I always get lost when it comes to linear equations or system. please help :( :)

Answer:

The equation of perpendicular bisector is:

[tex]y = 2x-2[/tex]

Step-by-step explanation:

Given the points

First, we need to find the midpoint of the points (-4, 3) and (8, -3)

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-4,\:3\right),\:\left(x_2,\:y_2\right)=\left(8,\:-3\right)[/tex]

[tex]=\left(\frac{8-4}{2},\:\frac{-3+3}{2}\right)[/tex]

[tex]=\left(2,\:0\right)[/tex]

Thus, the midpoint of the points is: (2, 0)

Now, finding the slope between (-4, 3) and (8, -3)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-4,\:3\right),\:\left(x_2,\:y_2\right)=\left(8,\:-3\right)[/tex]

[tex]m=-\frac{1}{2}[/tex]

Therefore, the slope m = -1/2

The slope of the line perpendicular to the segment = [-1] / [-1/2] = 2

Using the point-slope form of the equation of the line, the equation of perpendicular bisector is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line

substituting the slope 2 and the point (2, 0)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 0 = 2 (x-2)[/tex]

[tex]y = 2x-2[/tex]

Therefore, the equation of perpendicular bisector is:

[tex]y = 2x-2[/tex]

Answer:

Step-by-step explanation: I dont know actually

Answer: 6.5 hours

Step-by-step explanation:

From the question, we are given the information that a truck has traveled 75 miles in 1.5 hours of driving. The miles pee hour travelled will be:

= 75 / 1.5

= 50 miles per hour

The number of hours that the truck will use to travel 325 miles will be:

= 325/50

= 6.5 hours

Answer:

negative 5 plus positive (normal) 6 is 1

the answer is 1

Step-by-step explanation:

6 is a positive number, it makes things higher.

5 is a negative number, it makes things lower

this is also the same as 6 - 5, which if you had higher numbers could be a negative number depending on which is bigger. since 6 is bigger in this case, the answer is positive. if it was negative 7 plus 6, the answer would be -1 or negative one. if it was negative six plus positive six, the answer would be zero since they cancel each other out.

Answer:

Thx for my points back

Step-by-step explanation:

Answer:

Thx

Step-by-step explanation:

for free points.....

Answer:

y=55/64

Step-by-step explanation:7

8y−6

=8

Step 1: Multiply both sides by 8y-6.

7=64y−48

64y−48=7(Flip the equation)

64y−48+48=7+48(Add 48 to both sides)

64y=55

64y

64

=

55

64

(Divide both sides by 64)

y=

55

64

Check answers. (Plug them in to make sure they work.)

y=

55

64

(Works in original equation)

Answer:

y=

55

64

Answer:

40

Step-by-step explanation:

i am not very good at explaining things but i am very good at math but i do hope this helps

Answer:

124.1 m

Step-by-step explanation:

Given that:

Depth of mammoth cave = - 124.1 meters

To travel to the bottom of the cave, hence, the hiker is at the maximum depth.

Since the depth of the cave is - 124.1 m and the hiker has traveled down tonthe bottom and hence covered the total depth. Then thebhiker must have descended by the same value corresponding to the depthnifnthe cave = 124.1 meters

Answer:

3

Step-by-step explanation:

6x+3

6+6+6=18

or 6 divided by 2 which is 3

Answer:

Area formula: l x w

= 8 x 3

24 cm^2

Perimeter formula: Sum of all sides

= 8+8+3+3

= 25 cm

Answer: 24cm

Step-by-step explanation:

8 multiplied by 3

Answer:

91.4 meters

Step-by-step explanation:

From the question:

1 yard = 0.914 meter

100 yards = x meters

x meter = 100 × 0.914 meters

x = 91.4 meters

Therefore, Nicholas sprinted 91.4 meters

Answer: 91.4

Step-by-step explanation: PLEASE GIVE BRAINLIEST

Answer:

it is 16 degrees outside then take away the 17 from the 16 and the answer is 1 degree

Answer:

Answer:

the numbers on an 8-sided die are 1, 2, 3, 4, 5, 6, 7, and 8

2, 3, 5, and 7 are prime numbers

half the numbers are prime

you should roll a prime number half of the time (theoretically)

if you roll the die 100 times, you (theoretically) should get a prime number 50 times, which is half of the time

Answer:if you can draw any vertical line that intersects more than one point on the relationship, then it is not a function.

Step-by-step explanation:So it is a no ok.

Answer:

30 on the first one 5x6=30, the 2nd one is 5 and the 3 one is 10 chickens

Answer:

1. Zack has 6 times more seeds than Ben, if Ben has 5 seeds, just multiply how many seeds Ben has by 6, which means Zack planted 30 seeds (This can be written Z=B*6, where Z is how many seeds Zack has, and B is how many seeds Ben has)

2.  If there are a total of 40 cards divided into 8 groups of students, that means that each group got 5 card (40 ÷ 8 = 5)

3. If each chicken has 2 wings, and she has a total of 20 wings, that means that she bought a total of 10 chickens (20 ÷ 2 = 10)

Answer:

1/52

Step-by-step explanation:

52/4=13 theirs only 4 5s in a deck of cards so 13*4 is 52

Answer:

Step-by-step explanation:

area = L x W

where L = 9x⁸

          W = 6x⁵

plugin values into the formula:

Area = 9x⁸ * 6x⁵

        = 54x¹³

The area of the rectangle as an expression of x is [tex]2160x^3[/tex] square feet.

To find the area of the rectangle, we can use the formula for the area of a rectangle, which is:

Area = length × width

Given that the width is 6x5 feet and the length is 9x8 feet, the area of the rectangle is:

Area = (9x8) × (6x5)

To simplify the expression, multiply the coefficients and combine the variables:

[tex]Area = 54x^2 * 40x[/tex]

Now, multiply the coefficients:

[tex]Area = 2160x^3[/tex]

So, the area of the rectangle as an expression of x is [tex]2160x^3[/tex] square feet.

To know more about area, refer here:

https://brainly.com/question/22691623

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Answer:

x = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = 2x - 1

y = -3x + 4

Step 2: Solve for x

Substitution

Answer:

[tex]y = 2x - 1 \: and \: y = - 3x + 4 \\replacing \: the \: value \: of \: y, \: we \: get \\ 2x - 1 = - 3x + 4 \\ 5x = 5 \\ \boxed{x = 1}[/tex]

Answer:

B

Step-by-step explanation:

The rate at Randy's store is 1 gallon of gas for $3

The rate at Sarah's store is 1 gallon of gas for $2.80

So, Randy's store is more expensive.

Step-by-step explanation:

it worksss lolll

10

10×2

20+10

30÷2

15-10

yeahhh 5

great lolll

have a great day :)

Answer: -284.2 is a rational number

Answer:

(4,6)

Step-by-step explanation:

Since its reflected just remove the signs

The reflected coordinate points along the y-axis is C'(4, - 6).

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

We know reflection over the y-axis changes (x, y) to (- x, y).

Given, Point C(-4, -6) is reflected over the y-axis.

∴ The reflected coordinate points C'(4, - 6).

learn more about transformations here :

https://brainly.com/question/11709244

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