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devlian [24]
1 year ago
9

Please help me solve this:Determine an equivalent algebraic monomial expression for each expression using the laws of exponents.

Show your work.

Mathematics
1 answer:
3241004551 [841]1 year ago
6 0

The Solution:

Given:

Required:

Simplify the given expression.

(5.6kj^8)(-3.25k^9)(\frac{1}{4}k^7j^{12})=(5.6\times-3.25\times\frac{1}{4})(k\times k^9\times k^7\times j^8\times j^{12}

Applying the rule of exponent, we get:

=(5.6\times-3.25\times\frac{1}{4})(k\times k^9\times k^7\times j^8\times j^{12}=-4.55\times k^{(1+9+7)}\times j^{(8+12)}=-4.55\times k^{(1+9+7)}\times j^{(8+12)}=-4.55\times k^{17}\times j^{20}=-4.55j^{20}k^{17}

Answer:

\begin{equation*} -4.55j^{20}k^{17} \end{equation*}

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Find the area of a square with sides of length 3 yard.
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To calculate the area of a square, just do length×width. In this case, it is 3×3, so the answer should be 9 square yards.

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3 years ago
The vertices of a figure are given. Find the coordinates of the figure after the transformations given. A(−5,3),B(−2,3),C(−2,1),
Tanzania [10]

Answer:

Reflection: A' (5, 3)

                  B' (2, 3)

                  C' (2, 1)

                  D' (5, 1)

Dialation: A"(10, 6)

                B" (4, 6)

                C" (4, 2)

                D" (10, 2)          

Step-by-step explanation:

A(−5,3),B(−2,3),C(−2,1),D(−5,1)

To reflect over the y-axis you change the value of x. In this case all of the values for x are negative. You turn them all into a positive.:

                   A' (5, 3)

                  B' (2, 3)

                  C' (2, 1)

                  D' (5, 1)

To dialate by a scale factor of 2 you multiple everything by 2 and you should get:           A"(10, 6)

               B" (4, 6)

               C" (4, 2)

                D" (10, 2)          

Hoep this helps!!

3 0
3 years ago
Read 2 more answers
(2 p + 7)(3 p - 9)
scZoUnD [109]

(2p+7)(3p-9)\\6p^2-18p+21p-63\\6p^2+3p-63

Your answer is 2. 6p^2+3p-63!

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

7 0
3 years ago
Read 2 more answers
Write the point slope form of the line that passes through (-8,2) and is perpendicular to a line with a slope of -8
Fynjy0 [20]

Answer:

y - 2 = \frac{1}{8}(x +8)

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes. Since the slope of one line is -8, its perpendicular line will have the slope of 1/8.

Substitute m = 1/8 and (-8,2) into the point slope form of a line.

y - y_1 = m(x-x_1)\\y - 2 = \frac{1}{8}(x --8)\\y - 2 = \frac{1}{8}(x +8)

7 0
3 years ago
PLZ HELP: Write the inverse function for the function, ƒ(x) = 1/2x + 4. Then, find the value of ƒ -1(4). Type your answers in th
Sunny_sXe [5.5K]

Answer:

see explanation

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = \frac{1}{2} x + 4 ( multiply through by 2 to clear the fraction )

2y = x + 8 ( subtract 8 from both sides )

2y - 8 = x

Change y back into terms of x with x = f^{-1} (x) , then

f^{-1}(x ) = 2x - 8

f^{-1}(4) = 2(4) - 8 = 8 - 8 = 0

3 0
4 years ago
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