Brandon uses the steps below to solve the equation 15 x + 6 = 14 x + 5 using algebra tiles.

2 answers:

7 0

Brandon is not correct because he should have added 6 negative unit tiles to isolate the variable in step 2—— the answer would have been x=-1

Korolek [52]3 years ago

6 0

Answer:

x=-1

Step-by-step explanation:

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Jacob wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence

Citrus2011 [14]

Jacob wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn,so he needs no fence on that side.

Let w be the width of the enclosure (perpendicular to the barn) and let l be the length of the enclosure (parallel to the barn).

one side of the length is not counted for perimeter because one side of length will be against the barn.

Perimeter = 400 ft

Perimeter of rectangle = L + W + W

400 = L + 2W

L = 400 - 2W

Area = L * W

Replace L by 400 - 2W

A(W) = (400 - 2W) * W

$A(W) = -2W^2 + 400W$

Now we find out x coordinate of vertex to find the width that maximize the area

$W = \frac{-b}{2a}$

a= -2 and b = 400

$W = \frac{-(400)}{2(-2)}=100$

The width w would maximize the area is w = 100ft

To find maximum area we plug in 100 for W in A(W)

$A(W) = -2W^2 + 400W$

$A(W) = -2(100)^2 + 400(100)= 20000$

the maximum area is 20,000 square feet

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3 years ago

1/6 divided by 6 by 6

Ahat [919]

the answer is 1/216

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7 0

2 years ago

Read 2 more answers

Help!!!!!!!!!!!!!!!!!!!!!!!!!

pav-90 [236]

Measure of Angle 2 = 100 degrees
measure of Angle 6 = 100 degrees

Since angle 2 and angle 6 are both 100 degrees, this makes them congruent angles. They are also corresponding angles as well.

The fact we have corresponding angles that are congruent leads to AB being parallel to CD. This is using the Converse of Corresponding Angles Theorem.

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