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JulijaS [17]
2 years ago
12

Write an equation of the line that passes through (1,-3) and is perpendicular to the line

-%5Cfrac%7B1%7D%7B3%7Dx%2B5" id="TexFormula1" title="y=-\frac{1}{3}x+5" alt="y=-\frac{1}{3}x+5" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
3 0

Answer:

y = 3x

Step-by-step explanation:

Given line slope = m = -1/3

   perpendicular line slope = - 1/m = 3

Point slope form through point 1, - 3

(y+3) = 3 ( x-1)       expand and rearrange

y -3 = 3x- 3

  y = 3x - 6  

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How do I Rewrite the function by completing the square x^2+8x-29
Flura [38]

Answer:

  (x +4)^2 -45

Step-by-step explanation:

The square of a binomial has the form ...

  (x +a)^2 = x^2 +2ax +a^2

That is, the constant term (a^2) is the square of half the coefficient of the linear term: (2a/2)^2 = a^2.

To "complete the square", you add 0 in the form of the desired constant added to its opposite. Here, we want the constant for the square to be (8/2)^2 = 16. So, we can add 0 = 16 -16 to the expression:

  x^2 +8x +16 -29 -16

  (x^2 +8x +16) -45 . . . . group the terms that make the square

  (x +4)^2 -45 . . . . rewritten after completing the square

5 0
3 years ago
1. In the figure, m DE = 106 degrees and m BC = 62 degrees. The diagram is not to scale.
k0ka [10]
For question 1, the formula for that is m1= 1/2(a-b). 106 being A and 62 being B. You should get m1=.5*(106-62) which equals B.22
8 0
3 years ago
Simplify the following without using a calculator<br>a)<br>- 4 x (8-(-3)) + 7​
bulgar [2K]
-4(8-(-3))+7

Remove the parentheses, negative with negative will equal a positive so the new equation will be -4(8+3)+7. So 8+3=11, -4(11)+7. -4(11)=-44 and then add -44+7 which will equal -37
3 0
3 years ago
If you draw a card with a value of 4 or less from a standard deck of cards, I will pay you 165$ if not your pay me $45. (Aces ar
jekas [21]

Answer: The required expected value is $3.46.

Step-by-step explanation:

Since we have given that

Number of value of 4 or less are

2,3,4

So, there are 12 in numbers.

So, probability would be

\dfrac{12}{52}

Since Aces are considered as the highest card in the deck.

So, remaining probability would be

\dfrac{40}{12}

Amount paid or value of 4 or less = $165

Amount not paid for other case = $45

So, the expected value would be

\dfrac{12}{52}\times 165-\dfrac{40}{52}\times 45\\\\=\dfrac{1980}{52}-\dfrac{1800}{52}\\\\=\dfrac{180}{52}\\\\=3.46

Hence, the required expected value is $3.46.

7 0
3 years ago
can some one explain to me how fractions work who ever explains it well gets brainliest, adding, subtracting, multiplying, divid
Ludmilka [50]
Adding: When adding fractions, you want to make sure that the denominator is the same for both fractions. If they are already the same, just add both the numerators to get the answer. For example,
\frac{3 }{5}  +  \frac{1}{5}  =  \frac{4}{5}
If the denominator is different in both fractions, you have to find the least common denominator, or LCD. The LCD is the smallest number that both denominators can multiply into. For example, say you need to find
\frac{1}{6}  +  \frac{1}{3}

Multiply both the numerator and the denominator of (1/3) by 2 to get (2/6). This way, the denominators are the same and you can find the answer.
\frac{1}{6}  +  \frac{2}{6}  =  \frac{3}{6}
In the case that one denominator does not go into the other, find the smallest number they both multiply into. For example,
\frac{1}{3 }  +  \frac{1}{4}
Here, the smallest number that both 4 and 3 multiply into is 12. Multiply both fractions by the correct amount to make both denominators 12. It would then become
\frac{4}{12}  +  \frac{3}{12}  =  \frac{7}{12}
Subtraction: follow the same rules as addition, except subtract the numerators instead of adding them.

Multiplication: multiply both numerators and both denominators.
\frac{2}{3}  \times  \frac{4}{5}  =  \frac{8}{15}
Division: Flip one of the fractions and multiply.
\frac{2}{3}   \div   \frac{4}{5}
Becomes
\frac{2}{3}  \times  \frac{5}{4}  =  \frac{10}{12}  =  \frac{5}{6}
Hope this explains it all. Let me know if you have any questions :)
4 0
3 years ago
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