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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"

<em>The expression $log_5125+log_5125$ means "5 raised to what power is 125" + "5 raised to what power is 125".</em>

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)
<span> B.log5(5^6)
C.6
The explanation is shown below:
By applying the logarithms properties, you have:
A. </span><span>log5(125)+log5(125)=log5(125)(125)=log5(15625)
B. </span>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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bezimeni [28]

The coordinate for the point M is (51/6, 13/6) if the point M on a segment with endpoints X (1, -2) and Y (10, 3) partitions the segment in a 5:1 ratio.

<h3>How to explain the information?</h3>

We have a line segment: XY with end coordinates X(1, -2) and Y(10, 3)

The coordinate for the point M:

x = (1+50)/6 = 51/6

y = (-2+15)/6 = 13/6

Thus, the coordinate for the point M is (51/6, 13/6) if the point M on a segment with endpoints X (1, -2) and Y (10, 3) partitions the segment in a 5:1 ratio.

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2 years ago

Find the length of a segment with endpoints Y(2, 8) and Z(- 2, 5) .

Andrej [43]

<em>The distance the length of a segment with endpoints Y(2, 8) and Z(-2, 5) is 5 units</em>

<h2>Explanation:</h2>

Endpoints of a Line segments are places where they end or stop. Line segments are named after their endpoints. In this case, those endpoints are Y and Z, so the line segment would be:

$\overline{YZ} \ or \ \overline{ZY}$

To find the length of this segment with endpoints Y(2, 8) and Z(-2, 5), let's use the Distance Formula:

$d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

$Let's \ write: \\ \\ Y(x_{1},y_{1}) \rightarrow Y(2, 8) \\ \\ Z(x_{2},y_{2}) \rightarrow (-2, 5) \\ \\ \\ Substituting: \\ \\ d=\sqrt{(-2-2))^2+(5-8)}^2 \\ \\ d=\sqrt{(-4)^2+(-3)^2} \\ \\ d=\sqrt{16+9} \\ \\ d=\sqrt{25} \\ \\ \boxed{d=5}$

Finally, <em>the distance the length of a segment with endpoints Y(2, 8) and Z(-2, 5) is 5 units</em>

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Step-by-step explanation:

Bernie had $30 in his bank account.

Today he withdrew $d

Now he has = $30 — $d

Because from $30 he took away $d that’s why $d have to subtract from the $30.

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So, the expression to represent how much money Bernie will have in his bank account is $30 —$d + 15

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The formula for finding the perimeter of a quadrilateral is Length + Length + Width + Width.

<h3>What is Perimeter?</h3>

A perimeter is the path that surrounds a certain shape. To calculate the path that surrounds a quadrilateral, we need to get the sum of its four sides, both lengths and widths, lengths being the longest sides and the widths being the shortest.
The formula used for calculating perimeter is Perimeter = Length + Length + Width + Width.
For instance, to calculate the perimeter of a parallelogram with a side of 5 cm and one of 3 cm, we insert the numbers in their corresponding spot in the formula as such: Perimeter=5+5+3+3=16 cm or since parallelograms have 2 sets of 2 equal sides, we can use this formula Perimeter=(5×2)+(3×2)=10+6=16 cm.
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