Answer:
A negative exponent means how many times to divide by the number.
Step-by-step explanation:
Example: 8 to the power -1 = 1 ÷ 8 = 1/8 = 0.125.
To solve Q.15, remember to multiply the first numerical coefficient, in this case 3 to -12, to find the numbers to multiply and get that product. The middle term represents the sum the same two numbers must add to.
For example:
3r^2 - 16r - 7 = 5
3r^2 - 16r - 12 = 0
What 2 numbers multiply to give you -36, and add to give you -16, are -18 and +2, since -18 • 2 = -36, and -18 + 2 = -16.
3r^2 - 18r + 2r - 12 = 0
Factor
3r(r - 6) + 2(r - 6) = 0
(3r + 2)(r - 6) = 0
r = 6
3r + 2 = 0
3r = -2
r = -2/3.
Your 2 solutions for r are -2/3 and 6.
Explanation:
It isn't clear what the elements of your flowchart are supposed to look like. In general, the proof would go like this:
1. List the "givens": PQ=6=TS; ∠P=120°=∠T; ∠PRQ and ∠TRS are vertical angles.
2. Note that the vertical angles are congruent
3. Claim ΔPRQ ≅ ΔTRS by the AAS congruence postulate since two corresponding adjacent angles and the corresponding sides not between them have been shown to be congruent.
So if we are increasing a number, we are increasing its percentage value. The normal percentage value for an item is 100% or 1. We can take 3% and turn it into a decimal.
3% is the same as 0.03 as a decimal. The next step is to add 0.03+1 .00 to get 1.03. We have to always add the 1.00 whenever we are increasing the value. I’ll give you a reason why, let’s say you want to buy a skateboard and there are no sales so that you can get it for cheaper. The price will always be 1.00% no matter what.
So lastly we have to multiply 1.03 by 10
Which will give us 10.30
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The actual measurement of the length of the colored face of the aquarium is <u>D. 36 inches by 14 inches</u>.
<h3>What is a scale drawing?</h3>
Generally, a scale drawing is described as a drawing that has been reduced or enlarged from its original size to a specified scale.
For instance, the scale of the drawing of the original aquarium is ¹/16. This implies that the length, width, and height have been scaled down to one-sixteenth of the original size.
<h3>Data and Calculations:</h3>
Scale drawing = ¹/16 of the original aquarium
Length of the colored face = 2¹/₄ inches
The actual length of the colored face = 36 inches (2¹/₄ inches x 16)
Thus, the actual measurement of the length of the colored face of the aquarium is <u>D. 36 inches by 14 inches</u>.
Learn more about measurements at brainly.com/question/24842282