How can we use the distributive property to show that 10x + 30x is equivalent to 40x? Explain.
2 answers:
Answer:
See below.
Step-by-step explanation:
We want to show that:
Using the distributive property.
To do so, let's take a look at our original expression:
From here, we can factor out a x. In other words, we <em>un-distribute</em>, the reversing the distribute property. This yields:
If we distribute again, we'll get the same thing.
From here, let's add within the parentheses...
And multiply:
This gets the desired result.
And we're done!
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See the attached diagram.
In the right triangle, x is opposite the 23.6 degree angle, and the adjacent side is 250 m. This suggests using the tangent ratio.
Finally, to get the height of the tree, add Sarah's height, 1.5 m.
The tree is approximately 110.7m tall.
In the right triangle, x is opposite the 23.6 degree angle, and the adjacent side is 250 m. This suggests using the tangent ratio.
Finally, to get the height of the tree, add Sarah's height, 1.5 m.
The tree is approximately 110.7m tall.