3 years ago

24pr+3 (p+2pr) please simplify and explain

1 answer:

7 0

24pr + 3(p + 2pr)
= 24pr + 3p + 6pr
= 24pr + 6pr + 3p
= 30pr + 3p
= 3p(10r + 1)

Explanation:
30pr + 3p
= 3p x 10r + 3p x 1
= 3p(10r) + 3p(1)
= 3p(10r + 1)

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The area of rectangular field is (49m2-42m+9).Find the dimensions of the field

Drupady [299]

Answer:

The dimensions are (7m-3) by (7m-3)

Step-by-step explanation:

We have the area of the rectangular field to be:

$49 {m}^{2} - 42m + 9$

We need to factorize this expression.

Let us rewrite to obtain:

${(7m)}^{2} - 2(7 \times 3)m + {3}^{2}$

We can easily see that the expression is actually a perfect square trinomial.

This gives us:

$(7m - 3)^{2}$

$(7m - 3)(7m - 3)$

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2 years ago

Solve system by subsubstitution? 14x-2y=46 -7x+y=-23

e-lub [12.9K]

$14x-2y=46 \\
-7x+y=-23 \\ \\
\hbox{solve the 2nd equation for y:} \\
-7x+y=-23 \\
y=7x-23 \\ \\
\hbox{substitute 7x-23 for y in the 1st equation:} \\
14x-2(7x-23)=46 \\
14x-14x+46=46 \\
14x-14x=46-46 \\
0=0 \\ \\
\boxed{\hbox{infinitely many solutions}}$