<span><span>Factor
<span><span><span>9<span>x3</span></span>+<span>30<span>x2</span></span></span>+<span>24x</span></span><span><span><span>
9<span>x3</span></span>+<span>30<span>x2</span></span></span>+<span>24x</span></span><span>
=<span><span><span>3x</span><span>(<span><span>3x</span>+4</span>)</span></span><span>(<span>x+2</span>)</span></span></span></span></span>
Answer:
D. 18 bags
Step-by-step explanation:
Given:
Matilda is filling a circular section of her porch with colorful pebbles.
Diameter of circular section = 15 feet.
Each bag of pebbles covers 10 square feet.
Question asked:
How many bags of pebbles will Matilda need?
Solution:
Diameter of circular section = 15 feet
Radius, r =
10 square feet is covered by number of bag of pebbles = 1
1 square feet is covered by number of bag of pebbles =
176.78 square feet is covered by number of bags of pebbles =
We found up to 17 bags of pebbles there is still some place left to fill the section:-
Thus, Matilda need about 18 bags of pebbles to fill the circular section of her porch.
The answer is D. 1,000,000
A calculator would answer this, but i’m assuming your asked to make a estimate without a calculator. An easier way to look at dividing by fractions would be multiplying by its reciprocal
Since this fraction is .004 or 4/1000 the reciprocal would be 1000/4, or 250.
Since 250 times 4,367 is still a relatively hard multiplication problem. I would just make the 250, 200.
Now that the problem is simplified, a trick when multiplying any number divisible by 10, is to take the zeros out, multiply the number, then add them back.
So 4,367 x 2 = about 8,600, then adding two 0s from the 200, that is now 860,000.
Looking at the answers the closest to this is 1,000 so the answer is D
55
you know you can just use a calculator or a search engine for that, right?
Part (a)
<h3>Answer: y1 and y3 are perpendicular</h3>
This is because the two slopes 2 and -1/2 multiply to -1. Perpendicular slopes multiply to -1 assuming neither line is vertical or horizontal.
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Part (b)
Graph each line to see where they cross. The three points of intersection are
(0,4)
(2,-2)
(4,2)
The order of the points doesn't matter.
You could also form three systems of equations pairing up the equations, and solving each system. That way you can find the points of intersection. Graphing may be a better and faster route in my opinion. See the diagram below.