find x.


An image of two parallel lines cut by a transversal. 8x-1 on top line and 3x-9 on bottom line . how do i get x

Considering the definition of parallel and perpendicular line:

A linear equation o line can be expressed in the form y = mx + b.

where

Parallel lines are two lines that are always at the same distance from each other and that prolonged towards infinity never touch.

Two lines are parallel if they have the same slope and different y-intercepts. That is, they have the same value of m and different value of b.

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

In this case, the line is 9x+8y=-2. Expressed in the form y = mx + b, you get:

8y= -2 - 9x

y= (-9x -2)÷ 8

y= -[tex]\frac{9}{8}[/tex]x - [tex]\frac{1}{4}[/tex]

Two lines are parallel if they have the same slope. So, in this case, the parallel line has a slope of  -[tex]\frac{9}{8}[/tex] and has a form of: y= -[tex]\frac{9}{8}[/tex]x + b

The line passes through the point (-3, 2). Replacing in the expression for parallel line:

2= -[tex]\frac{9}{8}[/tex]× (-3) + b

2= [tex]\frac{27}{8}[/tex] + b

2- [tex]\frac{27}{8}[/tex]= b

- [tex]\frac{11}{8}[/tex]= b

Finally, the equation of parallel line is y= -[tex]\frac{9}{8}[/tex]x - [tex]\frac{11}{8}[/tex].

The line is y= -[tex]\frac{9}{8}[/tex]x - [tex]\frac{1}{4}[/tex].

If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of  -[tex]\frac{9}{8}[/tex]. So:

-[tex]\frac{9}{8}[/tex]× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-[tex]\frac{9}{8}[/tex])

slope perpendicular line= [tex]\frac{8}{9}[/tex]

So, the perpendicular line has a form of: y= [tex]\frac{8}{9}[/tex]x + b

The line passes through the point (-3, 2). Replacing in the expression for parallel line:

2= [tex]\frac{8}{9}[/tex]× (-3) + b

2= -[tex]\frac{8}{3}[/tex] + b

2+ [tex]\frac{8}{3}[/tex]= b

[tex]\frac{14}{3}[/tex]= b

Finally, the equation of of perpendicular line is y= [tex]\frac{8}{9}[/tex]x + [tex]\frac{14}{3}[/tex].

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Answer:

option c

Step-by-step explanation:

the first number of a exponential function is the y intercept when x = 0,

so we now the number will be 5 leaving only answers c or d

the easiest way see which one is correct is by inputting the numbers for x to find y so...

c) 5 x 2^1 = 5 x 2 = 10 so x = 1 than y = 10

d) 5 x 1/2^1 = 5 x 1/2 = 2.5 so x = 1 than y = 2.5

the table states that y = 10 when x = 1 making c correct

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Answer:

a)  x = 7.5

b)  15,  11.5,  8

c)  -3.5

Step-by-step explanation:

As there is a common difference between consecutive terms of an arithmetic progression, then:

[tex]a_3-a_2=a_2-a_1[/tex]

Given:

Therefore:

[tex]\implies a_3-a_2=a_2-a_1[/tex]

[tex]\implies (2x-7)-(x+4)=(x+4)-2x[/tex]

[tex]\implies 2x-7-x-4=x+4-2x[/tex]

[tex]\implies x-11=-x+4[/tex]

[tex]\implies 2x=15[/tex]

[tex]\implies x=7.5[/tex]

Inputting the found value of x into the term expressions to find the three terms of the arithmetic progression:

The common difference (d) is the difference between each consecutive term.  To find the common difference, subtract one term from the next term:

[tex]\implies d=a_3-a_2= 8 - 11.5 = -3.5[/tex]

[tex]\implies d=a_2-a_1= 11.5-15 = -3.5[/tex]

Therefore, the common difference is -3.5

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Answer:

A≈391.18

Step-by-step explanation:

The formula to find the surface area of a triangular prism is as follows:

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)

Plug in . .

A=ah+bh+ch+[tex]\frac{1}{2}[/tex][tex]\sqrt{ a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4}[/tex]

A = 6 * 20 + 6 * 20 + 6 * 20 + [tex]\frac{1}{2}[/tex] * [tex]\sqrt{64 + 2 * (6 * 6)2 + 2 * (6 * 6)2 - 64 + 2 *(6 * 6)2 * 64}[/tex]

A≈391.18

Answer:

391.2 square cm

Step-by-step explanation:

  l = 20 cm  

Base area = 15.6 square cm

   [tex]\sf \boxed{\text{Surface area of triangular prism = Perimeter of base * l + 2*base area}}[/tex]

                                                        = (6+6+6)*20 + 2*15.6

                                                        = 18*20 + 31.2

                                                        = 360 +31.2

                                                         = 391.2 square cm

Answer:

c! :))

Step-by-step explanation:

i cant exactly remember how  to explain it step by step, but all i remember is that i took a similar test not too long ago that had the same question!

Answer:

C. There are infinetly many solutions.

Step-by-step explanation:

A system of linear equations has infinite solutions when the graphs are the exact same line.

Answer:

$0

Step-by-step explanation:

Since there is no useful data in this question, we will fill in the blanks with what we know:

Amount of cash taken: $0

Therefore, you have taken a cash advance of $0

LOL

Answer:

Step-by-step explanation:

Answer:

The area of the circle is approximately 154 square meters

Step-by-step explanation:

Area of a circle formula: [tex]A = \pi r^{2}[/tex]

given:

- diameter = 14m

- pi = 22/7

[tex]radius (r) = diameter/2 = 14/2 = 7\\A = 22/7*(7)^2\\A = 22/7*(49)\\A = 154[/tex]

Work Shown:

x = original price in dollars

x - 60% of x = x - 0.60x = 0.40x = sale price in dollars

0.40x = 152

x = 152/0.40

x = 380

Answer: 74.25

Step-by-step explanation:

75% ÷ 100 = 0.75

0.75 * 99

= 74.25

Answer: A. 30

Step-by-step explanation:

    We will plug the value of x, 15, into the given expression. Then, we will use the order of operations, also known as PEMDAS. View attached if you need a review.

5² + (x / 3)

5² + (15 / 3)

25 + (5)

30

      A. 30

Answer:

64

Step-by-step explanation:

16/10=1.6 and 1.6x40=64

Answer: y = 64

Step-by-step explanation:

[tex]$$Given, \\$y$ is directly proportional to $x$ \\$\Rightarrow y \propto x$ (Note: ' $\alpha$ ' be proportion/various sign) \\$\Rightarrow y=k x$ ( $k$ be the constant) \\$\therefore y=k x-$ (1)[/tex]

[tex]$$Given $y=40$ when $x=10$.So, substitute $y=40 \ \& \ x=10$ in (1) we get,$$\begin{aligned}&\Rightarrow 40=k(10) \\&\Rightarrow 10 k=40 \\&\Rightarrow k=\frac{40}{10} \text { (divide '10' both sides) } \\&\Rightarrow k=4\end{aligned}$$[/tex]

[tex]$$Put $k=4$ in (1) we get,$$y=4 x$$We substitute $x=16$ in (2) we get$$\begin{aligned}y &=4(16) \\\Rightarrow y &=64 \\\end{aligned}$$[/tex]

Answer:

2290.22

Step-by-step explanation:

Formula: V=pi*r^2*h

Plug in the values:

V=pi*81*9

81*pi=~254.469

~254.469 * 9 = 2290.22

Answer:

8000

Step-by-step explanation:

Natalie

Divide 40k by 2 to get 20k and divide 20k by 5 to get 4k we are at 10%

4k / 5 = 800 that means that every 2% is 800 now we multiply by 4x

To get 8% and we get 3200 and multiply by 20 representing the yrs

3200 x 20 = 64k + 40+ = 104k

Mackenzie

40k divide by 2 to get 50% 40k / 2 = 20k and now we divide by 5 to get 10% 20k / 5 = 4k now we divide by 10 to get the amount of each percents worth 4k / 10 = 400 we multiply by 9 to get the compounded interest

400 x 9 = 3600 multiply by 20 to get the compounded daily investment after 20yrs 3600 x 20 = 72k + 40k = 112k

112k - 104k = 8k

The annual growth rate in the price of the apple will be 7.83%.

The growth rate is defined as the increment of any quantity over a period of time.

Given that:-

The growth rate will be calculated as::-

Growth rate =  Cost in 2017  /  Cost in 2015

Growth rate =  1.55  /  1.34  =  1.15

The growth rate will be 15.67% for the apple in 2 years so for 1 year it will be

15.67 / 2 = 7.8%

Therefore the annual growth rate in the price of the apple will be 7.83%.

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Answer:

convert the diameter and the height to the same unit

Step-by-step explanation:

Answer: convert the diameter and the height to the same unit

Step-by-step explanation:

      The surface area of a cylinder can be found with A = 2πrh + 2πr². To use this formula, all units of measurement must be the same.

      This can be converting 5 centimeters to millimeters or converting 50 millimeters to 5 centimeters.

Answer:

D is the equation of the circle

Answer:

108 cm that my answer

sana makatulong

The answer is 508.9 cubed

108cm cubed is wrong

Answer:

B. 325

Step-by-step explanation:

y = the total value of the amount of papers he has to deliver each week

44x + 61 = y

(7 days in a week - sunday = 6 days)

44(6) + 61 = y

264 + 61 = y

325 = y

Answer

All real numbers or (-∞, ∞)

Step-by-step explanation:

There aren't any X values that can make this linear equation output an invalid results, so we can deduce that the domain is all x values.

Answer:

All Real Numbers

Step-by-step explanation:

The Domain for a function simply is all the possible x values.

When graphing this function, you'll realize that it's continuous and passes all x values.

Additionally, when looking at it, you'll realize you can input any number of your choosing.

When trying to evaluate the domain of other functions, you can look at if any values of x will create an undefined value.

For example, some functions may have x in the denominator, and since the denominator can not be 0, there will be a discontinuity.

Other examples where the domain wouldn't be all real numbers would be if x was under a square root and couldn't be negative, or if the function was a vertical line.

Hope that helps, please let me know if you have any queries.

Analyzing the information, it is clear that to find the solutions of the problems it is necessary to perform the calculation of mathematical arrangements.

Correspond to a case of permutations, they are groupings that are formed with a number p of elements from a set of n elements. The elements of p must occupy ordered positions, where p ≤ n. The formula is:

So, to solve the problems we do the following calculations:

A) 2^n =

2^8 = 256

B) We must pay attention to the statement, which asks for the minimum number of condiments required to prepare 1000 different sandwiches, so:

2^n [tex]\geq[/tex] 1000

n = 3

2^3 = 8

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Step-by-step explanation:

a number is a sequence of digits with every position being multiplied by increasing powers of 10.

and the whole number is then the sum of of these little multiplications.

the first position left of the decimal point is for 10⁰ (1). the second position is 10¹ (10). the third position for 10² (100). and so on.

the given number is therefore just the short version of

7×10⁴ + 0×10³ + 8×10² + 1×10¹ + 9×10⁰

and therefore, the digit 1 in this number has the value 1×10¹ = 10, which is also the place value, 10¹ = 10.

Step-by-step explanation:

the lateral area of the cone is, well, the lateral area.

the total surface area of the cone is the lateral area plus the area of base circle.

so, the difference between both is the area of the base circle :

120pi - 70pi = 50pi

the area of a circle is

pi×radius²

and that is in our case

pi×radius² = 50pi

radius² = 50

radius = sqrt(50) = 7.071067812... ≈ 7.1 units

therefore, C is the right answer.

Answer:

418

Step-by-step explanation:

Answer:

Look at the explanation.

Step-by-step explanation:

To begin with, the center of a circle is obviously the point in the middle of the circle and it has the same distance where ever you distance the center point from a point on the edges. Hope this makes sense so far. The diameter is from one point of the circle to another point of the circle and the diameter is in the middle meaning if you folded the circle upon the diameter it should be half and half. Radii are half of the diameter. Chords of a circle are  "the line segment joining any two points on the circumference of the circle".

So now:

Center is Point F, Radii could be segments FU or Segment KF, Diameter is KU, Chords of the circle could be Segment, VL, GL, or DX. I hope this is correct and hope it helps....

Answer:

Step-by-step explanation:

Center

Which point is the center is just a guess. You are intended to say F.

Radii

A radius is a line that goes from the  center of a circle to the circumference.

Chord

A chord is a line segment that joins two points on the circumference. Believe it or not, the diameter of a circle is a chord.

Diameter

KU

Answer:

hope its help you

Step-by-step explanation:

3(x+y)+5=0

3x+3y+5=0

3x+3y= -5

Answer:

3*(x+y) + 5

Step-by-step explanation:

This is an mathematical  expression....it isi NOT an equation...the question does NOT say this is equal to zero (or anything else)

it is this     3 (x+y)   + 5    or   3x + 3y + 5