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3 years ago

Can someone please help me answer this question asap thank

Mathematics

1 answer:

NeX [460]3 years ago

8 0

Answer:

1. x = -6, -8, -90

2. solutions for $-2x\geq 10$ include -5, while -5 is not a solution for $-2x>10$

Step-by-step explanation:

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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

4 years ago

I don’t know where to start on this problem

11111nata11111 [884]

Okay so first of all you are going to cross multiply, which is simply multiplying diagonally across so (6x×5 and 25×3) then you just answer each part and set them equal to each other so (30x=75). Then you just divide 30 on each side which ends up being (x=2.5)

6 0

4 years ago

The paths walked by two different people are represented by the vectors graphed below.

Readme [11.4K]

Answer:

8,6

Step-by-step explanation:

if its the sum, you just add them together.

5 0

3 years ago

Read 2 more answers

Which of the following expression has more than one term? t-t, 18, dz, or 4q

katrin [286]

Answer:

t-t

Step-by-step explanation:

6 0

3 years ago

If m /_ 4 = 35 find m /_ 2. Explain.

worty [1.4K]

Answer:

Step-by-step explanation:

2 and 4 are on opposite sides of the transversal but both on the inside of the parallel lines. This makes them alternate interior angles, which are congruent.

6 0

3 years ago