Step-by-step explanation:
A function f(x) can be scaled by a factor of "a" and translated by (h,k) by the relation:
f(x) -> a f(x-h)+k
substitute f(x) by sqrt(x), then
sqrt(x) -> a*sqrt(x-h) + k
So the given equation is derived from f(x) = sqrt(x), hence a radical function.
Using the surface area formula for rectangular and triangular prism, the surface area of the composite figure is: 444 m².
<h3>What is the Surface Area of the Composite Figure?</h3>
Total surface area = surface area of the top triangular prism + surface area of the bottom rectangular prism - area of the surface both share together.
Surface area of the top triangular prism = (S1 + S2+ S3)L + bh = (10 + 10 + 16)5 + (16)(6) = 276 m².
Surface area of the bottom rectangular prism = 2(wl + hl + hw) = 2·(5·16+4·16+4·5) = 328 m²
Area of the surface both share together = 2(16)(5) = 160 m²
Total surface area = 276 + 328 - 160 = 444 m².
Learn more about the surface area of triangular prism on:
brainly.com/question/16147227
#SPJ1
Answer:
10,000
Step-by-step explanation:
The combination consists of four digits, hence 0000 to 9999. There at 10^4 or 10,000 possible combinations (but only one that works).
Answer:
Step-by-step explanation:
An ellipse is the locus of a point such that its distances from two fixed points, called foci, have a sum that is equal to a positive constant.
The equation of an ellipse with a center at the origin and the x axis as the minor axis is given by:
Since the distance of the satellite from the surface of the moon varies from 357 km to 710 km, hence:
b = 357 km + 959 km = 1316 km
a = 710 km + 959 km = 1669 km
Therefore the equation of the ellipse is:
The number of decorative pillows did the realtor arrange on each twin bed and queen bed is 6 and 9 respectively.
<h3>Simultaneous equation</h3>
let
- Number of decorative pillows for twin bed = x
- Number of decorative pillows for queen bed = y
x + y = 15
2x + y = 21
From equation (1)
x = 15 - y
- Substitute x = 15 - y into (2)
2x + y = 21
2(15 - y) + y = 21
30 - 2y + y = 21
- 2y + y = 21 - 30
-y = -9
y = 9
Substitute y = 9 into
x + y = 15
x + 9 = 15
x = 15 - 9
x = 6
Learn more about simultaneous equation:
brainly.com/question/16863577
#SPJ1
