Step-by-step explanation:
4/m=16
4/m=16/1
16m=4
divide both sides by 16
therefore, m is equal to 0.25
Answer:
A. 4x¹² + 9x⁷ + 3x³ -x
Step-by-step explanation:
Hi!
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To write a polynomial in descending order, we write the terms with higher degrees, or exponents, first.
3x³ + 9x⁷ -x + 4x¹²
4x¹² has the highest degree, so it is written as the first term.
⇒4x¹²
9x⁷ has the next highest degree, so it is written next.
⇒4x¹² + 9x⁷
3x³ has the next highest degree, so it is written next.
⇒4x¹² + 9x⁷ + 3x³
-x has the lowest degree, so it is written last.
⇒4x¹² + 9x⁷ + 3x³ -x
<u>4x¹² + 9x⁷ + 3x³ -x</u>
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<em>Hope I Helped, Feel free to ask any questions to clarify :)</em>
<em>Have a great day!</em>
<em> -Aadi x</em>
Answer:
The other side was decreased to approximately .89 times its original size, meaning it was reduced by approximately 11%
Step-by-step explanation:
We can start with the basic equation for the area of a rectangle:
l × w = a
And now express the changes described above as an equation, using "p" as the amount that the width is changed:
(l × 1.1) × (w × p) = a × .98
Now let's rearrange both of those equations to solve for a / l. Starting with the first and easiest:
w = a/l
now the second one:
1.1l × wp = 0.98a
wp = 0.98a / 1.1l
1.1 wp / 0.98 = a/l
Now with both of those equalling a/l, we can equate them:
1.1 wp / 0.98 = w
We can then divide both sides by w, eliminating it
1.1wp / 0.98w = w/w
1.1p / 0.98 = 1
And solve for p
1.1p = 0.98
p = 0.98 / 1.1
p ≈ 0.89
So the width is scaled by approximately 89%
We can double check that too. Let's multiply that by the scaled length and see if we get the two percent decrease:
.89 × 1.1 = 0.979
That should be 0.98, and we're close enough. That difference of 1/1000 is due to rounding the 0.98 / 1.1 to .89. The actual result of that fraction is 0.89090909... if we multiply that by 1.1, we get exactly .98.
Answer:
0.05 in decimal form
Step-by-step explanation:
I don't know if you accidentally left something out but if you did I can edit my answer or put the answer in the comments.