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3 years ago

The work of a student to solve a set of equations is shown:

1 answer:

6 0

Error in step 2

<span>Step 2: –7y = 16 – 2z [Equation A in Step 1 is simplified.]
(forgot to multiply -7 on the right side)

should be
</span><span>Step 2: –7y = -112 + 14z [Equation A in Step 1 is simplified.]</span>

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Perform the indicated operation. Be sure the answer is reduced.

avanturin [10]

<h3>Given Equation:-</h3>

$\boxed{ \rm \frac{4x^{2}y^{3}z}{9} \times \frac{45y}{8 {x}^{5} {z}^{5} }}$

<h3>Step by step expansion:</h3>

$\dashrightarrow \sf\dfrac{4x^{2}y^{3}z}{9} \times \dfrac{45y}{8 {x}^{5} {z}^{3} }$

$\\ \\$

$\dashrightarrow \sf\dfrac{ \cancel4x^{2}y^{3}z}{9} \times \dfrac{45y}{ \cancel8 {x}^{5} {z}^{3} }$

$\\ \\$

$\dashrightarrow \sf\dfrac{x^{2}y^{3}z}{9} \times \dfrac{45y}{2{x}^{5} {z}^{3} }$

$\\ \\$

$\dashrightarrow \sf\dfrac{x^{2}y^{3}z}{ \cancel9} \times \dfrac{ \cancel{45}y}{2{x}^{5} {z}^{3} }$

$\\ \\$

$\dashrightarrow \sf\dfrac{x^{2}y^{3}z}{1} \times \dfrac{5y}{2{x}^{5} {z}^{3} }$

$\\ \\$

$\dashrightarrow \sf\dfrac{x^{0}y^{3}z}{1} \times \dfrac{5y}{2{x}^{5 - 2} {z}^{3} }$

$\\ \\$

$\dashrightarrow \sf\dfrac{y^{3}z}{1} \times \dfrac{5y}{2{x}^{3} {z}^{3} }$

$\\ \\$

$\dashrightarrow \sf\dfrac{y^{3}z {}^{0} }{1} \times \dfrac{5y}{2{x}^{3} {z}^{3 - 1} }$

$\\ \\$

$\dashrightarrow \sf\dfrac{y^{3}}{1} \times \dfrac{5y}{2{x}^{3} {z}^{2} }$

$\\ \\$

$\dashrightarrow \sf \dfrac{5y \times {y}^{3} }{2{x}^{3} {z}^{2} }$

$\\ \\$

$\dashrightarrow \sf \dfrac{5y {}^{0} \times {y}^{3 + 1} }{2{x}^{3} {z}^{2} }$

$\\ \\$

$\dashrightarrow \sf \dfrac{5 \times {y}^{4} }{2{x}^{3} {z}^{2} }$

$\\ \\$

$\dashrightarrow \bf \dfrac{5 {y}^{4} }{2{x}^{3} {z}^{2} }$

$\\ \\$

$\therefore \underline{ \textbf{ \textsf{option \red c \: is \: correct}}}$

8 0

2 years ago

Rewrite standard form equation in graphing form and then sketch the graph

Aleonysh [2.5K]

Türkiye cumhuriyeti ccc

8 0

3 years ago

PB is a line segment on a number line. It has endpoints at -2 and 12. What is the coordinate of its midpoint.

Svetlanka [38]

The coordinate of the midpoint:
x m = ( x 1 + x 2 ) / 2
x 1 = - 2, x 2 = 12
x m = ( - 2 + 12 ) / 2 = 10 / 2 = 5
Answer:
The coordinate of the midpoint of a line segment PB is 5.

6 0

4 years ago

Read 2 more answers

The figure shows the letter Z and four of its transformed images—A, B, C, and D:

tiny-mole [99]

Given:

The figure shows the letter Z and four of its transformed images—A, B, C, and D.

To find:

Which of the following rules will transform the pre-image of Z in quadrant 2 into its image in quadrant 1?

Solution:

From the figure it is clear that the pre-image of Z in quadrant 2 and its image in quadrant 1 (image A) are the mirror image of each other along the y-axis.

It means the pre-image of Z in quadrant 2 reflected across the y-axis to get the image in quadrant 1.

If a figure reflected across the y-axis, then rule of transformation is

$(x,y)\to (-x,y)$

So, the rule $(x,y)\to (-x,y)$ transform the pre-image of Z in quadrant 2 into its image in quadrant 1.

Therefore, the correct option is c.

3 0

3 years ago

How is solving for speed similar to solving for time?

shutvik [7]

Answer:

C) They both involve writing a rate.

Step-by-step explanation:

5 0

2 years ago