The volume of the sculpture will be found by partition he sculpture such that we find the volume of different parts as follows:
volume of cuboid is given by:
v=length*width*height
thus the volume of the sculpture will be:
Volume=(15*4*4)+(10*4*4)+(5*4*4)
volume=240+160+80
volume=480 cubic inches
1. This function goes trough 3 points: ( 0,0),(8,0) and (4, -8) so we have to find f(0)=0, f(8)=0, f(4)= -8
f(0)= c=0✔️
f(8)=64 a +8b=0 divide by 4; 16a+2b=0 (1)
f(4)=16a+4b=-8 divide by 4; 4a+b= -2 (2)
From(2)
b=-4a-2
Substitute b in (1)
16 a+2( -4a-2)=0; 16a-8a-4=0; 8a=4
so a=1/2✔️
b=-2-2= -4✔️
The quadratic function is:
f(x)=(X^2)/2 -4x=0
2. This quadratic function goes trough points ( 2,12), (-4,0), (8,0)
The quadratic function is:
f(x)= (-x^2)/3. + 4x/3. +32/3
3. This quadratic function goes trough points ( 2, -6), (-1,0), (5,0)
The quadratic function is:
f(x)=(2x^2)/3. -8x/3. -10/3
4. This function goes trough points (0,2), (-2,0), (4,0)
The quadratic function is:
f(x)=(-x^2)/4. +x/2. +2
The answer to this question is 4 z
Answer:
C. ![y = 3+2\cdot x](https://tex.z-dn.net/?f=y%20%3D%203%2B2%5Ccdot%20x)
Step-by-step explanation:
Let be the parametric equations
and
, we need to clear
and eliminate it afterwards to obtain a function of the form
:
![x = 2 - 3\cdot t](https://tex.z-dn.net/?f=x%20%3D%202%20-%203%5Ccdot%20t)
![3\cdot t = 2 - x](https://tex.z-dn.net/?f=3%5Ccdot%20t%20%3D%202%20-%20x)
(1)
![y = 7 - 6\cdot t](https://tex.z-dn.net/?f=y%20%3D%207%20-%206%5Ccdot%20t)
![6\cdot t = 7 - y](https://tex.z-dn.net/?f=6%5Ccdot%20t%20%3D%207%20-%20y)
(2)
By (1) and (2):
![\frac{2}{3}-\frac{1}{3}\cdot x = \frac{7}{6}-\frac{1}{6}\cdot y](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D-%5Cfrac%7B1%7D%7B3%7D%5Ccdot%20x%20%3D%20%5Cfrac%7B7%7D%7B6%7D-%5Cfrac%7B1%7D%7B6%7D%5Ccdot%20y)
![4 -2\cdot x = 7 - y](https://tex.z-dn.net/?f=4%20-2%5Ccdot%20x%20%3D%207%20-%20y)
![y = 3+2\cdot x](https://tex.z-dn.net/?f=y%20%3D%203%2B2%5Ccdot%20x)
Hence, the correct answer is C.
Answer: x=12, y=30
Step-by-step explanation: 180=40+5x+2y+20, 140=5x+2y+20, 120=5x+2y, 60+60=120, so 5*12=60, and 2*30=60