4(1/4)+3(5/8)=
(4+3)+(1/4+5/8)
7+(2/8+5/8)
7+7/8
7 and 7/8
Hope I didn't mess up for your sake
Answer: (-2, -2)
Step-by-step explanation:
We will graph the equations. Then, we will decide which of the points is a solution. See attached for the graph. The point of intersection is the solution. This means the only solution is,
(2, 2)
Answer:
<u>65.4 cubic inches</u>
Step-by-step explanation:
Formula for the volume of a cone :
<u><em>Volume (cone) = 1/3πr²h</em></u>
<u><em /></u>
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Given :
⇒ diameter = 5 in. → radius = <u>2.5 in.</u>
⇒ height = <u>10 in.</u>
<u />
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Solving :
⇒ Volume (cone) = 1/3 × π × (2.5)² × 10
⇒ Volume (cone) = 62.5π/3
⇒ Volume (cone) = <u>65.4 cubic inches</u>
X²+4y²=36 / :36
x²/36 + y² / 4=1
a²=36. b²=9, where:a- semi-major axis, b - semi-minor axis
If the tangent line passes through point (12, 3 ) then the line equation is:
3 = 12 m + n (m=?, n=?), n = 3 - 2 m ( for the substitution )
Formula for tangent lines to the ellipse:
a²m² + b² = n²
36 m² + 9 = ( 3 - 2 m )²
36 m² + 9 = 9 - 72 m + 144 m²
-108 m² + 72 m = 0
m ( -180 m + 72 ) = 0, m 1= 0, m 2 =72/108 = 2/3
n 1=3 - 0 = 3, n 2= 3 - 12 * 2/3 = 3 - 8 =-5
Equations of the tangent lines are:
y = 3 x and y= 2/3 x - 5
5 times when all 5 times are up its 7:30 which if 3/4 of a hour which is 45 and is that time4learning?
