PLEASE HELP QUICK
2 answers:
Answer: SECON OPTION.
Step-by-step explanation:
The correct form to apply thee Distributive property is the shown below:
Keeping on mind that:
(-)(-)=+
You obtain:
Simpliying, the have:
Add the like terms and solve for <em>d:</em>
<em> </em>
Therefore, you can conclude that Celia made the first error in STEP 1. She should have also distributed over
to get
.
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Answer:
The scale factor is 0.25
Step-by-step explanation:
we know that
The dilation is a non-rigid transformation that produce similar figures
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In this problem
ABCD and A'B'C'D' are similar
therefore
Find the scale factor
Looking at the graph
we have
Let
z ---> the scale factor
substitute the values
<h3>Answer: 2 meters</h3>
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Explanation:
x = width of the sidewalk path
The variable x is some placeholder for a positive number.
Check out the diagram below.
The green rectangle is the garden itself. The gray portion represents the sidewalk path. It's only along one vertical side and one horizontal side. So this sidewalk does not entirely encompass the garden.
If the horizontal component of the green garden rectangle is 12 meters, then it bumps up to 12+x meters when we incorporate the sidewalk.
Similarly, the vertical component of 5 meters bumps up to 5+x meters.
The entire figure is (12+x) by (5+x) which leads to an area of...
area = length*width
area = (12+x)(5+x)
area = 12(5+x) + x(5+x)
area = 60+12x+5x+x^2
area = x^2+17x+60
Set this equal to the desired area of 98 and solve for x.
x^2+17x+60 = 98
x^2+17x+60-98 = 0
x^2+17x-38 = 0
(x+19)(x-2) = 0
x+19 = 0 or x-2 = 0
x = -19 or x = 2
We stated earlier that x was positive, so we're going to ignore the first solution. Only x = 2 is practical here, so it's the final answer.
----------------
Note that if x = 2, then,
- horizontal length = 12+x = 12+2 = 14 meters
- vertical width = 5+x = 5+2 = 7 meters
- larger area = length*width = 14*7 = 98 square meters
This helps us confirm we have the correct answer.