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aev [14]
3 years ago
9

Find the point-slope equation for the line that passes through the points (5,35) and (-6,-31). Use the first point in your equat

ion.
Mathematics
1 answer:
Bumek [7]3 years ago
4 0

\bf (\stackrel{x_1}{5}~,~\stackrel{y_1}{35})\qquad
(\stackrel{x_2}{-6}~,~\stackrel{y_2}{-31})
\\\\\\
slope = m\implies
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-31-35}{-6-5}\implies \cfrac{-66}{-11}\implies 6
\\\\\\
\begin{array}{|c|ll}
\cline{1-1}
\textit{point-slope form}\\
\cline{1-1}
\\
y-y_1=m(x-x_1)
\\\\
\cline{1-1}
\end{array}\implies y-35=6(x-5)

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The equation of the piecewise defined function f(x) is below. What is the value of f(1)?
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5 0
3 years ago
At the end of the year, Close made the current year on mark down to make Room for next year models. One particular model had a s
SCORPION-xisa [38]

Answer: 5%.

Step-by-step explanation:

Given data:

Old price = $28,640

New price = $27,208

Solution:

Percentage of decrease

= old price - new price / old price * 100

= $28,640 - $27,208 /. $28,640 * 100

= $1432/$28,640*100

= 0.05*100

= 5%.

The percentage of decrease for the car is 5%.

5 0
3 years ago
What is 100 percent of 158
Mashcka [7]

Answer:

It's 63.29

Step-by-step explanation:

Step 1: We make the assumption that 158 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100%=158.

Step 4: In the same vein, x%=100.

Step 5: This gives us a pair of simple equations:

100%=158(1).

x%=100(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

100%/x% = 158/100

Step 7: Taking the inverse (or reciprocal) of both sides yields

x%/100% = 100/158

x= 63.29%

Therefore, 100 is 63.29% of 158.

4 0
3 years ago
Read 2 more answers
As you were organizing your closet you counted 20 shirts and 12 pairs of pants what was the pants to shirt ratio?
NISA [10]

Answer: 5 : 3

Step-by-step explanation:

The ratio of shirts to pants can be shown by putting the number if shirts and pants in the following manner:

Number of shirts       :        Number of pants

20                               :                   12

Then you have to take this to the lowest term. 4 is a factor of both numbers so when divided by 4 we get:

= 5 : 3

This is the ratio.

4 0
3 years ago
A line segment has endpoints at (–1, 4) and (4, 1). Which reflection will produce an image with endpoints at (–4, 1) and (–1, –4
katrin2010 [14]

Answer:- A reflection of the line segment across the line y = –x .


Explanation:-

A reflection over the line y = -x, the x-coordinate and y-coordinate interchange their places and they are negated (the signs are changed).

Given :- A line segment has endpoints at (–1, 4) and (4, 1) such that it reflects produce an image with endpoints at (–4, 1) and (–1, –4).

(-1, 4)→(-4, 1) and

(4, 1)→(-1, -4)

Thus this shows a reflection of the line segment across the line y = –x.

4 0
3 years ago
Read 2 more answers
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