Short side length = x
Medium side = x + 7
Long side = 5x
Total 49, so
x + x + 7 + 5x = 49
If you combine like terms:
7x + 7 = 49
Subtract 7 from both sides
7x = 42
Divide both sides by 7
x = 6 inches
9 miles, you dont even need much math, just common sense. divide 12 by 4 and you get three. multiply 3 by 3 to get 9.
Answer:
CI = 29.8 ± 3.53
Critical value is z = 2.58
Step-by-step explanation:
First of all let's find margin of error. It is given by the formula;
ME = zσ/√n
We are given;
Standard deviation; σ = 3.62
Sample size; n = 7
Mean; x¯ = 29.8
Now, z-value for 99% Confidence level is 2.58
Thus;
ME = (2.58 × 3.62)/√7
ME = 3.53
CI is written as;
CI = x¯ ± ME
CI = 29.8 ± 3.53
Critical value is z = 2.58
For # 1, the answer will be 1 because of the exponential rule
![a^{0} = 1](https://tex.z-dn.net/?f=%20a%5E%7B0%7D%20%3D%201)
.
#2, the answer is going to be
![x^{4}](https://tex.z-dn.net/?f=%20x%5E%7B4%7D%20)
because of the exponential rule
![a^{-b} = \frac{1}{a ^{b} }](https://tex.z-dn.net/?f=%20a%5E%7B-b%7D%20%3D%20%5Cfrac%7B1%7D%7Ba%20%5E%7Bb%7D%20%7D%20)
.
#3. I'm not sure that this could be simplified any further.
#4 To get the answer to this question, we must apply the distributive property, along with the exponential rule
. When we apply these properties, we'll get
![- \frac{3}{x^4}](https://tex.z-dn.net/?f=-%20%5Cfrac%7B3%7D%7Bx%5E4%7D%20)
For the other questions, they all apply the Laws of Exponents.
Answer:
F and H
Step-by-step explanation:
From the image attached, the location of the points are E = -9, F = -6, G = -2, H = 6, I = 8. The law of additive inverse states that for a number a, its additive inverse is a number that when added to a equals to zero. This number is usually opposite in sign to a and of the same magnitude i.e -a. The law is given as:
a + (-a) = 0
From the points, F is the additive inverse of H, hence:
F + H = 0
6 + (-6) = 6 - 6 = 0
Hence the two points are F ad H