Answer:
A. 6.2 X 10 ^-3
Step-by-step explanation:
First, you have to find the total weight by adding 0.0002 and 0.006 together, which gives you 0.0062. Then, follow basic setup of scientific notation by moving the decimal until one non-zero digit is to the left of the decimal, which brings the decimal to 6.2. Since you are moving the decimal right three places, the exponent is negative 3, making the notation 6.2 X 10 ^-3
331.3%
Convert 53/16 to simplest form, 3 5/16, convert 5/16 into numbers —> 0.3125
Take the whole number and add it into the ones place: 3.3125
Move the decimal into two places then round to the nearest tenth: 331.3
Answer: k = -1 +/- √769
<u>Step-by-step explanation:</u>
48x - ky = 11
<u>-48x </u> <u> -48x</u>
-ky = -48x + 11
Slope:
*************************************************************************
(k + 2)x + 16y = -19
<u>- (k + 2)x </u> -<u>(k + 2)x </u>
16y = -(k + 2)x - 19


Slope: 
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and
are perpendicular so they have opposite signs and are reciprocals of each other. When multiplied by its reciprocal, their product equals -1.
*
= -1
= 1
Cross multiply, then solve for the variable.
(k + 2)(k) = 16(48)
k² + 2k - 768 = 0
Use quadratic formula to solve:
k = -1 +/- √769
The correct answer is the second one, I already answered it.