Answer:
y = 7x
y = 2x -3
y = 3
x = -2
Step-by-step explanation:
- <em>Slope-intercept form: y= mx+b</em>
- <em>Parallel lines have same slope</em>
a)Parallel to y=7x+2 through the point (0,0)
<u>
This line will have a form:</u>
<u>Considering the given point of (0,0), to find the value of b:</u>
<u>The line is: </u>
b)Slope of 2 through the point (0,−3)
<u>
Solving as above:</u>
- y= 2x + b
- -3 = 2*0 + b ⇒ b = -3
- y = 2x -3
c)A horizontal line through the point (0,3)
<u>
A horizontal line will have constant value for y for any value of x:</u>
d)A vertical line through the point (−2,0)
<u>A vertical line will have constant value of x for any value of y:</u>
Answer:
The volume of water that remains on the cone is 523.6 cm³
Step-by-step explanation:
To solve this problem you have to keep in mind the formules that describes the volume of a cone and the volume of a sphere.
Volume of a cone = (πr²h)/3
Volume of a sphere = (4/3)πr³
So, if the base of the cone has a diameter of 10 cm, its radius is 5 cm. Its altitude is 10 cm. ⇒Volume = (πr²h)/3 ⇒ Volume = [π(5²)10) ⇒
Volume = 785.4 cm³. This is the initial volume of water.
Now if the sphere fits in the cone and half of it remains out of the water, the other half is inside the cone. Estimating the volume of the sphere and dividing it by two, you find the volume of water that was displaced.
Volume of a sphere = (4/3)πr³, here the radius is the same of the base of the cone (5 cm).
⇒ Volume = (4/3)π(5³) ⇒ Volume = 523.6 cm³ ⇒ The half of this volume is 261.8 cm³. This is the volume of water displaced.
⇒ The volume of water that remains on the cone is 523.6 cm³ (785.4 cm³- 261.8 cm³)
<span>90 degrees 0 minutes is the same as 89 degrees 60 minutes.
89 degrees 60 minutes minus 80 degrees 25 minutes equals:
9 degrees 35 minutes.
-----
your answer is:
9 degrees 35 minutes</span>
Answer:
7
Step-by-step explanation:
24^2+x^=25^2
576+x^2+576
49=X^2
square root 49 and x
x=7