PLZ HELP ME ON THIS THANK YOU SO MUCH!

A line is said to be perpendicular to another line if the two lines intersect at a right angle. Explicitly, a first line is perpendicular to a second line if (1) the two lines meet; and (2) at the point of intersection the straight angle on one side of the first line is cut by the second line into two congruent angles.

We want to find a perpendicular line to a given line, such that it passes through a point (and we want to separate the case where the point is on the line and when the point is not in the line, we will see that the construction is exactly the same).

Well, let's define the first line:

f(x) = a×x + b

where a is the slope and b is the y-intercept.

and the point (x₁, y₁).

We know that any perpendicular line to the above one will have a slope equal to:

s = -(1/a)

So the perpendicular line will be something like:

y = -(1/a)×x + c

Now we need to find the value of c, and here we need to use the point (x₁, y₁).

If the line passes through this point, this means that when x = x₁, the value of y must be y₁.

So we can just replace these in the equation:

y₁ = -(1/a)×x₁ + c

now we can solve for c:

c = y₁ + x₁/a

Then the equation of the line is:

y = -(1/a)×x + (y₁ + x₁/a)

And as you can see, here we did not use the fact that (x₁, y₁) belongs or not to the original line, so the construction is exactly the same in both cases.

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Answer:

calculate profits

Step-by-step explanation:

Answer: So for the first drop-down its 22, and for the 2nd drop-down 2-3

Step-by-step explanation:

The statement 'sixty-five hundredths' in the numerical decimal form will be 0.65.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The decimal number is the combination of an integer number and part of a rational number. The rational number is greater than zero but less than one.

And we know that the ration part is also known as the decimal part.

The statement 'sixty-five hundredths' in decimal form is written as,

⇒ 0.65

The statement 'sixty-five hundredths' in the numerical decimal form will be 0.65.

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Answer:

x=5

Step-by-step explanation:

10/50 correct me if im wrong

Answer:

10/50 and 2/10 are equivalent to 1/5.

Answer:

B. 60

Step-by-step explanation:

90-30=60

Answer:

Step-by-step explanation:

2.6 hope this helps!

The area of the whole mosaic is approximately 455 square feet.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of a parallelogram is the product of the base and the height of the figure.

The area of a parallelogram = Base x Height

The area of the rectangle = length × Width

We are given that;

Measure of square tiles= 8x8

Length =  2 2/3 ft

Now,

There are different ways to approach this problem, but one possible method is:

Find the area of one tile in square feet:

Convert 2 2/3 ft to a mixed number of inches: 2 × 12 + 2 + 2/3 = 26 2/3 in

Convert 26 2/3 in to feet: 26 2/3 ÷ 12 = 2 2/3 ft

The area of one tile is the product of its length and width: (2 2/3 ft) × (2 2/3 ft) = 8/3 ft × 8/3 ft = 64/9 ft²

Find the total number of tiles in the mosaic:

The mosaic has an 8 × 8 array of tiles, so there are 8 × 8 = 64 tiles in total

Find the area of the whole mosaic in square feet:

Multiply the area of one tile by the number of tiles: (64/9 ft²) × 64 = 4096/9 ft² ≈ 455.11 ft²

Therefore, the area will be approximately 455 square feet.

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Answer:

<

Step-by-step explanation:

Put that in and you will be fine

Answer:

<

Step-by-step explanation:

First number is smaller than second number.

Answer:

Slope:-63

Y-intercept: (0,825)

Step-by-step explanation:

Slope= y2-y1 ÷ x2-x1

321-699 ÷ 8-2

-378 ÷ 6 =-63

Y-intercept:  

y=-63x+b

to get b (y-intercept) plug in one of the points and solve.

​

699=-63(2)+b

699=-126+b

699+126=-126+126+b

699+126=0+b

825=b

Answer:

29

Step-by-step explanation:

Answer:

its  A. or is it

Step-by-step explanation:

oooooo

The length of the missing side is 10 cm.

The volume of a rectangular prism is the measurement of the total space inside it.

The volume of a rectangular prism is given by;

[tex]\rm Volume \ of \ rectangular \ prism =Length \times Width \times Height\\\\[/tex]

The volume of the rectangular prism is 60 cm^3.

The volume of a rectangular prism is;

[tex]\rm Volume \ of \ rectangular \ prism =Length \times Width \times Height\\\\ 60=Length \times 2\times 3\\\\60 = 6 \times length \\\\Length =\dfrac{60}{6}\\\\Length =10[/tex]

Hence, the length of the missing side is 10 cm.

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Answer:

4 2/25

Step-by-step explanation:

Distance ÷ Time = Average

3 2/5 ÷ 5/6 =

3 2/5 x 6/5 = 4 2/25

Answer:

The answer is 2240.

Step-by-step explanation:

I added 725, 579 and 696 and got 2000, then I had to figure out what 112% of 2000 is. Hopefully this helps (sorry if I'm wrong).

Answer:

Assumming the y intercept is at 0,20, the slope is [tex]\frac{1}{3}[/tex]

Step-by-step explanation: [tex]\frac{36-26}{50-20}[/tex] = [tex]\frac{10}{30}[/tex] = [tex]\frac{1}{3}[/tex]

Using the slope formula the rate of change of the volume of the gas sample with respect to the temperature is [tex]\frac{1}{3}[/tex].

A rising or falling surface is one that has one end or side that is higher than the other.

It is given that from the graph, the given line passes through the points (20,26) and (50,36).

Knows the slope of the line which passes through the points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex].

Therefore, the rate of change of the volume of the gas sample with respect to the temperature

[tex]& \Rightarrow \text{Slope}=\frac{36-26}{50-20} \\ & \Rightarrow \text{Slope}=\frac{10}{30} \\ & \Rightarrow \text{Slope}=\frac{1}{3} \\[/tex]

Therefore, using the slope formula the rate of change of the volume of the gas sample with respect to the temperature is [tex]\frac{1}{3}[/tex].

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Answer:51455.4

Step-by-step explanation:

The differnce of R(x) and C(x) is [tex]=x^{4} -3x^{3}+x^{2}-4[/tex]. Therefore, option D is the correct answer.

Given that, [tex]R(x)=2x^{4} -3x^{3} +2x-1[/tex] and [tex]C(x)=x^{4} -x^{2} +2x+3[/tex].

We need to find the value of P(x)=R(x)-C(x).

To subtract an algebraic expression from another, we should change the signs (from '+' to '-' or from '-' to '+') of all the terms of the expression which is to be subtracted and then the two expressions are added.

Now, R(x)-C(x)=[tex]2x^{4} -3x^{3} +2x-1-(x^{4} -x^{2} +2x+3)[/tex]

[tex]=2x^{4} -3x^{3} +2x-1-x^{4}+x^{2} -2x-3[/tex]

P(x)[tex]=x^{4} -3x^{3}+x^{2}-4[/tex]

Therefore, option D is the correct answer.

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Answer:

2128.5

Step-by-step explanation:

170.28/0.08=17028/8=2128.5

Answer:

3

Step-by-step explanation:

Since he has $20 and spends $5.25 on shoes, that means he will have $14.75 left for games. Since each game is $4, he can play 3 and be at at total cost of $17.25, but if he plays 4 games he will be at $21.25. Therefore, he can play 3 games.

Answer:

5,612.55 cm3

Step-by-step explanation:

i worked it out on paper

Answer:

12.44 percent that mean he needs about 37 boxes

Answer:

2.65% will for into the box

Step-by-step explanation:

Step 1: We make the assumption that 1244 is 100% since it is our output value

Step 2: We next represent the value we seek with x

Step 3: refer back to step one 1244= 100%

Step 4: x% = 33

Step 5: this gives us a pair of very simple equations

100% = 1244(1)

x% = 33(2)

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS(Left hand side) of both equations have the same unit(%) we have:

100%/x% = 33/1244

x = 2.65% Therefore, 33 is 2.65% of 1244

Answer:

6,500

I don't know if it's correct

Answer:

x int. = 6, y int. = 9

Step-by-step explanation:

Substitute 0 for y to get the x-intercept and 0 for x to get the y-intercept

I hope this helps :)

Answer:

a statistical question is one that we can answer using data

example: How much do 5 gorillas weigh at the zoo called wilderness?

Answer:

"How much do the animals at Fancy Farm weigh?"

Step-by-step explanation:

Answer: 2,176,782,336

Step-by-step explanation: Ez

Answer:

There are a total of 11,232,000 different combinations.

Step-by-step explanation: