Simplify.
(2a2−3ab+5b2)−(a2−2ab+3b2)
A.a4−a2b2+2b4
B.3a2−5ab+8b2
C.a2−5ab+2b2
D.a2−ab+2b2

Simplify. (6x−3)−(2x−2)
A.4x2−1
B.4x−1
C.4x−5
D.4x2−5

Here is one way to show that the left side is identical to the right side.

[tex]\sec(x)-\tan(x)\sin(x) = \cos(x)\\\\\\\frac{1}{\cos(x)}-\frac{\sin(x)}{\cos(x)}\sin(x) = \cos(x)\\\\\\\frac{1}{\cos(x)}-\frac{\sin^2(x)}{\cos(x)} = \cos(x)\\\\\\\frac{1-\sin^2(x)}{\cos(x)} = \cos(x)\\\\\\\frac{\cos^2(x)}{\cos(x)} = \cos(x)\\\\\\\cos(x)=\cos(x)\\\\\\[/tex]

Throughout the entire process, the right hand side stayed the same. When working on identities, it's important to keep one side the same while you transform the other side.

Despite the two sides being identical when simplified, there is the issue of cos(x) being zero in the denominator on the left hand side. Be sure to account for this when forming the domain. No such issue occurs on the right hand side. For instance, the value x = pi/2 leads to a division by zero error when in radian mode. So if I was your teacher, I would revise the "for any value of x" and replace it with something along the lines of "for any x value in the domain".

Hope It's Help

Answer:

x>-1

Step-by-step explanation:

8x>2-10

8x>-8

x>-1

Answer:

x>-1

interval notation: (-1,infinty)

Answer:

we have only two or three acute angles in a triangle. so ima say at least 1

Step-by-step explanation:

Answer: its A

Step-by-step explanation:

i know this is it

Answer:

$25.08

Step-by-step explanation:

$48 to which you apply the 50%

48/2= $24

then you add the sales tax:

24+4.5%= 25.08

Answer:

Let's add more steps.

step 6: angle AEB measures 360 - 90 -90 - 70 - 39 = 71° Reason, AECF is a quadrangonal and three of its angle measures 90, 90, and (70+39)

step 7: angles AEB and ABE are congruent: reason triangle ABE is isosceles since AE is conruent to AB

step 8 Angle BAE measures 180 -71-71 = 38°: by difference from the sum of the internal angles.

step 9: Angle BAD measures 90 - BAE = 90 - 38 = 52° Reason angles BAD and BAE are complementary.

QED

[tex] \frac{5}{7} \: \: \: of \: \: \: x = \frac{5}{21} \\ = > \frac{5x}{7} = \frac{5}{21} \\ = > 5x = \frac{5}{21} \times 7 \\ = > 5x = \frac{5}{3} \\ = > x = \frac{5}{3} \times \frac{1}{5} \\ = > x = \frac{1}{3} [/tex]

Answer:

[tex]x = \frac{1}{3} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

60

Step-by-step explanation:

Answer:

Beause you did love to be loved by you

Step-by-step explanation:

Maybe a spoon full of sugar will help but I'm not going to love you because love this pure is hard to find in world so scard from humanity and the hideous presence of me

Answer:

Mode is 58 degrees

Step-by-step explanation:

Answer:

25/4.1 or 6 and 2/5

Step-by-step explanation:

I can simplify both 100 and 16.4 by 4, so: 100/16.4=25/4.1

Because this is an improper fraction, I simplify it to: 6 and 2/5

Answer:

Step-by-step explanation:

x=0

Answer:

8

Step-by-step explanation:

18×4 = 72

And 72 ÷ 9 = 8

So 9×8 would be 72

Answer:

m2= 83 m1=97 m4=83

Step-by-step explanation:

m3 and m1 are corresponding by being verticle so they're the same

m3 and m2 are supple whcih mean they add to 180, so subtract 180-97 which is 83.

m2 and m4 are corresponding by being verticle so they're the same

Answer:

-512

Step-by-step explanation:

Answer:

-2.4f or -8 1/3

Step-by-step explanation:

I am not sure what should be at the end of the equal sign but if it is to simplify it would be -2.4f-20

If you want to solve then you get -2.4f=20 so f=-20/2.4 which equal to -8 1/3

Answer:

the third one

zero should always come after the negatives, and a whole number should always end the set.

Answer:

752

Step-by-step explanation:

7/20 of 2880 = 1008

2/9 of 2880 = 640

1/6 of 2880 = 480

2880 - 1008 - 640 - 480 = 752

Answer:

  f(x) = 4(x -1)^3·(x +2)

Step-by-step explanation:

Each root x=p indicates the function has a factor (x -p). The factor will be repeated according to the multiplicity of the root.

  f(x) = a(x -1)^3·(x +2)

  f(0) = a(-1)^3·2 = -2a = -8   ⇒   a = 4

The factored form of the equation is ...

  f(x) = 4(x -1)^3·(x +2)

Answer:

1/2x-3 + 5x/2x+6 = 2

1/2x-3 + 5/2+6 = 2

1/2x-3 + 2.5+6 = 2

1/2x + 5.5 = 2

1/2x = 2-5.5

1/2x = 3.5

1 = -3.5 × 2x

1 = -7x

x = -1/7

hope it helps :)

The value when 6/24  is divided by 12/16 is equal to 1/3.

To divide the fraction 6/24 by 12/16, we can simplify the problem by multiplying the first fraction by the reciprocal of the second fraction.

Reciprocal of 12/16 is 16/12.

So, the division can be written as:

6/24 ÷ 12/16 = 6/24 × 16/12

6/24 = (6 ÷ 6) / (24 ÷ 6) = 1/4

16/12 = (16 ÷ 4) / (12 ÷ 4) = 4/3

Now, we have:

1/4 × 4/3

To multiply fractions, we multiply the numerators together and the denominators together:

(1 × 4) / (4 × 3)

= 4/12

The fraction 4/12 by dividing both the numerator and denominator by their greatest common divisor, which is 4:

(4 ÷ 4) / (12 ÷ 4)

= 1/3

Therefore, 6/24 divided by 12/16 is equal to 1/3.

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ6

Answer:

The height of the tree is 38.76.

Step-by-step explanation:

[tex]\frac{x}{69.53} =\frac{5}{8.97}[/tex]

x= [tex]\frac{69.53x5}{8.97}[/tex]

69.53x5= 347.65

347.65  8.97= 38.75696767

round the number (38.76)

Hope this helps

sorry if its wrong

Answer: x is nothing.

Step-by-step explanation: The goal is to get x by itself not with the numbers. You just have to solve the equation and whatever you get is equal to X. Example- your problem is 0.80x= 28 which would equal 172 if you're tryna find the solution. X does not matter in your equation and remember x can be any number! I'm not good at explaining so i'm sorry if you have no idea what i'm talking about. I hope this helps!

Your answer is 172.

-Notsonerdy

If y = aˣ, then y = exp(ln(aˣ)) = exp(x ln(a)). (Here I use exp(x) = eˣ.)

Then using the chain rule, the derivative of y is

dy/dx = exp(x ln(a)) • ln(a)

and undoing the rewriting, we end up with

dy/dx = ln(a) aˣ

Answer:

7 and 4

Step-by-step explanation:

If you set up a rectangle you get an area of 28 cm^2

4x7=28

the base is 7 cm

the height is 4 cm

Answer:

Step-by-step explanation:

A = ½(b₁ + b₂)h

b₂ = 2A/h - b₁

b₂ = 2(58)/4 - 12

b₂ = 17 ft

Answer:

  160 ft²

Step-by-step explanation:

The width is 40% of the length, so is ...

  0.40 × 20 ft = 8 ft

The area is the product of length and width:

  A = LW

  A = (20 ft)(8 ft) = 160 ft²