3x - 13

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jenna has a piece of paper that is 84 square inches in area. it is 10 1/2 inches long. what is the length of the piece of paper
skad [1K]
Here is the solution based on the given problem above.
Given: Area of the piece of paper = 84 square inches
           Width = 10 1/2 or 10.5 inches long
           ? = length of the piece of paper
To find the area of an object, the formula would be A= L x W
Now, let's substitute the given values above
84in2 = L(10.5in)
Now, divide both sides with 10.5 and we get 8.
L = 8 inches.
Therefore, the length of the paper is 8 inches. 
Hope this solution helps. 
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3 years ago
How do you expand brackets
Olenka [21]

Answer:

multiply each term in the bracket by the expression outside the bracket

:)

Step-by-step explanation:

7 0
3 years ago
A shopkeeper allows 10% discount on the marked price of a bicycle. If a costomer pays Rs 4068 with 13% VAT find the marked price
Over [174]

\large{ \tt{❁ \: S \: O \: L \: U \: T \: I \: O \: N \: ❁}}

  • We're provided - Discount % = 10 % , Cost with VAT [ SP with VAT ] = Rs 4068 & VAT % = 13%. We're asked to find out the marked price of the bicycle. Let's start :

\large{ \tt{❇ \: FIND \: SP \: WITHOUT \: VAT \: / \: SP\: ❇}}

\large{ \tt{❃ \: SP  \: with \: VAT= SP + VAT\% \: of \: SP}}

\large{ \tt{⇢ \: 4068 = SP + 13\% \: of \: SP}}

\large{ \tt{⇢ \: 4068 = SP +  \frac{13}{100}  \: sp}}

\large{ \tt{⇢ \: 4068 =  \frac{100 \:  \: SP + 13 \: SP}{100} }}

\large{ \tt{⇢ \: 4068 =  \frac{113 \: SP}{100} }}

\large{ \tt{⇢ \: 113 \: SP = 406800}}

\large{ \tt{⇢ \: SP =  \frac{406800}{113} }}

\large{ \tt{⇢ \: SP = 3600}}

  • Hence , SP = Rs 3600

\large{ \tt{✽ \: NOW , \: FIND \: THE \: MP \:✽ }}

  • Let Marked Price [ MP ] be x.

\large {\tt{❃ \: SP = MP - dis\% \: of \: MP}}

\large{ \tt{⇾ \: 3600 = x - 10\% \: of \: x}}

\large{ \tt{⇾ \: 3600 = x -  \frac{10}{100} } \: x}

\large{ \tt{⇾ \: 3600 =  \frac{100x - 10x}{100} }}

\large{ \tt{⇾ \: 3600 =  \frac{90x}{100} }}

\large{ \tt{⇾ \: 90x = 360000}}

\large{ \tt{⇾ \: x =  \frac{360000}{90} }}

\large{ \tt{⇾ \: x = Rs \: 4000}}

\large{ \boxed{ \boxed{ \tt{☂ \: OUR \: FINAL \: ANSWER :  \boxed {\tt {\: Rs \: 4000}}}}}}

  • Hope I helped! Let me know if you have any questions regarding my answer and don't hesitate to reach out to me if you need any assistance! :)
6 0
3 years ago
Solve the equation. (Find only the real solutions. Enter your answers as a comma-separated list.) x4 − 8x2 + 7 = 0
ryzh [129]

Answer: x=0 or x= plus or minus 2

Step-by-step explanation:

g(x)=x^4-8x^2+7

Critical numbers are the numbers where the first derivative is zero

g'(x)=4x^3-16x+0

=4x^3-16x

g'(x)=0

Implies

4x^3-16x=0

4x(x^2-4)=0

4x=0 OR x^2-4=0

x=0 or x^2=4

x=0 or x= plus or minus 2

5 0
3 years ago
Which fraction has the greatest value 1/3 2/10 1/6 or 2/7
Solnce55 [7]

1/3 has the greatest value

7 0
3 years ago
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