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3 years ago

HELP PLEASE!!!!! i need to find the rate of change

Mathematics

2 answers:

Evgesh-ka [11]3 years ago

8 0

The answer is 50, okau

Tpy6a [65]3 years ago

7 0

Answer:

it's pretty simple y × 50

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What is the taxidistance between (2,11) and (7,10) 4 6 7 26

Scilla [17]

X difference: 7-2 = 5 y difference: 11-10 = 1 Add up those results: 5+1 = 6

Answer Is 6

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3 years ago

Y=-x+Use the rule y= -x+7 to fill in the blank. If (1,y) is on the graph, then y=

alexandr1967 [171]

Y=6

Reason:
(x,y) -> if 1 is where x is then x=1

-1+7=6

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3 years ago

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A bedroom of a house is 12 feet wide by 14 feet long. The scale of the floor plan of the house is 0.5 inch = 3 ft. What is the w

erica [24]

Your width, in real life being 12, would 2 inches on the plan

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3 years ago

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alisha [4.7K]

Answer:

$d=3\sqrt{2}\ units$

Step-by-step explanation:

The complete question is

Line L contains points (3, 5) and (7, 9). Points P has coordinates (2, 10). Find the distance from P to L

step 1

Find the equation of the line L contains points (3,5) and (7,9)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given values

$m=\frac{9-5}{7-3}$

$m=\frac{4}{4}=1$

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=1\\point\ (3,5)$

substitute

$y-5=(1)(x-3)$

isolate the variable y

$y=x-3+5$

$y=x+2$ -----> equation A

step 2

Find the equation of the perpendicular line to the given line L that passes through the point P

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal

The slope of the given line L is $m=1$

The slope of the line perpendicular to the given line L is

$m=-1$

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=-1\\point\ (2,10)$

substitute

$y-10=-(x-2)$

isolate the variable y

$y=-x+2+10$

$y=-x+12$ ----> equation B

step 3

Find the intersection point equation A and equation B

$y=x+2$ -----> equation A

$y=-x+12$ ----> equation B

solve the system by graphing

The intersection point is (5.7)

see the attached figure

step 4

we know that

The distance from point P to the the line L is equal to the distance between the point P and point (5,7)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

(2,10) and (5,7)

substitute

$d=\sqrt{(7-10)^{2}+(5-2)^{2}}$

$d=\sqrt{(-3)^{2}+(3)^{2}}$

$d=\sqrt{18}\ units$

simplify

$d=3\sqrt{2}\ units$

see the attached figure to better understand the problem

6 0

3 years ago

Determine the function

zalisa [80]

For each increment in x, the output is multiplied by 2. The function could be written the way a geometric sequence can be written:

... f(x) = 5·2^(x-1)

Or, it could be simplified to ...

... f(x) = (5/2)·2^x

The first 5 terms will be

... 5, 10, 20, 40, 80

5 0

3 years ago