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3 years ago

Work out the y-intercept of the line going through (1, 2) with a gradient of 3

Mathematics

2 answers:

alex41 [277]3 years ago

6 0

Answer:

my answer is dash dash is doll bye

Tasya [4]3 years ago

4 0

I think we need a coordinate grid for that,,

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Simplify Rewrite the expression in the form x ^ n X^ 2 * x ^ - 12 =

Natalija [7]

Step-by-step explanation:

Given

$= {x}^{2} \times {x}^{ - 12 } \\ = {x}^{2 - 12} \\ = {x}^{ - 10}$

Hope it will help :)

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3 years ago

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35 POINTS WILL MARK BRAINLIEST

Alinara [238K]

Answer:

50 is the intrest 550 os the amount

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2 years ago

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

Can someone hepl me solve this it is importaint thank you so much ? 4/7x5/3x3/4=?

erastovalidia [21]

Answer:

5/7 is the answers for the question

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2 years ago

Hellllllp please with Kahn academy

Veseljchak [2.6K]

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3 years ago

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