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3 years ago

Which expressions are equivalent to the one below?check all that apply.

Mathematics

2 answers:

Makovka662 [10]3 years ago

5 0

Answer:

A, B, and C

Step-by-step explanation:

The expression $log_{x}a=b$ means "x to the power b equal a"

The expression $log_5125+log_5125$ means "5 raised to what power is 125" + "5 raised to what power is 125".

we know 5 to the power 3 is 125, so the expression is 3 + 3 = 6

$log_{5}15,625$ means 15 to "what power" gives us 15,625?

we know that 5 to the power 6 is 15625, so the expression $log_{5}15,625$ is equal to 6.

The expression $log_{5}(5^6)$ means 5 raised to what power is "5 raised to 5"? Simple, the answer is 6

this is 6 (given)

Whenever we don't have a base for the log, it is taken as "base 10". So the expression Log 15625 means "10 raised to what power is 15,625"? It is approximately 4.19

Thus we can see that Option A, B, & C all are equal to the expression given (6).

sineoko [7]3 years ago

3 0

The answers for the question shown above are the option A, the option B and the option C, which are:
A.log5(15625)
 B.log5(5^6)
C.6
The explanation is shown below:
By applying the logarithms properties, you have:
A. log5(125)+log5(125)=log5(125)(125)=log5(15625)
B. log5(125)+log5(125)=log5(15625)=log5(5^6)
C. og5(125)+log5(125)=log5(15625)=log5(5^6)=6log5(5)=6

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PLEAS3E CHECK MY ANSWER

IRINA_888 [86]

I'd say the correct answer is D bc it's talking about the SAS theorem, excuse me if I'm wrong tho.

4 0

3 years ago

The equation of a parabola is y=x2+6x+9. Write the equation in vertex form.

nignag [31]

Answer:

Step-by-step explanation:

Vertex form is accomplished by completing the square on the quadratic. Do this by first setting the parabola equal to 0 then moving the constant over to the other side:

$x^2+6x=-9$

Now take half the linear term, square it, and add it to both sides. Our linear term is 6. Half of 6 is 3, and 3 squared is 9:

$x^2+6x+9=-9+9$

The reason we do this is to create a perfect square binomial on the left:

$(x+3)^2=0$ (obviously the 0 results from the addition of 9 and -9). Move the 0 back over to the other side and set the quadratic back equal to y:

$(x+3)^2+0=y$

This gives you a vertex of (-3, 0), which is a minimum value, since the parabola opens upwards.

6 0

3 years ago

Which ordered pair is a solution to the system of equations?

elixir [45]

I believe it would be (b) (-2,1)

4 0

3 years ago

Read 2 more answers

Solve by using Pythagorean Theorem, a= 5, b= x-1, and c=x

charle [14.2K]

The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.

Step-by-step explanation:

The given is,

a = 5

b = x - 1

c = x

Step:1

Pythagorean theorem is,

$a^{2} + b^{2} = c^{2}$ ................................(1)

( It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides )

From the given values the equation (1) becomes,

$5^{2} + (x-1) ^{2} = x^{2}$

( $(a-b)^{2} = a^{2} + b^{2} -2ab$ )

25 + ( $x^{2}$ + 1 - 2x ) = $x^{2}$

25 + 1 -2x = 0 ( ∵ Eliminate $x^{2}$ in both sides)

26 = 2x

x = 13

Step:2

From the values of x,

a = 5

b = ( 13 - 1 ) = 12

c = 13

Result:

The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.

3 0

3 years ago

Denise is designing the seating arrangement for a concert an outdoor theater. To give everyone a good view, each row must have 6

Soloha48 [4]

Given:
1st term = 11
common difference = 6

f(x) = 11 + 6(x - 1)
f(18) = 11 + 6(18-1)
f(18) = 11 + 6(17)
f(18) = 11 + 102
f(18) = 113 number of seats in row 18.

Row
 1 11 11
2 11 6 17
 3 17 6 23
 4 23 6 29
 5 29 6 35
 6 35 6 41
 7 41 6 47
 8 47 6 53
 9 53 6 59
 10 59 6 65
 11 65 6 71
 12 71 6 77
 13 77 6 83
 14 83 6 89
 15 89 6 95
 16 95 6 101
 17 101 6 107
 18 107 6 113

6 0

3 years ago