Answer:
The area of the new reduced parallelogram after dilation is 8 cm^2
Step-by-step explanation:
Mathematically, the area of a parallelogram = b * h
before dilation, area of the parallelogram = 8 * 4 = 32 cm^2
After dilation by a factor of 1/2, the base of the parallelogram becomes 1/2 * 8 = 4cm while the height becomes 1/2 * 4 = 2cm
Thus, the area of the dilated parallelogram is 4 * 2 = 8 cm^2
Answer: the answer is C
Step-by-step explanation:
When taking square roots, you can't take square roots of negative roots of negative numbers. So, what will work for the domain of u(x) is what makes u(x) zero or more. We can make an inequality for that.
u(x) ≥ 0.
9x + 27 ≥ 0 by squaring both sides
9x ≥ -27
x ≥ -3
So the domain of the function is when x ≥ -3 is true.
Answer:
10/6
Step-by-step explanation:
all you have to do is divide x2 or 5 in this case - x2 or -5 with y2 or 3 - y1 or 3 so it would be
(5--5)/(3--3)
and 2 negatives are a positive so it would turn to
5+5/3+3 or 10/6
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Option A:
6 – 4(3) < 5 – 10
Solution:
Given expression is 6 – 4(3) ____ 5 – 10.
Let us first simplify the expression.
Take left side expression.
⇒ 6 – 4(3)
⇒ 6 – 12
⇒ –6
Take right side expression.
⇒ 5 – 10
⇒ –5
To find which symbol makes the expression true.
In negative the highest number is the lowest in value.
–6 < –5
⇒ 6 – 4(3) < 5 – 10
Option A is the correct answer.
Hence 6 – 4(3) < 5 – 10.
