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d1i1m1o1n [39]
2 years ago
6

The slope of AB is 3 over 4 and point A is (2. 9). How many possible locations are there for point

Mathematics
1 answer:
nignag [31]2 years ago
3 0

Answer:

Part 1) There are infinity locations for the point B

Part 2) see the explanation

Step-by-step explanation:

Part 1) How many possible locations are there for point  B?

we know that

The equation of a line in point slope form is equal to

y-y1=m(x-x1)

where

m=\frac{3}{4}

(x1,y1)=(2,9)

substitute

y-9=\frac{3}{4}(x-2)

Convert to slope intercept form

y-9=\frac{3}{4}x-\frac{6}{4}

y=\frac{3}{4}x-\frac{6}{4}+9

y=\frac{3}{4}x+\frac{30}{4}

y=0.75x+7.5

Point B can be any point ( different from point A) that satisfies the linear equation

therefore

There are infinity locations for the point B

Part 2) Describes a method to location the point

To locate the point, one of the two coordinates must be known. The known coordinate is placed into the linear equation and the equation is solved to find the value of the missing coordinate

Example

Suppose that the x-coordinate of point B is 4

For x=4

substitute in the linear equation

y=0.75(4)+7.5=10.5

so

The coordinates of point B is (4,10.5)

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Dimas [21]

Answer:

0.150 < (Proportion of Sandy's pie) < 0.167

15% < (Percentage of Sandy's pie) < 16.7%

Step-by-step explanation:

Total percentage of pie = 100% or 1

George, Sandy, Carlos, and Michelle all ate a piece of the pie.

George ate a fraction of 0.150

Michelle ate a fraction of (1/6) = 0.167

Carlos ate a fraction of (1/7) = 0.143

The amount of pie left = 1 - 0.15 - (1/6) - (1/7) = 0.5405

And Sandy is known to eat more than two of her friends, but less than one of them.

Of the amount of pie eaten by the first 3 friends, (1/6) is the highest proportion.

Hence, it is evident that Sandy ate more than 0.143 and 0.150 (Carlos and George) but less than Michelle (0.167).

So, mathematically, the possible proportion of cake that Sandy ate is

0.150 < (Proportion of Sandy's pie) < 0.167

Hope this Helps!!!

7 0
2 years ago
13 - 8m = 21<br> por favor ayuda
Ulleksa [173]
Si estás tratando a encontrar M este es
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3 years ago
Help please im so close to finishing my class
Ivanshal [37]
The correct option is the second one y<=1/2x+3
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The Herms family takes their sailboat to an island in a nearby lake for a picnic. The island is 12 miles from shore. The boat sa
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Answer:

It took 2 hours longer

Step-by-step explanation:

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3 years ago
Which of the following is a correct way to name the object shown? Check all
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Answer:

  \textbf{C. }\overline{AB}\\\textbf{D. }\overline{BA}

Step-by-step explanation:

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