2. Factorisation of the algebraic expression 169x2 - 52xy + 4y2​

Answer:

Step-by-step explanation:

1- .6 hours

2-a: 8

2-b: 40

2-c: 10

I hope this helps you! (:

Answer:

9.72 ft (nearest hundredth)

Step-by-step explanation:

First, calculate the horizontal distance [tex]b[/tex] by using the cosine trig ratio:

[tex]\cos(\theta)=\mathsf{\dfrac{adjacent\ side}{hypotenuse}}[/tex]

[tex]\implies \cos(18)=\dfrac{b}{10}[/tex]

[tex]\implies b=10 \cos(18)[/tex]

Given:

Use the cosine trig ratio to calculate the new hypotenuse:

[tex]\implies \cos(12)=\dfrac{10 \cos(18)}{h}[/tex]

[tex]\implies h=\dfrac{10 \cos(18)}{\cos(12)}[/tex]

⇒ h = 9.723036846...

⇒ h = 9.72 ft (nearest hundredth)

Answer:

  14.86 feet

Step-by-step explanation:

We assume the new ramp arrives at the same height as the old one. That height is found using the sine function:

  h = 10·sin(18°)

We want to find the ramp length x that will give the same height with an angle of 12°:

  h = x·sin(12°)

Substituting for h, we get ...

  10·sin(18°) = x·sin(12°)

  x = 10·sin(18°)/sin(12°) ≈ 14.863 . . . . feet

The new ramp is about 14.86 feet long.

_____

Additional comment

The sine relation is ...

  Sin = Opposite/Hypotenuse

In this use, we rearrange it to ...

  Opposite = Hypotenuse × Sin

Answer:

32

45

75

Step-by-step explanation:

tbh its pretty basic..

Answer:

1/ c

4/b

5/a

Step-by-step explanation:

Answer:

natural disasters, theft,fire

Step-by-step explanation:

It takes 150/25=6 hrs to finish reading

So when you graph, the line will start at (0,150) and go down to (6,0)

Domain tells you how far the x values go

0 < T < 6

Range tells you how low/high y values go

0 < L < 150

Answer: 0<T<6 0<L<150

Step-by-step explanation: Hope this helps you!

Answer:

1.75 meters² or 175 centimeters²

Step-by-step explanation:

Step 1: Find Area of the Base.

Step 2: Find the Area of the Triangles.

Step 3: Add the areas together.

Thus, the surface area is 1.75 m^2 or 175 cm^2.

Answer:

My answer is 32 remainder 4

Answer:

1/2 mile.

Step-by-step explanation:

Going to school and back is two ways, so multiply 1/4 to get 2/4, or 1/2.

Answer:

5/8

Step-by-step explanation:

subtract 3/8 from 8/8 to get 5/8

Answer:

x = 8/3, y = 16/3

Step-by-step explanation:

ΔBFE ~ ΔADE, so

x/8 = 6/(12 + 6), x = 8/3

y = 8 - x = 8 - 8/3 = 16/3

The value of x and y are equal to -1 and 4 respectively.

Data;

To solve a system of linear equations, we can either use graph, simultaneous or elimination method. In which ever method we choose to use, we can always find the solution to this system of equations.

Kindly find the attached for a graphical representation of the solution.

Learn more on system of equations here;

https://brainly.com/question/14323743

The solution to the system of equation is (-1,4)

The system of equation is given as:

x + y = 3

2x - y = -6

Next, we plot the graph of the system of equation

From the attached graph (see attachment), we have the point of intersection to be:

(x,y) = (-1,4)

Hence, the solution to the system of equation is (-1,4)

Read more about system of equations at:

https://brainly.com/question/14323743

Answer: The answer is BBBBBBBBBBBBBBBBBBBBBBb

Step-by-step explanation:

I did the test 2 times got it right 2 times

Have a good day ur welcome

Answer:

B

Step-by-step explanation:

Answer:

92 inches squared

Step-by-step explanation:

Divide the figure into 2 rectangles.

The area of the first rectangle is 4 x 11 = 44.

The base of the second rectangle can be found by adding 6 + 4 + 6 = 16.

We find 4 because the top part of the vertical rectangle is the same as the bottom part.

Then the area of the second rectangle is 16 * 3 = 48.

Adding these two areas, 44 + 48 = 92 inches squared.

Answer:

x=7, y=6

Step-by-step explanation:

Answer:

x=7, y=6

Step-by-step explanation:

we expand the first formula by 5.

5(2x+y) = 20x5

10x + 5y= 100

then we add the two formulas together.

10x+5y+6x-5y = 100+12

since the 5y can be cancelled out, it is much easier.

16x = 112

   x=7

now we can put x=2 into the first formula.

2x7+y =20

        y=6

Answer:

  |x +17| = 15

Step-by-step explanation:

The values that go into your absolute value equation template can be found by solving the template equation, then matching results to the desired solution values.

  |x -b| = c

resolves to ...

  x -b = c . . . . for x -b > 0

  x = b+c

and

  -(x -b) = c . . . for x -b < 0

  x = b -c . . . . . solve for x

__

The value of c must be positive, so the value b+c will be the most positive solution:

  -2 = b +c . . . . . the most positive solution

  -32 = b -c . . . . the most negative solution

Adding these equations gives ...

  2b = -34   ⇒   b = -17

  c = -2 -b . . . . from the first equation

  c = -2 -(-17) = 15

Putting the found values b=-17, c=15 into the absolute value equation template gives ...

  |x +17| = 15

Answer:

[tex]A\ downward\ 5\ paths\ then\ to\ the\ right\ 6\ paths[/tex]

Step-by-step explanation:

[tex]\left\{According\ to\ the\ picture\right\}[/tex]

I hope this helps you

:)

Step-by-step explanation:

The solutions are 2 and 5

Because it's asking what would make the triangles congruent, you would set up the equation like this because the angles (angle 3 and angle 4) need to be equal:

x^2 = 7x - 10

Next, you add 10 to both sides. This is so that you can move it to the other side, addition is the inverse of subtraction.

x^2 + 10 = 7x

Now subtract 7x from both sides. Subtraction is the inverse of addition. You do this to get it on the other side so you can factor it. You can move the 10 and 7x to the other side in any order or at the same time, I just did it like this.

x^2 - 7x + 10 = 0

Now, factor. I don't really know how to explain factoring, you just get a feel for it with a lot of practice.

(x - 2)(x - 5) = 0

You can use FOIL to check this if you want to. x(x) is x^2, -2(-5) is 10), -2x - -5x is -7x. Now, find what you need to do to make what's in each of the groups of parentheses equal to 0.

x - 2 = 0

x = 2

One of the solutions is 2, because you add 2 to x to get 0.

x - 5 = 0

x = 5

The other solution is 5, because you add 5 to x to get 0. Lastly, check your solutions by plugging them in to the original equation.

2^2 = 7(2) - 10

4 = 14 - 10

So 2 is definitely a solution.

5^2 = 7(5) - 10

25 = 35 - 10

5 is also a solution.

Hope that helps :]

Answer:

  39.4 feet

Step-by-step explanation:

The tangent trig relation can be used to relate the height of the tree to the distance from the observation point. We can start with the tangent relation, then apply it to both observation points.

__

Let h represent the height of the tree. Then for some distance d to the tree, we have ...

  Tan = Opposite/Adjacent

  tan(30°) = h/d

  tan(20°) = h/(d+40)

__

Solving the first equation for d and substituting into the second equation gives ...

  d = h/tan(30°)

  tan(20°) = h/(h/tan(30°) +40) . . . . . substitute for d

  h/tan(30°) +40 = h/tan(20°) . . . . . . multiply by (h/tan(30°)+40)/tan(20°)

  h(1/tan(20°) -1/tan(30°) = 40 . . . . . subtract h/tan(30°) and factor

  h = 40tan(20°)tan(30°)/(tan(30°) -tan(20°)

  h ≈ 39.392 . . . feet

The height of the tree is about 39.4 feet.

_____

As you can see from the attachment, a graphing calculator can solve these equations easily.

Answer:

39.4 ft (nearest tenth)

Step-by-step explanation:

Create two equations using trig ratios and the information given (refer to the attached diagram).  Equate the equations and solve.

First equation

Let x = distance along the path with 30° angle of elevation

Let h = height of the tree

Using the tangent trig ratio:

[tex]\mathsf{\tan(\theta)=\dfrac{opposite \ side}{adjacent \ side}}[/tex]

Given:

[tex]\implies \mathsf{\tan(30)=\dfrac{h}{x}}[/tex]

Rearrange to make x the subject:

[tex]\implies \mathsf{x=\dfrac{h}{\tan(30)}}[/tex]

[tex]\implies \mathsf{x=\sqrt{3} \ h}[/tex]

Second equation

Distance along the path with 20° angle of elevation = x + 40

Let h = height of the tree

Using the tangent trig ratio:

[tex]\mathsf{\tan(\theta)=\dfrac{opposite \ side}{adjacent \ side}}[/tex]

Given:

[tex]\implies \mathsf{\tan(20)=\dfrac{h}{x+40}}[/tex]

Rearrange to make x the subject:

[tex]\implies \mathsf{x=\dfrac{h}{\tan(20)}-40}[/tex]

Now equate the 2 equations and solve for h:

[tex]\implies \mathsf{\sqrt{3} \ h=\dfrac{h}{\tan(20)}-40}}[/tex]

[tex]\implies \mathsf{\dfrac{h}{\tan(20)}-\sqrt{3} \ h=40}}[/tex]

[tex]\implies \mathsf{\dfrac{h-\sqrt{3} \ h\tan(20)}{\tan(20)}=40}}[/tex]

[tex]\implies \mathsf{h-\sqrt{3} \ h\tan(20)=40{\tan(20)}}[/tex]

[tex]\implies \mathsf{h(1-\sqrt{3} \tan(20))=40{\tan(20)}}[/tex]

[tex]\implies \mathsf{h=\dfrac{40{\tan(20)}}{1-\sqrt{3} \tan(20)}}[/tex]

[tex]\implies \mathsf{h=39.39231012...}[/tex]

Therefore, the height of the tree is 39.4 ft (nearest tenth)

6yd and 216in and both equal

Answer:

The answer is B: 2-  5/x + 9/2x-1

Step-by-step explanation:

I did edge

Answer:

7/100

Step-by-step explanation:

please mark me brainliest

Answer:

9x9 = 81

The Steps ↓

9 to the power of 2 means 9 times itself 1 time. This goes for any other number in other situations. The term is often referred to as squared.

  9

x 9

81

Answer:

36 is the answer to your problem. ↓

   3

x 12

 36

Here's how to do it ↓

3x2 = 6, write 6 in the ones place

3x1 = 3, write 3 in the tens place.

And what does that give you?

36!

Hello! Im Natalia. And I suggest you dont ask the type.of questions. Keep the feed clear for people who need help!

Answer:

6

Step-by-step explanation:

I'm only going to answer the first one, then see if you can figure out the others.

We know that 8 students got a B.

We also know that the ratio of students who A's to students who got B's is 3 : 4

The 8 students that got B's is represented by 4 in the ratio.

8 / 4 = 2

Since we can multiply 4 by 2 to get 8, we can do the same to 3 to find out how many students got A's

2 x 3 = 6

6 students got A's

Step-by-step explanation:

first term a = 4

common difference d = -1-4 = -5

60th term = a+ (60-1)d

= 4 +59×(-5)

= 4 -295

= -291 answer

Answer: Hola

Step-by-step explanation:

Hola tu papa Nunca came back from the grocery store.