Answer:
Step-by-step explanation:
multiply the top and bottom of the fraction by 15x
2*15x
=======
5*15x
30x
====
75x
Answer:
slope =-1/14
Step-by-step explanation:
slope =(y1-y2)/(x1-x2)
slope=(1-2)/(-3--17)
slope=-1/14
Answer:
We want to expand the expression:
We can just do it by brute force, this is:
First, rewrite our expression as the product of two square factors:
Now we can expand each one these two factors:
That can be simplified to
Now we can replace that in our original expression to get:
Now we can expand that last product, to get:
We can simplify that to:
That is the expanded expression.
Simplifying the expression 4(0.5 x + 2.5 y minus 0.7 x minus 1.3 y + 4) we get
Option A is correct.
Step-by-step explanation:
We need to simplify the expression 4(0.5 x + 2.5 y minus 0.7 x minus 1.3 y + 4)
Writing the expression in mathematical form
Combining like terms:
Multiply 4 with terms inside the bracket
So, simplifying the expression 4(0.5 x + 2.5 y minus 0.7 x minus 1.3 y + 4) we get
Option A is correct.
Keywords: Simplifying Expressions
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The volume of a cylinder:
V = πr²H
A diameter is equal 2r (r-a radius), therefore 2r = 10in ⇒ r = 5in.
H = 3r ⇒ H = 3 · 5in = 15in
subitute:
V = π · 5² · 15 = π · 25 · 15 = 375π (in³) ≈ 375 · 3.14 = 1,177.5 (in³)
Answer: V = 1,177.5 in³