Answer:
10 x^7 + 6 x^5 - 4 x + 4
Step-by-step explanation:
16.54 as a mixed number is 16 27/50
Answer:
10/27
Step-by-step explanation:
3^x = 10
We want to find 3^(x-3)
Rewriting
We know that a^(b-c) = a^b * a^ (-c)
3^x * (3^-3)
We know that 3^-3 = 1/3^3
3^x * 1/27
10 * 1/27
10/27
The surface area of the composite figure is 524 square meters
<h3>Surface area of a figure</h3>
The given composite figure is made up of a triangular prism and a rectangular prism. The surface area of the figure is given as:
Surface area = 2(16*5+5*4+16*4) + (16*6) + 2(50)
Take the sum
Surface area = 2(80+20+64) + 96 + 100
Surface area = 2(164) +196
Surface area = 328 + 196
Surface area = 524 square meters
Hence the surface area of the composite figure is 524 square meters
Learn more on surface area here: brainly.com/question/1297098
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Answer: <u>y = -(1/2)x + 3</u>
<u></u>
Step-by-step explanation:
<u>y = 2x - 1</u>
This is in the format of y=mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).
Perpendicular lines have a slope that is the negative inverse of the reference line. The slope of this reference line is 2, so the slope of a perpendicular kline will be -(1/2).
This yields the equation y = -(1/2)x + b
To find the value of b, we can use the given point, (0,3) and use these values of x and y to solve for b:
y = -(1/2)x + b
3 = -(1/2)(0) + b
b = 3
The equation of a line perpendicular to y = 2x - 1 and goes through point (0,3) is:
y = -(1/2)x + 3
