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3 years ago

Rewrite ×3×3×33 using an exponent

1 answer:

5 0

the exponent tells you how many times to multiply the base number by itself. for 35 the base number or base is 3 and the exponent is 5 the value is 3 x 3 x 3 x 3 x 3 which has 3 multiplied by itself five times So your question is going in the opposite direction. Rather than going from a power and expanding it, we have the expanded form and we are asked to write the power 3 x 3 x 3 is written 33

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3 years ago

Write an equation of the line that passes through (18,2) and is parallel to the line 3y-x=-12 .

uysha [10]

Answer:

$y = \frac{1}{3}x-4$

Step-by-step explanation:

Step 1: Solve for y in the first equation

$3y - x = -12$

$3y - x + x = -12 + x$

$\frac{3y}{3} = \frac{x}{3} - \frac{12}{3}$

$y = \frac{1}{3}x - 4$

Step 2: Determine the important aspects

We know that our line is parallel to the other line that has a slope of 1/3 which means that our slope is also going to be 1/3. We also know that our line crosses the point (18, 2) which means that we can use the point slope form to determine our equation

Point Slope Form → $(y-y_1) = m(x - x_1)$

Step 3: Plug in the information and solve

$(y-2) = \frac{1}{3}(x - 18)$

$y - 2 = \frac{1}{3}x - 6$

$y - 2 + 2 = \frac{1}{3}x - 6 + 2$

$y = \frac{1}{3}x-4$

Answer: $y = \frac{1}{3}x-4$

7 0

2 years ago

Find the measure of the side of the right triangle whose length is designated by a lowercase letter. (see attachment)

PilotLPTM [1.2K]

Answer:

a≈18 cm

Step-by-step explanation:

we have given:

an angle,

the adjacent side and

we need to find:

the opposite side

we know that the definition of

tan of an angle = opp. side/ adj. side

tan 61° = a/ 10

multiply both sides by 10

10 * tan61° = a

18.04047755 = a

18 ≈ a

8 0

3 years ago