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vivado [14]
3 years ago
10

Okay so, “Lynn multiplied a number by 8, and then subtracted 35 from the product. The result was 21. Write an equation to find t

he original number, n. Then solve for n.
Mathematics
1 answer:
Serhud [2]3 years ago
7 0

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Write the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5)
Sedbober [7]

Answer:   \bold{y=-\dfrac{1}{3}x-1}

<u>Step-by-step explanation:</u>

(4, 1) & (2, -5)

First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{-5-1}{2-4} = \dfrac{-6}{-2}=3\quad \rightarrow \quad m_{\perp}=-\dfrac{1}{3}\\

Next, find the midpoint of (4, 1) and (2, -5):

Midpoint=\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{4+2}{2},\dfrac{1-5}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{6}{2},\dfrac{-4}{2}\bigg)\\\\\\.\qquad \qquad=(3, -2)

Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:

y - y_1 = m_{\perp}(x - x_1)\\\\y - (-2) = -\dfrac{1}{3}(x - 3)\\\\y + 2=-\dfrac{1}{3}x +1\\\\y =-\dfrac{1}{3}x - 1\\


6 0
3 years ago
The mean of a set of numbers is 8, and the mode is 9.
ryzh [129]
You can start by looking at the mode of the set of number automatically b and d are eliminated. We then proceed to calculate the mean so add all the numbers in A so it’ll be, 52 then divide by the amount of numbers in the set so 6. 52/6 =8.6
And C ends up being 48 so 48/6 = 8
Therefore your answer is C
5 0
3 years ago
13. y =<br> -x2 + 12x - 5<br> Axis of symmetry (aos):
marissa [1.9K]

Answer:

Slope = 24.000/2.000 = 12.000

When y = 0 the value of x is 5/-12 the line therefore crosses the x axis at x=-0.41667

x-intercept = 5/-12  = -0.41667

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3 years ago
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Anna [14]

Answer: 2 + 2 is 4 ;-;

5 0
4 years ago
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Nicholas bought three business related books. His total bill was $150. If one book cost him 50% more than the other two books co
goldenfox [79]
The price of this more expensive book was $90.00 ($150 - $60) based on the date acquired from the question above. This problem can be solved using a simple algebra equation which consisted of one variable. The equation is stated as $150 = x + 1.5x (x = $150/2.5 = $60) where x is the price of the cheaper book and 1.5x is the price of the more expensive books because it has 50% higher price than the cheaper book<span>.</span>
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