When you write it as an inequality you get x + 19 ≈ 8.2 and when you solve it it should look like x + 19 ≈ 8.2
19 ≈ - <u>19
</u> x ≈ -10.8<u>
</u>
Given:
Composite figure made of cylinder and two spheres.
To find:
The volume of the composite solid.
Solution:
Radius = 2 in
The value of π = 3.14
<u>Volume of sphere:</u>
Volume of a sphere is 33.49 in³
Volume of two spheres = 2 × 33.49 = 66.98 in³
Radius of cylinder = 2 in
Height of cylinder = 8 - 2 - 2 = 4 in
<u>Volume of cylinder:</u>
V = 3.14 × 2² × 4
V = 50.24
Volume of cylinder = 50.24 in³
Volume of composite solid = Volume of two spheres + Volume of cylinder
= 66.98 in³ + 50.24 in³
= 117.2 in³
The volume of the composite solid is 117.2 in³.
Answer: slope intercept is solve for y
Step-by-step explanation:
point slope
y-y1=m(x1,y1) and the slope is m
given
slope=3
a point i (4,7)
y-7=3(x-4)
solve for y
y-7=3x-12
add 7 both sides
y=3x-5 is slope intercept form
Answer:
v tditofifkgofifoyofjfihkhjkvig
❇Answer: y=-5x+5
❇Explanation:
First I'll write down the points given:
(-2,15)➡1st point=(x1,y1)
(2,-5)➡ 2nd point=(x2,y2)
(6,-25)➡ 3rd point=(x3,y3)
(10,-45)➡4th point=(x4,y4)
Calculating slope using 1st and 2nd points:
slope= (y2-y1)/(x2-x1)
=(-5-15)/[2-(-2)]
=-20/4
=-5
Calculating slope using 3rd and 4th points:
slope= (y4-y3)/(x4-x3)
=[-45-(-25)]/(10-6)
=-20/4
=-5
Since slope of first two points and last two points are equal, all of these points lie on same line whose equation can be given in slope-intercept form as,
↪y=mx+c {m is slope}
↪y=-5x+c➡Eqn(1)
Let (0,c) be any point cutting y-axis making
y-intercept=c
Lets take 1st point and (0,c) and apply slope formula,
slope=(c-15)/[0-(-2)]
↪-5=(c-15)/2
↪c-15=-10
↪c=15-10
↪c=5
Put value of c in Eqn(1),
↪y=-5x+5
