What is the length of the line?

Answer:

(3x - (3x - 5y))(3x + (3x - 5y))

Step-by-step explanation:

We use difference of squares to help factor.

Answer:

(5,9)

Step-by-step explanation:

3y=4x+7

5y=4x+25​

Subtract the two equations to eliminate x

5y=4x+25

-( ​3y=4x+7)

------------------

2y = 0x +18

Divide by 2

2y/2 = 18/2

y =9

Now find x

3y = 4x+7

3*9 = 4x+7

27 = 4x+7

Subtract 7

20 = 4x

Divide 4

20/4 = 4x/4

5 =x

(5,9)

Step-by-step explanation:

3y=4x+7_equation 1

5y=4x+25_equation 2

multiply equation 1 by 5 an equation 2 by 3

15y=20x+35_equation 3

15y=12x+75_equation 4

subtract equations 4 from equation 3

0=8x-40

40=8x

divide both sides by 8

x=5

substitute x into equation 1

3y=4(5)+7

3y=20+7

3y=27

divide both sides by 3

y=9

Answer:

Perimeter of MNO =  38.71 in.

Area of MNO =  63.73 sq. in.

Step-by-step explanation:

Since the two triangles are similar, this means that

- linear dimensions are proportional to ratio of corresponding sides

- areas are proportional to ratio of corresponding sides.

Ratio of corresponding sides of MNO to DEF

= 6.7/9

Therefore

Perimeter of MNO = P*6.7/9 = 38.71 in.

Area of MNO = A*(6.7/9)^2 = 63.73 sq. in.

all results have been calculated to the second place of decimal

Answer:

P ≈ 38.7 in., A ≈ 63.7 in2

Answer:

x = −2.24 and x = 2.24

Step-by-step explanation:

16x^2 − 80 = 0

Add 80 to each side

16x^2 =80

Divide each side by 16

x^2 = 80/16

x^2 =5

Take the square root of each side

x = ± sqrt(5)

x = ±2.236067977

Answer:

x = 2.24  OR   x = -2.24

Step-by-step explanation:

=> [tex]16x^2-80 = 0[/tex]

Adding 80 to both sides

=> [tex]16x^2 = 80[/tex]

Dividing both sides by 16

=> [tex]x^2 = 80/16\\x^2 = 5[/tex]

Taking sqrt on both sides

=> x = ±√5

=> x = ±2.24

So,

Either,

x = 2.24  OR   x = -2.24

Answer:

(x - 3)(x + 3)(x² + 9)

Step-by-step explanation:

Step 1: Difference of Squares

(x² - 9)(x² + 9)

Step 2: Difference of Squares within Difference of Squares

(x - 3)(x + 3)(x² + 9)

*You can't factor x² + 9 because it has no real roots. You can factor it to have complex roots (imaginary number i).

Answer:

(x+3)(x+3)(x²-9)

Answer:

40 ≤ y ≤ 100

Step-by-step explanation:

Answer: Domain must include the x value. With a maximum of 30 people allowed in the theater, the domain is between 0 and 30, or 0<x>30

Step-by-step explanation:

Answer:

n = [tex]\frac{5}{3}[/tex] (C - 2.5)

Step-by-step explanation:

Given

C = [tex]\frac{3}{5}[/tex] n + 2.5 ( subtract 2.5 from both sides )

C - 2.5 = [tex]\frac{3}{5}[/tex] n

Multiply both sides by [tex]\frac{5}{3}[/tex] to clear the fraction

[tex]\frac{5}{3}[/tex] (C - 2.5) = n

Answer:

n = 5/3(C - 2.5)

Step-by-step explanation:

C = 3/5n + 2.5

Subtract 2.5 on both sides.

C - 2.5 = 3/5n

Multiply 5/3 on both sides.

5/3(C - 2.5) = n

Answer:

solution,

A(-2,-4)--->(X1,y1)

B(-8,4)----->(x2,y2)

now,

[tex]ab = \sqrt{(x2 - x1) ^{2} + {(y2 - y1)}^{2} } \\ \: \: \: \: = \sqrt{ (- 8 - ( - 2)) ^{2} + (4 - ( - 4)) ^{2} } \\ \: \: \: = \sqrt{( - 8 + 2) ^{2} + {(4 + 4)}^{2} } \\ \: \: \: = \sqrt{( - 6) ^{2} + {(8)}^{2} } \\ \: \: = \sqrt{36 + 64} \\ \: \: \: = \sqrt{100} \\ \: \: \: = \sqrt{ {(10)}^{2} } \\ \: \: \: \: = 10 \: units[/tex]

Hope this helps..

Good luck on your assignment

Answer:

16 squares

Step-by-step explanation:

Answer:

Step-by-step explanation:

Parent function is, f(x) = x²

For x = -4(x - 3),

f[-4(x - 3)] = [-4(x - 3)]²

               = 16(x - 3)²

               = 16(x - 3)²

g(x) = 16(x - 3)² is the transformed form of the graph f(x).

Here 16 (Coefficient of x²) represents the vertical stretch of the parent function by 16 units.

Followed by a translation of the function by 3 units right.

Table of input and output values of g(x),

x         0        1          2          3           4          5

y      -48     -32       -16         0          16        32

Now plot these points on a graph and join them.

Answer:

At a distance of 4 tick marks above

Step-by-step explanation:

Answer:

C) 1/8 inch

Step-by-step explanation:

Answer:

s = t - m

Step-by-step explanation:

Assuming s equals the amount of time it would take Sam, subtracting the amount of time it takes Mark from the time it takes them together would give you the time Sam would take since with Sam's help, the time would equal t hours. Then without Mark's help is how long it would take him.

Answer: B

Step-by-step explanation: it could not be A bc A is 3.4 and 34.8 and its not correct

Answer:

f(x) =  (y-intercept is 3)  ,(decreasing function),(average rate of change on (0,1) is -2)

g(x) = (y-intercept is 3), (increasing function) (average rate of change on (0,1) is 1)

Step-by-step explanation:

Answer: C

Step-by-step explanation: For a function, each x-coordinate corresponds to exactly one y-coordinate.

To determine whether the graph shown here

is a function, we can use the vertical line test.

The vertical line test tells us that if each x-coordinate on the graph corresponds to exactly one y-coordinate, then any vertical line that we draw on the graph should hit the graph at only one point.

For the graph show here, any vertical line that you draw with hit the graph at only one point which means it does pass the vertical line test.

So this graph is a function.

Answer:

27/25 simplified is 1 2/25 none of your answers work

Step-by-step explanation:

Answer:

27/25

Step-by-step explanation:

27/25

Simplify the fraction if possible.

= 27/25

The improper fraction cannot be simplified further.

Answer:

A. 1

Step-by-step explanation:

2/3 ÷ (-4) - (1/6-8/6)

Solve for brackets.

2/3 ÷ (-4) - (-7/6)

2/3 ÷ (-4) + 7/6

-2/12 + 7/6

Make denominators equal.

-2/12 + 14/12

12/12

= 1

Answer:

162

Step-by-step explanation:

The number with "1" digit starts with 101 then 110 and so on.

Answer: 3/4

Step-by-step explanation:

Following the rise over run rule it goes 4 on the x axis and then 3 on the y axis

Answer:

11

PLS DON'T USE THIS AS A CHEAST SITE FOR ALCUMUS. SPECIFY EHAT YOU HAVE TRIED AND I WILL HELP YOU. OTHERWISE YOU ARE NOT LEARNING ANYTHING. THIS ONE TIME I WILL GIVE YOU THE ANSWER.

Answer:

y = 3x + 1

Step-by-step explanation:

This new line is parallel to y = 3x - 5 and thus has the same slope (3).

Adapting the point-slope formula y = mx + b to this situation, we use m  = 3 and substitute 0 for x and 1 for y:

1 = 3(0) + b

Therefore, b = 1, and the desired equation is

y = 3x + 1

Answer:

480 ways

240 ways

Probability = 1/7

Step-by-step explanation:

Given:

Number of student = 5

Number of teacher = 2

Computation:

1. Number of ways can they line up, side by side, for a picture.

5! × 2! × 2

480 ways

2. Number of ways can they line up if they must have the teachers on both sides of the picture.

5! × 2!

240 ways

3. Probability that the two teachers occupy two of the three middle slots.

³C₂ × 5! × 2!

720 ways

Total number = 7! = 5,040 ways

Probability = 720 / 5,040

Probability = 1/7

The number of ways that can  they line up, side by side, for a picture is 480 ways

The number of ways can they line up if they must have the teachers on both sides of the picture is 240 ways

Th  probability that the two teachers occupy two of the three middle slots is 1/7

Sincee Five students and two teachers attend a conference at Statistics Canada

The number of ways should be

= 5! × 2! × 2

= 480 ways

Now the number of ways is

= 5! × 2!

= 240 ways

Now the probability is

= ³C₂ × 5! × 2!

= 720 ways

And, finally

Total number = 7! = 5,040 ways

Probability = 720 / 5,040

Probability = 1/7

learn more about probability here: https://brainly.com/question/23270719

Answer:

y = 0.265x - 494.7

Step-by-step explanation:

Let median age be represent by 'a' and time be represent by 't'

In 1980, median age is given 30

which means that

a₁ = 30

t₁ = 1980

In 2000, the median age is given 35.3

which means that.

a₂ = 35.3

t₂ = 2000

The slope 'm' of the linear equation can be found by:

m = (a₂ - a₁) /(t₂ - t₁)

m = (35.3 - 30)/(2000-1980)

m = 0.265

General form of linear equation is given by:

y = mx + c

y = 0.265x +c

Substitute point (1980,30) in the equation.

30 = 0.265(1980) + c

c = -494.7

Hence the the linear equation can be written as:

y = mx + c

y = 0.265x - 494.7

Answer:

D) 112°

Step-by-step explanation:

Reflection is a type of transformation that require the turning of a point or an object about a reference point line.

In the given question, when the point is first reflected about l, it rotates at an angle of  56°. Then reflecting it about m give a total rotation of 112° by the point. Thus, the point (-4, 1) is rotated twice the angle between lines l and m.

Answer: Option C: 0.03125

Step-by-step explanation:

we have an exponential equation, so we have:

f(x) = A*r^x

we have that:

f(1) = A*r^1 = A*r = 0.5

f(2) = A*r^2 = 0.25

f(3) = A*r^3 = 0.125

f(4) = A*r^4 = 0.0625

f(5) = A*r^5 = ?

we want to find the value f(5)

first, let's take the quotient:

f(2)/f(1) = (A*r^2)/(A*r) = r = 0.25/0.5 = 0.5.

then we have:

f(x) = A*0.5^x

and f(1) = A*0.5 = 0.5

then A = 0.5/0.5 = 1.

now we know that our function is f(x) = 0.5^x.

then, if we want to find f(5) we have:

f(5) = 0.5^5 = 0.03125

Then the correct option is option c.

Answer:

y=-1/4x +3

Step-by-step explanation:

x/2 + 2y = 6

Subtract x/2 from both sides

2y=-x/2 +6

Simplify by dividing by 2

y=-1/4x +3

Solving for M1 in terms of Fg, G, M2 and r yields;

To solve for M1 in terms of F, G, M2 and r;

We are required to make M1 the subject of the formula as follows;

By cross product;

Afterwards; by dividing through by G M2; we have;

Read more:

https://brainly.com/question/15344051

Answer:

f(6) =-2

Step-by-step explanation:

f(x) = 1/2 x-5

Let x = 6

f(6) = 1/2 *6-5

     =3 -5

   = -2

Answer:

[tex]-2[/tex]

Step-by-step explanation:

[tex]f(6)=\frac{1}{2}6-5 = -2[/tex]

Answer:

[tex]-64\frac{7}{8}[/tex]

Step-by-step explanation:

-64 would be the whole number.

.875 would be 875/1000 as a fraction.

Put them together:

[tex]-64\frac{875}{1000}[/tex]

Simplify:

[tex]-64\frac{875}{1000}=-64\frac{875/125}{1000/125}=\boxed{-64\frac{7}{8}}[/tex]