solve: log3(x)+log3(x-2)=log3(x+10)​

Answer:

1/3y-7

Step-by-step explanation:

For these kinds of problems you want to combine like terms. 2/3y and -1/3y are like terms, and when adding them together, or subtracting 1/3y from 2/3y, you get 1/3y. -3 and -4 are like terms, and adding them together gives you -7. The final expression can be written as 1/3y-7.

To write an equivalent expression, we need to simplify the given expression by combining like terms. Like terms are terms that have the same variable and exponent. We can use the distributive property to remove parentheses or other grouping signs to then combine like terms.

The given expression is -3 + 2/3y - 4 - 1/3y. We can see that there are no parentheses or grouping signs, so we can skip that step. We can also see that there are two like terms: 2/3y and -1/3y. We can combine them by adding their coefficients: 2/3 + (-1/3) = 1/3. So, we get:

-3 + 2/3y - 4 - 1/3y = -3 - 4 + (2/3 - 1/3)y = -7 + (1/3)y

This is the simplified expression that is equivalent to the given expression.

Answer:

(- 1, - 5 )

Step-by-step explanation:

Given the 2 equations

y = 3x - 2 → (1)

6 + y = - x → (2)

Substitute y = 3x - 2 into (2)

6 + 3x - 2 = - x

4 + 3x = - x ( add x to both sides )

4 + 4x = 0 ( subtract 4 from both sides )

4x = - 4 ( divide both sides by 4 )

x = - 1

Substitute x = - 1 into (1) for corresponding value of y

y = 3(- 1) - 2 = - 3 - 2 = - 5

solution is (- 1, - 5 )

Answer:

x=-1

Step-by-step explanation:

5x=-5

[tex]x=\frac{-5}{5}=-1[/tex]

Answer:

4

Step-by-step explanation:

Answer:

well if she has 52 notions and 16 patterns you will have to multiply

Answer:

The width would be 86cm

Step-by-step explanation:

Perimeter is (Width*2) +(Length*2)

Length is 96, multiply by 2 : 96*2 = 192

Subtract this from the total perimeter (364-192 = 172)

Divide this by 2 to get 1 width value (172/2 = 86)

86 cm

Answer:

(x−5)^2+(y+6)^2=9

Step-by-step explanation:

Answer:

i think its a

Step-by-step explanation:

Answer:

B 7.2

Step-by-step explanation:

the coordinate of C: (1, 3)

the coordinate of E: (5, -3)

the distance formula: [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]

= [tex]\sqrt{(5-1)^{2} + (-3-3)^{2}}[/tex]

= [tex]\sqrt{16+36}[/tex]

= [tex]\sqrt{52}[/tex]

≈ 7.2

Answer:

110 cm

Step-by-step explanation:

I added up all the numbers.

Hope this helps:)

Answer:

the initial investment is $1,200

Step-by-step explanation:

The computation of the initial investment is shown below:

As we know that

Let us assume the investment be 100

So, the investment increased be 72

So,

Simple interest = Principal × rate of interest × time period

72 = Principal × 3% × 2 years

So, the principal is

= 72 ÷ 3% × 2

= $1,200

hence, the initial investment is $1,200

Answer:

x=4.375

Step-by-step explanation:

Answer:

x= 1.71

Step-by-step explanation:

We need to isolate x in the equation, first subtract 70 from the left side, so the equation is, -[tex]2^{3x\\}[/tex]=-35. There is a negative sign in both equations so we cancel them out so our equation is  [tex]2^{3x\\}[/tex]=35. Now we use log, so our equation now looks like  {log(35)/log(2)}/3=x. When we do it out we get that x=1.70976, and when rounded we get, x-1.71.

Answer:

tge radius is half the diameter so 1/2 of 3 1/2 =1.75 or 1 3/4

Answer:

36 cm2

Step-by-step explanation:

Answer:

36cm² your welcome

Answer:

Sum of angles of a regular polygon is 360°

If one angle is 8°, then number of sides is:

Sum of interior angles of a polygon with n sides:

Exterior angle measure is:

Sum of exterior angles is 360°

Each exterior angle is:

Answer:

Step-by-step explanation:

y intercept is 0, 15

x intercept is -40,0

15/40 = 3/8

y = 3/8 x + b

15 = b

y = 3//8x + b

Answer:

x-intercept : (-40,0)  y-intercept: (0,15)

Step-by-step explanation:

I hope this helps :)

Answer:

(2,3,4)

First you take the exponent and times 2 by two then you get four then you subtract the 4 from the 1 and you get three then group thennumbers that gotten used

Answer:

4k - 12

Step-by-step explanation:

k + k + k + k - 12

4k - 12

It's 4k because you're adding and not multiplying

If you were multiplying it would be k^4

Answer:

D. 50x+1,250>3,750

Step-by-step explanation:

Answer:

$32.67

Hope this helps!

Answer:

$54.6

Step-by-step explanation:

mean = add all the numbers together and divide by the amount of numbers

29+58+15+129+75+22=328

328/6= 54.6

you can put 55 it it requires you to round up

Answer:

m<FEG = 23°

m<FEH = 113°

Step-by-step explanation:

A diameter is always 180° to it's corresponding arc.

The circumference or full arc of a circle is 360°.

If EG is a diameter, Arc EG is 180°.

Given that Arc EF = 134°, and Arc EG = 180°.

Arc EF + Arc EG + Arc FG = 360°.

134° + 180° + Arc FG = 360°

314° + Arc FG = 360°

–314° –314°

Arc FG = 360° – 314° = 46°

The angle formed by the two chords that make the arc is ½ the measure of that Arc.

Meaning that m<feg which is the angle formed by arc FG is ½ 46° which means that m<feg = 23°.

Given that segment EH is tangent to point E.

The rule of a segment and a tangent is that the angle formed is also ½ the measure of the arc.

This means that m<FEH = ½(Arc FG + Arc EG)

m<FEH = ½(46° + 180°) = ½(226°) = 113°

Answer:

3 good luck with the answer

Answer\

12,878,452,949,953 hours

plz leave a heart and 5 stars :-)

Answer:

a) 360 -(66+120+90)=84

b)90 from 360

f x from 66

x=(90 x 66)÷360=16.5

Answer:

uh wut's the question?

Step-by-step explanation:

Answer:

There is no question here, what did you need help with?

Answer:

Sclaene triangle

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

The Lines are all different angles hence they are all different lengths

Answer:

B, D

Step-by-step explanation:

Sorry if I'm wrong. I dont know if E is right or not

Answer:

B, D

Step-by-step explanation

Answer:

Step-by-step explanation:

hello :

Sinx/1-cosx=1+cosx/sinx means : sin²x= (1-cosx)(1+cosx)

sin²x= 1-cos²x

sin²x+cos²x =1

Answer:

251.2

Step-by-step explanation:

V=πr²h

3.14×4²×5

Answer:

5x feet or x times 5.

Step-by-step explanation: