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user100 [1]
4 years ago
5

Find the equation of the line.

Mathematics
1 answer:
bezimeni [28]4 years ago
8 0

Answer:

The answer to your question is:       y = -2x + 10

Step-by-step explanation:

Data

Perpendicular to    y = (1/2)x  + 5

Point = (1, 8)

Formula

               (y - y1) = m(x - x1)

Normal Slope  = 1/2

New slope because they are perpendicular = -2

Substitution

                   ( y - 8) = -2(x - 1)

                   y = -2x + 2 + 8

                   y = -2x + 10

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Suppose that the given line has a slope of -2/3 and a y-intercept of (0,5/3). which of the following points is also a solution t
otez555 [7]

Answer:

From five given points it is find that points (1 , 1) and (4 , -1) will apply

Step-by-step explanation:

According to question,

Slop of line (m) = \frac{-2}{3}

And y-intercept is ( 0, \frac{5}{3})

So from above slope and points, the equation of line can be written as

y = mx + c

i.e \frac{5}{3} = \frac{-2}{3} x + c

    \frac{5}{3} = \frac{-2}{3} (0) + c

    \frac{5}{3} = 0 + c

Or, c = \frac{5}{3}

A) With points ( 5, \frac{5}{3} )

   At x = 5, y =\frac{-2}{3} (5) + \frac{5}{3}

            or, y = \frac{-10}{3} + \frac{5}{3}

            so, y = \frac{-5}{3}

Hence this points do not apply

B) With points ( 1 , 1 )

   At x = 1, y =  \frac{-2}{3} (1) +  \frac{5}{3}

      or,      y =  \frac{-2+5}{3}

      So,     y =  \frac{3}{3}

                y = 1

Hence this points will apply

C) With points ( 4 , -1 )

    At x = 4 , y =  \frac{-2}{3} (4) +  \frac{5}{3}

                    y =  \frac{-8+5}{3}

                    y =  \frac{-3}{3}

             So,  y= -1

Hence this points will apply

D) With points (-3 ,7)

    At x = - 3, y = \frac{-2}{3} (-3) +  \frac{5}{3}

                     y = \frac{14}{3}

 Hence this point will not apply

E) with points (0 , 0)

    At x 0,     y =  \frac{-2}{3} (0) +  \frac{5}{3}

               Or, y = 0 +  \frac{5}{3}

                     y =  \frac{5}{3}

Hence this point will not apply

∴ From above five given points it is find that points (1 , 1) and (4 , -1) apply

Answer

7 0
3 years ago
Graph the point that has the coordinates (4 1/2, 2 1/2).
inn [45]

Answer:

Graph is below

Step-by-step explanation:

I graphed the point on the graph below.

6 0
4 years ago
A school has 375 boys and 405 girls.What percentage (correct to one decimal place) are boys?
Marysya12 [62]
Total students = 375 + 405 = 780

boys % = (375 / 780) *100%
           =48.1 %
6 0
3 years ago
Round off 53.96 to the nearest tenth​
Ne4ueva [31]

Answer:

54.0

Step-by-step explanation:

53.96

The bold number is in the tenth form and needs rounding off. So look at the number after the bold number (6).

Now 6 falls off the 5 or greater category, meaning that you have to add one to the bold number.

9 + 1 = 10

Now since the number is 10, you add the number before the bold number by 1 (underlined number) and replace the bold number by 0.

5<u>3</u>.96

54.00

Since you are focusing on the tenth place, keep the zero sitting on that spot.

54.0

5 0
3 years ago
In a bag of 100 candies, 55 candies are circle-shaped and 45 are square-shaped. 35 candies have almond cores, and the remaining
Otrada [13]
Out of the 100 candies, there are 55 circle-shaped candies. So, the probability for picking a circle-shaped candy is 55/100. Additionally, the probability of picking candies with pecan core is (100 - 35)/100 is 65/100. Adding up these probabilities we get an answer of 120/100, we subtract the number of candies with common characteristics, 38/100. Thus, the answer is 82/100 or 41/50. 
7 0
4 years ago
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