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liq [111]
3 years ago
15

Rewrite the expression in the form a^n a^5xa^-3

Mathematics
1 answer:
erik [133]3 years ago
6 0
<h3>Answer:   a^2</h3>

Work Shown:

I'm assuming the "x" means "multiply", and it is not a variable.

a^5 * a^(-3) = a^(5+(-3)) = a^(5-3) = a^2

The rule I'm using is

a^b*a^c = a^(b+c)

The base is always the same. We add the exponents.

The expression a^2 is in the form a^n with n = 2.

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The triangles shown have the same perimeter. What is the value of x?
olga nikolaevna [1]

Answer:

18

Step-by-step explanation:

Since you know the perimeters are equal, write your equation.

x+6 + x+6 + x+6 = x + x+6 + 2x-6

combine like terms

3x + 18 = 4x

isolate your x by subtracting 3x from each side

18 = x

check your answer:

3x + 18 = 72

4x = 72

8 0
2 years ago
What is the equation that passes through the given point and has the given slope (-2, -1); m= -3
klemol [59]

Answer:

y = - 3x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3, then

y = - 3x + c ← is the partial equation

To find c substitute (- 2, - 1) into the partial equation

- 1 = 6 + c ⇒ c = - 1 - 6 = - 7

y = - 3x - 7 ← equation of line

3 0
2 years ago
Read 2 more answers
A locus of points equidistant from a fixed point is a
kap26 [50]

Answer:

B. bisector of an angle.

5 0
3 years ago
In science class, Logan estimates the volume of a sample to be 42 mL. The actual volume of the sample is 48 mL. Find the percent
galina1969 [7]

Answer:

Percent of error of Logan's Estimate is 12.5%

Step-by-step explanation:

Given:

Actual Volume of sample =48 mL

Estimated Volume of sample = 42 mL

We need to find the percent errors of Logan estimate.

To calculate percent of error below are the steps.

Step 1: Subtract the Actual value from the estimated value.

Step 2: Take the absolute value of step 1

Step 3: Divide that answer by the Actual value.

Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

Now Substituting the values we get;

Step 1: To Subtract Actual Volume with Estimated Volume

Estimated Volume of sample - Actual Volume of sample = 42 - 48 = -6 mL

Step 2: Find Absolute value we get;

|-6| = 6

Step 3 : Divide that answer by the Actual volume.

\frac{6}{48}=0.125

Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

0.125\times 100 = 12.5\%

Hence Percent of error of Logan's Estimate is 12.5%

5 0
3 years ago
Where is the exact volume of the sphere
baherus [9]

\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=12.3 \end{cases}\implies V=\cfrac{4\pi (12.3)^3}{3}\implies \stackrel{\pi =3.14}{V\approx 7790.83}

7 0
3 years ago
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