Rewrite the given equation as
.
Since
, you can conclude that the imimum value of y will be gained for the minimum value of
. The minimum value of
is 0 for x=2.
So, y(2)=0+4=4.
Answer: minimum value of y is 4, when x=2.
Volume = πr²h
Diameter = S
Height = S
Radius = S/2
Volume = π ( s²/4 ) s
1/4 πs³
The required answer is in the option ( A )
Hope helps!
Answer:
- (0, 4)
- (-1, 16/ 3)
- (-9/ 2, 10)
Step-by-step explanation:
In an ordered pair the term before the comma is the x variable and the term after the comma is the y variable.
1.
4x + 3y = 12 . . . . . .(0, _)
here were given the x variable
finding the other term
4× 0 + 3y = 12
3y = 12
y = 4
therefore the ordered pair is <u>(0, 4) </u>
2.
. . . . . . . (-1, _)
here were given the x variable
4 × -1 + 3y = 12
3y = 12 + 4
3y = 16
y = 16/ 3
ordered pair is <u>(-1, 16/ 3)</u>
3.
. . . . . . . . (_, 10)
here were given the y variable
finding the other term
4x + 3 × 10 = 12
4x + 30 = 12
4x = 12 - 30
4x = -18
dividing both sides by 2
2x = -9
x = -9/ 2
ordered pair is<u> (-9/ 2, 10)</u>
Since they are similar triangles, they are just enlarged versions of each other. This means that the left-most angle of triangle XYZ is also 35°.
Angles in a triangle add up to 180°, so we can find the missing angle by subtracting the two known angles from 180.
180 - 70 - 35 = 75
The right-most angle of triangle XYZ would be 75°.
Hope this helps!
